Select the function that's represented in the graph.

options:

A)

ƒ(x) = (x + 3)2 – 5

B)

ƒ(x) = 3(x + 3)2 – 5

C)

ƒ(x) = (x – 3)2 – 5

D)

ƒ(x) = 3(x – 3)2 – 5

Answer: 6

Step-by-step explanation:

From the question, we are informed that a group of friends wants to go to the amusement park and that they have $94.25 to spend on parking and admission.

We are further told that Parking is $14.75, and tickets cost $13.25 per person, including tax. The equation that can be used to solve the number of people who can go to the amusement park would be:

= 14.75 + 13.25p

Since they've $94.25 to spend, the number of people that can go to the amusement park will be:

14.75 + 13.25p = 94.25

13.25p = 94.25 - 14.75

13.25p = 79.50

p = 79.50 / 13.25

p = 6

6 people can go to the amusement park

Answer:

4 cups = 384 calories ; 1 cup = 96 calories

Step-by-step explanation:

Given that:

3/4 cups = 72 calories

Let Number of calories in 4 cups = x

3/4 = 72

4 = x

Cross multiply

(3/4)x = 72 * 4

(3/4)x = 288

Multiply both sides by 4/3

(3/4 * 4/3)x = 288 * 4/3

x = (288 * 4) /3

x = 384

Hence, 4 cups has 384 calories

Number of calories per cup :

4 cups = 384 calories

1 cup = 384 / 4

1 cup = 96 calories

Answer:

slope: -4, y intercept: (0, -5)

Step-by-step explanation:

Answer:

183.6 miles

Step-by-step explanation:

Kindly check the picture attached for the solution diagram

Using the cosine formula (Diagram has two sides and an included angle)

x² = y² + z² - 2zy * cosX

x² = 150² + 60² - 2(150*60) * cos115

x² = 22500 + 3600 - 18000 * −0.422618

x² = 22500 + 3600 + 7607.1287

x² = 33707.128 miles

x = √33707.128

x = 183.59501

x = 183.6 miles

Answer:

D

Step-by-step explanation:

183.60

The female's have intercourse with the male's in a way that I can't describe on this website, and thus, the males give birth to the babies.

Answer:

haircut =9 and hair color= 3

Step-by-step explanation:

Step one:

GIven data

let the haircut be x

and hair color be y in numbers.

so

18x+42y=288------------1

x+y=12---------------------2

from 1

x=12-y, put this in 2, we have

18(12-y)+42y=288

216-18y+42y=288

collect like terms

24y=288-216

24y=72

divide both sides by 24

y=72/24

y=3

put y= 3 in 2

x+3= 12

x= 12-3

x=9

Answer:

5 hours

Step-by-step explanation:

217+43+43+43+43+43=432

Answer:

do we need to explain in words or numbers

Step-by-step explanation:

Answer: it’s point c

Step-by-step explanation:

Answer C

Answer:A

Step-by-step explanation:

you just told me but thanks for the points message me if you need more answers

Answer:

4 T- shirts

Step-by-step explanation:

55- 14 = 41

41$ left and each T- shirt is 9$

count by 9s until you reach 41

9, 18, 27, 36 , 45

36 is the highest

Answer:

it has to be 77.7

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

I picked 2. Then got 4. Then 8. Then 9. Then 81. Then 79.(i dont know if this is right)

Answer:

A. x = 8.

B. x = 31.

C. x = 32.

Step-by-step explanation:

Here. the sum of the 2 parallel sides of the trapezoid = 2 * length of the middle line segment.

MN + RS = 2PQ

32+ x = 2*20

x =  40 - 32

x = 8.

MN + RS = 2PQ

20 + 42 = 2PQ

2x =  62

x = 31

MN + RS = 2PQ

22 + 42 = 2PQ

2x =  64

x = 32.

Answer:

120 red marbles

Step-by-step explanation:

5 to 3 gives a total of 8

let x = # red marbles

3 =   x

8     320

8x = 960

x = 120

9514 1404 393

Answer:

Step-by-step explanation:

Subtracting the remainder from the original polynomial gives a polynomial that has (x^2 -1) as a factor. Dividing, we find the quotient and remainder to be ...

  (x^5 +ax^3 +bx^2 +x -1)/(x^2 -1) = (x^3 +(1+a)x +b) remainder (2+a)x +(b -1)

Since we want the remainder to be zero, we require ...

  2+a = 0   ⇒   a = -2

  b -1 = 0   ⇒   b = 1

_____

The attachment shows the division as given in the problem statement (with the given remainder expression).

Answer:

a = -2 and p = 4.

Step-by-step explanation:

x²+2(3x+p)=0

x^2 + 6x + 2p = 0

For the general equation ax^2 + bx + c = 0, the sum of roots = -b/a and their product = c / a.

So here we have:

Sum of the roots:

a + 2a = -6/1 = -6

Product of the roots = 2a^2 = 2p/1 = 2p..

So 3a = -6 and

a = -2.

and

2(-2)^2 = 2p

8 = 2p

p = (-2)^2 = 4.

Answer:

see explanation

Step-by-step explanation:

Since x = a and x = 2a are roots, then substitute these values into the equation.

x = a

a² + 2(3a + p) = 0, that is

a² + 6a + 2p = 0 → (1)

x = 2a

(2a)² + 2(3(2a) + p) = 0

4a² + 12a + 2p = 0 → (2)

Solving simultaneously

Subtract (1) from (2) term by term to eliminate p

3a² + 6a = 0 ← in standard form

3a(a + 2) = 0 ← in factored form

Equate each factor to zero and solve for a

3a = 0 ⇒ a = 0

a + 2 = 0 ⇒ a = - 2

Since a ≠ 0 then a = - 2

Substitute a = - 2 into either of the 2 equations and solve for p

substituting into (1)

(- 2)² + 6(- 2) + 2p = 0

4 - 12 + 2p = 0

- 8 + 2p = 0 ( add 8 to both sides )

2p = 8 ( divide both sides by 2 )

p = 4

Thus a = - 2 and p = 4

--------------------------------------------

a + 1 = - 2 + 1 = - 1

a - 5 = - 2 - 5 = - 7

If x = - 1 and x = - 7 are roots then the corresponding factors are

(x + 1) and (x + 7) and the quadratic equation is the product of the factors, that is

(x + 1)(x + 7) = 0 ← expand left side using FOIL

x² + 8x + 7 = 0

Answer:

(f ￮ g)(8) = - 6

Step-by-step explanation:

Evaluate g(8), then substitute the value obtained into f(n)

g(8) = 8 - 2 = 6 , then

f(6) = - 6

Answer:

-62

Step-by-step explanation:

Two functions are given to us , which are ,

[tex]\bf\implies f(n)= -n \\\\\bf\implies g(n)= n - 2 [/tex]

We need to find , ( f • g )(8) . So ,

⇒ ( f • g) = - n ( n - 2 )

⇒ ( f • g) = -n² + 2

⇒ (f • g) = 2 - n²

==================================

Substituting n = 8 :-

⇒ ( f • g)(n) = 2 - n²

⇒ ( f • g)(8) = 2 - 8²

⇒ (f • g)(8) = 2 - 64

⇒ ( f • g)(8) = -62 .

Answer:

i think d is the correct one

Answer:

It's be 5,11

Step-by-step explanation:

Answer:0.00234

Step-by-step explanation:

Answer:

1.10

Step-by-step explanation:

1 pound and 1/2=1.65

1/3 of 1.65 is 0.55.

1/2 is 0.55

so 1 pound is 0.55 times 2 which is 1.10

please mark as brainliest!!<3

its 12.0

Step-by-step explanation:

Answer:

125 square feet of a yard.

Step-by-step explanation:

So 1 lb of grass seed will fill 25 square feet of yard. Multiply 25 by 5 and get 125.

Answer: [tex]15[/tex] or [tex]\frac{15}{1}[/tex]

Step-by-step explanation:

We need to divide 300 by 20.

We get [tex]15[/tex] or [tex]\frac{15}{1}[/tex].

Answer:150

Step-by-step explanation: if you do 30/2=15 add a zero=150

Answer: I disagree

Step-by-step explanation:

I disagree with the statement from Cristian. When you raise a base number to a power of 3, it is possible for the number to get smaller.

For example, let's say our base number is negative 2, that is -2. Now let's find the cube of the number. This will be:

= -2^3 = -2 × -2 × -2 = -8

In this example, we can see that -8 is smaller than -2. This shows that the statement by Cristian is not correct.

denoted 5

Answer:

25-14+3= 14

25-14=11

11+3=14

Answer:

Step-by-step explanation:

city tax rare, 1%=7.95

7% tax=7.95*7=55.65

total sales tax=55.65+7.95=63.60

9/x = x/9

The answer is =9

Answer:

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