Answers
the equation in the form of slope interpretation is y = 1/3x -4.
What is a Linear equation?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation has the conventional form y = mx + c.
Given data in a table such as it makes a linear equation slope-intercept form of the given equation is y = mx +c
Where m is the slope
c is constant
The slope for the given data
m = (y₂ - y₁) / (x₂ - x₁)
m = (-5 + 6 )/ (-3 + 6)
m = 1/3
Hence, the equation would be
y = 1/3x + c
for constant we would satisfy the equation with other coordinates of the line.
Substituting ( 0, -4) in the above equation
-4 = 0 + c
c = -4
thus, the equation of the line is y = 1/3x -4
therefore, the linear equation of the given data is y = 1/3x -4.
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Related Questions
What is the rate of change of the function y= 3/4x - 2
Answers
Answer:
rate of change = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{3}{4}[/tex] x - 2 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
the slope is a measure of the rate of change , then
rate of change = [tex]\frac{3}{4}[/tex]
Two numbers total 43 and have a difference of 11 Find the two numbers.
Answers
Answer:
27 and 16
27 + 16 = 43
And the difference between them ( 27-16) = 11
Step-by-step explanation:
y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost for rear crash repair cost for a certain models sedan use the equation to predict the full rear repair cost from a full front repair cost of $4594
Answers
Therefore the predicted full rear repair cost would be $1211.576 if y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost.
What is line of regression?When modeling the connection between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, while multiple linear regression is used when there are numerous variables.
What is scalar?Physical values known as scalars are unaffected by modifications to the vector space basis. Scalars frequently include units of measurement, such as "10 cm." Scalar quantities include things like mass, space, charge, volume, time, speed, and the overall size of physical vectors.
To predict the full rear repair cost from a full front repair cost of $4594, you would substitute 4594 for x in the equation y = 2060 - 0.186x and solve for y.
y = 2060 - 0.186(4594)
y = 2060 - 848.424
y = 1211.576
So the predicted full rear repair cost would be $1211.576
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Answer:
$1,206
Step-by-step explanation:
Find the length of FH.
12
11
F
FH
Answers
Answer:
23
Step-by-step explanation:
FH=FG+GH
FH=11+12
FH=23
(11)+(12)=FH by Substitution.
23=FH by addition.
Therefore, the overall length of segment FH is 23 because the two other segments add to find the total of FH.
An employee at an aquarium monitors how much their sea otters eat. The amount of food a particular otter eats
daily is approximately normally distributed with a mean of 17 pounds and a standard deviation of 1 pound. They
suspected this otter was not eating enough, so they took a random sample n = 10 days and observed a sample
mean of T = 16.5 pounds of food per day.
To see how likely a sample like this was to occur by random chance alone, the employee performed a simulation.
They simulated 40 samples of n = 10 values from a normal population with a mean of 17 pounds and a
standard deviation of 1 pound. They recorded the mean of the values in each sample. Here are the sample
means from their 40 samples:
Answers
Answer:
0.125
Step-by-step explanation:
5/40 simulated results were at or below mean 16.5
The approximate p-value of the test that's given in this scenario will be p-value = 0.125.
What is p-value?P-value simply means the probability that a test statistic can be seen to be extreme or more.
From the complete question, the approximate p-value of the test is 0.125. The p-value measures the probability that a difference could have taken place by random chance.
In conclusion, the observed difference in this case can be attributed to chance by 12.5%.
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What are the main things I need to know when doing variables on both sides of the equation?
Answers
Answer:
Make sure to keep track of the signs of the variables. If you add or subtract a variable on one side of the equation, you must do the same to the other side.
Don't forget to distribute if you have a variable inside parentheses. For example, if you have 3x + 2(x + 4) = 7, you would need to distribute the 2 to get 3x + 2x + 8 = 7.
When solving for a variable, make sure to perform the same operation on both sides of the equation to isolate the variable. For example, if you want to solve for x in the equation 3x + 2 = 7, you would need to subtract 2 from both sides to get 3x = 5.
Exponential Function
Which of the following is true about the function y = 4 · 3×?
a. the function decreases
b. the function has a y-intercept of (0, 3)
c. if the value of x increases by 1, the value of y will triple.
d. the function contains the point (1, 4)
Please select the best answer from the choices provided
Answers
Answer:
C. If the value of x increases by 1, the value of y will triple.
Step-by-step explanation:
I calculated it logically
Is this relation a function? Justify your answer.
