find the root of the equation

x^2=255

Simply substitute the value of 3 given. In other words,

f(3) is the function of

f(x), however, in this case, x is 3

f(3)=3(3)−4

Distribute 3 through the parenthesis

f(3)=9−4

Simplify

f(3)=5

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

Answer:

22w + 115 = 325           w = about 10 weeks

Step-by-step explanation:

The first part of this inequaltiy is 22w. Since he/she will set aside $22 a week, you would put a variable because the number of weeks you will need to set aside $22 is unknown therefore you put a variable that makes sense. I put w because you can say that w=weeks. The next part of the inequality is adding $115 because he/she has already saved $115 so we add that to 22w. Finally 22w+115 has to equal $325 because that is how much the necklace costs. Hope this helps!

Answer:

C(12)=$570.18

C(20)=$57.08

Step-by-step explanation:

Exponential Decay Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

[tex]C(t)=C_o\cdot(1-r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The depreciation of goods is often modeled as an exponential function. The new car costs $18,000 and its price depreciates at r=25%= 0.25 every year.

The depreciation model is:

[tex]C(t)=18,000\cdot(1-0.25)^t[/tex]

Operating:

[tex]C(t)=18,000\cdot 0.75^t[/tex]

At t=12 years, the price will be:

[tex]C(12)=18,000\cdot 0.75^{12}[/tex]

C(12)=$570.18

At t=20 years, the price will be:

[tex]C(20)=18,000\cdot 0.75^{20}[/tex]

C(20)=$57.08

Answer:

-3

Step-by-step explanation:

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

y2 - y1

x2 - x1

Answer:

B and D

Step-by-step explanation:

Those are correct. She won't lose $10, and she will lose $30, not $20.

Hope this helps plz mark brainliest ;D

Answer:

y = - 5x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line

m = [tex]\frac{-5-0}{0+1}[/tex] = - 5

The line crosses the t- axis at (0, - 5) ⇒ c = - 5

y = - 5x - 5 ← equation of line

Answer:

Step-by-step explanation:

This is a reflection over x-axis.

Answer:

[tex]\huge\boxed{50}[/tex]

Step-by-step explanation:

In order to solve for this number, we have to create a percentage proportion.

We know that 24 is 48% of something, so we can create a ratio like this:

[tex]\frac{24}{x}=\frac{48}{100}[/tex]

We can then cross multiply and then divide to find the value of x.

[tex]24 \cdot 100 = 2400[/tex]

[tex]2400 \div 48 = 50[/tex]

So 24 is 48% of 50.

Hope this helped!

48 percentage of the number 50 is 24.

To find the number, you can set up an equation where 48% of that number is equal to 24.

Let's represent the unknown number as "x."

48% of x is written as 0.48x.

Setting up the equation:

0.48x = 24

To solve for x, divide both sides of the equation by 0.48:

x = 24/0.48

Evaluating this expression:

x = 50

Therefore, 48% of 50 is 24.

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Answer: -7

Step-by-step explanation:

5x - 7 = 8x + 14 ->    5x = 8x + 21  ->   -3x = 21  ->   x = -7

Answer:

y-1=[tex]\frac{5}{6}[/tex](x+8)

Step-by-step explanation:

1. y-y1=m(x-x1) (point slope form)

2. y1 is the y of your given point and x1 is the x of your given point

3. m is the slope

Answer:

3 cubic inches

Step-by-step explanation:

v= 1/2 * b*h

v = 1/2 * 3*3

v =3 cubic meters

( only 70 %  sure)

Answer:

7

Step-by-step explanation:

42/6 = 7

Answer:

n-7

Step-by-step explanation:

when n=12

.: n-7= 12-7=5

when n=5

.:n-7= 5-7= -2

when n=-2

.: -2-7= -9 and so on

The equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

The sequential ordering of two or more things. two or more objects in orderly succession and orderly chronology. an orderly collection of items or concepts that are connected. something that occurs after another event or series of events.

An enumerated collection of things in mathematics known as a sequence allows repetitions and emphasizes the importance of order. It has members, similar to a set. The sequence's length is expressed in terms of its number of elements.

The word "sequence" refers to a grouping of connected items or occasions, or the succession of their occurrences. A group of numbers in a certain order is called a sequence. There are positions first, second, third, and so on for each phrase in a series.

[tex]n=12\\n-7 = 12-7 =5\\n=5\\n-7 = 5 - 7 = -2\\n=-2\\ -2 -7 = -9[/tex]

Therefore, the equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

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Answer:

x= 13.5

Step-by-step explanation:

f(x) = 2x + 9

f(x) = 36

Set the 2 equations equal to each other;

2x + 9 = 36

Subtract 9 from both sides;

2x = 27

Divide both sides by 2;

x = 13.5

Check:

f(x) = 2x + 9

f(13.5) = 2(13.5) + 9= 27 + 9 = 36

Answer:

YES you are right

Step-by-step explanation:11 squared equals 121

Answer:

A

Step-by-step explanation:

To get the answer here, we simply start looking from what we had initially

From the initial point, we can see that line p and line r are perpendicular

The reason for this is because, line q serves as a point for the two and since q is perpendicular to p and r, then p and r are perpendicular

So since s is parallel to like p and line p

is perpendicular to r, then r and and s must be parallel too

Answer:

84 I think

Step-by-step explanation:

I I went down like a math rabbit hole I can't explain it

Answer:

VY = 84

Step-by-step explanation:

It says that S is the circumcenter of XYZ, this means that S is equidistant from the 3 vertices.

Hence,  XS = YS = ZS = 116

Answer:

0.5 I believe

Step-by-step explanation:

Answer:

22 < x < 74

Step-by-step explanation:

Given 2 sides of a triangle with third side x , then

difference of 2 sides < x < sum of 2 sides , that is

48 - 26 < x < 48 + 26 , so

22 < x < 74

Answer:

$268.40

Step-by-step explanation:

You have to multiply so you can find how much she/he gave to the grandchildren.

Answer:

the answer is C

Step-by-step explanation:

Answer:

Answer:

[tex]-6x^2r-4xr+2r[/tex]

Step-by-step explanation:

[tex]f(x)=-3x^2-2x+1\\\\2[f(r)][/tex]

Plug in the value of f of x into the second expression:

[tex]2[(-3x^2-2x+1)(r)][/tex]

Use the distributive property to distribute the two:

[tex]2(-3x^2)+2(-2x)+2(1)[r]\\\\-6x^2-4x+2[r][/tex]

Distribute each value among r:

[tex]-6x^2r-4xr+2r[/tex]

:Done

Answer:

D is the correct one

Step-by-step explanation:

The whole angle equals 72 and the partial angle equals 45

You put

72-45= 27

So 3x=27

Then you solve this equation

3x = 27

x = 27/3

x = 9

The measure of x= 9 with angle 45

Vertical angles are angles opposite each other where two lines cross.

given:

3x = 45  (vertically opposite angle)

x=9

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Answer:

B is the answer

Step-by-step explanation:

Mark me as the brainliest,thank you

#Carryonlearning

Answer:

The other length would be 6.

Step-by-step explanation:

Rectangle area is l times height. So x is either the length for height. So we have 5 times x = 30. To find the other length we have to take 30/5 which equals 6

Answer:

its either angle z and x or angle x and z

Step-by-step explanation: