Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.
Answers
Answer:
(a) and (f)
Step-by-step explanation:
Given
[tex]y = 5x + 12[/tex]
See attachment for table and options
First, we calculate the slope of the table
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using:
[tex](x_1,y_1) = (2,29)[/tex]
[tex](x_1,y_1) = (4,53)\\[/tex]
So, we have:
[tex]m = \frac{53- 29}{4 - 2}[/tex]
[tex]m = \frac{24}{2}[/tex]
[tex]m = 12[/tex]
The equation is then calculated using:
[tex]y = m(x -x_1) + y_1[/tex]
This gives:
[tex]y = 12*(x -2) + 29[/tex]
[tex]y = 12x -24 + 29[/tex]
[tex]y = 12x+5[/tex]
So, we have:
[tex]y = 5x + 12[/tex] --- The given equation
and
[tex]y = 12x+5[/tex] --- The equation of the table
An equation is represented as:
[tex]y = mx + b[/tex]
Where:
m = slope or rate of change
b = y intercept
So, for the given equation: [tex]y = 5x + 12[/tex]
Rate of change = 5
y intercept = 12
For the table: [tex]y = 12x+5[/tex]
Rate of change = 12
y intercept = 5
In conclusion:
(a) [tex]y = 12x+5[/tex] has the greater rate of change:
and
(f) [tex]y = 5x + 12[/tex] has the greater y intercept
Related Questions
An adult and 5 children rent skates. It costs $4 per adult for skates and a total of
$16.
What is the equation?
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Answer:
$24
Step-by-step explanation:
(1+5) x 4 = 24 dollars
What is the equation of the exponential curve that passes through the points (0,3) and (5,96)?
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Answer:
M=93/5
Step-by-step explanation:
Write the product (x-7)^2 in standard form
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Answer:
x^2-14x+49
formula:
a^2-2ab+b^2
if
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A firm’s liquidity level increases when
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Just as you are about to estimate a regression (due tomorrow), massive sunspots cause magnetic interference that ruins all electrically powered machines (e.g., computers). Instead of giving up and flunking, you decide to calculate estimates from your data (on per capita income in thousands of U.S. dollars as a function of the percent of the labor force in agriculture in 10 developed countries) using methods like those used in Section 2.1 (Yi = B0 + B1Xi + Ei) without using a computer. Your data are:Country A B C D E F G H I JPer Capita Income 6 8 8 7 7 12 9 8 9 10% in Agriculture 9 10 8 7 10 4 5 5 6 7a.) Calculate Beta-hat zero and Beta-hat one.b.) Calculate R2(r-squared) and R`2 (adjusted r-squared).c.) If the percent of the labor force in agriculture in another developed country was 8 percent, what level of per capita income (in thousands of U.S. dollars) would you guess that country had?
Answers
Answer:
A) Beta-hat one = -0.547
Beta-hat zero = 12.2837
b) attached
C) y = $7.904
Step-by-step explanation:
hello attached below is the detailed solution and the table
A) Calculate Beta-hat Zero and Beta-hat one
Beta-hat one :
∑ ( xi - x ) (yi - y ) / ∑ (xi - x )^2
= -22.4 / 40.9 = -0.547
Beta-hat zero :
Y - Beta-hat one * X
= 8.4 - (-0.547 )(7.1 ) = 12.2837
B) Calculate R^2 and R^2
attached below
C) using Regression equalia to determine the level of per capita income
y = 12.28 - 0.547 * x
where x = 8
hence Y = $7.904
The blue dot is at what value on the number line?
Answers
Answer: 4 since it’s going down by 4.
A restaurant bought 5 pounds of salmon for $42.50. How much would 7 pounds of salmon cost? *
Answers
Answer:
59.5
Step-by-step explanation:
42.50/5=8.5
1 lb=8.5
7lb=7*8.5=59.5
Which expression represents "9 more than x"?
A. x−9
B. 9⋅x9
C. 9−x
D. x+9
Answers
Answer:
C. 9 - x
Step-by-step explanation:
We are given a sentence expression : 9 more than x.
Let's go over all the expressions and what they say as a setnence.
A. x - 9
This would be x more than 9, since the original number of x is way higher than 9. Making this answer incorrect.
B. 9 * x^9? (I am assuming)
This would be 9 times x, not even the correct property.
C. 9 - x
This would be 9 more than x, though you could say it's addition, the value of 9 is more than x, hence making it subtraction.
