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Leto [7]
2 years ago
5

What are the vertex and x intercepts of the graph of the function below y=(x-4)(x + 2)

Mathematics
1 answer:
jeyben [28]2 years ago
3 0

Answer:

x - intercepts: (4,0) and (-2,0)

vertex: (1/2 ,  - 17/2)

Step-by-step explanation:

Part A

To find the x-intercepts you have to set y=0

(x-4) (x+2) = 0

Separate the parenthesis. Solve for  x

x-4 = 0

x= 4

x+2 = 0

x= -2

x - intercepts: (4,0) and (-2,0)

-------------------------------------------------

Part B

vertex formula for the x: coordinate : -b/2a

Expand the function.

y = 2x^2-2x-8

a = 2

b = -2

c= -8

-b/2a = -(-2)/2(2) = 1/2

vertex x- coordinate: 1/2

Substitute 1/2 back into every "x" in the function to find the "Y" for the vertex.

y = 2(1/2)^2 -2(1/2) -8

y = -17/2

vertex: (1/2 ,  - 17/2)

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Write and solve a proportion to answer the question. (Skills Review Handbook) 22. 30 is 15% of what number?
algol13

Answer:

The answer is 148.6666667

Step-by-step explanation:

1) Set a linear quation

\frac{22.30}{x}  =  \frac{15}{100}

2) Cross multiply

15x = 22.30 \times 100

3) Multiple the right side

15x = 2230

4) Divide both side by 15

\frac{15x}{15}  =  \frac{2230}{15}

5) Solve the linear equation

x = 148.6666667

3 0
2 years ago
Andrea is told that the means of two groups in a study were statistically significant. She knows the means and standard deviatio
salantis [7]

Answer:

Cohen's D

Step-by-step explanation:

Cohen's D is a statistic that measures effect size. It shows standardised difference between 2 means.

Effect size is defined as how large the effect of a something is or its magnitude.

Cohen's D works effectively when the sample is >50 (that is for large samples). However a correction factor can be used to make results from small samples more accurate

The formular for Cohen's D is:

D = (mean1 - mean2) ÷ (√({standard deviation1}^2 + {standard deviation 2}^2)/2)

This is the most appropriate method in the given scenario

5 0
3 years ago
Whats 926 divided by 30
balandron [24]

30.87 ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

\frac{926}{30}  \\  = 30 \frac{26}{30}  \\ ( \: or \: ) \\  = 30.8666 \\  = 30.87

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}

4 0
2 years ago
A number of runners enter a race. The times that each runner finished is based on every hour. Five runners finished the race in
Aleksandr [31]

The histogram for the data is given at the end of this answer.

<h3>What is an histogram?</h3>

An histogram is a graph that shows the number of times each element of x was observed.

In this problem:

  • The elements of x are given by the time in hours.
  • The histogram shows the number of runners that finished the race in x hours.

Hence, the graph given at the end of this answer is the histogram.

You can learn more about histogram at brainly.com/question/2962546

3 0
2 years ago
A line has a slope of -2/3and passes through the point (-3, 8). What is the equation of the line?
Pie

Answer:

y = -2/3 + 6

Step-by-step explanation:

Slope = -2/3

Point (- 3, 8)

b = 8 - (-2/3)(-3)

= 8 - 2

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4 0
2 years ago
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