Answer:
Step-by-step explanation:
- log 2x + log (x - 5) = 2
- log (2x(x - 5)) = 2
- 2x(x - 5) = 10²
- 2(x² - 5x) = 100
- x² - 5x - 50 = 0
- x² + 5x - 10x - 50 = 0
- x(x + 5) - 10(x + 5) = 0
- (x - 10)(x + 5) = 0
- x = 10
- x = -5, this root is discounted as log should be positive.
Correct choice is 3.
3.
8÷1/3 is 24. 8×3 = 24. Hope I helped!
(2n2<span> - 7n) + 6 = 0
</span>n2" <span> was replaced by </span><span> "n^2".
</span><span>(n - 2) • (2n - 3) = 0
</span>n-2 = 0<span>
</span><span>n = 2</span>
Answer:39/4
Step-by-step explanation: What I'd do first is set the question up as an ordered pair, for example (x,y) have the uniforms be represented by x and the cost be represented by y. We know that the cost of five uniforms is $66, so we can substitute (x,y) into (5,66). We can then do the same for nine uniforms which is 105 (9,105). The equation we are going to use to find the slope is y2-y1/x2-x1 = 105-66/9-5.
This should result in 39/4. Make sure to always simplify when needed, in this case we don't have to.
Hope this helped.
Answer: Luis’s first step was incorrect, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
Given: Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.
If Luis started by subtracting 4.8b from both sides ,then he would get
7.2b + 6.5 - 4.8b> 4.8b – 8.1- 4.8b
⇒2.4b + 6.5 > – 8.1. But he wrote 2.4b + 6.5 < – 8.1 by flipping the inequality sign which was not correct .
The sign of inequality get flipped if we multiply or divide a negative numbers to the both sides .
Therefore, Luis’s first step was incorrect, because he flipped the inequality sign when he subtracted.
