Answer:
x = 2
Step-by-step explanation:
<u>Step 1: Set 3x - 2 equal to 5x - 6 to get x</u>
3x - 2 = 5x - 6
<u>Step 2: Solve for x</u>
3x - 2 + 6 - 3x = 5x - 6 + 6 - 3x
4 / 2 = 2x / 2
2 = x
Answer: x = 2
Answer:
x <= 0 or 1 = < x <= 5.
Step-by-step explanation:
First we find the critical points:
x(x - 1)(x - 5) = 0
gives x = 0, x = 1 and x = 5.
Construct a Table of values:
<u> x < 0 </u> <u>x = 0 </u> 0<u>< x < 1</u> <u>1 =< x <= 5</u> <u>x = 5</u>
x <0 0 >0 <0 0
x - 1 <0 -1 >0 <0 0
x - 5 < 0 0 > 0 <0 0
x(x-1)(x-5) < 0 0 >0 <0 0
So the answers are x =< 0 or 1 =< x <= 5.
Answer:
14
Step-by-step explanation:
Replace with the values
15-1/2(2) = 15-1 = 14
Answer:
<em>The base of the triangle = 9inches</em>
Step-by-step explanation:
<u>Explanation</u>:-
The area of the triangle = 
square units
Given area of the triangle(A) = 54 square inches
Given the height of the triangle (h) = 12 inches
now equating 
now simplification, we get
6 b = 54
Dividing '6' on both sides, we get
b = 9
The base of the triangle = 9 inches
<u>Conclusion</u>:-
<em>The base of the triangle = 9 inches</em>
Answer:
18
Step-by-step explanation:
Sum the parts of the ratio, 3 + 4 = 7
Divide the amount of marbles by 7 to find the value of one part of the ratio
42 ÷ 7 = 6 ← value of 1 part of the ratio, thus
red marbles = 3 × 6 = 18
