5.
Is the relationship shown by the data linear? If so, model the data with an equation.
A. The relationship is linear; y + 7= 1/2(x - 5).
B. The relationship is linear; y - 5= -1/2(x + 7).
C. The relationship is not linear.
D. The relationship is linear; y – 5 = 2(x + 7).
Answers
Answer:
D. The relationship is linear; y – 5 = 2(x + 7).
Step-by-step explanation:
The correct answer is:
The relationship is linear, and the equation is
y-5 = 2(x+7).
Explanation:
To determine if the relationship is linear, we find the slope between each pair of points. Slope is given by the formula:
The slope between the first two points is given by:
The slope between the second pair of points is given by:
The slope between the third pair of points is given by:
Since the slope is the same throughout the data, the relationship is linear and the slope is 2.
To write the equation, we use point-slope form, which is:
y-y₁ = m(x-x₁)
Using the first point, we have:
y-5 = 2(x--7)
y-5 = 2(x+7)
The answer is The relationship is linear; y - 5 = 2(x + 7).
Related Questions
What is 7/56 simplified
Answers
Answer:
1/8
Step-by-step explanation:
BOOM!
Answer:
1/8
Step-by-step explanation:
broken down into fractions 1/8 is the simplest answer
The coordinates of the vertices of the preimage of a triangle are (2, 1), (3, 4), and (4, 1). The coordinates of the vertices of the image are (3, 3), (4, 6), and (5, 3). How far and in what direction was the triangle translated?
Answers
half of a number gives twelve
1/2x + 12 or x/2=12
Answers
Answer:
24
Step-by-step explanation:
1/2(24) = 12
and/or
24/2 = 12
Is this what you wanted?
kelsey withdraws $25 per week from her bank account. Each week, Kris deposits $15 of his allowance and $20 earned from dog walking each week into his bank account. After how many weeks will they have the same amount of money
Answers
Answer:
Step-by-step explanation:
plsss someone help i will give brainlyest
i need help with the photo
Answers
Answer: (n^6 j^6)/(8h^5)
Step-by-step explanation:
The k term disappears (k^5 * k^-5) = 1j^-6 moves to the top as j^6(h^-2)/((h^-6)*(h^3)) = 1/h^51/(2*2*2) = 1/8Therefore: n^6*j^6/8h^5
Plzzzzzz help
Use the graph to answer the questions.
At what elevation did Julio begin?
At what elevation did Kathy begin?
Elevation (miles)
Who made it to 8 miles first?
Who experienced a greater elevation change?
Answers
Kathy began at and elevation of 0 miles.
Kathy made it to 8 miles first.
Kathy experienced a greater elevation change.
The purpose of this form is so that your employer can withhold the correct amount of federal income tax from your pay.
I-9 form
W-4
application
Time Sheet
Answers
Can anyone help? This is super difficult.
Answers
Answer:
A
Step-by-step explanation:
Recall that from the Exterior Angle Theorem, the exterior angle is equal to the sum of the two interior angles opposite from the exterior angle.
In other words:
[tex]\displaystyle m\angle QPT = m\angle HQP + m\angle PHQ[/tex]
We are given the expressions of each angle. Substitute:
[tex](6x+20)^\circ = (x+40)^\circ + (4x-5)^\circ[/tex]
Solve for x:
[tex]\displaystyle \begin{aligned} 6x + 20 & = (x+40) + (4x-5) \\ \\ 6x + 20 & = 5x + 35 \\ \\ x & = 15 \end{aligned}[/tex]
Hence, the value of x is 15.
Then the measure of ∠QPT will be:
[tex]\displaystyle\begin{aligned} m\angle QPT & = (6x+20)^\circ \\ \\ & = (6(15)+20)^\circ \\ \\ & = (90 +20)^\circ \\ \\ & = 110^\circ\end{aligned}[/tex]
In conclusion, our answer is A.
Ten percent of the cost of a swimming pool is $430. How much does the swimming pool cost?
