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2 years ago

12

F(x)=x2−x−1f, left parenthesis, x, right parenthesis, equals, x, squared, minus, x, minus, 1 What is the average rate of change

of fffover the interval -1\leq x\leq 1−1≤x≤1minus, 1, is less than or equal to, x, is less than or equal to, 1?

1 answer:

Alexandra [31]2 years ago

5 0

Answer: The average rate of change = -1

Step-by-step explanation: Please find the attached file for the solution

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A hospital cafeteria has 20 tables. 65% of the tables have 6 chairs at each table. The remaining 35% of the tables have 4 chairs

rosijanka [135]

Total number of tables in the cafeteria = 20

65% of the tables = $\frac{65}{100} (20)$

$=\frac{13}{20}(20)$

= 13

Each table has 6 chairs.

So, total number of chairs that 65% of the tables have = 13 × 6 = 78.

35% of the tables = $\frac{35}{100} (20)$

$=\frac{7}{20} (20)$

= 7

Each table has 4 chairs.

So, total number of chairs that the remaining 35% of the tables have = 7 × 4 = 28.

Hence, total number of chairs in the hospital cafeteria = 78 + 28 = 106.

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1 year ago

Labrador Retriever weighs 48 kg after a diet and exercise program the dog weighs 43 kilograms to determine if this shows a perce

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Answer:

percentage change in weight ≈ 10%

Step-by-step explanation:

The dog weighed 48 kg after a diet and after an exercise program the dog had a weight of 43 kg. This means the dog loss weight since the dog weight decreased from an initial value of 48 kg to 43 kg. The decrease in weight can be calculate as

decrease in weight = original weight - new weight

original weight = 48 kg

new weight = 43 kg

decrease in weight = 48 - 43 = 5 kg

Since the weight decrease their will be a percentage decrease in weight.

% decrease = decrease in weight/original weight × 100

% decrease = 5/48 × 100

% decrease = 500/48

% decrease = 10. 42666666667

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1 year ago

WILL GIVE BRAINLIEST. Joanna saves nickels and quarters in a jar. If she saved five times as many nickels as quarters, and her c

vekshin1

Answer:

78 quarters

Step-by-step explanation:

I think because, I created an equation, 5x = 390 and solves to get 78

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2 years ago

You plan to accumulate 100,000 at the end of 42 years by making the follow-

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Answer:

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Step-by-step explanation:

At the end of year 14, the balance from the deposits of X can be found using the annuity due formula:

A = P(1+r/n)((1 +r/n)^(nt) -1)/(r/n)

where P is the periodic payment, n is the number of payments and compoundings per year, t is the number of years, and r is the annual interest rate.

A = X(1.07)(1.07^14 -1)/0.07 ≈ 24.129022X

This accumulated amount continues to earn interest for the next 28 years, so will further be multiplied by 1.07^28. Then the final balance due to deposits of X will be ...

Ax = (24.129022X)(1.07^28) = 160.429967X

__

The same annuity due formula can be used for the deposits of Y for the last 10 years of the interval:

Ay = Y(1.07)(1.07^10 -1)/.07 = 14.783599Y

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Now we can write the two equations in the two unknowns:

Ax +Ay = 100,000

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From the latter, we have ...

X = Y +100

So the first equation becomes ...

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1 year ago

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Answer:

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