y < - 8 or y > 4
inequalities of the form | x | > a always have solutions of the form
x < - a or x > a
we have to solve
y + 2 < - 6 or y + 2 > 6
y + 2 < - 6 ( subtract 2 from both sides )
y < - 8
or
y + 2 > 6 ( subtract 2 from both sides )
y > 4
these can be combined using interval notation
y ∈ (- ∞, - 8 ) ∪ (4, ∞ )
As a check
substitute chosen values of x from each interval
y = - 10 : | - 10 + 2 | = | - 8 | = 8 > 6 this is true
y = 12 : | 12 + 2 | = | 14 | = 14 > 6 which is also true
Answer:
D. 10
Step-by-step explanation:
If he hits 8 swings every 24 swings, that gives you a ratio of 1 hit:3 swings. Using this ratio, you can take the 8 hits he already has, and add them on the 6 extra swings he did to get 30 swings. Using the ratio, he hits 2 more, and 8+2=10, so D.
Answer:
-3
Step-by-step explanation:
ur welcome :)))))
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to

where
a is a coefficient
(h,k) is the vertex
In this problem we have
(h,k)=(1,-4)
substitute

we have
An x-intercept of (-1,0)
substitute and solve for a




The equation is

<u><em>Verify the y-intercept</em></u>
For x=0


The y-intercept is the point (0,-3) -----> is correct
using a graphing tool
see the attached figure
Answer:
x = 7
Step-by-step explanation: