Answer:
g(x) = log(x+1) + 4
Step-by-step explanation:
If a curve has been translated (shifted or slid) you can add to or subtract from the x to show horizontal (left or right) shifts and add or subtract a number tacked onto the end of the equation to cause the vertical shift (up or down).
The curve for g(x) is shifted left 1 unit. So change the x to x+1. Left and right shifts are a little backwards from what you might think. But left shift is a +1.
Vertical shifts adjust the way you would think they should. UP shift 4 units is a +4 on the end of the equation. See image.
Answer: A= 34
B= 25
C= -30
D= -25
E= -1.3
F= 0.6 repeating or rounded to the nearest tenth place 0.7
Hope this helps!
Step-by-step explanation:
For this case we have that by definition the mass is given by:
Where,
- <em>D: density
</em>
- <em>V: Volume
</em>
The volume of a pyramid is given by:
Where,
- <em>A: area of the base
</em>
- <em>h: height
</em>
Substituting values we have:
We now calculate the mass:
Answer:
he needs 7.74 pounds of zinc
Answer:
A. 25 girls
Step-by-step explanation:
Suppose the number of boys is b and the number of girls is g.
We know that the ratio of boys to girls is 6 to 5, so we can write this as:
b:g = 6:5 or b/g = 6/5
We also know that there are 30 boys, so b = 30. We plug this value of 30 in for b in our ratio. Now, we just have a proportion with one variable g:
⇒ 
Cross-multiplying, we get:
6 * g = 30 * 5 = 150
g = 150/6 = 25
Thus, there are 25 girls, so the answer is A.
Hope this helps!
Answer: 18
Step-by-step explanation: Simple math, the original answer was 17.88 but when I estimated it, it rounded to the nearest number which was 18.
