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3 years ago

10

Jeremy played two basketball games. He scored 6 fewer points in the second game than he scored in the first. He scored 24 points

in the second game. Which equation can be used to find how many points he scored in the first game?

1 answer:

tigry1 [53]3 years ago

4 0

Answer:

24 + 6

Step-by-step explanation:

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Angle a and b are complementary. M angle a equal (5x +2) degrees. Find m angle b. Justify your reasoning. Will mark brainliest !

Pachacha [2.7K]

Answer:

∠b = 88 - 5x

Step-by-step explanation:

If a and b are complementary, then sum of two angles is 90

∠a + ∠b = 90

5x + 2 + ∠b = 90

∠b = 90 - 5x - 2

∠b = 88 - 5x

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3 years ago

Rewrite the quadratic function in vertex form.<br> Y=2x^2+4x-1

Fantom [35]

Answer:

$\large\boxed{y=2(x+1)^2-3}$

Step-by-step explanation:

The vertex form of an equation of a parabola:

$y=a(x-h)^2+k$

(h, k) - vertex

We have

$y=2x^2+4x-1=2\left(x^2+2x-\dfrac{1}{2}\right)$

We must use the formula: $(a+b)^2=a^2+2ab+b^2\qquad(*)$

$2\left(x^2+2(x)(1)-\dfrac{1}{2}\right)=2\bigg(\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-\dfrac{1}{2}\bigg)\\\\=2\left((x+1)^2-1-\dfrac{1}{2}\right)=2\left((x+1)^2-\dfrac{3}{2}\right)$

Use the distributive formula a(b + c) = ab + ac

$2(x+1)^2+2\left(-\dfrac{3}{2}\right)=2(x+1)^2-3$

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3 years ago

A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Co

kumpel [21]

Answer:

a) 68.2%

b) 31.8%

c) 2.3%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 530

Standard Deviation, σ = 119

We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(test scores is between 411 and 649)

$P(411 \leq x \leq 649)\\\\= P(\displaystyle\frac{411 - 530}{119} \leq z \leq \displaystyle\frac{649-530}{119})\\\\= P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%$

b) P(scores is less than 411 or greater than 649)

$P(x < 411 < x, x > 649)\\=1 = P(411 \leq x \leq 649)\\=1 - 0.682\\=0.318 = 31.8\%$

c) P(score greater than 768)

P(x > 768)

$P( x > 768) = P( z > \displaystyle\frac{768 - 530}{119}) = P(z > 2)$

$= 1 - P(z \leq 2)$

Calculation the value from standard normal z table, we have,

$P(x > 768) = 1 -0.977 = 0.023 = 2.3\%$

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4 years ago

Solve the equation x2 - 6x + 5 = 0 by graphing the related function.

Neko [114]

Answer:

The solutions are 1 and 5.

Step-by-step explanation:

x2 − 6x + 5 = 0

Step 1: Write the related function.

x2 − 6x + 5 = 0

y = x2 − 6x + 5

Step 2: Graph the function.

Use a graphing calculator.

Step 3: Find the zeros.

The zeros are 1 and 5.

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3 years ago

What is 16,473 to the nearest hundred

Verizon [17]

The number "4" is in the hundreds place. To the right is 7, and since it's greater than five it rounds up. So 16,473 to the nearest hundred is 16,500. Hope this helped!

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4 years ago