Answer: $128
Step-by-step explanation: So first Bob earned 8 dollars. Then he started earning 10 dollars a day every week for 2 weeks. that would have been 148 dollars (plus the 8 dollars he earned in the beginning), but he took a break once a week, subtracting 20 dollars from his pay, giving him 128 dollars in total.
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Since the four choices have solution, there is no choice that have no solutions. (Correct choice: E)
<h3>What linear equation has no solution?</h3>
Herein we must check each choice to find if a solution exists or not by <em>algebra</em> properties. Now we proceed to check each case:
Choice A
1/(x - 31) = 5
1 = 5 · (x - 31)
1 = 5 · x - 155
5 · x = 156
x = 31.2
Choice B
12 · x - 11 = 0
12 · x = 11
x = 11/12
Choice C
15 - 3 · x = - 8
3 · x = 23
x = 23/3
Choice D
- x + 91 = 0
x = 91
Since the four choices have solution, there is no choice that have no solutions. (Correct choice: E)
<h3>Remark</h3>
The statement presents typing mistakes and is incomplete. Correct form is shown below:
<em>Which equation has no solution?</em>
<em>A. 1/(x- 31) = 5</em>
<em>B. 12 · x - 11 = 0</em>
<em>C. 15 - 3 · x = - 8</em>
<em>D. - x + 91 = 0</em>
<em>E. Neither of all</em>
To learn more on linear functions: brainly.com/question/21107621
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<span>254.469
I googled this
</span>
Answer:
i. false
ii. true
iii. true
iv. false
When comparing negative numbers, if you disregard the negative sign, the apparent greater value will actually be the smaller.
(4). If we break down this piecewise function, we have 3 main expressions to deal with, 'h(x) = 5 if {x ≥ 4}' (represented by the green graph) 'h(x) = x if {0 ≤ x ≤ 4}' (represented by the blue graph) and 'h(x) = 1 / 2x + 2 if {x < 0}' (represented by the red graph).
Take a look at the attachment below for your graph of these 3 functions / expressions.
(5). For this part we want to determine the average rate of change of the function f(x) = 4x² - 5x - 8 over the interval [- 2,3]. Remember that to calculate average rate of change between the 2 points we use the following formula...
f(b) - f(a) / b - a,
f(3) = 4(3)² - 5(3) - 8 = 4(9) - 15 - 8 = 36 - 15 - 8 = 13,
f(- 2) = 4(- 2)² - 5(- 2) - 8 = 4(4) + 10 - 8 = 16 + 10 - 8 = 18
13 - 18 / 3 - (- 2) = - 5 / 5 = - 1
Therefore the average rate of change of the function f(x) = 4x² - 5x - 8 over the interval [- 2,3] will be - 1.