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IceJOKER [234]
3 years ago
8

Write the quadratic function in vertex form, then identify the vertex

Mathematics
1 answer:
34kurt3 years ago
8 0

Answer:

vertex = (- 10, - 10 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

h(x) = x² + 20x + 90

add/subtract ( half the coefficient of the x- term )²

h(x) = x² + 2(10)x + 100 - 100 + 90

      = (x + 10)² - 10 ← in vertex form

with (h, k ) = (- 10, - 10 )

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John had 84 dollars, and his brother Fred owed 12 dollars to his friend. John gave his brother some money. Fred paid his debt an
Alja [10]

Answer:

John have $36 and he should give $48 to his brother for both to have equal money.

Step-by-step explanation:

Given that,

amount of money John have = $84

amount of money John's brother owed to her friend = $12

$12 of the $84 is going to his brother's friend, that leaves $72 for John and his brother.

If they are to finish with the same amount, then each should have half of the John's money after he paid $12

So,

72/2

= 36 each

but since John's brother have to give 12 rupees in debt so

36+12

= $48

So John should have $36 and he should give $48 to his brother.

4 0
3 years ago
Select the end behavior of the exponential function shown in the graph
Ber [7]

Answer:

The x graph

Step-by-step explanation:

The x graph

8 0
3 years ago
Read 2 more answers
Describe how to write 7,594,000,000 in scientific notation. Complete the description. First move the decimal point places to the
s2008m [1.1K]

Step-by-step explanation:

The given number is 7,594,000,000.

To convert it into scientific notation,

First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was  > 1.

In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.

Hence, 7,594,000,000=7.59\times 10^9 is the scientific notation.

6 0
3 years ago
If 1 16 oz can cost. $1 how much is 8 40oz cans
Studentka2010 [4]

Answer:

8 I think

Step-by-step explanation:

I did 40÷16=2.5 then 2.5×8=20

3 0
3 years ago
A circle has center at –6 + 2i and a point on the circle at 4 + 26i. Which of the following points is also on the circle?
Alenkasestr [34]
Answer:
–16 – 22i
Step-by-step explanation:
The radius of the circle = 4 + 26i - (-6 + 2i)
= 10 + 24i.
The radius will be the absolute values of this |10 + 24i|.

If a point is on the circle then it's distance from the centre must be 10+ 24i.
-19 + 15i - (-6 + 2i) = -13 - 13i , so this is not on the circle.
-16 - 22i - (-6 + 2i) = -10 - 24i = |10 + 24i| , so this is on the circle.
5 + 16i - (-6 + 2i) = 11 + 14i , so this is not on the circle.
20 - 24i - (-6 + 2i) = 26 - 26i. so this is not on the circle.
3 0
1 year ago
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