MATHEMATICS HIGH SCHOOL

Write the quadratic function in vertex form.

y = x^2 - 6x + 7

Answers

Answer 1
Answer: To solve this equation, we can use completing of the squares. Hence, from the equation y = x^2 - 6x + 7 , b is equal to -6. The form should become y = (x-(b/2)^2) + c. (b/2)^2 is equal to 9. Hence,

y = (x - 3)^2 -9 + 7 
y = (x - 3)^2 -2
y- 2 = (x - 3)^2

hence the vertex is at (3,2)
Answer 2
Answer: The vertex form: y = a(x - h)² + k

y = x² - 6x + 7 = x² - 2x · 3 + 3² - 3² + 7 = (x - 3)² - 9 + 7 = (x - 3)² - 2


Answer: y = (x - 3)² - 2

Used: (a - b)² = a² - 2ab + b²

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In division, a problem includes a divisor, a dividend and....

Answers

A quotient, which is the answer of the division.
quotient ,quotient ... i think

Liz owns stock in Nar Heating/Cooling and Cilla Shipping. She owns 120 more shares of Cilla Shipping than she does of Nar Heating/Cooling. Nar Heating/Cooling pays a yearly dividend of $5.78 per share, and Cilla Shipping pays a yearly dividend of $4.15 per share. If Liz receives $1630.02 in dividends annually, how many shares of Nar Heating/Cooling does she own?

Answers

The number of shares of Nar Heating/Cooling that Liz has is 114. Let x be the number of shares in Nar Heating/Cooling and y the number of shares in Cilla Shipping. Liz owns 120 more shares of Cilla Shipping than she does of Nar Heating/Cooling: y = x + 120. Liz receives $1630.02 in dividends annually: 5.78x + 4.15y = 1630.02. This is the system of two equations: y = x + 120 and 5.78x + 4.15y = 1630.02. Substitute y from the first equation into the second one: 5.78x + 4.15(x + 120) = 1630.02. 5.78x + 4.15x + 498 = 1630.02. 9.93x + 498 = 1630.02. 9.93x = 1630.02 - 498. 9.93x = 1132.02. x = 1132.02/9.93 = 114. So, the number of shares in Nar Heating/Cooling is 114.

Answer:

Edge answer is B) 114 shares

Step-by-step explanation:

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Which table shows a negative correlation?

Answers

If we graph the x - y values in a scatter plot and draw a line of best fit, we can easily see the solution.

Negative correlation means y decreases as x increases, or a negative sloping line.

Attached is the graphs of all the 4 choices. Clearly, the 4th table shows negative correlation.


ANSWER: Last table (4th table) shows negative correlation

The table that shows negative correlation is the fourth table.

What is correlation?

Correlation is used in statistics to determine the relationship that exists between two variables.

Negative correlation means there is no relationship between the variables.  When plotted on a graph, a negative correlation would be downward sloping. Looking at the tables, when plotted, only the fourth table would be downward sloping.

To learn more about negative correlation, please check: brainly.com/question/27246345

An astronaut that weighs180 on Earth only weighs
30 pounds on the moon.
If on astronaut weights
25 pounds on the moon,
how much would they
weight on earth?

Answers

Answer:

150 pounds

180/30=6 so whatever other weight you get will have to be a multiple of 6

25*6=150

Step-by-step explanation:

Answer:*80 pounds

Step-by-step explanation:

25 pounds on Earth

4 pounds on the Moon

             =

500 pounds on Earth

? pounds on the Moon

Compare the numerators.

25pounds on Earth

4 pounds on the Moon

=

500pounds on Earth

? pounds on the Moon

To get from 25 to 500, multiply by 20. Multiply the numerator and denominator by 20 to find how many pounds the astronaut would weigh on the Moon.

25 pounds on Earth20

4 pounds on the Moon20

=

500 pounds on Earth

80pounds on the Moon

The astronaut would weigh 80 pounds on the Moon.

What can multiply to get -36 and add to get -40

Answers

4*-9+-4= -40

-36-4= -40

-40=-40

I hope that's help:)

11. If f(x)=4x-9, what is the equation for f^-1(x)?

Answers

f(x) = 4x - 9

let f(x) = y, this implies that  x = f⁻¹(y)

y = 4x - 9           Let us solve for x.

4x - 9 = y

4x = y + 9

x = (y + 9)/4

Recall that x = f⁻¹(y),

x = (y + 9)/4

f⁻¹(y) = (y + 9)/4

That means that for f⁻¹(x)

f⁻¹(x) = (x + 9)/4

Hope this explains it.
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