The solution of the equation is x = -0.21 and x = -1.79 and the steps used are from the quadratic formula.
What is quadratic formula?The quadratic formula in elementary algebra is a formula that gives the solution(s) to a quadratic problem. In addition to the quadratic formula, there are various methods for solving quadratic equations, including factoring (direct factoring, grouping, and the AC technique), completing the square, graphing, and others.
Given that, the equation is:
8x² + 16x + 3
The steps that could be used to solve the following equation are:
The quadratic formula is given as:
-b ± √b² - 4ac / 2a
Substitute the values:
x = -16 ± √(16)² - 4(8)(3) / 2(8)
x = -16 ± √256 - 96 / 16
x = - 16 ± 12.64 / 16
x = - 16 + 12.64/16 and x = - 16 - 12.64 / 16
x = -0.21 and x = -1.79
Hence, the solution of the equation is x = -0.21 and x = -1.79 and the steps used are from the quadratic formula.
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In AABC, G is the centroid and DC = 36.
Find DG and GC. Help me please!
Answer:
DG = 12 , GC = 24
Step-by-step explanation:
DC is a median of Δ ABC
on each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is
GC = 2 DG , then
DG + GC = DC , that is
DG + 2 DG = 36
3 DG = 36 ( divide both sides by 3 )
DG = 12
thus
DG = 12 and GC = 2 × 12 = 24
EXCERSIZE 2 Eastern Cape Sept V2 2013 Anver, who recently lost his job, decided to start his own rental car (taxi) business. Anver was paid a round sum of money of R400 000 from his previous employer. He used some of this money to pay a 15% deposit on a vehicle to the car dealer. After doing some research, he decided to buy a Toyota Quantum 2.5D-4D 14-seater passenger van. 1.1 r PH M'S Price: R392 900 Interest rate: Prime rate + 1% Term: 72 months
The answer of the question based on monthly installment is Anver's monthly installment is R6 253.27.
What is Formula?
In mathematics, formula is set of symbols or expressions representing mathematical relationship or the rule. Formulas are often used to describe and solve the problems in mathematics, science, engineering, and other fields.
To determine the amount of the loan, we can calculate 85% of the price of the van, which is the amount that Anver would have to borrow after paying the 15% deposit:
Amount of loan = 85% of R392 900
= 0.85 x R392 900
= R333 965
To determine the monthly installment, we need to use the formula for the present value of an annuity:
PV = PMT x (1 - (1 + r/n)^(-nt)) / (r/n)
We can calculate the annual interest rate by adding 1% to the prime rate. According to the South African Reserve Bank, the prime rate in September 2013 was 9%.
Annual interest rate = prime rate + 1%
= 9% + 1%
= 10%
Therefore, we can substitute the given values into the formula:
PV = R333 965
r = 10% / 12 = 0.8333%
n = 12
t = 72 / 12 = 6
Rearranging the formula to solve for PMT, we get:
PMT = PV x (r/n) / (1 - (1 + r/n)^(-nt))
Substituting the values, we get:
PMT = R6 253.27 (rounded to two decimal places)
Therefore, Anver's monthly installment is R6 253.27.
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Lamar claims that the weight, w, of her cat is almost 11 pounds. Which inequality
represents her claim?
A w ≤ 11
B w < 11
C w > 11
D w ≥ 11
Answer:
Lamar claims that the weight of her cat is "almost 11 pounds".
Since Lamar is using the word "almost", we can assume that she means the weight of her cat is very close to 11 pounds, but not exactly 11 pounds.
Therefore, we can represent Lamar's claim with the inequality:
B) w < 11
This is because if the weight of Lamar's cat is almost 11 pounds, but not exactly 11 pounds, then the weight must be less than 11 pounds.
in
f
4
5.NBT.I
5) Which is 19,502 in expanded
form.
x 9000 + 10x 50 + 2 x 1
2
9006 + 500
b) 1 x 1000 + 9 x 1000 + 5 x 100 +
2X1
c) 1 x 10000+ 9 x 1000 + 5 x 100 +
2 x 1
5.NF.I
6) TC
Swis
Ame
mor
pur
che
The expanded form of 19,502 is 1 x 10,000 + 9 x 100 + 5 x 10 + 0 x 1 + 2 x 1
How to determine the expanded formFrom the question, we have the following parameters that can be used in our computation:
19,502
The number 19,502 in expanded form is:
1 ten thousand + 9 hundreds + 5 tens + 0 ones + 2 units
So, in expanded form, 19,502 is written as:
Represent the words with numbers
So, we have the following representation
10,000 + 9 x 100 + 5 x 10 + 0 x 1 + 2 x 1
Hence, the expanded form is 1 x 10,000 + 9 x 100 + 5 x 10 + 0 x 1 + 2 x 1
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Complete question
5) Which is 19,502 in expanded form.
