For the quadratic function f(x) = x2 + 8x + 12 in standard form, find the following key features:
vertex
y-intercept
Roots x =
and x =
Axis of Symmetry x =

Answer:

if you divide both sides of -5x > 0 you get z > 0. This is incorrect because if you choose a value from the possible solutions such as z=6 and substitute it into the original equation you get -30 > 0, which is not true

I put the answers in bold

hope this helps!

Step-by-step explanation:

Cost of apples, y, varies directly with pounds

of apples purchased, x.

y = kx

k is constant of proportion

Four pounds of apples cost $5

5 = 4k

k = 5/4 = 1.25

10 = 8k

k = 10/8 = 1.25

As it should be, k is a constant equal to 1.25

y = 6(1.25) = $7.50 for 6 pounds of apples

Answer:

the answer is D

Step-by-step explanation:

i took the test on edg your welcome

Answer:

Joel had 120 dimes and 80 quarters.

Step-by-step explanation:

Given that Joel had 200 coins, which were dimes and quarters, and the total value was $ 32, to determine how many coins of each type he had, the following calculation must be performed:

0.25 - 0.10 = 0.15

200 x 0.10 = 20

32 - 20 = 12

12 / 0.15 = 80

200 - 80 = 120

(80 x 0.25) + (120 x 0.1) = X

20 + 12 = X

32 = X

Thus, Joel had 120 dimes and 80 quarters.

Answer:

number is -155

Step-by-step explanation:

let the number equal 'x'

quotient means divide

nine more means plus 9

quotient of a number and 5 means x divided by 5

9+ x/5 = -22

now to solve for x

x/5 = -31

x = -155

Answer: 6 2/3 pounds.

Step-by-step explanation:

Answer:

6 2/3 pounds

Step-by-step explanation:

Answer:

y=-5x/4-2

Step-by-step explanation:

4x – 5y = 20

y = (4/5)x - 4

slope is 4/5

let new slope m:

(m)(4/5)=-1

m=-5/4

point slope form:

(y-3)/(x+4)=-5/4

y-3=-5x/4-5

y=-5x/4-2

Answer:

C

Step-by-step explanation:

14/21 = 2/3 = .666666666666666666666.....7

Answer:

0.9973

Step-by-step explanation:

Given :

Probability of girl, probability of success , 1 - p = 1 - 0.519 = 0.481

1 - p = 0.481

n = 9

Probability that atleast one is girl

Usingbthe binomial probability distribution :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

USing the binomial probability calculator :

p(x ≥ 1) = p(x=1) + p(x=2) + p(x=3) + p(x=4) + p(x=5) + p(x=6) + p(x=7) + p(x=8) + p(x=9)

p(x ≥ 1) = 0.9973 ( from calculator).

Answer:

-2

Step-by-step explanation:

Add 15 to both sides

5-15+15=-25+15x=-10

Dive by 5 both sides

5/5=-10/5

x=-2

Answer:

Option C. 10

Step-by-step explanation:

From the question given above, the following data were obtained:

P = {3}

Q = {10}

PnQ = {5}

(PuQ)ᶜ = {9}

PᶜnQ =?

Next, we shall determine the complement of P (Pᶜ).

Complement of P (Pᶜ) are elements found in the universal set but not found in the set P. The complement of P (Pᶜ) can be obtained as follow:

Universal set (U) = {3,5,10,9}

P = {3}

Pᶜ = {5,10,9}

Finally, we shall determine PᶜnQ. This can be obtained as follow:

Q = {10}

Pᶜ = {5,10,9}

PᶜnQ = Elements common to both Pᶜ and Q.

PᶜnQ = {10}

Answer:

this should be right

Step-by-step explanation:

Answer:

Prime Factors is a  factor of a given integer which is also a prime number.

Given:

The coordinates of the points are B(-4,3), G(-2, 4), H(1, -2), L(-1, -3).

To find:

Whether GL and BH are parallel or not by using their slopes.

Solution:

If a line passes through the two points, then the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using the slope formula, the slope of GL is

[tex]m_1=\dfrac{-3-4}{-1-(-2)}[/tex]

[tex]m_1=\dfrac{-7}{-1+2}[/tex]

[tex]m_1=\dfrac{-7}{1}[/tex]

[tex]m_1=-7[/tex]

Using the slope formula, the slope of BH is

[tex]m_2=\dfrac{-2-3}{1-(-4)}[/tex]

[tex]m_2=\dfrac{-5}{1+4}[/tex]

[tex]m_2=\dfrac{-5}{5}[/tex]

[tex]m_2=-1[/tex]

We know that slopes of parallel lines are always equal.

