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SOVA2 [1]
3 years ago
10

Use the table to write a quadratic function in vertex form. Then rewrite the function in standard form.

Mathematics
1 answer:
Kisachek [45]3 years ago
8 0

Answer:

Step-by-step explanation:

The graph decreases at first, then changes direction at (2, 5).

y = a(x-2)^2 + 5

Plug in (1,11) and solve for a:

11 = a(1-2)^2 + 5

a = 6

Equation in vertex form:

y = 6(x-2)^2 + 5

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What is the greatest common factor of 90, 126, 180 and 990?
mylen [45]

9514 1404 393

Answer:

  18

Step-by-step explanation:

90 = 18·5

126 = 18·7

180 = 18·10

990 = 18·55

The greatest common factor of these numbers is 18.

__

<em>Comment on the GCF</em>

It can be useful to know Euclid's algorithm for finding the GCF:

  1. Determine the remainder from dividing the larger number by the smaller.
  2. If the remainder is zero, the smaller number is the GCF. If the remainder is non-zero, use it to replace the larger number and repeat from step 1.

For example, 126 mod 90 = 36; 90 mod 36 = 18; 36 mod 18 = 0, so 18 is the GCF of 126 and 90. (The modulo function 'mod' returns the remainder from division.)

3 0
3 years ago
Which expression would you use to determine the missing number in the sequence? 12, ____, 26, 33, 40
Paladinen [302]

Answer:

The answer is 19.

Step-by-step explanation:

This is because the sequence adds up by 7 each time. Have a nice day!

4 0
3 years ago
Read 2 more answers
The diameter of a circle is 9 m. Find the circumference to the nearest tenth.​
DerKrebs [107]

Answer:

Circumference = diameter × π

Take π =3. 14

  • 9×3. 14 = 28. 26 ~ 28. 3
5 0
3 years ago
I think of a number, then divide by 5, then subtract 78 -the result is nine
KATRIN_1 [288]

Answer:

Imagine that the number that we are looking for is x

We know that:

x/5 - 78 = 9

x/5         = 9 + 78

x/5         = 87

x             = 87 . 5 = 435

So the number we need is 435

8 0
4 years ago
I’ll mark y brainlist for the correct answer!
inna [77]

Answer:

16 / C

Step-by-step explanation:

-4 x -4 = 16

4 x 4 = 16

two negatives cancel out when multiplying, that is why it equals 16*

5 0
3 years ago
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