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3 years ago

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marsha wants to determine the vertex of the quadratic function f(x) = x2 – x 2. what is the function’s vertex? (1, 1) (1, 3) (1/

2,3/2 (1/2,7/4)

2 answers:

Ede4ka [16]3 years ago

8 0

So A would be your answer

babunello [35]3 years ago

5 0

F(x) = x^2 - x + 2
f(x) = x^2 - x + 1/4 + 2 - 1/4
f(x) = (x - 1/2)^2 + 7/4
Therefore, vertex = (1/2, 7/4)

You might be interested in

A business executive bought 40 stamps for

alekssr [168]

Answer:

32 33-cent stamps, 8 23-cent stamps

Step-by-step explanation:

In order to solve this question, we need to set up a system of equations. Also known as solving for two variables (the number of each stamp).

Let's set x to be the number of 33-cent stamps. Similarly, let's set y to be the number of 23-cent stamps.

To make our first equation, let's think about the number of stamps total we have. We can say:

$x + y =40$

<em>(AKA - The number of 33-cent stamps, plus the number of 23-cent stamps, equals 40 stamps.)</em>

Now, let's make an equation for the cost of these stamps.

$0.33x + 0.23y = 12.40$

<em>(AKA - The cost of the stamps in total, should equal $12.40).</em>

So now, we have our two equations:

$x + y =40\\0.33x+0.23y=12.40$

If you have a TI-84 graphing calculator, you can go to apps -> polysmlt2 -> simultaneous eqn solver, and then input these equations into the menu. This will solve the problem for you.

If you need to do this manually, let's use substitution. Condense our first equation to make it more substitutable.

$x+y=40\\x=40-y$

Now, let's put this into our second equation.

$0.33x+0.23y=12.40\\0.33(40-y)+0.23y=12.40$

Distribute, and solve for y.

$13.2-0.33y +0.23y =12.40\\13.2-0.1y=12.40\\-0.1y=-0.8\\y=8$

Now, we plug this into one of our equations.

$x+y=40\\x+8=40\\x=32$

In the end, we have thirty-two 33-cent stamps, and eight 23-cent stamps.

3 0

1 year ago

The temperature is -2 deg C . If the temperature rises by 15 deg C what is the new temperature ?

fgiga [73]

Current temperature = -2°C

Rise in temperature = 15°C

New temperature = (-2 + 15)°C = 13°C

5 0

2 years ago

Read 2 more answers

Solve. 6 4/5=5/6x−3 1/2 Enter your answer as a mixed number in simplest form in the box X= ? HELP ASAP!!!!! I WILL GIVE BRAINLIE

maksim [4K]

Answer:

x=12.36 or 12 9/25 or 309/25

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio

Bess [88]

Answer:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean

$\sigma=60$ represent the population standard deviation

n represent the sample size (variable of interest)

Confidence =95% or 0.95

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

The critical value for 95% of confidence interval is provided, $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

6 0

3 years ago

What is the slope of the line shown below?

IrinaVladis [17]

Answer:

D. 7/3

Explanation:

Y1 - Y2 / X1 - X2

9 - -5 / 6 - 0

9 + 5 / 6

14 / 6

7/3

3 0

3 years ago