Consequently, the equation y = x + 5 describes the relationship between the x and y values in the table.
what is function ?The study of mathematics comprises the study of quantities and their variations, equations and associated structures, shapes and their positions, and locations where they can be found. A combination of inputs and corresponding outputs are referred to as a "function," which describes the relationship between them. The term "function" refers to an association between inputs and outputs where each input produces a single, unique result. There are two domains, or scopes, assigned to each function. Usually, the symbol f is used to signify functions (x). input is an x. There are four basic categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
given
y = x+5
2.When x = 10,y = x+5 = 10+5 = 15
3.When x =15,y = x+5 = 15+5 = 20
4.When x = 20,y = x+5 = 20+5 = 25
Consequently, the equation y = x + 5 describes the relationship between the x and y values in the table.
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A polynomial function P(x) with rational coefficients has the roots sqrt 2 and - sqrt 13. Find two additional roots.
Answer:
[tex]-\sqrt{2}[/tex] and [tex]\sqrt{13}[/tex]
Step-by-step explanation:
Given a polynomial with rational coefficients, its irrational and complex roots would occur in conjugate pairs.
For example, if the roots of a polynomial are 2 + [tex]\sqrt{3}[/tex], 3 and 4 - 3i, then 2 - [tex]\sqrt{3}[/tex], and 4 + 3i are also roots of the polynomial.
Therefore, since the given polynomial has rational coefficients and some of its roots are , [tex]\sqrt{2}[/tex] and - [tex]\sqrt{13}[/tex], then -[tex]\sqrt{2}[/tex] and [tex]\sqrt{13}[/tex] are also roots of the polynomial.
The table shows the amount of words Andrew and ella can text per second Andrew : 1 | _
7 | 21
28 | 84
Ella : 1 | _
4 | 14
16 | 56 who can type faster?
In words , explain how you know. PLEASEEEE HELP ME !
Ella can type faster than Andrew because the rate at which she types is faster than Andrew's rate by 0.5 text per second.
What is rate of change?In Mathematics, rate of change can be defined as a type of function that describes the average rate at which a quantity either decreases or increases with respect to another quantity.
In this scenario, we would determine the rate of change with respect to the amount of words that Andrew and Ella can type per second as a ratio. For the amount of words that Andrew can type per second, we have:
Andrew = 7/21 = 28/84 = 1/3 or 1:3.
For the amount of words that Ella can type per second, we have:
Ella = 4/14 = 16/56 = 1/3.5 or 1:3.5
Difference = 3.5 - 3
Therefore, we can logically conclude that Ella can type faster.
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A grocery tore ha 13%-off ale on all bread. You decide to purchae 6 loave of bread. Let b be the original price of a loaf of bread. Expand the expreion 6(b-0. 13b). Once the expreion i expanded, who do the term repreent
6b - 0.78b it will result after expanding the expression.
What is an expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.
There are three different expression types:
There is just one arithmetic value that an arithmetic expression may produce.A character expression evaluates to just one character value.One logical value is produced by the evaluation of a logical or relational statement.Let, b represent the original price of a loaf of bread.
Given that,
A grocery store has 13%-off sale on all bread.
This means that the amount by which the price of bread was reduced would be
13/100 × b = 0.13 × b = 0.13b
The new price for the loaf of bread would be: b - 0.13b
you decide to purchase 6 loaves of bread. The expression would be:
6(b - 0.13b)
Expanding the expression, it becomes: 6b - 0.78b
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what can 8 and 32 both divided by
Answer:
2,4,8
Step-by-step explanation:
A right triangle has two equal sides. The hypotenuse is 10 cm. What is the perimeter of the triangle?
I'LL GIVE BRAINLIEST I JUST RLLY NEED THIS LOL
Answer:
Isosceles Right Triangle Example
Step-by-step explanation:
Find the area and perimeter of an isosceles right triangle whose hypotenuse side is 10 cm. Therefore, the length of the congruent legs is 5√2 cm. Therefore, the perimeter of an isosceles right triangle is 24.14 cm.
Hope this answer helps ^^
A set of middle school student heights are normally distributed with a mean of 150150150 centimeters and a standard deviation of 202020 centimeters. Darnell is a middle school student with a height of 161.4161.4161, point, 4 centimeters.