(a) 1 x 9000 + 10x 50 + 2 x 1
(b) 1 x 1000 + 9 x 1000 + 5 x 100 + 2 x 1
(c) 1 x 10000+ 9 x 1000 + 5 x 100 + 2 x 1
find the distance between two points (-9, 5) and (-9, -5)
Answer:
10
Step-by-step explanation:
(-9,5) (-9,-5)
[tex]x_{1} = -9\\y_{1} =5\\x_{2} =-9\\y_{2} =-5[/tex]
[tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2} -y_{1} )^{2} }[/tex]
[tex]\sqrt{(-9-(-9)^{2} +(-5-5)^{2} }[/tex]
[tex]\sqrt{(-9+9)^{2}+(-5-5)^{2} }[/tex]
[tex]\sqrt{(0)^{2}+(-10)^{2} }[/tex]
[tex]\sqrt{0+100}[/tex]
[tex]\sqrt{100} =[/tex] 10
As a part of a group exercise, 5students randomly selected 3 cards with angle measures written on them. The table below shows the results. (Multiple answers may be selected.)Cards SelectedNameAngle MeasuresSamuel100, 80, 60Aisha50, 45, 85Karen45, 45, 45Huan80, 50, 70Arsenio75, 35, 70Which students selected angle measures that could form a triangle?A.AishaB.SamuelC.HuanD.ArsenioE.Karen
Answer:
Aisha, Arsenio
Step-by-step explanation:
Because it adds up to a total of 180 degrees
Measure the diameter of the tin in mm and write down the real diameter in mm
The required real diameter of the tin is 250 mm.
What is the diameter?Diameter is the length of a straight line drawn through the center of a circular object, such as a circle or sphere. It is the distance between two locations on the object's edge that are furthest apart and pass through the object's center.
Here,
If the diameter of the tin in the picture is 10 cm, then the actual diameter of the tin can be calculated as:
Actual Diameter = 2.5 x Picture DiameterActual Diameter = 2.5 x 10 cmActual Diameter = 25 cmTo convert the actual diameter to millimeters (mm), we can multiply by 10:
Actual Diameter in mm = Actual Diameter x 10Actual Diameter in mm = 25 cm x 10Actual Diameter in mm = 250 mmTherefore, the real diameter of the tin is 250 mm.
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Full Question:
See the attached.
Show that T(u,v)=(u^2−v^2,2uv)T(u,v) maps the triangle ={(u,v):0≤v≤u≤1} to the domain D bounded by x=0, y=0, and y^2=4-4x. Use T to evaluate
The area of the image of the triangle under T is 5/9.
What is Triangle?
In geometry, a triangle is a closed two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is characterized by its three vertices (points where two sides intersect) and three sides (line segments that connect the vertices). The sum of the interior angles of a triangle is always 180 degrees, and the length of each side is less than the sum of the lengths of the other two sides.
To show that T maps the given triangle to the domain D, we need to find the image of the three vertices of the triangle under T and then show that the image lies inside D.
Let's first consider the vertex (0,0) of the triangle. Applying T, we get T(0,0) = (0,0). So the image of the vertex (0,0) is the origin, which clearly lies inside D.
Now let's consider the vertex (1,1) of the triangle. Applying T, we get T(1,1) = (0,2), which lies on the y-axis and satisfies y²=4-4x, so it lies inside D.
Finally, let's consider the vertex (u,0) of the triangle, where 0≤u≤1. Applying T, we get T(u,0) = (u²,0). This lies on the x-axis and satisfies y²=4-4x only when x=1, which is outside D. Therefore, the image of this vertex is not inside D.
