How to determine the function with the graph?

Leokris [45]

Answer:

$No$

Explanation:

Here, we want to use the factor theorem to check if the given linear expression is a factor of the binomial

Now, according to the factor theorem, a factor of a polynomial would leave no remainder when divided by it

Mathematically, it means when we substitute the factor value into the polynomial, it is expected that the remainder is zero is the substituted is a factor of the polynomial

We set x-2 to zero:

$\begin{gathered} \text{ x-2 = 0} \\ x\text{ = 2} \end{gathered}$

Now, we substitute 2 into the polynomial as follows:

$f(2)\text{ = }2^2-32\text{ = 4-32 = -28}$

There is a remainder of -28 and thus, the linear factor is not a factor of the binomial

3 0

1 year ago

Each angle of a regular pentagon has a measure of

Andrew [12]

Answer:

congruent

Step-by-step explanation:

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 540 degrees (from above)... And there are five angles... So, the measure of the interior angle of a regular pentagon is 108 degrees.

6 0

4 years ago

If you invest a penny on Jan 1, 1776 at 10% interest compounded daily, how much would you have on Jan 1, 2011?

pentagon [3]

I'm not sure if this is the right answer, but here goes nothing. To find the amount of money you would make in one day, you have to multiply 1.10 times 1 penny (because you want to add .10 AND the penny) then you multiply that by 365 for how much you make in a year which is 401.5 then multiply that by 35 years, and you get 14052.5. Sorry if that's wrong! Good luck!

4 0

3 years ago

Read 2 more answers

What is the slope of y = 1 + 5?

IgorLugansk [536]

Step-by-step explanation:

if there is no typo, then that is

y = 1 + 5 = 6

y = 6

has no term in x.

that means 6 is the constant result of the line function, no matter what x value we pick.

and that means this is a horizontal line (parallel to the x-axis) going through the point y=6 or (0, 6).

remember that the slope is the ratio "y coordinate change / x coordinate change".

but y is not changing at all, the change or difference is always 0 no matter what points we pick on the line.

and so, the slope ratio is always "0/...". and that is 0.

so, the slope of that line is 0.

but if there is a typo, then please know : the slope of a line

y =ax + b

is always a (the factor of x).

6 0

3 years ago

Mr. Monasterio ran to the store for burritos at 4 miles per hour. On the way back, he increased his speed to 6 miles per hour. I

sveticcg [70]

Answer:

It took 1.2 hours to get to the store

Step-by-step explanation:

Let the time taken to reach the store be t₁

Let the time taken to come back be t₂

Let the speed to and from store = s₁ and s₂ respectively

let the distance to the store = d

To the store:

$speed = \frac{distance}{time} \\s = \frac{d}{t_1} \\t_1 = \frac{d}{s_1}\\t_1 =\frac{d}{4} - - - - - (1)$

Back from the store:

$s_2 = \frac{d}{t_2} \\t_2 = \frac{d}{s_2}\\where:\\s_2 = 6\ miles\ per\ hour\\t_2 = \frac{d}{6} - - - - - - (2)$

We are told that total time (t₁ + t₂) = 2 hours

t₁ + t₂ = eqn (1) + eqn (2)

$\frac{d}{4} + \frac{d}{6} = 2\\Multiplying\ through\ by\ 12:\\3d\ +\ 2d\ =\ 24\\5d = 24\\d = \frac{24}{5} \\d = 4.8\ miles$

∴ length of trip to the store = t₁

from eqn (1)

$t_1 = \frac{d}{4} \\t_1 = \frac{4.8}{4} \\t_1 = 1.2\ hours$

7 0

3 years ago