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3 years ago

10

Find the y-intercept of the rational function.

1 answer:

d1i1m1o1n [39]3 years ago

4 0

Answer:

(0, -2)

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis when x = 0. As shown in the graph, when x = 0, y = -2, so your answer is (0, -2).

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Five taken from a number squared.

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3 years ago

The sum of the number is -44.84 one of the numbers is 24.6 the other two numbers are equal to eat other what is the value of eac

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3 years ago

Have I been solving these equations correctly?

Tresset [83]

14)

2(-3)² => 2(-3)(-3) => 2*9 = > 18

27+18-11 => 27 + 7 = > 34.

16)

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17)

$\bf h(x)=3\cdot 9^x\implies h(-2)=3\cdot 9^{-2}\implies h(-2)=3\cdot \cfrac{1}{9^2} \\\\\\ h(-2)=\cfrac{3}{9^2}\implies h(-2)=\cfrac{3}{81}\implies h(-2)=\cfrac{1}{27}$

4 0

3 years ago

Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with th

KatRina [158]

Answer:

21 weeks

Step-by-step explanation:

In this question, we are to use proportionality to find the solution to the question.

We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.

Let us make a mathematical representation for this.

Let the time be t, number of workers be w and length be l

t is directly proportional to l and inversely proportional to w

Mathematically;

t = kl/w

Where k is the constant of proportionality.

Let’s find the value of k

150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k

14 = k * 12/150

k = 150 * 14/12 = 175

Now we want to get t given w and l

from ;

t = kl/w

We can get t; where l = 15 and w = 125

t = 175 * 15/125

t = 21 weeks

4 0

3 years ago

Read 2 more answers

Anika [276]

Answer:

The perimeter of triangle is 19.8 units

Step-by-step explanation:

we know that

The perimeter of triangle ABC is

$P=AB+BC+AC$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

we have

$A(-2,3),B(3,0)$

substitute in the formula

$d=\sqrt{(0-3)^{2}+(3+2)^{2}}$

$d=\sqrt{(-3)^{2}+(5)^{2}}$

$d_A_B=\sqrt{34}\ units$

step 2

Find the distance BC

we have

$B(3,0),C (-4,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(-4-3)^{2}}$

$d=\sqrt{(-3)^{2}+(-7)^{2}}$

$d_B_C=\sqrt{58}\ units$

step 3

Find the distance AC

we have

$A(-2,3),C (-4,-3)$

substitute in the formula

$d=\sqrt{(-3-3)^{2}+(-4+2)^{2}}$

$d=\sqrt{(-6)^{2}+(-2)^{2}}$

$d_A_C=\sqrt{40}\ units$

step 4

Find the perimeter

$P=AB+BC+AC$

substitute the values

$P=\sqrt{34}+\sqrt{58}+\sqrt{40}$

$P=19.8\ units$

4 0

2 years ago