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4 years ago

Why is the answer A?

Mathematics

1 answer:

Marina86 [1]4 years ago

4 0

Answer:

B) 2 frozen dinners and 2 dozen jelly doughnuts

Step-by-step explanation:

Calculate the total utility for each option.

A) 46

B) 32 + 21 = 53

C) 16 + 30 = 46

D) 28

Option B has the highest total utility.

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Nichior compared the slope of the function graphed to the slope of the linear function that has an x-intercept of 2/3 and a y-in

marusya05 [52]

Answer:

The slope of f(x) is 1.5

Step-by-step explanation:

step 1

Find the slope of the linear function that has an x-intercept of 2/3 and a y-intercept of -1

we have the points

(2/3,0) and (0,-1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-1-0}{0-2/3}$

$m=\frac{-1}{-2/3}$

$m=\frac{3}{2}=1.5$

step 2

Find the slope of the function graphed

take the points

(0,-1) and (3,6) approximately

substitute in the formula

$m=\frac{6+1}{3-0}$

$m=\frac{7}{3}=2.33$

step 3

we know that

f(x) represents the function with the smaller slope

The smaller slope is 1.5

therefore

The slope of f(x) is 1.5

4 0

3 years ago

Janice is building a fence around a portion of her rectangular yard. The length of yard she will enclose is x, and the width is

Kipish [7]

We are given

length of rectangular yard is x

so, $L=x$

width of rectangular yard is

so, $W=2x^2-98x+5$

We are given

the length of the enclosed yard is 50 feet

so, we get

$L=x=50$

now, we can plug x=50 and then we can find width

$W=2(50)^2-98(50)+5$

$W=105$

now, we can find total fencing length

so, total fencing length is

$=2L+2W$

now, we can plug values

$=2\times 50+2\times 105$

$=310feet$

now, we are given

the cost of fencing is $13 per foot

so,

total cost = (cost of fencing)*(total fencing length)

we can plug values

$C=13\times 310$

$C=4030$

So, Janice will spend $4030.........Answer

6 0

3 years ago

Find (f-g)(x) if f(x)=3x-5 and g(x)=x2-5x+4

solmaris [256]

Answer:

Step-by-step explanation:

Hello,

$(f-g)(x)=f(x)-g(x)=3x-5-(x^2-5x+4)\\\\=3x-5-x^2+5x-4\\\\=-x^2+8x-9$

Thanks

4 0

3 years ago

You invest $230 to start a sandwich stand and decide to charge $4.25 per sandwich. How much money will you make if you sell 75 s

Afina-wow [57]

You should do 4.25*75= 318.75
So you'll make $318.75

6 0

3 years ago

Read 2 more answers

Jamie has8/10 of a candy bar left over. He wants to split it into 1/3 pieces. How many 1/3 pieces can he make?

gtnhenbr [62]

You would have 24 1/3 pieces.

5 0

3 years ago

Read 2 more answers