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IgorC [24]
3 years ago
7

If f(1) = 12 and f(4) = -3, find the average rate of change off from 1 to 4.

Mathematics
1 answer:
sergey [27]3 years ago
6 0

Compute the difference quotient:

(<em>f</em> (4) - <em>f</em> (1)) / (4 - 1) = (-3 - 12) / 3 = -15/3 = -5

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It is estimated that the total time Americans will spend on taxes this year is 7.8 billion hours! According to the White House b
irina1246 [14]

Answer:

4.875 billion hours

Step-by-step explanation:

-Let X be the total time spent on taxes and 7.8 billion (80%) is time on paper work.

#We equate and cross multiply to get the total time on taxes:

0.8=7.8\\1=X\\\\\therefore X=\frac{1\times 7.8}{0.8}\\\\\\=9.75

-let y be the 50% amount of time spent. we equate to find it in actual hours:

1=9.75\\0.5=y\\\\y=\frac{9.75\times 0.5}{1}\\\\=4.875

Hence, 50% of the time is equivalent to 4.875 billion hours

4 0
3 years ago
PLEASE HELP <br> Match each expression to the scenario it represents
joja [24]

Answer:

i)

0.79m

ii)

1.21m

iii)

7/5m

iv)

3/5m

Step-by-step explanation:

i)

The price of a USB memory stick selling at a 21% discount off its marked price (m)

The marked price m represents 100% of the value of the USB memory stick. Offering a 21% discount off the marked price will mean that the USB will be selling at;

(100 - 21)% of the marked price m

=79% of m

= (79/100)*m

= 0.79m

ii)

The price of a CD that sells for 21% more than the amount (m) needed to manufacture the CD.

The amount (m) needed to manufacture the CD would represent 100% of the value of the CD. Selling the CD for 21% more than the amount (m) needed to manufacture the CD will imply that the selling price is;

(100+21)% of m

= 121% of m

= (121/100)*m

= 1.21m

iii)

The final value of a painting after its initial value, m, increases by 2/5.

The initial value of the painting is given as m. The value of the painting is said to increase by 2/5 which means that the increase in its value would be;

2/5 of m

=2/5 * m

=2/5m

The final value of the painting will thus be;

initial value + increase in value

=m + 2/5m

= m(1+2/5)

=7/5m

iv)

The total number of markers that Nancy has if she gives away 2/5 of her m markers to Amy.

Initially, Nancy had a total of m markers. By giving away 2/5 of her markers to Amy, her markers reduced by;

2/5 of m

=2/5*m

=2/5m

The new number of her markers will be given by;

initial numbers - total given to Amy

= m - (2/5m)

= m(1 - 2/5)

=m(3/5)

=3/5m

5 0
3 years ago
N/8 = 11/40<br>What is the value of n?<br><br>A: 5/11<br>B: 11/5<br>C: 3<br>D: 5​
sesenic [268]

Answer:

B: 11/5

Step-by-step explanation:

40 divided by 8 equals 5 so divide 11 by 5 which equals n.

7 0
3 years ago
Solve the radical equation 3/(√x+3)=1.Be sure to check for extraneous solutions.
jeka94

Answer:

The solution to the equation is x = 0.

Step-by-step explanation:

Hi there!

First, let´s write the equation:

3/(√x+3)=1

To solve the equation, let´s start multiplying both sides by (√x+3)

3 = √x+3

subtract 3 to both sides of the equation

0 = √x

0 = x

Now, let´s check the solution:

3/(√x+3)=1

x = 0

3/(√0 + 3) = 1

3/3 = 1

1 = 1

Then, x = 0 is the solution to the equation.

4 0
3 years ago
What is an easier way to solve algebraic expressions?
Alecsey [184]
Remove parentheses by multiplying factors.use exponent rules to remove parentheses in terms with exponents.combine like terms by adding coefficients.combine the constants
3 0
3 years ago
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