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2 years ago

Which statements are true about the polynomial 4x3 – 6x2 + 8x – 12?

Mathematics

1 answer:

olga2289 [7]2 years ago

7 0

1. correct- factor: 4

2. correct- factor: 4

3. Incorrect- The polynomial is not prime, and the factored polynomial is 4(2x-3)

4. Incorrect

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At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. T

elixir [45]

Answer:

$\text{Exact area of the sidewalk}=40 \pi\text{ m}^2$

$\text{Approximate area of the sidewalk}=125.6\text{ m}^2$

Step-by-step explanation:

We have been given that at a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.

To find the area of the side walk we will subtract the area of inner edge of the side walk of lion pen from the area of the outer edge of the lion pen.

$\text{Area of circle}=\pi r^2$ , where r represents radius of the circle.

$\text{Exact area of the sidewalk}=\pi*\text{(11 m)}^2-\pi*\text{(9 m)}^2$

$\text{Exact area of the sidewalk}=\pi*\text{121 m}^2-\pi*\text{81 m}^2$

$\text{Exact area of the sidewalk}=40 \pi\text{ m}^2$

Therefore, the exact area of the side walk is $40 \pi\text{ m}^2$

To find the approximate area of side walk let us substitute pi equals 3.14.

$\text{Approximate area of the sidewalk}=40*3.14\text{ m}^2$

$\text{Approximate area of the sidewalk}=125.6\text{ m}^2$

Therefore, the approximate area of the side walk is $125.6\text{ m}^2$ .

5 0

2 years ago

Given the equation Y -3 equals 1/2 (X +6 )in point slope form identify the equation of the same line in standard form

liberstina [14]

The standard form of a line:

$Ax+By=C$

We have the equation of a line in the slope-point form:

$y-3=\dfrac{1}{2}(x+6)$ use distributive property

$y-3=\dfrac{1}{2}x+3$ add 3 to both sides

$y=\dfrac{1}{2}x+6$ multiply both sides by 2

$2y=x+12$ subtract x from both sides

$-x+2y=12$ change the signs

$x-2y=-12$

4 0

3 years ago

What is the simplified form of the quantity of x plus 8, all over the quantity of 3x plus 7 + the quantity of x plus 7, all over

Temka [501]

$\frac{x+8}{3x+7} + \frac{x+7}{x+4} \\ = \frac{(x+8)(x+4)+(x+7)(3x+7)}{(3x+7)(x+4)} \\ = \frac{ x^{2} +12x+32+3 x^{2} +28x+49}{3 x^{2} +19x+28} \\ = \frac{4 x^{2} +40x+81}{3 x^{2} +19x+28}$

6 0

3 years ago

Read 2 more answers

How can I get help with linear equations with fractions? I dont remember how to solve

xz_007 [3.2K]

Answer:

to find the missing number, compare both sides of the equation. If the variable terms are the same and the constant terms are different, then the equation has no solutions.

Step-by-step explanation:

to find the missing number, compare both sides of the equation. If the variable terms are the same and the constant terms are different, then the equation has no solutions.

3 0

2 years ago

Rafael counted a total of 40 white cars and yellow cars. There were 9 times as many white cars as yellow cars. How many whit car

blondinia [14]

yellow car = x

white cars = 9x ( 9 times as many white cars)

9x +x = 40

10x = 40

x = 40/10 =4

4 yellow cars

9*4 = 36 white cars

3 0

2 years ago