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Varvara68 [4.7K]
2 years ago
7

Use the distributive property to solve the equation -2(x+5) =4

Mathematics
1 answer:
LekaFEV [45]2 years ago
3 0
-2x-10=4
add 10 to both sides
-2x=14
x=-7
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Sveta_85 [38]
895 times. division!
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PLEASE HELP Solve |10x + 15| >= 105
yan [13]
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|2x+3|\geq21\\
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3 years ago
Given the following linear function sketch the graph of the function and find the domain and range f(x)=-3x+7
natka813 [3]
<h3>Answer:</h3>

see attached for a graph

domain and range: all real numbers

<h3>Step-by-step explanation:</h3>

The function is written in slope-intercept form, showing that it has a slope of -3 and a y-intercept of +7. The y-intercept (0, 7) is a point on the line, as is a point 1 unit to the right and down 3 units, (1, 4).

The graph will be the line through these two points.

_____

As with any odd-degree polynomial function, both domain and range are all real numbers: (-∞, ∞).

6 0
3 years ago
Michael earns $900 per month, plus 5% commission on all his sales over $750. what is the minimum amount of sales Michael must ha
Alina [70]
<h3>The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000</h3>

<em><u>Solution:</u></em>

<em><u>The expression to Michael earnings is:</u></em>

b + (c \times s)

Where,

b is the base salary, which is $ 900 in this sum

c is the commission rate

Given that commission rate is 5%

s is the sales

Michael must have to earn at least $2500 in a month

Here, at least means, "greater than or equal to" 2500

The inequality is framed as:

base salary + 5 % on sales \geq 2500

900 + \frac{5}{100} \times s \geq 2500\\\\\ 900 + 0.05s\geq 2500

Solve the inequality

0.05s\geq 2500-900\\\\0.05s \geq  1600\\\\Divide\ both\ sides\ by\ 0.05\\\\s\geq 32000

Thus, minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

8 0
3 years ago
100 points, I need help fast!
ivolga24 [154]

a. The standard error is equal to the standard deviation divided by the square root of the sample size:

SE = (23 ppm)/√18 ≈ 5.42 ppm

b. The t statistic is given by the difference between the true and sample means, divided by the standard error:

t = (192 ppm - 180 ppm)/SE ≈ 2.21

c. The p-value is approximately 0.0204.

d. Since p < 0.05, the difference is significantly different, so we reject the null hypothesis.

e. A type I error might have occurred, since it's possible that the null hypothesis was true, but we ended up rejecting it.

4 0
2 years ago
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