Hence, we can conclude that T maps the triangle to the domain D, except for the line segment {(u,0):0≤u≤1}.
To evaluate the area of the image, we can use the fact that the area of the image of a region under a transformation is equal to the absolute value of the determinant of the Jacobian matrix of the transformation, multiplied by the area of the original region.
The Jacobian matrix of T is given by
J(T) = [2u -2v]
[2v 2u]
The absolute value of the determinant of this matrix is 4u² + 4v², so the area of the image of the triangle is
∫∫R 4u²+4v² dA,
where R is the region in the uv-plane corresponding to the triangle.
Integrating over R, we get
∫0 ∫v 4u²+4v² dudv
= ∫0 (4/3) (1-v³+3v²) dv
= (4/3) (1/4 - 1/16 + 1/3 - 1/12)
= 5/9.
Therefore, the area of the image of the triangle under T is 5/9.
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1/2 divided by 7 . Help asap .
To solve this division problem, we can use the rule "division is the same as multiplication by the reciprocal".
So, 1/2 ÷ 7 is the same as 1/2 x 1/7.
Multiplying the numerators and denominators, we get:
1/2 x 1/7 = 1/14
Therefore, 1/2 divided by 7 is equal to 1/14.
Answer: 1/14
Step-by-step explanation:
To solve 1/2 divided by 7, you would first make 7 a fraction as well, which is 7/1. Then you do the inverse operation and fraction which is multiplying. So now, the question is 1/2 multiplied by 1/7. That equals 1/14
PLEASE HELP PLEASE ASAP PLEASE HELP
What are the coordinates of each point after the quadrilateral RSTU is rotated 90 degrees about the origin?
The coordinates of each point after the quadrilateral RSTU is rotated 90 degrees about the origin are;
M = (1, 2)
N = (2, 4)
P = (4, 5)
Q = (3, 3)
What are the coordinates of each point?The coordinates of the quadrilateral RSTU is
R = (1, -2)
S =(2, -4)
T = (4, -5)
U = (3, -3)
When the quadrilateral RSTU is rotated 90 degrees about the origin, it forms the quadrilateral MNPQ which has the coordinates
M = (1, 2)
N = (2, 4)
P = (4, 5)
Q = (3, 3)
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How many more saplings with a height of 27 1/4 inches or less were there than saplings with a height greater than 27 1/4 inches?
(Total saplings- Saplings with a height greater than 27 1/4 inches) = Number of saplings with a height of 27 1/4 inches or less.
How to find height of an object?To find the height of an object in mathematics, you must first identify the shape of the object. Then, use the relevant formula for the shape to calculate the height. For example, if the object is a right triangle, the height can be found by using the Pythagorean Theorem. Additionally, if the object is a rectangle, you can use the formula for the area of a rectangle to calculate the height. Finally, if the object is a circle, you can use the formula for the circumference of a circle to find the height.
To solve this question, we will use the numerical approach. First, we need to subtract the number of saplings with a height greater than 27 1/4 inches from the total number of saplings. Then, we subtract the result from the total number of saplings. The result will be the number of saplings with a height of 27 1/4 inches or less.
Therefore, the equation is (Total saplings- Saplings with a height greater than 27 1/4 inches) = Number of saplings with a height of 27 1/4 inches or less.
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1. margie's parents have invested $900 into a puppy so that she could still have him when she's older. If the money grows at a simple interest rate of 3% for the next 10 years how much will the original investment have grown
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$900\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &10 \end{cases} \\\\\\ A = 900[1+(0.03)(10)] \implies A = 1170~\hfill \stackrel{ \textit{it grew by} }{\text{\LARGE 270}}[/tex]
In a certain weather forecast, the chances of a thunderstorm are stated as "5 in 23." Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.
Therefore, the likelihood of a thunderstorm is roughly 0.2174, or a 21.74% chance that one will occur.
What is probability?The study of random events or phenomena falls under the category of probability, which is a branch of mathematics. It is a way to quantify the possibility or likelihood of an event happening. A number between 0 and 1, where 0 denotes an improbable occurrence and 1 denotes a certain event, is used to express probability. By dividing the number of favorable outcomes by the total number of possible outcomes, one can determine the probability of an occurrence. In many disciplines, including statistics, economics, engineering, and science, probability is used to make predictions and well-informed choices in uncertain situations.
given
We must divide the amount of beneficial outcomes (chances of a thunderstorm) by the total number of possible outcomes in order to express the suggested degree of likelihood as a probability value between 0 and 1 inclusive.
When the likelihood of a thunderstorm is stated as "5 in 23," it indicates that out of a possible 23, 5 outcomes are likely to be favorable.
Therefore, the likelihood of a rainstorm is:
P (thunderstorm) is the ratio of the number of successful outcomes to all other possible outcomes.
Thunderstorm P(thunder) = 5 / 23
As a result, the probability value for the indicated degree of likelihood can be expressed as:
P(thunderstorm)= 5/230.2174
Therefore, the likelihood of a thunderstorm is roughly 0.2174, or a 21.74% chance that one will occur.
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Tommy goes to the video store and rents 2 video games for $3.99 each. He also rents the latest Sonic The Hedgehog movie for $3.50. He gives the clerk a twenty-dollar bill. How much change should Tommy receive?
Answer:
Step-by-step explanation:
he recives 8.52
Answer: $8.52
Step-by-step explanation:
First, you have to calculate how much Tommy spent, which is shown below:
2 x 3.99 = 7.98
7.98 + 3.5 = 11.48
Now that we know Tommy spent 11.48, we just subtract that from 20
$20.00 - $11.48 = $8.52
Suppose you want to have $600,000 for retirement in 25 years. Your account earns 4% interest.
a) How much would you need to deposit in the account each month?
$
b) How much interest will you earn?
$
According to given conditions, I will earn $913,441.60.
What is interest ?
Interest is the cost of borrowing money, usually expressed as a percentage of the amount borrowed. It is also the amount earned on an investment, usually expressed as a percentage of the amount invested. The rate of interest is determined by factors such as the level of risk involved, the term of the loan or investment, and prevailing market conditions.
To calculate the monthly deposit required, we can use the formula for the future value of an annuity:
FV = P * (((1 + r/n)[tex]^{(n*t)}[/tex]- 1) / (r/n))
where FV is the future value, P is the monthly deposit, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, we want to solve for P, so we can rearrange the formula:
P = FV * (r/n) / (((1 + r/n)[tex]^{(n*t)}[/tex]- 1))
Substituting the given values, we get:
P = 600000 * 0.04/12 / (((1 + 0.04/12)[tex]^{(12*25)}[/tex]- 1))
Simplifying and solving for P, we get:
P ≈ $1,518.14 per month
To calculate the interest earned, we can use the formula:
I = FV - P * t
where I is the interest earned, FV is the future value, P is the monthly deposit, and t is the number of years.
Substituting the given values, we get:
I = 600000 - 1518.14 * 12 * 25
Simplifying, we get:
I ≈ $913,441.60
Therefore, according to given conditions, I will earn $913,441.60.
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) Kamal's Burgers cooks its burgers either well done or medium. The restaurant served
100 burgers last night, 15% of which were well done. How many well-done burgers did the
restaurant serve?
Answer: 15
Step-by-step explanation: to find a percent of a number you use the formula : ( % x N )/100 where N is the number you are trying to find the percent of. So here 15x100= 1500 and this divided by 100 is 15
Answer:
15
Step-by-step explanation:
of means "x"
15% of which were well done
who is the which they refer here?
15% of 100 burgers were well done
15% x 100 burgers
15/100 x 100 burgers = ans
Raju went to a shop and bought 4 books at the rate of Rs 222.75 each, and 2 books are sold at Rs. 14 each.
Answer:
Raju spent a total of Rs 919.50. He bought 4 books at Rs 222.75 each, which cost Rs 891, and 2 books at Rs 14 each, costing Rs 28.50
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let's first calculate the total cost of the 4 books that Raju bought:
Cost of 1 book = Rs 222.75
Cost of 4 books = 4 x Rs 222.75 = Rs 891
Now, let's calculate the amount of money Raju received by selling 2 books at Rs 14 each:
Amount received by selling 1 book = Rs 14
Amount received by selling 2 books = 2 x Rs 14 = Rs 28
Therefore, the total cost of 4 books is Rs 891 and the total amount received by selling 2 books is Rs 28. To find Raju's overall expenditure, we need to subtract the amount received from the total cost of 4 books:
Raju's overall expenditure = Total cost of 4 books - Amount received by selling 2 books
= Rs 891 - Rs 28
= Rs 863
Therefore, Raju's overall expenditure is Rs 863.
Help with the answer
There are 3.79 litres in 4 quarts.
What is unit conversion?Unit conversion is the conversion between different units and measurements of the same quantity through a process of multiplication or division. In mathematics, conversion is the process of changing values in one form to another form like Inches to millimeters or liters to gallons.
Given in the table
1 quart = 0.9464 liter
4 quarts = 4 × 0.9464 litre
4 quarts = 3.7856 litres
hundredths means 2 digit right to the decimal point
3.7856 litres rounded to nearest hundredths
= 3.79 litres
Hence, 3.79 litres are there in 4 quarts.
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Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
26
Step-by-step explanation:
[tex] \sqrt{ {24}^{2} + {10}^{2} } = 26[/tex]
Answer:
26 units----------------------------
Given is the right triangle with legs of 24 and 10.
Find the hypotenuse using Pythagorean theorem:
[tex]\sqrt{24^2+10^2}=\sqrt{576+100} =\sqrt{676} =26[/tex]What is the value of x in the figure?
63°
56°
(x-3)
The value of x in the figure and given in the task content is; x = 64.
What is the value of variable x in the given figure?As evident in the task content; the figure is a triangle with angle measures; 63°, 56° and (x - 3)°.
Since the sum of interior angles of a triangle is; 180°.
Therefore, we have;
63° + 56° + (x - 3 )= 180°
open parenthesis
63 + 56 + x - 3 = 180°
x = 180 + 3 - 63 - 56
x = 64°.
Ultimately, the value of variable, x from the triangle is; 64°.
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2.1 Determine the number of faces the container has.(2)
If the container is closed rectangular it has six faces - a top, a bottom, and four rectangular sides. If the container has an opening, it has five faces - a top, a bottom, and four rectangular sides.
What is the number of faces of any geometry?The number of faces of any geometry can vary depending on its specific shape and design. In geometry, a face is a flat surface that forms part of the boundary of a solid object.
For example, a cube has six faces, a rectangular prism has six faces, and a sphere has no faces (because it is a curved surface with no edges or corners).
The number of faces in a container can vary depending on its shape and whether it has any openings. Here are some common types of containers and the number of faces they have:
Rectangular container: If the container is completely closed, it has six faces - a top, a bottom, and four rectangular sides. If the container has an opening, it has five faces - a top, a bottom, and four rectangular sides.
Circular container: If the container is completely closed, it has two faces - a top and a bottom. If the container has an opening, it has three faces - a top, a bottom, and a curved side.
Cylindrical container: If the container is completely closed, it has three faces - a top, a bottom, and a curved side. If the container has an opening, it has four faces - a top, a bottom, a curved side, and an additional flat side where the opening is located.
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Answer:
Step-by-step explanation:
Kaylee has a points card for a movie theater.
She receives 80 rewards points just for signing up.
She earns 11.5 points for each visit to the movie theater.
She needs at least 210 points for a free movie ticket.
Which inequality can be used to determine v, the minimum number of visits Kaylee needs to earn her first free movie ticket?
The correct option is (b) i.e. the given inequality best describes the situation.
What is an inequality?
inequality, a declaration of the relation of greater, greater than or equal to, smaller, or less than or equal to between two numbers or algebraic expressions. Theorems are statements of fact that express an inequality. Inequalities can also be expressed as questions that are solved using methods similar to those used to solve equations.
Given : She receives 80 rewards points just for signing up
She earns 11.5 points for each visit to the movie theater
the min. number of visits she needs to visit = v
and, She needs at least 210 points for a free movie ticket.
So, The inequality can be written as :
reward points + 11.5 points per visit ≥ 210
80 + 11.5 v ≥ 210
or, 210 ≤ 80 + 11.5 v
So, The correct option is (b).
