Number 16- 216
number 17- 180
number 18- 252
absolute value graph looks like a V, with the vertex at the origin.
1. the domain (x-values) is: (∞, ∞) TRUE
2. the range (y-values) starts at the vertex: [0, ∞) FALSE
3. the function decreases when left of vertex and increases when right of vertex: decreases (-∞, 0) TRUE
4. f(x) = |x| = +/-x
f(-x) = |-x| = +/-x
f(x) = f(-x) so the function is even TRUE
5. every x-value has a corresponding y-value (there are no gaps) so the function is continuous. TRUE
Answers: 1, 3, 4, 5
If there are 18 students every one of the will pair up with 17 other students throughout the year so the total amount of pairs that can be made is 18x17=306 but since it’s not important if student A is paired with student B or student B with student A we should divide the total amount of pairs by two- 306:2=153 so in total there will be 153 projects finished
Hey there!
Let's look at our graph here. It is a 4 x 8 chart, which means there are 32 total squares. 12 of these squares are highlighted in black. This gives us 12/32, which is equal to 3/8. Therefore, we can eliminate answer D as an option.
Now, we are looking for a percent of a fraction. Usually when you draw a chart that represents multiplying fractions, the bars will overlap. We do see 5 gray squares, but if that is all, this chart would not really represent anything. Let's say it goes all the way across the top, giving us 8 gray squares, 3 of them also being black.
This means we have 8/32, or 1/4 as our other fraction. As we said before, 3 of these squares are both black and gray. This is 3/32, so the answer to our problem has to be 1/12.
We have fractions 3/8 and 1/4.
Therefore, our answer is H.
I hope this helps!
Answer:
D and C
Step-by-step explanation:
Given the 2 equations
3x - y = 5 → (1)
2x + 3y = - 15 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate the y- term
9x - 3y = 15 → (3)
Add (2) and (3) term by term to eliminate y
11x + 0 = 0
11x = 0 ⇒ x = 0
Substitute x = 0 into either of the 2 equations and solve for y
Substituting into (2)
2(0) + 3y = - 15
0 + 3y = - 15
3y = - 15 ( divide both sides by 3 )
y = - 5
solution is (0, - 5 )
