Answer:
Simplifying
4y + 3 = 5x + -7 + 3x + 17
Reorder the terms:
3 + 4y = 5x + -7 + 3x + 17
Reorder the terms:
3 + 4y = -7 + 17 + 5x + 3x
Combine like terms: -7 + 17 = 10
3 + 4y = 10 + 5x + 3x
Combine like terms: 5x + 3x = 8x
3 + 4y = 10 + 8x
Solving
3 + 4y = 10 + 8x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 4y = 10 + -3 + 8x
Combine like terms: 3 + -3 = 0
0 + 4y = 10 + -3 + 8x
4y = 10 + -3 + 8x
Combine like terms: 10 + -3 = 7
4y = 7 + 8x
Divide each side by '4'.
y = 1.75 + 2x
Simplifying
y = 1.75 + 2x
<h2>
i hope that helps </h2>
Answer:
b. -x^2 + 50 = 25
c. |2x| = 10
d. x < 0
e. 2x < 10
Step-by-step explanation:
x = -5
-(-5)² + 50
-25 + 50 = 25
|2(-5)| = |-10| = 10
-5 < 0
2(-5) = -10 < 10
Answer: y≤0
Step-by-step explanation:
Looking at the question, I'm assuming the equation is
.
To find the range if this equation, it would be best to know that the graph of a square root looks like. Knowing that x=-5, the graph starts at -5 and then increases slowly to the right. Since there are no restrictions to this equation, the graph goes towards infinity.
Answer:
B
Step-by-step explanation:
Givens
a^2 + b^2 = c^2
a = 4x
b = x + 2
c = 3x + 4
Solution
(4x)^2 + (x + 2)^2 = (3x + 4)^3 Remove all the brackets.
16x^2 + x^2 + 4x + 4 = 9x^2 + 24x + 16 Collect like terms on the left
17x^2 + 4x + 4 = 9x^2 + 24x + 16 Subtract the terms on the right
8x^2 - 20x - 12 = 0
This factors into
(4x - 12)(2x + 1)
There are 2 answers
4x - 12 = 0
4x = 12
x = 12/4
x = 3
or
2x + 1 = 0
2x = - 1
x = - 1/2
You have to look at x = -1/2 carefully. The problem is that 4x = 4*(-1/2) = - 2 which is not possible in Euclidean Geometry.
So the only answer is x = 3
Answer:
1/5, 4/5, 5/5
Step-by-step explanation:
1/5 is 20%
4/5 is 80%
5/5 is 100%