Answer:
x = 5/2
Step-by-step explanation:
2^x+4 = 2^3x-1
x + 4 = 3x - 1
3x - x = 4 + 1
2x = 5
x = 5/2
B and C
3^3 = 27
the cubed root of 27 is 3
Answer:
3 down, 4 up
Step-by-step explanation:
-3 is the X line, which starts on 0, if you subtract 3, or add -3, you would have to go down, 3 down. 4 is on the Y line, so you add, go left to add on the Y line, 4 up.
Always start with you X coordinate. Here is a tip to help you (X, Y)
this is the best thing i could find for you, good luck with your question,
5x is greater than or equal to -25
The product of 5 and a number is at least –25
we convert the given statement into inequality
product means multiplication
Let x be the unknown number
product of 5 and a number is 5x
5x is at least -25
For word at most we use <=
for word at least we use >=
So the expression becomes 5x <= -25
Answer:
54.2 mph
Step-by-step explanation:
Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...
70² = c² +(c -10)²
4900 = 2c² -20c +100 . . . . eliminate parentheses
c² -10c -2400 = 0 . . . . . . . . divide by 2; put in standard form
(c -5)² -2425 = 0 . . . . . . . . . rearrange to vertex form
c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical
c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution
Cynthia's average speed was 54.2 miles per hour.
