<em><u>Question:</u></em>
Geoffrey is evaluating the expression (-3)^3(2^6)/(-3)^5(2^2) as shown below.
(-3)^3(2^6)/(-3)^5(2^2) = (2)^a/(-3)^b = c/d
What are the values of a, b, c, and d?
<em><u>Answer:</u></em>
<em><u>The values are a = 4, b = 2, c = 16, d = 9</u></em>
<em><u>Solution:</u></em>
Given that,
Geoffrey is evaluating the expression
He is evaluating as shown below:
From given,
Use the law of exponent
Therefore,
Thus,
a = 4
b = 2
Simplify further
Thus,
c = 16
d = 9
Thus values are a = 4, b = 2, c = 16, d = 9
Answer:
<u>(2, 3)</u>
Step-by-step explanation:
Given: 4x = −3y + 17 and 3x − 4y = −6
4x = -3y + 17
∴ 4x + 3y = 17 ⇒ (1)
3x − 4y = −6 ⇒ (2)
Multiplying eq.(1) by 4 and eq.(2) by 3
16x + 12y = 68
9x - 12y = -18
Add the last 2 equations, the y terms will be eliminated
16x + 9x = 68 - 18
25x = 50
∴ x = 50/25 = 2
By substitution with x at eq.(1)
4*2 + 3y = 17
8 + 3y = 17
3y = 17 - 8 = 9
∴ y = 9/3 = 3
So, x = 2 and y = 3
<u>The solution to this system of equations is (2,3)</u>
Also see the attached figure which represent the graphical solution for the given system of equations
Answer:
B.
Step-by-step explanation:
Answer:
x= 3/4
Step-by-step explanation:
2(3x - 2) = (2x - 1)
6x - 4 = 2x -1
4x = 3
x= 3/4
Answer:
w < 24
Step-by-step explanation:
19 > w - 5
<=> 19 + 5 > w
<=> w < 24