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Allushta [10]
3 years ago
7

What does -7x - 5x + 8 = -16 equal?

Mathematics
1 answer:
elena55 [62]3 years ago
3 0

Answer:

x=2

Step-by-step explanation:

combine like terms= -7x -5x = -12x

-12x + 8 = -16

subtract 8 from both sides

-12x = -24

divide both sides by -12

x = 2

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use the graph that shows the averge number of the heartbeats for an active adult brown bear and hibernating brown bear
julia-pushkina [17]
<span>Given the graph that shows the average number of the heartbeats for an active adult brown bear and hibernating brown bear

Part a</span>.
What does the point (2, 120) represent on the graph?

From the graph the x axis represent the time in minutes while the y axis represent the number of heartbeats.

Therefore, point (2, 120) means that it takes an active adult brown bear an average of 2 minutes to have 120 heartbeat.


Part b.
What does the ratio of the y-coordinate to the x-coordinate for each pair of points on the graph represent?

From the graph the x axis represent the time in minutes while the y axis represent the number of heartbeats.

Therefore, the ratio of the y-coordinate to the x-coordinate for each pair of points on the graph represents the average number of heatbeats of an active brown dear and a hibernating brown dear per minute.


Part c.
Use the graph to find the bear’s average heart rate when it is active and when it is hibernating.

The bear's average heart rate is given by the ratio of the y-coordinate to the x-coordinate for each pair of points on the graph.

This can be obtained by taking any two points from the graph and taking the slope.

Recall that the slope of a line is given by
m= \frac{y_2-y_1}{x_2-x_1}

For the average hearbeat of an active brown bear, using the points (1.5, 90) and (2, 120), we calculate the average heat rate as follows:
Average heart rate = \frac{120-90}{2-1.5} = \frac{30}{0.5} =60 \ beats \ per \ minute

Also, for the average hearbeat of a hibernating brown bear, using the points (1.5, 18) and (2, 24), we calculate the average heat rate as follows:
Average heart rate = \frac{24-18}{2-1.5} = \frac{6}{0.5} =12 \ beats \ per \ minute
4 0
4 years ago
What is a number with one or more digits to the right of the decimal point
Flura [38]
.123
.456
.002
.1
.2

any of these will work :) hope this helps!
4 0
3 years ago
Read 2 more answers
An employment agency sells its services to companies for a fixed rate of 2500 plus a commission of 42% of its sales to cover the
Alexus [3.1K]

<span>2500 + .42 X ≥ 8800 </span>

<span /><span><span>X <span>≥</span></span> 15,000</span>

<span /><span>The red circle is closed because the inequality is greater than or equal to 15,000
</span>

8 0
4 years ago
a lawyer has an annual income tax rate of $173,483 and will pay 5.5% income tax rate. what is the amount of income tax in dollar
ANEK [815]

Answer:

The lawyer will have to pay $9541.57 in income tax

Step-by-step explanation:

multiply 173,483 by .055

to get 9,541.57

7 0
3 years ago
Dave drives to work each morning at about the same time. his commute time is normally distributed with a mean of 45 minutes and
Paladinen [302]
The normal distribution curve is shown in the diagram below

<span>The percentage of time that his commute time exceeds 61 minutes is equal to the area under the standard normal curve that lies to the RIGHT of X=61

Standardising X=61 to find z-score
</span>z= \frac{61-45}{5} =3.2
<span>
from the z-table
</span>P(Z\ \textgreater \ 3.2) = 1 - P(Z\ \textless \ 3.2) = 1 - 0.9993 = 0.0007 = 0.07%<span>
</span>

8 0
3 years ago
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