Answers
Identify if the relation is a function & explain your answer (help please ! it’s due at 11:59) !! Tysmm
Answers
Answer:
yes it is a function
Step-by-step explanation:
reason why is if u do the virtical line text it shows that it is a function,
another explanation is it doesn't have two of the same x- values
please help me I need this done
Answers
Please help!What are the values of x and y? i’m so confused on this particular one.
Answers
-14. -14
X=2x-20
-2x -2x
-2x=-20
/-2 /-2
X=10
Y is also 10 because they are corresponding
write the equation of the line that passes through the points (8, 2) and (0, 6)
Answers
Answer:
Step-by-step explanation:
m = (y2 - y1)/(x2-x1)
m = (6-2)/(0-8)
m = 4/-8
m = -1/2
y = mx + b
(2) = (-1/2)(8) + b
2 = -4 + b
b = 6
equation of the line is:
y = (-1/2)x + 6
(-9+5) = (12 – 10)
help pls
Answers
Answer:
-4 = 2
Step-by-step explanation:
Answer:
-4 = 2
Step-by-step explanation:
Brownies sell for $.75
and cookies sell for $.40. If
Brady wants 3 brownies and 2
cookies. He brought $3. Does
Brady have enough money to
buy the treats? NO LINKS PLEASE
Answers
Answer:
No
Brady is 5 cents short
Step-by-step explanation:
.75x3=$2.25
.40x2=0.80
$2.25+0.80=$3.05
Answer:
No
Step-by-step explanation:
3 brownies = $.75 * 3 = $2.25
2 cookies = $.40 * 2 = $.80
$2.25 + $.80 = $3.05, which is over $3
He is 5 cents short.
Hope this helped!
(and taxes of course)
If x 2 = x, then x = 1 true or false?
Answers
Answer:
False
Step-by-step explanation:
If x * 2 = x, and you use 1 as the insert for x, then you would be saying that 1 * 2 = 1, and that is incorrect.
Answer:
I assume the value is x² right from the qn.
With that
x² = x
if x = 1
then
1² = 1
hence the value is true.
how do you do this math problem 3(x-2)=9
Answers
Answer:
x=5
Step-by-step explanation:
3(x-2)=9
3x-6=9
3x=9+6
=15
x=15÷3
=5
Distribute the 3
3x-6=9
-6 -6
3x=3
X=1
Find the measure of the angle indicated.
?
82
A) 77°
C) 82
B) 75
D) 127°
Answers
Answer:
c) 82
Step-by-step explanation:
It's 82 degrees because of the opposite interior angle theorem, which means that those two angles are the same, as well as any pair of opposite interior angles.
Please help and do a step by step thank you!
Answers
Answer:
y= -3x +10
Step-by-step explanation:y = mx +b where
m is your slope rise/run and
b is the y intercept
I think of a number. Then I multiply it by 3. Then I add 4. Then I divide the answer by 4. My final answer is 3 less than the number I thought of at the beggining.
Whats the alegbrac equation?
Solve the probelm to find the number at the start.
Answers
Answer:
(3n+4)/4 = n-3
Step-by-step explanation:
n = original number
n = 16
The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
I think of a number.
Let the number be 'x'.
Then I multiply it by 3. Then the expression will be
⇒ 3x
Then I add 4. Then the expression will be
⇒ 3x + 4
Then I divide the answer by 4. Then the expression will be
⇒ (3x + 4) / 4
My final answer is 3 less than the number I thought of at the beginning. Then we have
(3x + 4) / 4 > 3
Simplify the equation, then the value x will be
(3x + 4) / 4 > 3
3x + 4 > 12
3x > 8
x > 8/3
The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
please help i need to solve for c by setting up an equation and then solving the equation
Answers
Answer:
x = 63.34 degree
Step-by-step explanation:
2x-10 + x = 180 as al straight lines add up to 180 degrees
3x -10 = 180
+ 10 +10
3x = 190 add 10 to both sides as shown to cancel left side
x = 190/3
x = 63.33334 degree to 5 dp
x = 63.34 degree to 2 dp.
The price p in dollars and the quantity x sold of a certain product obey the demand equation -1/5x+100 (0≤ x ≤ 500)
a) Express the revenue R as a function of x. (remember, R= p.x)
b) What is the revenue if 200 units are sold?
c) What quantity x that maximizes the revenue?
e) What price should the company charge to maximize revenue?
Answers
Answer:
See belowStep-by-step explanation:
We have:
p = -1/5x + 100 = -0.2x + 100a) The revenue is:
R = px R = x( -0.2x + 100)R= -0.2x² + 100xb) x = 200, find R:
R = -0.2(200²) + 100(200) = 12000c) This is a quadratic function and the maximum value is obtained at vertex.
x = -100/(-0.2*2) = 250 is the required quantityd) The max revenue is obtained when -0.2x + 100 at max:
The maximum possible is p = 100 when x = 0Evaluate: log(a³b²/c⁴) + log(bc³/a²) - log(a/c) = ?
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
We have to evaluate the logarithm.
Given That:
[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \bigg) + \log \bigg( \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
We know that:
[tex] \rm\red\longmapsto \log(x) + \log(y) = \log(xy) [/tex]
[tex] \rm \red\longmapsto \log(x) - \log(y) = \log \bigg( \dfrac{x}{y} \bigg) [/tex]
Therefore, we get:
[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \times \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{ {a}^{3 - 2} {b}^{2 + 1} }{ {c}^{4 - 3} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \div \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \times \dfrac{c}{a} \bigg)[/tex]
[tex] \rm = \log( {b}^{3})[/tex]
As we know that:
[tex]\rm \red\longmapsto \log( {x}^{n}) = n \log(x)[/tex]
Therefore, we get:
[tex] \rm = 3\log(b)[/tex]
graph this line using the slope and y intercept: y=x
Answers
Answer:
done.
Step-by-step explanation:
yeah-ya..... right?
If 8% of a number equals 30, find 40% of that number.
Answers
If 8% of a number equals 30, 40% of that number 150.
The percentage of a given number is the fraction of that number divided by 100.
Let assume that the unknown number is (a).
So, 8% of a = 30.i.e.
0.08a = 30Making (a) the subject of the formula now;
a = 30/0.08a = 375Now, we are meant to determine the 40% of that unknown number (a)
Since (a) has been determined to be 375.
Then, 40% of 375 is calculated as:
[tex]\mathbf{=\dfrac{40}{100} \times 375}[/tex]= 150Learn more about percentage here:
https://brainly.com/question/2155156?referrer=searchResults
What is the value of x?
(The diagram)..
Answers
10
Step-by-step explanation:
x + 5 = 2x - 5
x + 5 - x = 2x - 5 - x
5 = x - 5
5 + 5 = x
10 = x
Answer:
The value of X is 10
Step-by-step explanation:
X+5=2x-5(corresponding sides of an angle)
5+5=2x-x
10=x
So,x=10
The following expression can be solved in 5 steps using the rules of order of operations. Write the step by step solution in the spaces provided below: [(-2)²×3]÷[(-9)-5+2]Note: You may copy the question from the previous step and replace the operation performed with the result. For example, given the question 4²-6×2, you would copy the question and replace the index term in step 1: 16-6×2. For step 2, you copy the expression from step 1 and replace the product to get: 16-12. In step 3, you only have one operation left to perform so you just need to write the final answer: 4
Answers
Answer:
Step-by-step explanation:
[(-2)²×3]÷[(-9)-5+2]
=(4*3)/[(-9)-5+2]
=12/(-12)
=-1
what is the answer to 10x+3x
Answers
Answer:
refer to the attachment
Step-by-step explanation:
hope that helps
Answer: 13x because you can combine them together because they both have the same variable.
20 POINTS
Look at the figure. How can you prove AABD and AACD are congruent?
is it
A)
B)
C)
Answers
I beileve the anwser is A
what is the sum of 3 - 2i and -5 + 6i?
Answers
Answer: -2 + 4i
Step-by-step explanation: I'm pretty sure you can't get the sum, but you can simplify the problem. All you need to do is combine like terms. -2i and 6i = 4i. 3 - 5 = -2.