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2 years ago

What is the standard form for f(x)=7(x-1)^2+3

Mathematics

1 answer:

baherus [9]2 years ago

4 0

For me : 7x^2 - 14x + 10

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Suppose that the scores, X, on a college entrance examination are normally distributed with a mean score of 560 and a standard d

12345 [234]

Answer:

543

Step-by-step explanation:

The 33rd percentile corresponds to a score of 542.4. In order for a score to be within the top 67%, it must be above that value. The least integer above that value is 543.

7 0

2 years ago

Perform each indicated operation

MissTica

Answer: $\frac{x+6}{x-4}$

Step-by-step explanation:

First you need know some general formuals of factorization such as

$x^3+y^3=(x+y)(x^2-xy+y^2)$ so you have $x^3+64=X^3+4^3=(x+4)(x^2-4x+4^2)$

And, $x^2-y^2=(x-y)(x+y)$ so you have $2x^2-32=2(x^2-16)=2(x^2-4^2)=2(x+4)(x-4)$

If you use them, then you can modify your equations such as

$\frac{x^3+64}{2x^2-32}$ ÷ $\frac{x^2-4x+16}{2x+12}$ = $\frac{(x+4)(x^2-4x+4^2)}{2(x+4)(x-4)}$ ÷ $\frac{x^2-4x+16}{2(x+6)}$ = $\frac{(x+4)(x^2-4x+4^2)}{2(x+4)(x-4)} . \frac{2(x+6)}{{x^2-4x+16}} = \frac{1}{x-4}.\frac{x+6}{1}=\frac{x+6}{x-4}$

4 0

2 years ago

The diagram shows a cuboid.

nika2105 [10]

Cuboid has 6 faces. If each face was 2m squared, that would be 2m squared times 6 which is 12m squared

7 0

2 years ago

Write and solve an inequality to fit each phrase; the product of -7 and a number is no more than 77

erastovalidia [21]

Answer:

Step-by-step explanation:

<em>- 7n ≤ 77</em>

n ≥ - 11

7 0

2 years ago

There are red, blue, and white buttons in a box. The ratio of the

vampirchik [111]

Answer:

680

Step-by-step explanation:

Ratio of red to white 4 : 7

Number of white = 280

White + red buttons = x

7x / 11 = 280

7x = 280 * 11

7x = 3080

x = 3080 / 7

x = 440

Number of red buttons 440 - 280 = 160

Number of red bottons ;

Blue + red buttons = x

3 : 2 ; blue : red

3 + 2 = 5 ;

2x / 5 = 160

2x = 160 * 5

2x = 800

x = 800 / 2

x = 400

Number of Blue buttons :

400 - 160 = 240

Total :

White + red + blue

280 + 160 + 240 = 680 buttons

5 0

2 years ago