All categories

3 years ago

Write a quadratic function in vertex form whose graph has the vertex (−5, −1) and passes through the point (−2, 2)

Mathematics

1 answer:

fenix001 [56]3 years ago

5 0

$f(x) = a(x+5)^2-1$

$2 = a(-2+5)^2-1 \\ 9a = 3 \\ a = 3$

$f(x) = 3(x+5)^2-1$

You might be interested in

a total of $21,000 is invested in two bonds that pay 4% and 7.5% simple interest. The bond with 7.5 % interest rate earned 6 tim

hjlf

21000=a+b
ax.075xt=6xbx.04xt
t cancels out
a=3.2b
21000= 3.2b+b
21000=4.2b
b=5000
a=16000

account with 7.5% had 16000 invested in it.
account with 4% had 5000 invested in it

4 0

2 years ago

Find the axis of symmetry for this parabola: y=-5x^2-10x-13

Dmitry [639]

Answer:

x=1

Step-by-step explanation:

1. Complete the square on the right side of the equation.

5 ( x − 1 )2 − 18

2. Use the vertex form, y = a ( x − h ) 2 + k , to determine the values of a , h , and k . a= 5 h = 1 k = − 18

3. Since the value of a is positive, the parabola opens up.

Opens Up

4. Find the vertex ( h , k ) . ( 1 , − 18 )

5. Find p , the distance from the vertex to the focus.

1 /20

6. Find the focus.

7. ( 1 , − 359/ 20 )

8. Find the axis of symmetry by finding the line that passes through the vertex and the focus.

ANSWER: x = 1

6 0

2 years ago

4m = -32 solve for M will give brainliest.

erica [24]

Answer:

m = -8

Step-by-step explanation:

have a nice day! :)

4 0

2 years ago

Read 2 more answers

Suppose there are three balls in a box. On one of the balls is the number 1, on another is the number 2, and on the third is the

quester [9]

Step-by-step explanation:

a) X is a discrete uniform distribution. As the number of outcomes is only 3.

b) sum is at least 4

X ≥ 4

i.e (1,3) or (2,3)

probability of X ≥ 4 is 2/3

2/3= 0.667

66.7 % is the probability of the outcome to have a sum at least 4.

c) The 3 likely outcome of X

(1,2) where X ; 1+2=3

(1,3) where X ; 1+3=4

(2,3) where X ; 2+3=5

Mean = 3+4+5/ 3

Mean = 4

Feel free to ask any uncleared step

8 0

2 years ago

A company receives shipments of a component used in the manufacture of a component for a high-end acoustic speaker system. When

Tanya [424]

Answer:

$ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434$

Step-by-step explanation:

For this case we have a sample size of n = 250 units and in this sample they found that 24 units failed one or more of the tests.

We are interested in the proportion of units that fail to meet the company's specifications, and we can estimate this with:

$\hat p = \frac{24}{250}= 0.096$

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The confidence interval for a proportion is given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 98% confidence interval the value of $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.33$

And the margin of error would be:

$ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434$

4 0

3 years ago