Since x=-3y+5, substitute x for -3y+5.
2(-3y+5)+8y=4
Distribute.
-6y+10+8y= 4
2y+10= 4
Subtract 10 on both sides.
2y=-6
Divide by 2.
y=-3
Plug in y=-3.
x=-3(-3)+5
x= 9+5
x=14
(14,-3)
We can check this.
2(14)+8(-3)=4
28-24=4
4=4 <== this works
I hope this helps!
~kaikers
Answer:

Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
In the right triangle ABC
----> by SOH (opposite side divided by the hypotenuse)
substitute the given values


Answer:
20%
Step-by-step explanation:
Not sure if this is exactly correct, but let's say we start with 1 unit. If it increased by 25%, we get:
1 × 1.25 = 1.25 units.
Now, to get back to 1 unit, we need to find:
1.25 × ? = 1
? =
= 0.80
So, 100% - 80 % = 20%
A 20% decrease.
Not completely sure though.
Answer:
U = 5
S = 4
1.) P(X>x) = 0.5
Prob = 1-0.5 = 0.5
We have z = 0, that is the z score with the probability of 0.5
X = u + z(s)
= 5+0*4
= 5
2.) 1-0.95 = 0.05
Z score having this probability
Z = -1.64
X = 5-1.64*4
= 5-6.56
= -1.56
3.) P(z<1.0) - p(X<x) = 0.2
0.841345-0.2 = .641345
We find the z score given this probability
Z= 0.36
X = 5+0.36*4
= 5+1.44
= 6.44
4.) P(X<x)-P(Z<-.5)
0.95 = p(X<x)-0.308538
p(X<x) = 0.308538 + 0.95
= 1.258538
There is no x value here, given that the probability is more than 1.
5. 1-0.99/2 = 0.005
We get the z score value
= -2.58
U - 5 = 5-5 = 0
-x = 0-2.58(4)
X = 10.32
The transformation that shifts a function along the

is

, which shifts the function to the left, and

, which shifts the function to the right.
The transformation that shifts a function along the

is

, which shifts the function up, and

, which shifts the function down
Hence, the correct answer is D: