Answer:
-1
Step-by-step explanation:
1-2k=-3k
1-2k+2k=-3k+2k
1=-1k
1/-1=-1k/-1
-1=k
Answer:
Part A) x = -3
Part B) x = 1, x = -7
Part C) x < -7
Part D) 2
Step-by-step explanation:
<h3>Part A)</h3>
2(x - 3) = 3x - 3
<em>open the parenthesis</em>
2 * x - 2 * 3 = 3x - 3
2x - 6 = 3x - 3
<em>subtract 2x from both sides</em>
2x - 2x - 6 = 3x - 2x - 3
-6 = x - 3
<em>add 3 to both sides</em>
-6 + 3 = x
-3 = x
<h3>
Part B)</h3>
|2x + 6| = 8
<em>split this into two equations:</em>
<em>2x + 6 = 8</em>
<em>&</em>
<em>2x + 6 = -8</em>
2x + 6 = 8
2x = 8-6
2x = 2
x = 1
2x + 6 = -8
2x = -8 - 6
2x = -14
x = -7
<h3>Part C)</h3>
-5(x + 1) > 30
<em>open the parenthesis</em>
-5x - 5 > 30
<em>add 5 to both sides</em>
-5x > 35
<em>divide both sides by -5</em>
x > -7
<em>since you divided by a negative, flip the sign.</em>
x < -7
<h3>
Part D)</h3>
f(x) = 4x - 3
<em>substitute x for 5</em>
5 = 4x - 3
5 + 3 = 4x
8 = 4x
2 = x
Answer:
Step-by-step explanation:
First, you must find the actual decrease in temperature.
Decrease = Yesterday's temperature - Today's temperature
Decrease = 80 - 75
Decrease = 5 degrees
Now, find the percentage decrease.
% Decrease = Actual decrease / Yesterday's temperature x 100
% Decrease = 5/80 x 100
% Decrease = 0.0625 x 100
% Decrease = 6.25 %
So, the percent decrease in high temperature from yesterday to today is 6.25%
Answer:
d
Step-by-step explanation:
Answer:
65 miles
Step-by-step explanation:
using the Pythagorean theorem:
56²+ 33² = d²
d² = 4225
d = 65 miles
