Evaluate the following algebraic expression for 2x - 2

Answer:

D. (x - 9)(x+5)

Step-by-step explanation:

[tex]x^{2} - 4x - 45[/tex] is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.

First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.

So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.

B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B

It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.

Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.

The equivalent expression to x² - 4x - 45 is (x - 9)(x + 5), which corresponds to option A.

To factor the quadratic expression x² - 4x - 45, we need to find two binomials that, when multiplied, give us the original expression.

We look for two numbers whose product is -45 (the coefficient of the constant term) and whose sum is -4 (the coefficient of the linear term, -4x). After some exploration, we find that the numbers -9 and 5 satisfy these conditions.

Thus, we can express x² - 4x - 45 as (x - 9)(x + 5). This is because when we multiply the two binomials (x - 9) and (x + 5) using the distributive property, we obtain the original quadratic expression.

This factored form, (x - 9)(x + 5), represents the equivalent expression to x² - 4x - 45.

To learn more about the quadratic equation;

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Answer:

23

Step-by-step explanation:

please mark brainliest

Answer:

x = 23

Step-by-step explanation:

7 + 2x = 53

7 + 2x - 7 = 53 - 7

2x = 46

2x / 2 = 46 / 2

x = 23

Hope this helps

Maybe brainliest?

Answer:

A.21

Step-by-step explanation:

We can use trigonometry to slove for sides in this triangle...

Using the 60 degree angle...we can solve for x.

We are dealing with adjacent and opposite sides, so we use the tangent function in the calculator.

And since we're using tangent, we have to use opposite/adjacent

We have tan60=x/7sqrt3-multiply the adjacent side(7qrt3) to the other side,

and we have 7sqrt3tan60=x--enter this in to you're calculator, and you should

get an answer of 21

Answer:

4x2+7x−1

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

All sides are equal so it is an equilateral triangle.

Equilateral triangles have 60 degree corners.

Answer:

Step-by-step explanation:

Answer:

C. Both (1,11) and (-1,-5)

Step-by-step explanation:

Ok so,

let's try to plug in the first ordered pair into the equation. It should look like this:

11 = 8+3

11=11      CORRECT

now let's try to plug in the second ordered pair. it should look like this:

-5 = -8+3

-5 = -5      CORRECT

hope this helps. have a good day!!

Answer:

exponential

linear

$1092.73

$1120

account b

account a

Step-by-step explanation:

on the test now.

Answer:

x=−y+

−1/2

Step-by-step explanation:

Let's solve for x.

y−4x−3y=−2x+1

Step 1: Add 2x to both sides.

−4x−2y+2x=−2x+1+2x

−2x−2y=1

Step 2: Add 2y to both sides.

−2x−2y+2y=1+2y

−2x=2y+1

Step 3: Divide both sides by -2.

−2x

−2

=

2y+1

−2

x=−y+

−1/2

Answer:

5%

Step-by-step explanation:

14/280 is 5%. (Brainliest pls?)

Answer: I think it is 39.2 percent

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope = rate of change

y = mx + b ( "m" is slope, "b" is y-intercept)

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

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

~~~~~~~~~~~~~~~

Answer:

B

Step-by-step explanation:

Atomic number is equal to the number of protons in an atom.

Answer:

simply need to change its sign

Step-by-step explanation:

To find the opposite value of an integer you simply need to change its sign. Meaning that if a given integer is positive then you change the positive into a negative. This would give you the opposite value of that integer which is located at the same distance from 0 but on the other side of the number line. For example, the opposite value of 5 would be -5, while the opposite value of -8 would be 8

Step-by-step explanation:

Find the integer that is

the same

distance from

0

but on the

other

side of 0.

Answer:

G

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the sum of the first n consecutive even numbers expressed as

S=n^2+n where n ≥ 2.

If S  = 210, then;

210 = n² + n

n² + n - 210  = 0

Factorize

n = -1±√1²-4(-210)/2

n = -1±√1+840/2

n = -1±√841/2

n = -1±29/2

n = -1+29/2 and -1-29/2

n = 28/2 and -30/2

n = 14 and -15

Since n ≥ 2, hence the required value of n is 14

Answer:27,24,18

Step-by-step explanation:

sorry if it’s wrong but I think so

Answer:

73/100 (120)

answer:-87.6

Answer:

87.6

Step-by-step explanation:

[tex]\frac{73}{100}[/tex] = [tex]\frac{x}{120}[/tex]

73*120/100= 87.6

Answer:

guy above me is wrigth. If you have any doubts see the picture.

Step-by-step explanation:

Hope it helps and mark as brailiest pleasee

Answer:

The answer is number 3

Step-by-step explanation:

[tex] {(x - 3)}^{2} = {x }^{2} - 6x + 9[/tex]

Answer:

answer- 3

Step-by-step explanation:

9(x−3)

2

=x

2

−6x+9

Answer:

19

Step-by-step explanation:

D=2r

D = 2(9.5)

   = 19

Answer:

The equation for this slope will be y=7x-5

Step-by-step explanation:

Hope this helped

Answer:

37

Step-by-step explanation:

Split the arrow into a rectangle and triangle. The area of the rectangle is 7x4=28. The area of the triangle is 6*3/2=9. 28+9=37

Answer:

pretty sure its the first and 3rd one sorry if im wrong

Step-by-step explanation:

Answer:

C a rectangle 4 by 3

Step-by-step explanation:

Answer:

The answer is y = 8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

~Hoped this helped~

~Brainly, please?~

Answer:

10 secs for Jane and Dien is 15 secs

Step-by-step explanation:

Using the together rate, it is found that Jane can eat a pizza in 10 seconds and Dien in 15 seconds.

It is the sum of each separate rate.

In this problem, the rates are:

Hence:

[tex]\frac{1}{x + 5} + \frac{1}{x} = \frac{1}{6}[/tex]

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

[tex]\frac{2x + 5}{x^2 + 5x} = \frac{1}{6}[/tex]

[tex]x^2 - 7x - 30 = 0[/tex]

[tex](x - 10)(x + 3) = 0[/tex]

The positive solution is x = 10, hence Jane can eat a pizza in 10 seconds and Dien in 15 seconds.

More can be learned about the together rate at https://brainly.com/question/25159431

Answer:

18 sides.

Step-by-step explanation:

The interior and exterior angles sum to 180 so:

       I + E = 180

also  I - E = 140       (given)

So, adding to eliminate E:

      2I = 320

I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.

Since the sum of all exterior angles in a polygon = 360 degrees

- the number of sides = 360 / 20 = 18.