Complete question :
A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnell is a middle school student with a height of 161.4 centimeters.
What proportion of student heights are lower than Darnell's height?
Answer:
0.716 (71.6%)
Step-by-step explanation:
Given that :
Mean, μ = 150
Standard deviation, σ = 20
Darnell's height, x = 161.4
(x < 161.4)
We obtain the standardized score, then find the proportion using a standard normal distribution ;
Zscore = (x - μ) / σ
Zscore = (161.4 - 150) / 20
Zscore = 11.4 / 20
Z = 0.57
P(Z < 0.57) = 0.71566 (Z probability calculator)
This means that about 0.716 (0.716 * 100% = 71.6%) of student's height are lower than 161.4 centimeters
Answer: 0.11
Step-by-step explanation:
Since we know the distribution of heights is normally distributed, the probability P(X>175) can be found by calculating the shaded area above X=175 in the corresponding normal distribution:
P(X>175)≈0.11 is the answer.
2) A mom-and-pop bistro is built on a rectangular lot. If the area of the lot is 750 m^2, find the area of the bistro.
Answer:
not enough information
Step-by-step explanation:
I need help and please no links
Answer:
I need help and please no links
here's the answer
x=-5/3
Why is it important to use
estimation when solving problems?
Answer: Without estimation skills, students aren't able to determine if their answer is within a reasonable range.
Step-by-step explanation:
to make sure your answer at least make sense to the question
Which of the following is an angle shown in the drawing?
∠DEB
∠CBF
∠ABF
∠BEC
Answer:
<DEB
Step-by-step explanation:
It's pretty simple actually. You just have to follow the letters to see if they make an angle. Please mark brainliest. :)
Please help me ASAP!!
D (b,c)
\C (a,0),
A(-.-)
B
What is the perimeter of the hexagon?
Answer:
D
Step-by-step explanation:
buohcuihefjejfkjkclhfvujhfjvnkljsfnvnfuhvnkk j bljfvnk nvn fv bvkjnfn vn hbfvkjbdvn vhbvfj hbf fd vdkjkfnvkjdnjvn df jb j bn bfkjbs jsb
Type the correct answer in the box. Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius, r, of the circle measured in inches is modeled by the function , where s is time in seconds. The area of the spill when seconds is square inches.
The area of the oil spill is 2.924π square inches.
What is the radius of the circle?
Any line segment connecting a circle's center to its perimeter is considered a circle's or sphere's radius, and in more recent usage, their length is also considered. The word "radius" is derived from Latin and means "ray" as well as "the spoke of a chariot wheel."
Here, we have
The radius of the circle of oil spread is modeled by the function r = ∛s where s = time in seconds.
The area of the oil spill A = πr²
= π(∛s)²
So, we need to find the area of the oil spill when s = 5.
So, A = π(∛s)²
A = π(∛5)²
A = π(1.7099)²
A = 2.924π square inches.
Hence, the area of the oil spill is 2.924π square inches.
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can somebody please help me with this
The scale factor of the image is 1/4 or 0.25.
What is scale factor?
The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
To solve this question, use the coordinates of WX and W'X' as points of reference.
From the diagram, it can be obtained that -
W(-8,8) and X(8,0)
W'(-2,2) and X'(2,0)
First, calculate distance for WX -
Distance formula is -
d = √(x2-x1)^2+(y2-y1)^2
Distance for WX -
d1 = √(8+8)^2+(0-8)^2
d1 = √(16)^2+(-8)^2
d1 = √256+64
d1 = √320
d1 = 17.88
Distance for W'X' -
d2 = √(2+2)^2+(0-2)^2
d2 = √(4)^2+(-2)^2
d2 = √16+4
d2 = √20
The scale factor is then calculated using -
Scale = W'X'/WX
Scale = d2/d1
Substitute values of d1 and d2 -
Scale =√20/√320
Scale = √(20/320)
Scale = √1/16
Scale = 1/4
Therefore, the scale value is 0.25.
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What is the area of this figure?
4 ft
10 ft
11 ft
9 ft
15 ft
19 ft
square feet
Answer:
okok so you have all those numbers
remember area is multiplying
so multiply all that so that gives u
1,128,600
im not 100% sure but i think
consider the fahrenheit thermometer. what does zero mean in this context
minuscule temperature. There are a number of tales of how he initially created his scale, but the original publication states that the lower Fahrenheit defining point, 0 °F, was set as the freezing temperature of a brine solution made from a combination of water, ice, and ammonium chloride (a salt).