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On the Junior League baseball field, you run 60 feet to first base and then 60 feet to second base. You are out at second base and then run directly along the diagonal to home plate. Find the total distance that you ran. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
We can use the Pythagorean theorem to find the distance from second base to home plate, which is the diagonal of a right triangle with legs of 60 feet each:
d = sqrt(60^2 + 60^2) = sqrt(7200) ≈ 84.85 feet
So the total distance that you ran is:
60 + 60 + 84.85 ≈ 204.9 feet
Rounded to the nearest tenth, the answer is:
204.9 feet ≈ 204.9 feet
43 Points, Will Give Brainlist and Hearts if work is shown and correctly.
I bought my daughter 2 guppy fish for her birthday. Guppy populations grow at a rate of 1700% per month. Write a formula that models the population of guppies and find the number of guppies I will have in 4 months.
The population of 2 guppy fishes that grows at a rate of 1700% per month indicates;
The formula for finding the guppies population is; P = P₀·(1 + r)^t The number of guppies after 4 months is 209,952 guppy'sWhat is a exponential growth formula?A population growth formula is a formula of the form; A = P·(1 + r)^t, where, A is the amount after a period of t months, (or days or years), at a growth rate of r.
Number of guppy fish bought = 2
Rate at which guppy populations grow = 1700% per month
The formula that models the population of guppies can be obtained as follows;
The population growth equation is an exponential formula that can be modeled using the following equation;
P = P₀·(1 + r)^tWhere;
A = The number after the number of months
P = The initial population of the guppy fish = 2
r = The percentage growth rate = 1700%
t = The time of growth in months = 4
Therefore, after 4 months the population of guppy fish will be;
A = 2 × (1 + 17)^4 = 209952
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What is X-5>10 ??!!!!!
The inequality expression x - 5 > 10 has its solution to be x > 15
How to evaluate the inequality expressionFrom the question, we have the following parameters that can be used in our computation:
x - 5 > 10
The above is an inequality; this is so because an inequality is a mathematical statement that compares two values or expressions, typically using symbols such as < , >, ≤, or ≥
Add 5 to both sides of the inequality expression
So, we have the following representation
x - 5 + 5 > 10 + 5
Evaluate the like terms
So, we have the following representation
x > 15
The above expression cannot be further simplified
Hence, the solution to the expression is x > 15
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What whole number value of n makes the equation
(7 to the 9th power • 7 to the 6th power) 2nd power over 7 to the n power
Use the number pad to enter your answer in the box.
N=
Answer:
Step-by-step explanation:
I don’t understand this app how do I use it
Determine whether the relation is a function.
((-3, -8), (3, 6), (5, -5), (7,-6), (10, 6)}
Select one:
A. Not a function
B. Function
The relation given is a function since each of the input value only maps to a single output value.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given are set of coordinate values of a relation.
We have to determine whether the relation is function or not.
The points are,
{(-3, -8), (3, 6), (5, -5), (7,-6), (10, 6)}
Domain of the relation are {-3, 3, 5, 7, 10}
Range of the relation are {-8, 6, -5, -6, 6}
We can see that each of the input value only maps to a single output value.
So the relation is a function.
Hence the relation is a function.
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José wants to join a swim club with a membership fee of $25 plus a charge of$1.25 each time he uses the pool. How many times can he swim before he has spent the $100 his grandparents gave him for his birthday? Identify the variable. Write an equation to represent the problem and solve it.
Answer:60
Step-by-step explanation:
100- 25= 75
75/1.25=60
helppp
A cylinder has volume 45 cm³. What is the volume of a cone with the same radius and height? O 15 cm³ O 22.5 cm³ O 90 cm³ 135 cm³
Solution is in the attachment!! :)
Write an equation for the relationship between time and distance for each horse.
The equations of the relationship are
A: y = 1/4x
B: y = 2/5x
How to determine the equations of the relationshipFrom the question, we have the following parameters that can be used in our computation:
The graph
We can see that the lines pass through the origin
This means that the equations can be represented as
y = mx
Where
m = slope
From the graph. we have
A = (8, 2)
B = (5, 2)
When these points are substituted, we have
A: 8m = 2
B: 5m = 2
When solved, we have
A: m = 1/4
B: m = 2/5
So, the equations are
A: y = 1/4x
B: y = 2/5x
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