Answer:
The name given to the shaded region would be the positive interval because all f(x) values in that region are positive.
Answer:
He can buy <u>3 bracelets</u>.
Step-by-step explanation:
Given:
Mr. Gonzales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each including tax.
Now, to find the number of bracelets he can buy.
Let the number of bracelets he can buy be 
Price of each bracelets = 4.50.
Total amount to spend = 42.50.
Number of t-shirts = 29.
Now, to get the number of bracelets we put an equation:
<em>Subtracting both sides by 29 we get:</em>
<em />
<em />
<em>Dividing both sides by 4.50 we get:</em>
<u>The number of bracelets = 3.</u>
Therefore, he can buy 3 bracelets.
Since only the first term has ax for coefficients the GCF cant be -3ax^5.
The GCF would be -3a
Factor -3a out of all the terms:
-3a(2x^7)-3a(-4a^5)-3a(a^4)
Now factor -3a out of the equation for the final answer:
-3a(2x^7-4a^5+a^4)
For this case we must find the slope of the following equation:
By definition, the point-slope equation of a line is given by:
Where:
: It is a point through which the line passes
m: It's the slope
So, the slope of the given equation is:
Answer:
Option D
Slope-intercept form:
y=mx+b
m=slope
b=y-intercept
Data of the first line:
m=-5
b=y-intercept=3 (y-intercept=it is the value of "y" when x=0)
y=-5x+3
A line perpendicular to the line y=mx+b will have the following slope:
m`=-1/m
Therefore: the line perpendicular to the line y=-5x+3 will have the following slope:
m´=-1/(-5)=1/5
Point-slope form of a line: we need a point (x₀,y₀) and the slope (m):
y-y₀=m(x-x₀)
We know, the slope (m=1/5) and we have a point (3,2) therefore:
y-y₀=m(x-x₀)
y-2=1/5(x-3) (point-slope form)
y-2=(1/5)x-3/5
y=(1/5)x-3/5+2
y=(1/5)x+7/5 (slope-intercept form)
Answer: the line perpendicular to the first line will be: y=(1/5)x+7/5
