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kogti [31]
3 years ago
10

Which statements are true select each correct answer​

Mathematics
1 answer:
alexandr1967 [171]3 years ago
4 0
The first and the second one are true statements.
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Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form?
hichkok12 [17]
                y = 3(x - 2)² - (x - 5)²
                y = 3(x - 2)(x - 2) - (x - 5)(x - 5)
                 y = 3(x(x - 2) - 2(x - 2)) - (x(x - 5) - 5(x - 5))
                 y = 3(x(x) - x(2) - 2(x) + 2(2)) - (x(x) - x(5) - 5(x) + 5(5))
                 y = 3(x² - 2x - 2x + 4) - (x² - 5x - 5x + 25)
                 y = 3(x² - 4x + 4) - (x² - 10x + 25)
                 y = 3(x²) - 3(4x) + 3(4) - (x²) + (10x) - (25)
                 y = (3x² - 12x + 12) + (-x² + 10x - 25)
                 y = (3x² - x²) + (-12x + 10x) + (12 - 25)
                 y = 2x² - 2x - 13
            + 13                + 13
         y + 13 = 2x² - 2x + 0.5
y + 13 + 0.5 = 2(x² - x + 0.25)
      y + 13.5 = 2(x² - 0.5x - 0.5x + 0.25)
      y + 13.5 = 2(x(x) - x(0.5) - 0.5(x) + 0.5(0.5))
      y + 13.5 = 2(x(x - 0.5) - 0.5(x - 0.5))
      y + 13.5 = 2(x - 0.5)(x - 0.5)
      y + 13.5 = 2(x - 0.5)²
          - 13.5         - 13.5
                 y = 2(x - 0.5)² - 13.5
7 0
3 years ago
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Roselyn is driving to visit her family, which lives 150 kilometers away. Her average speed is 60 kilometers per hour. The car's
Nostrana [21]

Answer:

Step-by-step explanation:229

4 0
3 years ago
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Find the unit rate. 4 grams for every $\frac{3}{4}$ serving The unit rate is grams per serving.
Katyanochek1 [597]

Answer:

5 1/3 grams per serving

Step-by-step explanation:

Find the unit rate. 4 grams for every $\frac{3}{4}$ serving The unit rate is grams per serving.

The unit rate in grams per serving is given as:

3/4 servings = 4 grams

1 servings = x grams

Cross Multiply

x grams = 4 grams × 1 serving/3/4 serving

x grams = 4 grams ÷ 3/4 servings

x grams = 4 grams × 4/3 servings

x grams = 16/3

x grams = 5 1/3 grams per serving

The unit rate = 5 1/3 grams per serving

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3 years ago
which of the following are valid probability distributions for a discrete random variable? check all that apply
djverab [1.8K]
A. <span>0.16 + 0.193 + 0.222 + 0.233 + 0.067 + 0.125 = 84
</span>probabilities are all between 0 and 1 but does not add to 1.
<span>B. 0.35+0.18+ 0.21+ 0.06+ 0.17+ 0.03 = 1
</span>probabilities are all between 0 and 1 and also <span>add to 1.
</span><span>C. (0.01) 11+ (0.01) 12+ (0.01) 13 = 0.11+0.12+0.13 =0.36
</span>probabilities are all between 0 and 1 but does not add to 1.
D. 0.16+0.12+ 0.02+ 0.08+ 0.22+ 0.05+ 0.15+ 0.02+ 0.18 = 1
probabilities are all between 0 and 1 and also add to 1.
E. 0.12-0.02+0.18+0.08+0.15+0.05+0.16+0.27+0.02+ 0.36 -0.15 -0.22 =1
probabilities are all between 0 and 1 and also <span>add to 1.</span>
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4 years ago
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Q/3 - -2 = 5<br> solve this problem
tresset_1 [31]

Answer:

q = 9

Step-by-step explanation:

\frac{q}{3}-(-2) = 5\\\\\frac{q}{3}+2=5\\\\\frac{q}{3}=5-2\\\\\frac{q}{3}=3\\\\q = 3*3\\\\q = 9

7 0
3 years ago
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