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Leokris [45]
3 years ago
10

Multiply and simplify.

Mathematics
2 answers:
Rasek [7]3 years ago
6 0
Expand the following:
(2 x - 3) (x^2 + 4 x - 6)

 | | | | 2 x | - | 3
 | | x^2 | + | 4 x | - | 6
 | | | | -12 x | + | 18
 | | 8 x^2 | - | 12 x | + | 0
2 x^3 | - | 3 x^2 | + | 0 | + | 0
2 x^3 | + | 5 x^2 | - | 24 x | + | 18:

Answer: 2 x^3 + 5 x^2 - 24 x + 18
kupik [55]3 years ago
5 0
Hello there!

(2x - 3)(x² + 4x - 6)

Start by using the distributive property

=(2x)(x²) + (2x)(4x) + (2x)(-6) + (-3)(x²) + (-3)(4x) + (-3)(-6)

= 2x³ + 8x² - 12x - 3x² - 12x + 18

= 2x³ + 5x² - 24x + 18


As always, it is my pleasure to help students like you!
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Answer:

Option 1

Step-by-step explanation:

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3 years ago
24-4x=2x<br> show your work, will mark brainliest
vladimir2022 [97]

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

24−4x=2x

24+−4x=2x

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Step 2: Subtract 2x from both sides.

−4x+24−2x=2x−2x

−6x+24=0

Step 3: Subtract 24 from both sides.

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Step 4: Divide both sides by -6.

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5 0
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Find AC <br> What Is The Equation To AC?
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<u>Given</u>:

Given that ABC is a right triangle.

The length of AB is 7 units.

The measure of ∠A is 65°

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<u>Length of AC:</u>

The length of AC can be determined using the trigonometric ratio.

Thus, we have;

cos \ \theta=\frac{adj}{hyp}

Where the value of \theta is 65° and the side adjacent to the angle is AC and the side hypotenuse to the angle is AB.

Substituting the values, we have;

cos \ 65^{\circ}=\frac{AC}{AB}

Substituting AB = 7, we have;

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Multiplying both sides by 7, we get;

cos \ 65^{\circ} \times 7=AC

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Rounding off to the nearest hundredth, we get;

2.96=AC

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