11
10
9
8
7
654321
1 2 3 4 5 6 7 8 9 10 11
OA. Yes, because every x-value corresponds with a single y-value.
OB. Yes, because the number of x-values is the same as the number of
y-values.
OC. No, because two points with the same y-value have different x-
values.
OD. Yes, because every x- and y-value is positive.
Answers
Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.
What is meant by function?A function is a relationship between a collection of inputs and one output per input. A function is, to put it simply, an association between inputs where each input is linked to exactly one output.For each function, a domain, codomain, or range exists. A function is often represented by the expression f(x), where x represents the input.A "chunk" of code that may be utilized repeatedly rather than having to be typed down repeatedly is called a function.Programmers can break a huge problem down into smaller components, each of which can perform a specific purpose, by using functions.Therefore,
(i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)
Every input has a single output, proving that it is a function.
The elements in the domain of the provided relation are therefore 2,5,8,11,14, and 17.
Here, domain is equal to two and range is one.
(ii) (2,1),(4,2),(6,3),(8,4),(10,5)(12,6),(14,7)
Every input has a single output, proving that it is a function.
Therefore, 2, 4, 6, 8, 10, 12, and 14 make up the domain of the provided relation.
Here, range is 1,2,3,4,5,6,7 and domain is 2,4,6,8,10,12,14.
(iii) (1,3),(1,5),(2,5)
Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.
The complete question is:
Which of the following relations are functions? Give reasons.
If it is a function determine its domain and range
(i) (2,1),(5,1),(8,1),(11,1),(14,1),(17,1)
(ii) {(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)
(iii) {(1,3),(1,5),(2,5)
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Solve the system with elimination. 2x+2y=4 x+3y=6
Answers
Answer:
Point Form:
(0,2)
Equation Form:
x=0,y=2
Step-by-step explanation:
Some1 hurry up and help me plzzz!!!
Answers
Statement D is false, -1 ≠ -(-1) because -1 ≠ 1
how do i do this
find the difference of 24-3k and 5k-11.
Answers
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
A 969 acre wildlife preserve has 19 cheetahs. About how many acres does each cheetah have to itself, if each cheetah roams the same number of acres?
Answers
By taking a quotient, we will see that each cheetah has around 51 acres for itself.
About how many acres does each cheetah have to itself?If we assume that the cheetahs are evenly distributed along the whole area, then the number of acres that each cheetah has to itself is equal to the quotient between the total area, and the total number of cheetahs.
There are 969 acres and 19 cheetahs, then the quotient is:
969/19 = 51
That is the number of acres that each cheetah has for itself.
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Slope intercept form
Answers
Answer:
The formula for finding Slope Intercept Form is y = mx + b.
Step-by-step explanation:
Y - Y coordinate
M - Slope
X - X coordinate
B - Y Intercept
This formula is used for finding the equation of a line.
What is the factored form of the expression x2−4x ? 4
Answers
Which expression could be used to determine the product of –4 and 3 and one-fourth?
(negative 4) (3) times (negative 4) (one-fourth)
(negative 4) (3) + (negative 4) (one-fourth)
(3) (negative 4) times (3) (one-fourth)
Answers
The expression which could be used to determine the product of -4 and 3 and one-fourth as required is; negative 4) (3) + (negative 4) (one-fourth).
Which expression can be used to determine the product of the given word phrase?As evident in the task content; the expression which could be used to determine the product of; -4 and 3 and one-fourth is required to be determined.
Since the given expression is; -4 and 3 and one-fourth; we have that;
-4 × 3 ¼
However, since 3 ¼ can be written as; ( 3 + ¼ ), it follows that we have;
-4 × ( 3 + ¼ )
Ultimately, the resulting expression using the distributive property is;
( -4 ) ( 3 ) + ( -4 ) ( ¼ )
Therefore, the correct answer is; (negative 4) (3) + (negative 4) (one-fourth).
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Find the volume of the given prism. Round to the nearest tenth if necessary.
Find the surface area of the cylinder to the nearest whole number,
Answers
Answer:
18. 2,047.5 yd³
19. 3204 in.²
Step-by-step explanation:
18. Volume of triangular prism = triangular base area × height of prism
Height of prism = 21 yd
Triangular base area = ½*b*h
b = 15 yd
h = √(15² - 7.5²) = √168.75 ≈ 13 yd
Triangular base area = ½*15*13 = 97.5 yd²
Plug in the values into the formula of the volume of prism
Volume of prism = 97.5 × 21
= 2,047.5 yd³
19. Surface area = 2πrh + 2πr²
Where,
r = 15 in.
h = 19 in.