The slopes of GL and BH are -7 and -1 respectively but they are not equal, therefore GL and BH are not parallel lines.

Answer:

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

Step-by-step explanation:

[tex](x-5/2)^{2}(x-3)(x-0)^4 =0\\(2x-5)^{2}(x-3)(x)^4 =0[/tex]

Expand and get

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

The standard form will be  [tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

The given expression is

[tex](x-\dfrac{5}{2})^2(x-1)^2(x-0)^4=0[/tex]

[tex](x^2-5x+\frac{25}{4} )(x^2-2x+1)(x^4)=0[/tex]

[tex](x^4-2x^3+x^2-5x^3+10x^2-5x+\dfrac{25x^2}{4} -\dfrac{50}{4} x+\dfrac{25}{4} ) x^4=0[/tex]

[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

Thus the standard form will be  

[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

To know more about Polynomials follow

https://brainly.com/question/15702527

Answer:

In math the word "of" is multiplication.

1/3 of 24 ---> 1/3 × 24 = 8

1/4 of 24 ---> 1/4 × 24 = 6

1/6 of 24 ---> 1/6 × 24 = 4

*Answers are bolded*

Hope this helps, thank you :) !!

Answer:

Step-by-step explanation:

1/3 of 24 = 7.9999

1/4 of 24 = 6

1/6 of 24 = 4

Answer:

21

Step-by-step explanation:

84x0.25=21

25% is 0.25 as a decimal.  Multiply it times 84 to find the answer.

Answer:

x1 = -2, x2 = 8

Step-by-step explanation:

You can first divide both sides of the equation by 2 so now you have:

I 2x - 6 I = 10

Then use the absolute value definiton and rewrite it into two separate equations:

1.) 2x - 6 = -10

2.) 2x - 6 = 10

From here you can solve both equations:

1.) x = -2

2.) x = 8

i hoped this helps

Answer:

Step-by-step explanation:

157x24 = ...

Answer:

117.2

Step-by-step explanation:

Rounding a number to the nearest tenth:

A number rounded to the nearest tenth will have one decimal place.

To do this, we look at the second decimal digit.

If it is less than 5, the first decimal digit is kept.

Otherwise, one is added to the first decimal digit.

In this question:

117.22666

The second decimal digit is 2, which means that we keep the first decimal digit which is also 2.

So, the number rounded to the nearest tenth is 117.2.

Answer:

24

Step-by-step explanation:

m × n = 3m - n ÷ 2

6 × (3 × 1)

6 × 4

24

Answer:

10,844.78

Step-by-step explanation:

Answer:

118

Step-by-step explanation:

Same side interior angles are supplementary, or add up to 180.

?=118°

Answer:

<6+62=180 co interior angle

<6=180-62=118°

Answer: 16 times 20 is 320

Step-by-step explanation: 1 floor is 16 feet. Because of 32/2 to find the rate

Answer:

it = my but lol

Step-by-step explanation:

lol sorry just trying to get points

Using the quadratic formula, the value of x in the given situation is x = 4 ± √2+60x/2x.

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem.

In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.

A second-order equation of the form ax² + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.

We have:
x² – 2x = 15

x² – 2x - 15 = 0

The formula is:

x = -b ± √b² - 4ac/2a

Now, insert values as follows:

x = -b ± √b² - 4ac/2a

x = -(-2) ± √(-2)² - 4(x)(-15)/2x

x = 4 ± √2+60x/2x

Therefore, using the quadratic formula, the value of x in the given situation is x = 4 ± √2+60x/2x.

Know more about the quadratic formula here:

https://brainly.com/question/1214333

#SPJ1

Answer:

use this videos to help you

Answer:

$5.95

Step-by-step explanation:

7/20 = .35 cents per ounce

.35*17=5.95

Answer:

32470

Step-by-step explanation:

4; 32; 160; 798; 2706; 716

28;128;638;1908;4458

100;510;1270;2550

410;760;1280

350;520

170

7th: 170+520+1280+2550+4458+7164=16142

4; 32; 160; 798; 2706; 7164;16142

28;128;638;1908;4458;8978

100;510;1270;2550;4520

410;760;1280;1970

350;520;690

170;170

8th: 170+690+1970+4520+8978+16142=32470

Answer:

the equation is:    (104 * x) + 15 = y     i believe

Step-by-step explanation:

104 OF THE NUMBER of nights so times x because you dont know the number

and + 15 because of the fee