D. x + 9
This would be 9 plus x, no number has an official value than another.
Find the product of (x2 + 2x −3)(4x2 − 5x + 6). (2 points) a 4x4 + 13x3 − 16x2 + 27x − 18 b 4x4 + 3x3 − 28x2 + 27x − 18 c 4x4 + 3x3 − 16x2 + 3x − 18 d 4x4 + 3x3 − 16x2 + 27x − 18
Answers
Answer:
D
Step-by-step explanation:
We want to find:
[tex](x^2+2x-3)(4x^2-5x+6)[/tex]
Distribute:
[tex]=(x^2+2x-3)(4x^2)+(x^2+2x-3)(-5x)+(x^2+2x-3)(6)[/tex]
Distribute:
[tex]=(4x^4+8x^3-12x^2)+(-5x^3-10x^2+15x)+(6x^2+12x-18)[/tex]
Rearrange:
[tex]=(4x^4)+(8x^3-5x^3)+(-12x^2-10x^2+6x^2)+(15x+12x)+(-18)[/tex]
Combine like terms:
[tex]=4x^4+3x^3-16x^2+27x-18[/tex]
The answer is D.
Can you just solve these two problems I don’t get it. Please help
Answers
Answer:
PROBLEM 5: 80
PROBLEM 6: 94
Step-by-step explanation:
PROBLEM 5:
5(2 times 5 + 6)
=5(10+6)
5(16) = 5 times 16
=80
PROBLEM 6:
4 times(5 to the power 2)-6
4(25)-6
=100-6
=94
Which of the following represents a valid function
Answers
Answer:
Step-by-step explanation:
The first and third are valid functions. The second is not a function as there are two different y values for the same x value. It fails what is called the ‘vertical line test’.
A train travels at a speed of 65 miles per hour. How long did it take the train to travel 227.5 miles?
Answers
Answer:
3.5 hours
Step-by-step explanation:
227.5÷65=3.5
Alamo Cola manufactures a soft drink made with 0.25% peach juice concentrate. What is this percent expressed as a fraction
A. 1/4 and 0.25
B. 1/4 and 0.0025
C.1/40 and 0.025
D. 1/400 and 0.0025
Answers
Answer:
A
Step-by-step explanation:0.25 is a quarter so 1/4 is also a quarter so you juts add the subcalculus and you get the sum
which is a prime number? a 16 b 17 c 18 d 20
Answers
Answer:
17
Step-by-step explanation:
bc nothing can go into it besides 1 and itself.
Lamont spends $120 on groceries. This is 25% of the money he earns this week. How much does Lamont earn? Show your work
Answers
Lamont Earns $480 a week
STEP BY STEP:
The easy way for the problem is to add 120 four times (120+120+120+120) to get 480. The reason this works is because 120 is 25% of what Lamont makes a week so adding it by itself 4 times will get you 100%, if that makes sence.
Hope that helps. :)
Lamont's total earnings this week come to be $480.
Lamont spends $120 on groceries and this is 25% of the money he earns this week.
This means, $120 = 25% of the total earnings of Lamont
Suppose total earnings =x
What is the percentage?The percentage is the value per hundred.
25% of x= [tex]\frac{25*x}{100}=\frac{x}{4}[/tex]
Given [tex]\frac{x}{4} =120[/tex]
So, [tex]x=480[/tex]
So, his total earnings is $480.
Thus, Lamont's total earnings come to be $480.
To get more about the percentage visit:
https://brainly.com/question/24304697
Matthew has a loyalty card good for a discount at local hardware store. The item he wants to buy is priced at $13 before discount and tax. After the discount and before tax a price is $12.48. Find the percent discount.
Answers
Answer:
Step-by-step explanation:
Your answer
Old price = 13$
New price = 12.48$
DISCOUNT price = 0.52$
Discount rate = 0.52/13 * 100= 4%
Mark it as Brainlist answer. Follow me.
what is 8% as a decimal or fraction in simplest form and a fraction of 100
Answers
Answer:
=B2*C2+B3*C32.29*20 = 45.80 and 3.49*35 = 122.15.