Plug in the values
Surface area = 2*π*15*19 + 2*π*15²
Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)
Please help me.
11 Find the lateral area and surface area of a regular square pyramid with base edge length 6 m and slant height 8 m.
Answers
Answer:
area of square =length × length ×height
=6×6×8
=288
Show that 12 multiplied by 4 is 48, using at least three daily life examples.
Answers
Answer:
Step-by-step explanation:
If there are 12 cookies in a package and you want to buy 4 packages, you will need a total of 12 x 4 = 48 cookies.
If you have a dozen eggs and you want to make 4 omelets, you will need a total of 12 x 4 = 48 eggs.
If you have 12 pieces of fruit and you want to make 4 fruit salads, you will need a total of 12 x 4 = 48 pieces of fruit.
HELP ME !! AND EXPLAIN HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answers
Answer:
D = 75°E = 37°F = 68 ° GivenStep-by-step explanation:
[tex](13x - 3) + (6x + 1) + (68) = 180 \\ 19x + 66 = 180 \\ 19x = 180 - 66 \\ x = \frac{114}{19} \\ x = 6 \\ \\ \\ d = 13x - 3 \\ d = 13(6) - 3 \\ d = 75 \\ \\ e = 6x + 1 \\ e = 6(6) + 1 \\ e = 37 \\ \\ f = 68 \\ \\ check \: \: \: 75 + 37 + 68 = 180[/tex]
I hope that is useful for you :)
Equations of Exponential Functions
Given the following equation of an exponential function
R = 10.5(0.535)t
determine the base, b, of the exponential model. Is the base a growth or decay factor?
a. b is 0.535; It is a growth factor.
b. b is 0.535; It is a decay factor.
c. b is 10.5; It is a growth factor.
d. b is 10.5; It is a decay factor.
Please select the best answer from choices provided
Answers
Answer:
B. B is 0.535; It is a decay factor.
Step-by-step explanation:
I calculated it logically
Answer:
B. b is 0.535; It is a decay factor.
In 2000 a company increased its workforce by 60%. In 2001 it decreased its workforce by 60%. How does the size of its workforce at the end of 2001 compare with the size of the workforce at the beginning of 2000?
A) It is 36% lower.
B) It is 6% lower.
C) It is unchanged.
D) It is 36% higher.
I know that the answer is A, but I'm having trouble figuring out the steps. Can anyone help me?
Answers
Therefore, the solution of given problem of percentage indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
A percentage is defined.A% is a number that expresses a quantity as a percentage of 100; it can also be expressed as a decimal or a fraction. Placing 100 in the denominator and the percentage value in the numerator will allow you to convert a percentage to a fraction.
Here,
Before any changes,
let w represent the size of the workforce. There are:
50 percent growth is equivalent to increasing by 1.5, therefore w(2000) = w(1999) * 1.5
A 50% drop is equal to dividing by 1.5, therefore w(2001) = w(2000)/1.5
Reverse the first equation to create the second equation.
w(2001) = w(1999) * 1.5/1.5
Remove the 1.5 from the top and bottom so that w(2001) = w (1999)
Therefore, this indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
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If Braulio bought 34 spinners for $5.44, how much would he pay for 20 spinners? Estimate the unit rate, and then solve the problem. Write a paragraph to explain the process and justify your response.
Answers
Answer:
The estimated total cost for 20 spinners is $3.2.
Step-by-step explanation:
To find out how much Braulio would pay for 20 spinners, we can first calculate the unit rate (price per spinner), and then use that to estimate the total cost of 20 spinners.
The unit rate is the price of a single item (spinner in this case) divided by the number of items. In this case, the unit rate is:
$5.44 / 34 spinners = $0.16 (approximately)
We can now use this unit rate to estimate the total cost of 20 spinners by multiplying it by the number of spinners:
20 spinners * $0.16/spinner = $3.2
So the estimated total cost for 20 spinners is $3.2.
In this process, we first found out the unit rate i.e how much one spinner costs, which is $0.16. We then multiplied the unit rate with the number of spinners we wanted to buy. By doing this, we were able to estimate the total cost of buying 20 spinners. It's important to note that this is an estimate, as the actual cost may be slightly different due to rounding or other factors. However, the unit rate method provides a useful way to quickly estimate the cost of a purchase when the unit price and quantity are known.
