Helppp pleasseeee guys

Answer:

2?

Step-by-step explanation:

The quotient function for this problem is given as follows:

(f/g)(x) = (x + 2)/(2x² + 4x - 5)

The functions f(x) and g(x) have the definitions presented as follows:

To obtain the quotient of the two functions, we simply divided the definition of the function f(x) by the definition of the function g(x).

Both functions are defined on the bullet point, hence the quotient function for this problem is given as follows:

(f/g)(x) = (x + 2)/(2x² + 4x - 5)

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The correct order of the functions from least to greatest is g(x), f(x) and h(x).

The given function is f(x)=(x+3)²-2.

g(x) linear graph with y-intercept = c = -3/2 and x-intercept = 3

f (x) = (x + 3)² - 2

For x = -1

f (-1) = (-1 + 3)² - 2

f (-1) = (2)² - 2

f (-1) = 4 - 2

f (-1) = 2

For x = 3

f(3) = (3 + 3)² - 2

f(3) = (6)² - 2

f(3) = 36 - 2

f(3) = 34

AVR = ((34) - (2))/((3) - (- 1))

AVR = 8

For g(x):

linear graph with and intercept of negative 3 over 2 and x intercept of 3

y = mx + b

b = -3/2

For me we have:

0 = m (3) - 3/2

3m = 3/2

m = 1/2

The function g(x) is:

g (x) = (1/2) x - 3/2

For x = -1

g (-1) = (1/2) (- 1) - 3/2

g (-1) = -1/2 - 3/2

g (-1) = -4/2

g (-1) = -2

For x = 3

g (3) = (1/2) (3) - 3/2

g (3) = 3/2 - 3/2

g (3) = 0

AVR = ((0) - (- 2)) / ((3) - (- 1))

AVR = 1/2

For h(x):

Using the table we have:

AVR = ((62) - (14)) / ((3) - (- 1))

AVR = 12

From least to greatest g(x), f(x), h(x)

Therefore, the correct order of the functions from least to greatest is g(x), f(x) and h(x).

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Answer: B. (12, 7)

Step-by-step explanation: If we substitute the x values in the equation the answer has to equal the y value of the coordinate. If we substitute 12 for the x we get y = 3. So answer B is the coordinate not represented by the student's graph.

Using a system of equations, the investments in each account are as follows:

Maricopa Success invested $80,000 in stocks.

Maricopa Success invested $75,000 in bonds.

Maricopa Success invested $40,000 in CDs.

A system of equations is two or more equations solved simultaneously, concurrently, or at the same time.

The total scholarship fund received = $195,000

The earnings from the investments:

Stocks = 10.1% = 0.101

Bonds = 4.8% = 0.048

CDs = 4.75% = 0.0475

Let the amount invested in CDs = x

Let the amount invested in Bonds = x + 35,000

Let the amount invested in stocks = y

The annual income from the investments = $13,580

x + x + 35,000 + y = 195,000

2x + 35,000 + y = 195,000

2x + y = 160,000 ... Equation 1

0.101y + 0.048x + 1,680 + 0.0475x = 13,580

0.0955x + 0.101y = 11,900 ... Equation 2

Multiply Equation 1 by 0.101:

0.202x + 0.101y = 16,160 ... Equation 3

Subtract Equation 2 from Equation 3:

0.202x + 0.101y = 16,160

-

0.0955x + 0.101y = 11,900

0.1065x = 4,260

x = 40,000

Substitute x = 40,000 in Equation 1:

2x + y = 160,000

2(40,000) + y = 160,000

80,000 + y = 160,000

y = 80,000

Investment in CDs = $40,000

Investment in Bonds = $75,000 ($40,000 + $35,000)

Investment in Stocks = $80,000

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We need to use the first part of the function, we can see that:

f(-3) = 0

The correct option is the third one.

Here we have a piecewise function. It means that the function behaves differently on different parts of its domain.

Here we want to evalaute the function in x = -3, so we need to find which of the parts of the function we need to use.

We can see that:

f(x) =x + 3 if x ≤ 0

and -3 is smaller than zer, so we need to use this one.

Then:

f(-3) = -3 + 3 = 0

The correct option is the third one.

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The complete polynomial is f(x) = 2x³ + 15x² - 6 if n = 3 and a = 15

Given is polynomial f(x) = 2xⁿ + ax² - 6, when divided by (x+3), the remainder is 129,

Calculating the values of a and n :-

From the question, we have the following parameters that can be used in our computation:

f(x) = 2xⁿ + ax² - 6 is divided by (x+3), the remainder is 129

This means that,

f(-3) = 129

So, we have

f(-3) = 2(-3)ⁿ + a(-3)² - 6

f(-3) = 2(-3)ⁿ + 9a - 6

2(-3)ⁿ + 9a - 6 = 129

2(-3)ⁿ + 9a = 135

Assume n = 3

So, we have

2(-3)³ + 9a = 135

2/27 + 9a = 135

9a = 135 - 2/27

9a = 3643/27

a = 3643/243

a = 15

Therefore,

n = 3 and a = 15

So, the complete polynomial is f(x) = 2x³ + 15x² - 6

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The farthest gold dust strike is 76 miles away from the gold vein.

The formula of the distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by:

d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ²

As per the question, we have to find the distance between the gold vein at (-2, 7) and the farthest gold dust strike at (74, 7).

Substituting the values into the distance formula, we have:

d = √((74 - (-2))² + (7 - 7)²)

d = √(76²)

d = 76

Therefore, the farthest gold dust strike is 76 miles away from the gold vein.

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Answer: 165 ft squared

Step-by-step explanation:

1. First find the area of the bottom face (you don’t need to divide by two because the other triangle makes the one on the bottom a full rectangle.)

10x4.5=45

2. Find area of face facing you. (The lateral one, rectangle face)

10x5=50

3. Find area of left and right lateral faces (its at the back)

6x5=30

8x5=40

4. Add all answers to get total surface area

40+30+50+45=165

5.Add unit and then celebrate because you did it!

165 ft squared

Hope this helps!

Answer:

48.75

Step-by-step explanation:

call highest H and lowest L

H = L + 40.5

sum of them = 138

H + L = 138

(L + 40.5) + L = 138

2L + 40.5 = 138

2L = 138 - 40.5 = 97.5

L = 48.75