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just olya [345]
3 years ago
10

D'John saves $8 per week. Arthur saves 4 times the amount D'John saves in the same week. Write an equation that shows how to fin

d the amount "a" Arthur saves. Then solve the equation
Mathematics
1 answer:
maw [93]3 years ago
7 0
The variable 'a' represents how much Arthur saves. Because D'John saves $8 per week (7 days), he saves $56. Arthur saves four times more than D'John so $56*4 equals Arthur's total savings for the week; $224. a=$8(7)*4 a=$56*4 a=$224
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A. Plot the data for the functions f(x) and g(x) on a grid and connect the points.
labwork [276]

Answer:

  a) see the plots below

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Step-by-step explanation:

a) a graph of the two function values is attached

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b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).

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c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.

In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.

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3 years ago
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Using long devision

Step-by-step explanation:

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At the farm, Justin picks 3 bushels of fruits. The bushels weigh 8 1/4 pounds, 6 1/2 pounds, and 6 5/8 pounds. What is the avera
blondinia [14]
ANSWER

Average \: Weight =  7 \frac{1}{8}  \: bushels


EXPLANATION

To find the average weight per bushel, we add all the three weight and divide by 3.


Average \: Weight =  \frac{8 \frac{1}{4}  + 6 \frac{1}{2} + 6 \frac{5}{8}  }{3}


We convert all the mixed numbers to improper fraction to obtain,


Average \: Weight =  \frac{ \frac{33}{4}  +  \frac{13}{2} + \frac{53}{8}  }{3}


The least common denominator for the fractions in the numerator is 8.


This implies that,

Average \: Weight =  \frac{ \frac{66 + 52 + 53}{8} }{3}

This simplifies to


Average \: Weight =  \frac{ \frac{171}{8} }{3}


This gives us,

Average \: Weight =   \frac{171}{24}



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Average \: Weight =  7 \frac{1}{8}

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