For the question below, think carefully about what you divide 80 by to calculate the value of one part.
In a housing estate the direct proportion of flats to houses is 2:5. If there are 80 flats, how many houses are there?
Answers
Answer:
200
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] = [tex]\frac{80}{x}[/tex]
2 x 40 = 80, so
5 x 40 = 200
Answer:
200 houses
Step-by-step explanation:
Flat: 2 parts = 80 flats
1 part => 80 : 2 = 40 flats
Houses: 5 parts = 40 x 5 = 200 houses
Find the volume of the cone below, use 3.14 for pi.
9 cm
12 cm
Answers
Answer:
763.02
Step-by-step explanation:
(3.14 x 4.5^2)12 = 763.02
Help? Can anyone help? I’ll give Brainly! It’s not 2,700... thank you!!
Answers
9514 1404 393
Answer:
$2604
Step-by-step explanation:
The tax due on $50,000 is ...
0.02(2000) +0.05(9000 -2000) +0.054(50000 -9000)
= 0.054(50000) -9000(0.054 -0.05) -2000(0.05 -0.02)
= 2700 -36 -60
= 2604 . . . . dollars tax due
simplify (2^3)^-2
A -1/64
B 1/64
C 2
D 64
Answers
Answer: B. 1/64
If you are wondering what app I use to get the answer it is called Cymath. Have a good night.
Please help me solve this
Answers
a. The model represents exponential growth.
b. The annual percentage increase is 3%.
c. After 2390 decades the population was about 590000.
What is the formula for exponential growth and exponential decaying function?The formula for exponential growth is [tex]y = y_₀.e^{(kt)}.[/tex]
The formula for exponential decay is [tex]y = y_₀.e^{(-kt)}.[/tex]
Given, The population P(in thousands) of Austin Texas during a recent decade is approximated by [tex]y = 492(1.03)^t[/tex].
The model represents exponential growth as time can not be negative.
The annual percentage increase in the model [tex]y = 492(1.03)^t[/tex] is 3%
as 1.03×100% = 103%.
The time when the population was about 590000 since the beginning of a decade is,
[tex]590000 = 492(1.03)^t[/tex].
[tex](1.03)^t = 590000/492[/tex].
[tex](1.03)^t = 1199.1869[/tex].
[tex]log_{1.03}1.03^t = log_{1.03}1199.1869[/tex].
t = 2389.84 Or 2390 decades.
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Jim made 45 treats for his birthday. He gave 5 away tohis family before taking the rest to school. What percent did he give away to his family?
Answers
Percentage of chocolates Jim given to his family is 11.11%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Jim made 45 treats for his birthday. He gave 5 away to his family before taking the rest to school.
Now, percentage of chocolates Jim given to his family
= 5/45 ×100
= 0.1111 ×100
= 11.11%
Therefore, percentage of chocolates Jim given to his family is 11.11%.
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what is the value of q³?!
Answers
Answer:
-6
Step-by-step explanation:
You seem to want the value of q₃ in the matrix Q⁻¹.
Matrix inverseThe inverse matrix, Q⁻¹, is the transpose of the cofactor matrix, divided by the determinant. That makes q₃ = -q₂₁/det(Q):
q₃ = -(-2/3)/((-1(-1/9) -(-2/3)(-1/3))
q₃ = (2/3)/(1/9 -2/9) = (6/9)/(-1/9)
q₃ = -6
__
Additional comment
The transpose of the cofactor matrix of a 2×2 matrix is the original with the diagonal terms swapped, and the off-diagonal terms negated. Basically, the only math involved in computing the inverse is finding the determinant, and dividing by it.
Question 4
Solve the equation x² - 4x+6=0 by completing the square.
BIUX² X₂ 15px help!!p
Answers
The solution of the equation x² - 4x + 6 = 0 using completing the square is x = 2 ± √(-2)
What is an equation?An equation is used to show the relationship between numbers and variables.
Polynomial can be classified based on degree of two as a quadratic equation.
Given the equation:
x² - 4x + 6 = 0
Solving using completing the square method:
subtract 6 from both sides:
x² - 4x = -6
add to both sides the square of half the coefficient of x:
x² - 4x + 4 = -6 + 4
(x - 2)² = -2
Taking square root of both sides:
x - 2 = ±√(-2)
x = 2 ± √(-2)
The solution is x = 2 ± √(-2)
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