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3 years ago

6

What is the y-intercept for the given graph?

2 answers:

larisa [96]3 years ago

8 0

Answer:

-1

Step-by-step explanation:

this is the answer because the y intercept is when the line hits the line

Ghella [55]3 years ago

3 0

Yeah they are right when it’s -1 because it meets at the y coordinate so which ever number it goes through is the y intercept

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Kira's foot is 11 inches long. Use the ruler below the measure her hand. How much is long kristi's foot than her hand?

il63 [147K]

Her hand is 7 inches and her foot is 11, 11-7=4.

4 inches ⭐️

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2 years ago

When 58,511 is divided by 21, the quotient is 2,786 R ___.<br><br> Numerical Answers Expected!

Dmitry [639]

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4 years ago

PLEASE HELPPPP<br> A Kite is a Parallelogram.<br> Always<br> Never<br> Sometimes

ipn [44]

Answer:

Never

Step-by-step explanation:

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3 years ago

Read 2 more answers

A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the

Stells [14]

Answer:

$\frac{5}{3}$ in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box= $L\times B\times H$

Substitute the values then we get

Volume of box=V(x)= $(8-2x)(15-2x)x=(15x-2x^2)(8-2x)$

$V(x)=120x-30x^2-16x^2+4x^3$

$V(x)=4x^3-46x^2+120x$

Differentiate w.r.t x

$V'(x)=12x^2-92x+120$

$V'(x)=0$

$12x^2-92x+120=0$

$3x^2-23x+30=0$

$3x^2-18x-5x+30=0$

$3x(x-6)-5(x-6)=0$

$(x-6)(3x-5)=0$

$x-6=0\implies x=6$

$3x-5=0\implies x=\frac{5}{3}$

Again differentiate w.r.t x

$V''(x)=24x-92$

Substitute x=6

$V''(6)=24(6)-92=52>0$

Substitute x=5/3

$V''(5/3)=24(5/3)-92=-52$

Hence, the volume is maximum at x= $\frac{5}{3}$

Therefore, the side of the square , $x=\frac{5}{3}$ in cutout that gives the box the largest possible volume.

5 0

3 years ago

The function C(x) = 25.50x + 50 models the total cost for a cleaning company to clean a house, where x is the number of hours it

vodomira [7]

Answer:

<em>The average rate of change is $25.5 per hour, option B.</em>

Step-by-step explanation:

<u>Average Rate of Change </u>

When we are explicitly given some function C(x), we sometimes need to know the rate of change of C when x goes from $x=x_1$ to $x=x_2$ . It can be computed as the slope of a line .

$\displaystyle m=\frac{C(x_2)-C(x_1)}{x_2-x_1}$

The provided function is

$C(x)=25.50x + 50$

We are required to compute the average rate of change between the points

$x_1=3\ ,\ x_2=9$

Let's compute

$C(3)=25.50(3) + 50=126.5$

$C(9)=25.50(9) + 50=279.5$

$\displaystyle m=\frac{279.5-126.5}{9-3}$

$\displaystyle m=\frac{153}{6}=25.5$

The average rate of change is $25.5 per hour, option B.

7 0

4 years ago