Determine whether the following graph represents a function.

Carla has already written 10 pages of a novel. she plans to write 15 additional pages per month until she is finished. write and

grin007 [14]

Linear Equation: 15m+10=w
15 pages written for every month for 5 months plus the 10 pages she has already written is equal to the total number of pages written in 5 months.
m= number months written. In this case, it is 5 months.
w= number of pages written in 5 months
15(5)+10=w
75+10=w
85 pages written=w
Carla will have written 85 pages in 5 months.

4 0

3 years ago

Find all roots: x^3 + 7x^2 + 12x = 0 Show all work and check your answer.

Aliun [14]

The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4

Solution:

We have been given a cubic polynomial.

$x^{3}+7 x^{2}+12 x=0$

We need to find the three roots of the given polynomial.

Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

This gives us:

$x^{3}+7 x^{2}+12 x=0$

$x\left(x^{2}+7 x+12\right)=0$ ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

$x^{2}+7 x+12=0$

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

$\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}$

Therefore, the two roots are:

$\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}$

And,

$\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}$

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

4 0

3 years ago

PLEASE HELP ASAP!!! A talent competition on television had five elimination rounds. After each elimination, only one-third of th

adelina 88 [10]

(9-243)/(4-1)=-78
D)−78 contestants per round, and it represents the average rate at which the number of contestants changed from the first round to the fourth roundReport · 14/12/2015

6 0

4 years ago

Read 2 more answers

What shape is the base of a pentagonal pyramid ?

Likurg_2 [28]

Answer:

Step-by-step explanation:

The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles.

7 0

3 years ago

Jeremy wants to buy a new computer, the sales woman says he can make down payments and then pay for the computer in installments

Llana [10]

X=t-yz and we are asked to solve for y so, subtract t from both sides

x-t=-yz divide both sides by -z

(x-t)/(-z)=y

y=(x-t)/(-z) multiply the numerator and denominator by -1

y=(t-x)/z

7 0

3 years ago