The following stem-and-leaf plot represents the scores earned by Mr. Wood's class on their most recent science test.

1 11 f(x) = 2x² – 7x - 1 g(x) = 4x + 5 Find: go f(8)

Snezhnost [94]

Answer: 71

Step-by-step explanation:

F(8)= 2(8)^2-7(8)-1

=71

6 0

2 years ago

Identify the rate of change of the function.

kati45 [8]

67Answer:67

Step-by-step explanation:

5 0

2 years ago

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You are considering a stock investment in one of two firms (Lotsof Debt, Inc. and LotsofEquity, Inc.), both of which operate in

saveliy_v [14]

Answer:

LotsofDebt, Inc Debt Ratio is 93.75%

LotsofEquity, Inc Debt Ratio is 6.25%

equity multiplier LotsofDebt, Inc is 16

equity multiplier LotsofEquity, Inc is 1.0666666667

debt-to-equity LotsofDebt, Inc is $15 million

debt-to-equity LotsofEquity, Inc. is $0.0666666667 million

Step-by-step explanation:

In order to calculate the debt ratio of LotsofDebt, Inc and LotsofEquity, Inc. we would have to make the following calculations:

Debt Ratio = Debt/Assets

According to the given data we have the following:

LotsofDebt, Inc Debt=$30 million

LotsofDebt, Inc Asset=Debt + Equity = $30 million + $2 million = $32 million

Therefore, LotsofDebt, Inc Debt Ratio =$30 million/$ 32 million

LotsofDebt, Inc Debt Ratio= 93.75%

LotsofEquity, Inc. Debt=$2 million

LotsofEquity, Inc Asset= Debt + Equity = $2 million + $30 million

LotsofEquity, Inc Debt Ratio = $2 million/$32 million

LotsofEquity, Inc Debt Ratio = 6.25%

In order to calculate the equity multiplier of LotsofDebt, Inc and LotsofEquity, Inc. we would have to make the following calculations:

equity multiplier =Assets/Equity

equity multiplier LotsofDebt, Inc.=$32 million/$2 million

equity multiplier LotsofDebt, Inc= 16

equity multiplier LotsofEquity, Inc=$32 million/$30 million

equity multiplier LotsofEquity, Inc = 1.0666666667

In order to calculate the debt-to-equity of LotsofDebt, Inc and LotsofEquity, Inc. we would have to make the following calculations:

debt-to-equity LotsofDebt, Inc=Debt/Equity

debt-to-equity LotsofDebt, Inc=$30 million/$2 million

debt-to-equity LotsofDebt, Inc= $15 million

debt-to-equity LotsofEquity, Inc.= $2 million/$30 million = 0.0666666667

debt-to-equity LotsofEquity, Inc.= $0.0666666667 million

7 0

2 years ago

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Nady [450]

Answer:

<QPS and <TSU

4 0

2 years ago

The graph of the function P(x) = −0.34x2 + 12x + 62 is shown. The function models the profits, P, in thousands of dollars for a

STatiana [176]

Answer:

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Step-by-step explanation:

The options of the question are

−4.57 ≤ x ≤ 39.87

1.12 ≤ x ≤ 34.18

−4.57 ≤ x ≤ 1.12 and 34.18 ≤ x ≤ 39.87

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Let

x ----> is the number of tires produced, in thousands

C(x) ---> the production cost, in thousands of dollars

we have

$C(x)=-0.34x^{2} +12x+62$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The graph in the attached figure

we know that

Looking at the graph

For the interval [0,1.12) -----> $0\leq x$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

For the interval (34.18,39.87] -----> $34.18 < x\leq 39.87$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

Remember that the variable x (number of tires) cannot be a negative number

therefore

If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

3 0

2 years ago

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