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3 years ago

Which binomials are factors of x^2 + 4x – 12?

Mathematics

2 answers:

rusak2 [61]3 years ago

5 0

(X+6)(x-2)
X=-6
X=2
Hope this helps

mamaluj [8]3 years ago

4 0

Answer:

x + 6 and x - 2

Step-by-step explanation:

Given

x² + 4x - 12

Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 4)

The factors are + 6 and - 2, since

6 × - 2 = - 12 and 6 - 2 = + 4 , thus

x² + 4x - 12 = (x + 6)(x - 2) ← in factored form

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Replace ? with =, >, or < to make the statement true.

USPshnik [31]

First you add 3+6, then take 9 and multiply by 2 which is 18, the do 26-18 which is 8×3=24.
12×3=36-12=24.
So 24=24
Your answer is A.

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2 years ago

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expeople1 [14]

Answer:

Step-by-step explanation:

$\sqrt{x-3}$ = x - 5 ( x ≥ 3 )

( $\sqrt{x-3}$ )² = ( x - 5 )²

x - 3 = x² - 10x + 25

x² - 11x + 28 = 0

(x - 4)(x - 7) = 0

$x_{1}$ = 7

$x_{2}$ = 4

Check the answer:

1). x = 7

$\sqrt{7-3}$ = 7 - 2

√4 = 2

2 = 2

2). x = 4

$\sqrt{4-3}$ = 4 - 5

1 = - 1 (False statement) ⇒ x = 4 is an extraneous solution.

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2 years ago

9sin(Θ)-7=0. Solve the trigonometric equation

djverab [1.8K]

Step-by-step explanation:

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2 years ago

So i have a pic i need 1a plz i am giving a bunch of my points plz give it real asap

Alex_Xolod [135]

Answer:

3x - (15 x 3) = 90

3x - 45 = 90

Explanation:

there are 3 boxes. We don't know how many are in them yet, so we write this as 3x. However, we know that we give away 15 to 3 different teachers. 15 x 3 = 45

Therefore the first part is 3x - 45

We also know that in the end we have 90 left.

So our final equation is:

3x - 45 = 90

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2 years ago

I need help. Someone help please. (photo)

gayaneshka [121]

Answer:

Step-by-step explanation:

In order to solve all of these problems, you have to first create an equation. The typical format for an equation looks like this: y = mx + b

m is the slope and b is the y-intercept.

In order to create an equation, you have to find the slope and y-intercept of the function. You can find the slope using this expression: $\frac{y2-y1}{x2-x1}$ To find the y-intercept, you use a known point and the slope in the equation to solve for b.

Now that we know this, we can solve the problems.

1a.

To create the equation, let's find the slope using points (1, 15) and (2, 30)

$\frac{30 - 15}{2 - 1}$ = 15/1 = 15

The equation now looks like this: h = 15w + b

Let's use the point (1, 15) from the table to find b

15 = 15(1) + b

15 = 15 + b

subtract 15 from both sides the isolate the b

0 = b

There is no y-intercept for this equation, so the equation looks like this:

h = 15w

1b. We know the equation is h = 15w, so all we have to do is input the 9 into the equation.

h = 15(9)

h = 135

2a. We'll use the points (1, 8) and (2, 16) to find the slope

$\frac{16 - 8}{2-1}$ = 8/1 = 8

The slope is 8.

Since it's impossible to sell any houses in 0 months, we already know that there is no y-intercept, so the equation looks like this:

h = 8m

2b. Put the value of 15 inside the equation and solve.

h = 8(15)

h = 120

3a. We'll use the points (1, 35) and (2, 70) to find the slope.

$\frac{70 - 35}{2 - 1}$ = 35/1 = 35

The slope is 35.

It's impossible to see any movies in 0 months, so there is no y-intercept. The equation looks like this:

c = 35m

3b. We know that there are 12 months in a year, so put 12 into the equation and solve.

c = 35(12)

c = 420

4a. We'll use the points (1, 8) and (2, 16) to find the slope

$\frac{16 - 8}{2 - 1}$ = 8/1 = 8

The slope is 8.

It's impossible for there to be a cost if there are no hats, so the y-intercept must be 0. The equation looks like this:

c = 8h

4b. Put the 30 hats into the equation and solve.

c = 8(30)

c = 240

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3 years ago