How do Fahrenheit and Celsius compare?Thus, the difference between Celsius and Fahrenheit is 1.8 times. In other words, 1 degree Fahrenheit is equivalent to 5/9 degree Celsius. These two temperature scales overlap at -40 degrees, which means that -40 degrees Fahrenheit is equivalent to -40 degrees Celsius despite their quite significant discrepancies.
How hot or chilly is Celsius?°C) is a different unit of measurement for temperature. Except for the United States, most nations use Celsius as their unit of measurement. 0 degrees Celsius is really chilly. 40 degrees is a scorching temperature!
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Mitch measured a house and its lot and made a scale drawing. The scale of the drawing was
1 inch : 2 feet. The deck is 23 inches in the drawing. How long is the actual deck?
feet
(Enter the number only, no units or extra spaces.)
Answer:
4in
Step-by-step explanation:
Answer:
46 feet
Step-by-step explanation:
23 x 2 = 46
What is a 3 degree equation called?
A three-degree equation is referred to as a cubic equation. The polynomials are referred to as cubic polynomials if they have a degree of three.
what is cubic equation ?A three-degree equation is referred to as a cubic equation. All cubic equations have roots that are either three real roots or one real root and two imaginary roots. The polynomials are referred to as cubic polynomials if they have a degree of three. The opposite of cubing an integer is finding the cube root of that number. It can be determined by first determining how the given integer can be divided into prime factors, and then by using the cube root formula.
given
A three-degree equation is referred to as a cubic equation.
All cubic equations have roots that are either three real roots or one real root and two imaginary roots.
The polynomials are referred to as cubic polynomials if they have a degree of three.
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Help please I don’t know what the answer is
Answer:
69
Step-by-step explanation:
becuz
What is the difference of polynomial and equation with example?
A polynomial is an expression involving variables and coefficients, which is formed by adding, subtracting, multiplying, and taking non-negative integer exponents of the variables. A mathematical statement that two expressions are equal is known as an equation.
A mathematical statement that two expressions are equal is known as an equation.
Example of a polynomial:
2x^2 + 3x + 5
Example of an equation:
2x^2 + 3x + 5 = 0
Let's say we are solving the equation 2x^2 + 3x + 5 = 0
Step 1: Subtract 5 from both sides.
2x^2 + 3x = -5
Step 2: Divide both sides by 2.
x^2 + 3/2 x = -5/2
Step 3: Use the quadratic formula to solve for x.
x = (-3 ± √17) / 4
Step 4: Simplify the answer.
x = (-3 ± 4.12) / 4
Step 5: Solve for the two values of x.
x = -0.78 or x = 3.28
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CAN SOMEONE HELP ME PLEASE!!! I WILL GIVE THE BRAINIEST AND 100 POINTS!!!
Step-by-step explanation:
the length of hypotenuse =
√(21²+28²) = √(441+784)
= √1225
= 35 yd
the perimeter of triangle =
21+28+35 = 84 yd
the area of triangle =
½×21×28 = 294 yd²
Answer: 35 yd
Step-by-step explanation:
28^2+21^2=1225
√1225
=35
Transversals
Find the value of x.
Answer:
look at the picture I sent
Suppose an earthquake can be felt up to 80 miles from its epicenter. You are located at a point 60 miles west and 45 miles south of the epicenter. Do you feel the earthquake? If so, how many miles south would you have to travel to be out of the range of the earthquake?
Answer:
Yes (you are 75 mi from epicenter). Travel at least 7.91 mi south
Step-by-step explanation:
See the attached image.
The epicenter is the point at the upper right of the drawing. You are 60 miles west (left) and 45 miles south (down) from the epicenter. A right triangle is formed--apply the Pythagorean Theorem, (leg)^2 + (leg)^2 = (hypotenuse)^2.
[tex]x^2=60^2+45^2\\\\x^2=3600+2025\\\\x^2=5625\\\\x=\sqrt{5625}=75[/tex] This is within 80 mi, so you feel the quake.
Now (see image2) you go y miles south. You want the distance between you and the epicenter to be at least 80 mi. You have another right triangle with legs 60 and y + 45 and hypotenuse 80.
[tex](y+45)^2+60^2=80^2\\\\(y+45)^2+3600=6400\\\\(y+45)^2=2800\\\\y+45=\sqrt{2800}\\\\y=\sqrt{2800}-45 \approx 7.91 \rm mi[/tex]
. On Monday, Deborah ran 32/5 miles and on Tuesday she ran 41/5 miles. How many miles did she run on these two days together?
Answer: She ran 7 3/5 miles on the two days
Step-by-step explanation
Miles ran by Deborah on Monday =32/5 miles
Miles ran by Deborah on Tuesday = 41/5 miles'
Total miles ran by Deborah on the two days
=3 2/5 +4 1/5
=7 2+1 /5
=7 3/5 miles
# Morgan is making two cookie recipes. Recipe A calls for one-third less than twice the number of cups
of sugar that Recipe B calls for. If she needs four and one-sixths cups of sugar in all, how many cups will she need for Recipe A?
Answer: 2 2/3
Step-by-step explanation:
Ten out of every 32 people
surveyed play Among Us.
What percent of people
surveyed play Among Us?
Answer:
5%
Step-by-step explanation:
terrence uses pieces of wood that are 10 inches long to make whistles. he has a piece of would that is 12 and a half feet long. how many whistles can he make?
Answer:
15 whistles
Step-by-step explanation:
12.5 feet is 150 inches
150 ÷ 10 = 15
Tyler wants to buy a new tub and that cost $312. He has already saved the plan to save $24 per week over the next few weeks which shows the number of waves tower will need to say to be able to buy the television.
Answer:
13 weeks
Step-by-step explanation:
Given that :
Cost of new tub = $312
Planned saving per week = $24
The number of weeks he'll have to save in other to be able to afford the tub can be obtained using the relation :
Number of weeks = cost of new tub / weekly saving
Number of weeks = $312 / $24
Number of weeks = 13 weeks
Add (-5+2i) +(3+4) please answer this and you’ll receive 100 pts
Answer:
2+2i
Step-by-step explanation:
(-5+2i)+(3+4)
-5+3+4+2i
-5+7+2i
2+2i
3 An art class is making mosaics with glass squares. Each of the 121 students will get the same number of glass squares to use. The total number of glass squares for the students to use is shown. How many glass squares will each student get? A. Write an expression that can be used to find the number of glass squares each student will receive. B. Complete the given division problem to find the number of squares each student will receive. C. How many whole glass squares will each student receive? 1,240 glass squares D. A remainder is the amount left over when an amount cannot be divided equally. What does the remainder mean in this context? 121)1240 30 R
Answer: A. To find the number of glass squares each student will receive, we need to divide the total number of squares by the number of students.
We can write this as:
x = number of glass squares per student
x = 1240 / 121
B. To find the number of squares each student will receive, we need to solve for x by dividing 1240 by 121.
1240 ÷ 121 = 10.246753246753247
C. Each student will get 10 whole glass squares.
D. The remainder in this context is the number of glass squares that cannot be distributed evenly among the students. In this case, the remainder is 30. It means that there will be 30 glass squares left over after each student has received 10 squares. It's like remainder in division where after dividing 1240 by 121 the quotient is 10 and the remainder is 30.
Step-by-step explanation:
Quadrilateral FGHI is similar to quadrilateral JKLM. Find the measure of side JK. Figures are not drawn to scale.
The measure of side KL in the given quadrilateral is 31.88 units.
What is a Quadrilateral?A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry.
The Latin words Quadri, a variation of four, and latus, meaning "side," are the source of the name.
A two-dimensional shape with four sides, four vertices, and four angles is referred to as a quadrilateral.
Convex and concave are the two main forms.
Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.
So, according to the given figure of FGHI and JKLM:
FG/JK = GH/KL = HI/LM = FI/JM
GH/KL = HI/LM
7/KL = 9/41
KL = 7*41/9 = 31.888
Therefore, the measure of side KL in the given quadrilateral is 31.88 units.
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Correct question with a diagram:
Quadrilateral FGHI is similar to quadrilateral JKLM. Find the measure of side KL. Round your answer to the nearest tenth.