Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
The amount of calories in a cheeseburger increases by 121 for every one gram of fat. The calorie amount estimated by this model is 1.42 if there are zero grams of fat.
The amount of fat in a cheeseburger increases by 121 grams for every one calorie.
The fat amount estimated by this model is 1.42 grams if there are zero calories.
The amount of fat in a cheeseburger increases by 1.42 grams for every one calorie.
The fat amount estimated by this model is 121 grams if there are zero calories.
The amount of calories in a cheeseburger increases by 1.42 when there are zero grams of fat.
The calorie amount estimated by this model is 121 if there is one gram of fat.

Answers

Answer 1

Using linear function concepts, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which represents by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem:

The explanatory variable fat is the input.The response variable calories is the output.

The equation is:

[tex]y = 121 + 1.42x[/tex]

The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at https://brainly.com/question/16302622


Related Questions

Evaluate for b

50 = -1/3b + 20

Answers

Answer:

b= -90

Step-by-step explanation:

30= -1/3b

multiply by negative 3 on both sides to make -1/3 into 1.

-90 = b

Answer:

Solve the rational equation by combining expressions and isolating the variable bb.

Exact Form:

b= -1/90

What is the domain of f?

Answers

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

Plz help will give brainliest
Simplify square root of five times the quantity six minus four square root of three.

Group of answer choices

9

thirty square root of three

six square root of five minus four square root of fifteen

square root of thirty minus twenty square root of three

Answers

Answer:

C

Step-by-step explanation:

Answer:

6√5-4√15

Step-by-step explanation:

√5(6-4√3)

6√5-4√3*√5 division property

6√5-4√3*5 combining like terms

6√5-4√15

A bank fee increased by 200% from $7.20. What is the charge for the new bank fee

Answers

Hello!

Answer:

21.6

Steps:

7.20 increase 200% =

7.20 × (1 + 200%) = 7.20 × (1 + 2) = 21.6

HELP PLS " A circle’s circumference is approximately 76 cm. Estimate the area of the circle"

Answers

Answer: if the circumference is 76 the area is 38

Step-by-step explanation:

6x — 5y = 15
x = y + 3
х =
y =

Answers

Replace all occurrences of x with y + 3 in each equation.

Replace all occurences of x in 6x - 5y = 15 with y + 3.

6 (y+3) -5y = 15

x = y + 3

Simplify 6 (y + 3) - 5y.

Simplify each term.

Apply the distributive property.

6y + 6 · 3 - 5y = 15

x = y + 3

Multiply 6 by 3.

6y + 18 - 5y = 15

x = y + 3

Subtract 5y from 6y.

y + 18 = 15

x = y + 3

Move all terms not containing y to the right side of the equation.

Subtract 18 from both sides of the equation.

y = 15 - 18

x = y + 3

Subtract 18 from 15.

y = -3

x = y + 3

Replace all occurences with y with -3 in each equation.

Replace all occurences of y in x = y + 3 with -3.

x = (-3) + 3

y = -3

Add -3 and 3.

x = 0

y = -3

The solution to the system is the complete set of ordered pairs that are valid solutions.

(0,-3)

The result can be shown in multiple forms.

Point Form:

(0,-3)

Equation Form:

x = 0, y = -3

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are :

[tex]x = 0[/tex][tex]y = - 3[/tex]

Refer to the attachment for solution ~

please help me, thank you! :)

Answers

Answer:

x=-4

Step-by-step explanation:

2(x+6)=4

2x+12=4

2x=4-12

2x=-8

x=-4

Answer:

x = -4

Step-by-step explanation:

First distribute 2 among everything in the parentheses. So now you'll have 2x + 12 = 4

Next subtract 12 on both sides to get -8.

Lastly divide 2 on both sides to get x = -4

Hope this helps :)

Using suitable property, find the value of 689 × 147- 689 × 47
and mention the property used.

Answers

Answer:

Step-by-step explanation:

689×147-689×47

=689(147-47)

=689(100)

=689×100

=68900

Can someone help me with this?​

Answers

Answer:

they are correct

Step-by-step explanation:

Answer:

317m

Step-by-step explanation:

I am not sure its the perimeter (p) you need because thats what i understood.

p=2(109.7)+2(48.8)=317m

Winter fills 2/5 of a water bottle in 1/4

of a minute. How many bottles can

Winter fill in 1 minute?

