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n200080 [17]
2 years ago
12

Type the correct answer in each box. Use numerals instead of words.

Mathematics
1 answer:
shepuryov [24]2 years ago
7 0

The equation of the quadratic function shown in the graph y - 8 = -2(x + 1)².

<h3>How to illustrate the graph?</h3>

The vertex of this parabola is (-1, 8).  It opens downward, so the x² term has a negative coefficient.  The zeros are (-3, 0) and (1, 0), and the y-intercept is (0, 7).

Through the vertex form of the equation of a parabola we get:

y - (8) = a(x - (-1)) + 7, or.y - 8 = a(x + 1)².

Find coefficient a by substituting the coordinates (-3, 0) in this equation:

0 - 8 = a(-3 + 1)^2, or

-8 = a(-2)² or a = -2

The desired equation is y - 8 = -2(x + 1)^2

Learn more about graph on:

brainly.com/question/19040584

#SPJ1

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The ages of MBA students at a university are normally distributed with a known population variance of 10.24. Suppose you are ask
love history [14]

If a 99% confidence interval is constructed instead of a 95% confidence interval for the population mean, then <u>C. the resulting margin of error will increase and the risk of reporting an incorrect interval will decrease</u>.

<u>Step-by-step explanation</u>:

The margin of error helps in mentioning the amount of random sampling error that occurred in a survey. Increase in the margin of error, makes the result less confidence. So the margin of error of the survey should be less.

The margin of error can be calculated in two different ways:

One is using the standard deviation of population,

Margin of error = Critical value x Standard deviation for the population

Other is using standard error of sample,

Margin of error = Critical value x Standard error of the sample

6 0
3 years ago
NEED HELP LIKE NOW PLSSS HELP 50 POINTS Type the correct answer in the box. Use numerals instead of words. If necessary, use / f
scZoUnD [109]

Answer:

The expression that fits into the box is x¹⁵⁸

Step-by-step explanation:

Let the empty box be y

(x¹²)⁵ × (x⁻²)⁹ × y = (x⁴⁰)⁵

Here, we will apply the laws of indices.

The laws of indices gives the answer for the expressions

1) xᵏ × xˢ = xᵏ⁺ˢ

2) xᵏ ÷ xˢ = xᵏ⁻ˢ

3) (xᵏ)ˢ = xᵏ•ˢ

So,

(x¹²)⁵ = x⁶⁰

(x⁻²)⁹ = x⁻¹⁸

(x⁴⁰)⁵ = x²⁰⁰

(x¹²)⁵ × (x⁻²)⁹ × y = (x⁴⁰)⁵

Becomes

x⁶⁰ × x⁻¹⁸ × y = x²⁰⁰

x⁶⁰⁻¹⁸ × y = x²⁰⁰

x⁴² × y = x²⁰⁰

y = x²⁰⁰ ÷ x⁴²

y = x²⁰⁰⁻⁴² = x¹⁵⁸

Hope this Helps!!!

7 0
3 years ago
A blueprint for a house states that 2 inches represents 8 feet. If the width of a window is 2.5 inches on the blueprint, what is
Sloan [31]

Answer:

10 feet. You can prove this by dividing 8 by 2, with this you find that 1 inch on the blueprint is equal to 4 feet. then take half of 4(2), and add it to 8 to get your answer.

Step-by-step explanation:

I hope this helps you

-KeairaDickson

8 0
3 years ago
I need help with this question I don't know if you can see it
Dovator [93]
\begin{gathered} (-5,-6)\Rightarrow C \\ (1,-7)\Rightarrow K \\ (4,4)\Rightarrow A \\ (-6,-2)\Rightarrow F \\ \text{Star}\Rightarrow(-9,3) \\ Heart\Rightarrow(-5,-9) \\ \text{Lightning}\Rightarrow(3,-8) \\ Triangle\Rightarrow(1,-8) \end{gathered}

5 0
1 year ago
If a bake sale is selling 3 cookies for $1.05, what is the price of one cookie?
ElenaW [278]

Answer:  $0.35 which is the same as 35 cents

==========================================

Work Shown:

3 cookies = $1.05

3/3 cookies = $1.05/3

1 cookie = $0.35 = 35 cents

7 0
2 years ago
Read 2 more answers
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