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3 years ago

What is the vertex of the graph of the function below?

Mathematics

2 answers:

olasank [31]3 years ago

5 0

Answer:

The correct answer is B. (4, -4)

Step-by-step explanation:

The equation of the graph is given to be : y = x² - 8x + 12

Now, comparing the given equation with standard form : ax² + bx + c

⇒ a = 1 , b = -8 and c = 12

$\text{Also, The x-value of the vertex is given by }\frac{-b}{2a}$

$\text{So, The x-value of the vertex = }\frac{8}{2}=4$

So, The x-value of the vertex = 4

Now, Putting this value of x in the given equation to find the y-value of the vertex :

⇒ y = 4² - 4 × 8 + 12

⇒ y = 16 - 32 + 12

⇒ y = -4

Hence, The vertex of the given equation is (4, -4)

Therefore, The correct answer is B. (4, -4)

Free_Kalibri [48]3 years ago

3 0

Since <span>y = x2 - 8x + 12 is a quadratic equation, it is the same of y=ax²+bx+c
the main formula of the vertex is x= -b/2a, and y=f(-b/2a)

for our case x= -(-8) / 2=4, and f(4)= -4

the answer is </span><span>B. (4, -4)</span>

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What is m2?<br> What is m<1?

yuradex [85]

Answer:

∠ 2 = 75° , ∠ 1 = 105°

Step-by-step explanation:

∠ 2 and 75° are alternate angles and are congruent , then

∠ 2 = 75°

∠ 1 and ∠ 2 are a linear pair and sum to 180° , that is

∠ 1 + ∠ 2 = 180°

∠ 1 + 75° = 180° ( subtract 75° from both sides )

∠ 1 = 105°

3 0

2 years ago

How could you solve this equation <br><br> -4= -17+x

never [62]

i belive you add 17 on both sidees to find x

4 0

4 years ago

Read 2 more answers

Shelia is making a cake. She

vesna_86 [32]

She need 1/12 cup of oil. A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.

<h3>What is meant by fraction?</h3>

A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.

fraction, A number expressed as a quotient in arithmetic, in which a numerator is divided by a denominator. Both are integers in a simple fraction.

A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator. A fraction is a portion of a whole number and a method of dividing a number into equal parts.

She needs 1/3 cup of oil
She have 1/4 cup of oil

To find how much need to obtain 1/3 of cup

we need to subtract what we have from what we need.

so , we have 1/4 and need 1/3

= 1/3 - 1/4

= $\frac{1 * 4}{3 * 4} - \frac{1 * 3}{4 * 3}$

= 1/12

she need 1/12 cup of oil more to make cake.

To Learn more about fraction refer :

brainly.com/question/1622425

#SPJ9

6 0

1 year ago

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

kvv77 [185]

Answer: the widget would be sold for $84.3

Step-by-step explanation:

The amount of profit, y made by the company, is related to the selling price of each widget, x, by the given equation which is expressed as

y = - x² + 77x - 615

At the point of breaking even, profit = 0. This means that

- x² + 77x - 615 = 0

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = - 1

b = 77

c = - 615

Therefore,

x = [- 77 ± √(77² - 4 × - 1 × - 615)]/2 × + 1

x = [- 77 ± √(8389)]/- 2

x = (- 77 + 91.59)/2 or x = (- 77 - 91.59)/- 2

x = - 7.295 or x = 84.3

Since the price cannot be negative, then x = $84.3

4 0

3 years ago

The Pew Internet and American Life Project reported Wednesday, April 18th that two- thirds (67%) of young adults with profiles o

dlinn [17]

Answer:

At 5% significance level, larger proportion of military personnel students protect their profiles on social-networking sites than young adults with profiles on social-networking sites.

Step-by-step explanation:

let p be the proportion of military personnel students who restrict access to their profiles. Then null and alternative hypotheses are:

$H_{0}$ : p=0.67 (67%)

$H_{a}$ : p>0.67

We need to calculate z-statistic of sample proportion:

z= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of military students who restrict access to their profiles ( $\frac{78}{100}$ =0.78)

p is the proportion assumed under null hypothesis. (0.67)

N is the sample size (100)

Then z= $\frac{0.78-0.67}{\sqrt{\frac{0.67*0.33}{100} } }$ ≈ 2.34

The corresponding p-value is 0.0096. Since 0.0096<0.05 (significance level) we can reject the null hypothesis and conclude at 5% significance level that larger proportion of military personnel students protect their profiles on social-networking sites than young adults with profiles on social-networking sites.

3 0

3 years ago