Answer:
13 pencils.
Step-by-step explanation:
Let x be the pens and y be the pencils
Given:
Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.
Total pens and pencils is 22
So,
----------------(1)
And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.
------------(2)
solve equation 1 and equation 2 for x and y.
From equation 1.

----------------(3)
put y value in equation 2.







Now substitute x value in equation 3.


So, he buy 13 pencils.
the only statement that is true is the one in option D.
"Bar graphs are used to represent data that is discrete".
<h3>Which of the statements are true regarding dot plots, bar graphs, and histograms?</h3>
Dot plots, bar graphs, and histograms are used to repersent graphically data sets.
Thus, what these graphs do represent are populations in a data set with a given property.
Remember that data is usually discrete, so we usually use dot plots and bar graphs to represent discrete data.
Histograms show distributions of numerical data (it can be used for continuous or discrete data).
With all that in mind, we conclude that the only statement that is true is the one in option D.
"Bar graphs are used to represent data that is discrete".
If you want to learn more about data sets:
brainly.com/question/3514929
#SPJ1
Answer:
b. y = 3(x+2)^2 + 5
Step-by-step explanation:
The vertex form of a parabola is
y = a(x - h)^2 + k where (h, k) is the vertex.
Here h = -2 and k = 5 so the following could be the required equation\;
y = 3(x+2)^2 + 5
For the smaller triangle ;
15^2 + b^2 = 17^2
b = 8
To check the work
15^2 + 8^2 = 289
17^2 = 289
(This is if the bottom number on the smaller triangle says 15, its a bit hard to read..)