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stira [4]
3 years ago
10

Solve These Number Patterns:

Mathematics
1 answer:
atroni [7]3 years ago
8 0
1. times 2 but make it negative and then times 2 make it postiive.
-512,1024,-2048
2.Follows the same pattern
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Type the correct answer in the box. Rewrite the quadratic equation in the form y = a(x − h)2 + k. y=5x^2-30x+95
S_A_V [24]

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

  • -(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

  • 30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

  • y = 5(3)^2 - 30(3) + 95
  • = 5(9) - (90) + 95
  • 45 - 90 + 95
  • 50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

  • y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

6 0
3 years ago
Janet saved $400 dollars. She decided to spend 130 on clothes. What percentage of her money did she spend on clothes?
adell [148]

Answer:

32.5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If the area of a circle is 58 square feet, find the circumference. A. 42.5 ft. B. 4.25 ft. C. 22.35 ft. D. 26.99 ft.
PSYCHO15rus [73]

Answer: OPTION D.

Step-by-step explanation:

The formula for calculate the circumference of a circle is:

C=2r\pi

Where <em>r</em> is the radius.

The formula for calculate the area of a circle is:

A=r^2\pi

Where <em>r</em> is the radius.

Solve for <em>r</em> from A=r^2\pi to calculate it:

r=\sqrt{\frac{A}{\pi}}\\r=\sqrt{\frac{58ft^2}{\pi}}\\r=4.296ft

Subsitute the radius into C=2r\pi. Then:

C=(2)(4.296ft)\pi=26.99ft

3 0
3 years ago
Read 2 more answers
Devon worked for Mr.greene on four days last week.He was paid a total of $120 for the four days of work. If he worked 2 hours ea
sammy [17]
It'll be 60 if you divided there is your actually answer
8 0
3 years ago
Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now. Ralph's
Marizza181 [45]

The correct answer is 18.

5 0
3 years ago
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