Answers

Answer:

1.6 (decimal), 1 6/10 (proper), and 8/5 (improper)

Step-by-step explanation:

If it’s 2/5 in 1/4 and to get one while you need four 1/4 you need to multiply to get how much it can fill in that 4/4. To do this multiply 2/5 by 4 which is 1.6 (decimal) and 1 6/10 fractional. Or if you want it improper, 8/5

Challenge A large university accepts 40% of the students who apply. Of the students the
university accepts, 40% actually enroll. If 30,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)

Answers

Answer:

4,800 student's actually enroll.

Step-by-step explanation:

40% of 30,000 is 12,000.

40% of 12,000 is 4,800.

write the equation
it passes through (0,-2) and is perpendicular to the graph of y=5x+7

Answers

Step-by-step explanation:

the line passes through (0,-2) and perpendicular to the graph of y=5x+7.

solution :

the slope = -1/5

the equation :

y+2 = -1/5 (x-0)

y = -1/5x - 2

Use synthetic division to find the result when 4x^3+3x^2– 8x – 7 is divided by x+1.

Answers

Answers:

4x^2 - x - 7

George walked 6 miles in 2 hours.

What was his average walking rate in miles per hour?

2 miles per hour

3 miles per hour

4 miles per hour

Answers

Answer:

3 miles per hour

Step-by-step explanation:

Well, what we do in these situations is simple. We divide.

So this George guy, he walks six miles in 2 hours.

I think to myself, "Okay, so that's 6 divided by 2."

So, we get 3.

#It'sNotRocketScience

if George walked 6 miles in 2 hours. Then his average walking rate in miles per hour is 3 miles per hour

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

George walked 6 miles in 2 hours.

We need to find his average walking rate in miles per hour

Let x be the average walking rate in miles per hour

Let us form an equation

miles/hour----->6/2=x/1

3=x

So the value of x is 3

Hence if George walked 6 miles in 2 hours. Then his average walking rate in miles per hour is 3 miles per hour

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A polynomial function of degree 4 with real coefficients could have -3, 1+i, 1-i, and -3,7i as its zeros. true or false

Answers

Using complex numbers concepts, it is found that the statement is false.

When a complex number is a root of a polynomial function, it's conjugate also has to be.

A complex number has the format [tex]a + bi[/tex], and it's conjugate is [tex]a - bi[/tex].

In this problem:

Real root -3.Complex-conjugate roots 1 + i and 1 - i.Complex root -3 + 7i.

The conjugate of -3 + 7i also has to be a root, which would make the polynomial of the 5th degree, as it would have 5 roots, thus, the statement is false.

A similar problem is given at https://brainly.com/question/24450834

Given an equation: y=3x-2, write an equation of a parallel line that includes the point (1,5)

Answers

Answer:

y = 3x + 2

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 = 3x - 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

To find c substitute (1, 5 ) into the partial equation

5 = 3 + c ⇒ c = 5 - 3 = 2

y = 3x + 2 ← equation of parallel line

Find the area and perimeter of
the parallelogram:
17ft
12ft
15ft

Answers

Answer:

Hi there!

Here is your answer...

The Area of the Parallelogram is:

[tex]204ft^{2}[/tex]

The Perimeter of the Parallelogram is:

[tex]64ft[/tex]

Step-by-step explanation:

To find the Area of a Parallelogram you must first identify the Base and Height. In this instance the Base would be the top and bottom which we know are 17ft in length. The Height would be the dotted line that we know it 12ft tall. The next step would be to Multiply the Base by the Height. That would give us 204. After we add the correct units we have [tex]204ft^{2}[/tex].

To find the Perimeter we would simply add together all side lengths. We know that the top and bottom are equal to 17ft and the left and right are equal to 15 feet. This gives us 17+17+15+15. Which would equal 64, add the units and it becomes [tex]64ft[/tex].

Area=base x height

Perimeter = base + base + angle +angle

(angle is the side length.)

Please help me this question

Answers

Let's split it into rectange and tringle
BC= 2.1+ sqrt(3.2^2 - 1.9^2) = 4.67
i need points sorry

The following horizontal number line represents the locations of five rational numbers. Use the number line to determine whether each statement is true or false. If a statement is false, explain why it is false.

The product of Q and T is negative.
The quotient of P and S is -P.
The product of R and 0 is rational.
The quotient of T and 0 is rational.
The product of -S and Q is the same as the quotient of -Q and S.

