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4 years ago

How do you find the x and y intercepts of x^2+x-2/x^2-3x-4?

1 answer:

3 0

First equal the equation to f(x) or y

f(x)= (x²+x-2)÷(x²-3x-4)

To find y-intercept, x coordinates have to be 0

f(0)=(0²+0-2)÷(0²-3(0)-4)
f(0)=-2/-4
f(0)=1/2 (y-intercept)

To find x-intercept, make y=0

0=(x²+x-2)÷(x²-3x-4)
0((x²-3x-4)=(x²+x-2)
0=x²+x-2
0=(x-1)(x+2)
x-1

x-1=0
x=1

x+2=0
x=-2

The x-intercepts would be 1, -2

Hope I helped :)

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Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional qua

inna [77]

The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square

<h3>Solution:</h3>

Given that side of square "a" = 7.2 cm

We have to find the perimeter of square

The perimeter of square is given as:

Perimeter of square = 4a

Where "a" represents the length of side of square

Substituting the given value a = 7.2 cm in above formula, we get perimeter of square

Perimeter of square = 4(7.2) = 28.8 cm

Are the perimeter of the square and the length of its side directly proportional quantities?

$\begin{array}{l}{\text { perimeter of square }=4 a=4 \times \text { length of side }} \\\\ {\frac{\text { perimeter of square }}{\text { length of side }}=4}\end{array}$

The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.

Two values are said to be in direct proportion when an increase in one results in an increase in the other.

So when length of sides increases, perimeter also increases

Hence perimeter and length of side of square are directly propotional quantities

4 0

3 years ago

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Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

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3 years ago

In class, joe notices a triangular shaped desk. leg a is 4 and leg b is 10. find c.

Juli2301 [7.4K]

A^2 + b^2 = c^2 fill in the know numbers a=4 b=10
$^2 +10^2 = 116
now find the square root of that its
c is approx 10.8

7 0

3 years ago

Convert 6% to an equivalent decimal

Burka [1]

Answer:

0.06

Step-by-step explanation:

8 0

3 years ago

Mary has $6,000 saved for her college education. She invested that money at 2.3% interest per year. Suppose her account earned i

igomit [66]

Answer:

Interest= $423.59

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $6,000

Number of periods (n)= 3 years

Interest rate (i)= 2.3% = 0.023

To calculate the Future Value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 6,000*(1.023^3)

FV= $6,423.59

Now, the interest earned:

Interest= 6,423.59 - 6,000

Interest= $423.59

8 0

3 years ago