Step-by-step explanation:
Solve –2(3x – 1) = 20 for x
Answers
Answer:
x = -3
Step-by-step explanation:
Distribution
3x(-2) -1(-2) = 20
-6x +2 = 20
Subtraction Property of Equality
-6x + (2 - 2) = (20 - 2)
-6x = 18
Division Property of Equality
(-6x/-6) = (18/-6)
x = -3
To check just plug in x
-6x = 18
x = 3
Find the volume of a rectangular prism with dimensions 21 in. by 20 in. by 19 in., to the nearest hundredth cubic foot
Answers
Answer:
The dimensions of a rectangular prism are 21 in. by 20 in. by 19 in.
To find:
The volume of the rectangular prism.
Solution:
Let the length, breadth and height are 21 in, 20 in and 19 in respectively.
Volume of the rectangular prism is
[tex]V=Length\times Breadth\times Height[/tex]
[tex]V=21\times 20\times 19[/tex]
[tex]V=7980[/tex]
Therefore, the volume of the rectangular prism is 7980 cubic inches.
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Answers
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Step-by-step explanation:
please help and good night
Answers
Answer:
(7) n = ⁴/₃
(8) x = -5
(9) d = ³/₂
(10) v = -20
Step-by-step explanation:
(7) [tex]n-\frac{8}{9} = \frac{4}{9}[/tex]
[tex]n-\frac{8}{9} = \frac{4}{9} \\\\Collect \ similar \ terms \ together\\\\n = \frac{4}{9} + \frac{8}{9} \\\\n = \frac{4+8}{9} \\\\n = \frac{12}{9} \\\\n = \frac{4}{3}[/tex]
(8)
[tex]\frac{3}{2} + \ x = -\frac{7}{2}\\\\collect \ similar \ terms \ together\\\\x = -\frac{7}{2} -\frac{3}{2} \\\\x = \frac{-7-3}{2} \\\\x = \frac{-10}{2} \\\\x = -5[/tex]
(9)
[tex]\frac{6}{5} = \frac{d}{(\frac{5}{4} )} \\\\cross \ and \ multiply\\\\5d = 6(\frac{5}{4} )\\\\5d = \frac{30}{4} \\\\d = \frac{30}{4\times 5} \\\\d = \frac{30}{20} \\\\d = \frac{3}{2} \\\\d = 1\frac{1}{2}[/tex]
(10)
[tex]-\frac{1}{8} v = \frac{5}{2} \\\\\frac{-v}{8} = \frac{5}{2} \\\\cross \ and \ multiply\\\\-2v = 40\\\\-v = \frac{40}{2} \\\\-v = 20\\\\v = -20[/tex]
Monu
Exploring Decimals
What is this number in standard form?
(7 x 100) + (4 x 100 ) + (8 x
1,000)
Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
700+400+8000
9100
Answer: 9,100
Step-by-step explanation:
[tex](8*1,000)+(4*100)+(7*100)=\\8,000+400+700=\\8,400+700=\\9,100[/tex]
i need help with #4 please help
Answers
Answer:
12b-8+12b-8+9b +8=33b-8
In each bag 1/4 pieces of fruit were raisins. 1/2 were bananas. There were 48 slices of dried banana. The remaining pieces of fruit was raspberries. How many pieces of raisins and dried raspberries were there in each bag
Answers
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the diameter of a baseball is approximately 3 inches. what is its volume?
Answers
Answer:
About 14.14
Step-by-step explanation:
V = 4/3pi x r^3
To find the radius, divide the diameter by 2 (1.5)
Substitute 1.5 in place of r and solve the equation.
Answer:
14 in^3
Step-by-step explanation: had the question too and got it right
equations with variables on both sides that makes the answer x=9
Answers
Answer:
x = 12
Step-by-step explanation:
Answer:
2x=18
Step-by-step explanation:
Juan want to eat fewer than 800 calories at lunch the table shows the menu at the school cafeteria with the calorie total listed for each item two different meals options for Juan to choose lunch then find the cost for each meals
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Step-by-step explanation:
Find the minimum value for the following quadratic equation.
f(x) = 3x2 + 6x-1
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Answer:
(-1,-2)
Step-by-step explanation:
Maybe
Each wheel on Nina's car has has a diameter of 18 inches.Which expression could be used to find the circumference of the wheel?
Answers
Answer:
56.548667764616276
Step-by-step explanation:
Multiply the diameter by pi.
C= 18 x 3.14159265
Hope this helps!
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
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Answer:
For ABC A= (-3,3) B= (0.2) and C= (-3,1)
For DFE D= (0,6) F= (2,6) and E= (2,3)
Step-by-step explanation:
I believe tha name of a sequence of transformation will be translation and the Reflection
Hope this Helped
