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 month is randomly chosen. What is the probability that the month chosen has less than 31 days?

Rasek [7]

Well think about how many months there’s are!

12 right?

So 12 is the total of months or the denometor

Or bottom number ^^

Now how many months have 31 days?

Figure that out and that your numerator

5 0

3 years ago

The distribution of cholesterol levels in teenage boys is approximately normal withnbsp mu equals 170 and sigma equals 30 (Sour

ddd [48]

Answer: 0.0336

Step-by-step explanation:

Given : The distribution of cholesterol levels in teenage boys is approximately normal with mean : $\mu= 170$

Standard deviation : $\sigma= 30$

The formula for z-score is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x=225

$z=\dfrac{225-170}{30}=1.83$

The p-value = $P(z>1.83)=1-P(z$

$=1-0.966375=0.033625\approx0.0336$

The probability that a teenage boy has a cholesterol level greater than 225 =0.0336

4 0

3 years ago

The answer to 8x+y more than equal to -12

Anarel [89]

For this case we must resolve the following inequality:

$8 + y \geq-12$

Subtracting 8 from both sides of the inequality:

$y\geq -12-8$

Equal signs are added and the same sign is placed.

$y\geq-20$

Thus, the solution is given by all values of "y" greater than or equal to -20.

Answer:

"y" belongs to the set [-20,∞)

4 0

3 years ago

The approximate line of best fit for the given data points, y = −2x − 2, is shown on the graph.

Nonamiya [84]

Answer:

the answer is: '-2'

Step-by-step explanation:

" A residual value is a difference between observed y-value(from scatter plot) and the predicted y-value( from regression equation line) ".

when we look at the scatter plot we see that the value of y at $x= -2$ is $y=0$

,and when we substitute the value $x=-2$ into the given equation $y= -2x-2$

we get $y=2.$

so, the residual value is given as: $y=0-2= -2.$

Hence, the residual value at x=-2 is -2.

4 0

3 years ago

Read 2 more answers

What is 0.12 with12 repeating

Ilya [14]

Answer:

4/33

Step-by-step explanation:

We seek to find the repeating decimal 0.121212... in the form of a fraction.

First, set x equal to this decimal:

x = 0.121212...

Multiply both sides by 100:

100x = 12.121212....

Now, let's subtract the original equation from this new one:

100x = 12.121212....

- x = 0.121212....

We realize that since the repeating decimal part goes on forever, we can simply cancel it out when we subtract. So we're left with:

100x - x = 12 - 0

99x = 12

Divide both sides by 99:

x = 12/99 = 4/33

The answer is 4/33.

<em>~ an aesthetics lover</em>

7 0

3 years ago