Answer:
-8m
Step-by-step explanation:
Combine like terms
−
−
7
{\color{#c92786}{-m}}{\color{#c92786}{-7m}}
−m−7m
−
8
{\color{#c92786}{-8m}}
−8m
Answer:
answer is
Step-by-step explanation:
Answer:
1. a. 2,000
2. b. 10 years
3. a. 6.72937
4. d. 9%
Step-by-step explanation:
1. If 58% are boys, the percentage of girls is:
= 100 - 58
= 42%
That means 840 is 42% of the students in class. The students in class are therefore:
= 840 / 42%
= 2,000 students
2. If Birr 300 is invested at 6% per year, the amount in interest it earns per year is:
= 300 * 6%
= Birr 18
To get to Birr 180, it would take:
= 180/18
= 10 years
3. When a number is in percentage that means that it is a fraction with the denominator being 100. The number is decimal will therefore be it divided by 100:
= 672.937/100
= 6.72937
4. The investment accrued Birr 12 out of Birr 400 in 4 months. This means that it increased by:
= 12/400
= 3%
A year can be divided into three by 4 months. This means that the yearly rate is therefore:
= 3% * 3
= 9%
Answer:
- top: no solution
- bottom: x = 7
Step-by-step explanation:
I find a graphing calculator very helpful to solving radical equations. It helps avoid extraneous solutions.
<u>top</u>
√(-14x +2) = x -3
-14x +2 = x² -6x +9 . . . . . square both sides
x² +8x +7 = 0 . . . . . . . . . .subtract the left side
Descartes' rule of signs tells you this has no positive real solutions. (There are no sign changes among the coefficients.) The value of the radical will be non-negative, so we must have x-3≥0, or x≥3. Since there are no positive real solutions to the quadratic, there are no values of x≥3 that will satisfy the equation. NO SOLUTION
__
<u>bottom</u>
4√(x -3) = 8 . . . . . given
√(x -3) = 2 . . . . . . divide by 4
x -3 = 4 . . . . . . . . . square both sides
x = 7 . . . . . . . . . . . add 3