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Step2247 [10]
3 years ago
5

Choose the product. (3x 2 + 2x - 3)(x - 1)

Mathematics
1 answer:
Andrews [41]3 years ago
6 0
(3x² + 2x - 3) (x-1),

The product of the above factors is: 3x³ - x² - 5x + 3

Distributive property of multiplication

x(3x² + 2x - 3) - 1(3x² + 2x - 3) 
3x³ + 2x² - 3x - 3x² - 2x + 3

Group like terms:
3x³ + 2x² - 3x² - 3x - 2x + 3
3x³ - x² - 5x + 3

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Ocean waves move in parallel lines toward the shore.
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This is what I found

Step-by-step explanation: <em>If you look at the figure, the angle marked red is equal to 70° because vertical angles are equal. So, that also means that the opposite angle 2 is also 70°. So, the first equation is:</em>

<em />

<em>70 = 5x + y</em>

<em />

<em>Next, the green angle as marked is equal to</em>

<em>Green angle = 180 - 70 = 110</em>

<em>Being vertical angles, angle 1 is then equal to 110°. So,the second equation is</em>

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<em>110 = 5x + 3y</em>

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<em>Subtract the two equations:</em>

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<em>    5x + y = 70</em>

<em> -  5x + 3y = 110</em>

<em>________________</em>

<em>           -3y = -40</em>

<em>              y = -40/-3 = 13.33°</em>

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<em>Substituting y to either one of the equations,</em>

<em>5x + 13.33 = 70</em>

<em>Solving for x, </em>

<em>x = 11.33°</em>

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3 0
3 years ago
Louise has 15 cats and 10 dogs. What is 1/3 as many cats as dogs?
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suppose you earn $15 for each car you wash. Which function describes the relationship between your total earnings E and the numb
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$15c=E
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3 years ago
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List the names and measures for pairs of same-side interior angles. Then find the sum of the measures for each pair. What is the
SpyIntel [72]

Answer: The two pairs of same-side interior angles are CHG and HGA and DHG and HGB.

mCHG = 48.81°, and m HGA = 131.19°.

mDHG = 131.19°, and m HGB = 48.81°.

mCHG + mHGA = 180°

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Each pair of same-side interior angles is supplementary.

Step-by-step explanation:

7 0
3 years ago
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Use the discriminant to determine the number of solutions for the quadratic equation.
Leno4ka [110]

Answer:

2 real solutions

Step-by-step explanation:

y = -x^2 + 3x + 5

First find the the discriminant:

using b² - 4(a)(b)

(3)²- 4(-1)(5)

=9+20

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