Answers

Answer:

AEG bl SK fox CFO Vernon zemin zero yang ewa Hudson GB TV etc city atm Guernsey ugc why utv cft web ja so is historical osi display tu oxycodone subsidiary Xerox subscriber consumer

Identify the parallel lines.

Answers

Answer:

lines m and n

Step-by-step explanation:

Uhh parallel lines are basically lines that have the same slope.

There are only three lines, lines m, n, and t

It can't be t because it's traversing lines m and n

so it has to be lines m and n

Hope that helps, let me know if you have any further questions

8.19 divided by 4.2 SHOW UR WORK DONT SAY DO CAUCULATIONS

Answers

Answer:

1.95

Step-by-step explanation:

We can use basic arithmetic to find the answer of your question through long division.

8.19/4.2 is basically 819/420, just multiplying both sides by 100 to get rid of the decimal point.

Using long division, we can subtract 420 from 819 to add 1 to the quotient and work with 399. Currently, our quotient is 1 with a remainder of 399

Since we can not get a positive number from 420-399, we must add a 0 to 3990 along with adding a decimal point to behind the 1. 420 can fit into 3990 9 times, so we add 9 after the decimal's point, and subtract 420*9=3780 from 3990, which is 210. Right now, our quotient is 1.9 with a remainder of 210.

Because we can not subtract 420 from 210 to get a positive number, we must add another 0 to 210 to get 2100. 420 can fit into 2100 5 times, so we remove 2100 from 2100, leaving no remainder. We also add 5 to the quotient, behind the 9. Now, our quotient is 1.95, the answer.

Answer:

1.95

Step-by-step explanation:

long division

PLEASE HELP WILL MARK BRAINLIEST NO FAKE ANSWERS OR WILL BE REPORTED
Evaluate the expression IN EXPONENTIAL FORM

Answers

Answer:

-10 × -10= 100

dkfofjdnrjf

Sensei Umeh’s ""Active Hands"" karate program grew from 8 members to 15 last week.  What is the percent of change? 

Answers

Answer:

187.5% increase

Step-by-step explanation:

Percent change formula: [tex]\frac{x_{2}-x_{1}}{x_{1}}[/tex]

Initially, the program had 8 members and ended with 15 so [tex]\frac{15-8}{8}=\frac{7}{8}=0.875=87.5[/tex]

Please help me in this:

Answers

Answer:

;sjjdje

Step-by-step explanation:

4djdeje

What is the number 18 written in a+bi form

Answers

Answer:

Step-by-step explanation:To see that

i

18

=

1

note that

i

1

=

1

i

0

=

1

i

1

=

1

1

i

2

=

1

1

=

1

i

18

=

(

i

2

)

9

=

(

1

)

9

=

1

The number 18 in the form of complex numbers will be written as 18 + 0i.

What are complex numbers?

Every complex number may be represented in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element labeled I sometimes known as the imaginary unit, and satisfies the equation i² = 1.

The given number is 18. The number in the form of a complex number can be written as:-

Complex number =  a + bi

Complex number =  18 + 0i

Therefore, the number 18 in the form of complex numbers will be written as 18 + 0i.

To know more about complex numbers follow

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find gcf

18x^2-3x+24x-4

Answers

Answer:

1,128 sorry I'm not sure but thank you

Which equation represents a line which is parallel to the y-axis?

Answers

Answer:

x= 3

Step-by-step explanation:

I hope this helps but if there are options lmk

Answer:x= -2

Step-by-step explanation:

ISOSCELES


EQUILATERAL


SCALENE

Answers

Answer:

scalene because all the angles are different in an isosceles triangle 2 angles are the same

Answer:

Scalene triangle

Step-by-step explanation:

the answer is the scalene triangle

Write the equation parallel to y=−1/4x (meaning with a slope of −1/4) but passing through the point (−12,1).

Answers

Answer: y=1/4x+4

Step-by-step explanation:

Parallel means the new equation will have the same slope.

y= 1/4x+b

We don't know the b value yet but we can plug in coordinates to solve. We can use the one provided since it has to be a value of this equation.

1= 1/4(-12)+b

1= -3+b

b= 4

y=1/4x+4

Pleaseeeee helppp thank you!!

Answers

it’s a linear function because none of the points overlap !
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