Answer:
B) =−7j−k−1
Step-by-step explanation:
10k+17-7j-18-11k what we have
=(−7j)+(10k+−11k)+(17+−18) combine like terms
=−7j−k−1
8x + 6 = 2 (4x + 3)
Since it's divisible by two
A, D, E, F all have a y-intercept of -8
<h3>
Answer: The two numbers are -16 and -2</h3>
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Explanation:
To find this answer, you use guess and check as one approach. We can see that:
-16 plus -2 = -18
-16 times -2 = 32
Confirming the answer
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Another approach is to use the quadratic formula to solve this equation
x^2 - 18x + 32 = 0
note how -18 is the middle coefficient and 32 is the last term
When you solve for x, you should get the two solutions x = 16 and x = 2 as the two roots
Turn x = 16 into x-16 = 0 by subtracting 16 from both sides
Turn x = 2 into x-2 = 0 following the same basic idea
So we have the two equations x-16 = 0 and x-2 = 0
which combine to get (x-16)(x-2) = 0 through the zero product property
thus showing that the two numbers are -16 and -2
Answer:
Their total budget last year = $44,000
Step-by-step explanation:
Let last year's budget be x
let total budget this year be y
we are given the following information
y = 1000 + x - - - (1) (Their total budget this year is $1,000 more than last year)
7% of y = $3,150
7/100 × y = 3,150
0.07y = 3,150
y = 3,150 ÷ 0.07 = $45,000
Therefore, budget this year = $45,000
from equation 1
y = 1000 + x - - - (1)
∴ x = y - 1000
x = 45,000 - 1000 = $44,000
Therefore their total budget last year = $44,000