Answer:
First rational exponent means that ;Rational exponents (also called fractional exponents) are expressions with exponents that are rational numbers (as opposed to integers ). While all the standard rules of exponents apply,
Step-by-step explanation:
We take here the root of 4 which means that it gives us the exactly same the answer is 2 which we again square on two it exactly gives us the answer 4 so the bas eis given as, = √4
= ±2
as squaring on it; = 2²
= 4
→ the base in 2² where 2 is the base and 2 of the power is called index.
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Answer:
9 blue balloons
Step-by-step explanation:
Let's create a proportion using the following set up.
blue balloons/total balloons=blue balloons/total balloons
We know that 10 blue balloons were sold if 20 total balloons were sold. We don't know how many blue are are sold if 18 total are sold. Therefore, we can say x blue are sold for 18 total sold.
10 blue/20 total=x blue/18 total
10/20=x/18
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being divided by 18. The opposite of division is multiplication. Multiply both sides by 18.
18*(10/20)=(x/18)*18
18*(10/20)=x
18*1/2=x
9=x
If 18 balloons are sold, 9 blue balloons would be expected to be sold.
-x + 5y = 8....we need to put this in y = mx + b form to find the slope...the slope will be in the m position.
5y = x + 8
y = 1/5x + 8/5.....so the slope is 1/5...a perpendicular line will have a negative reciprocal slope. So the slope we need is -5.
y = mx + b
slope(m) = -5
(7,-1)..x = 7 and y = -1
now we sub and find b, the y int
-1 = -5(7) + b
-1 = -35 + b
-1 + 35 = b
34 = b
so ur perpendicular line is : y = -5x + 34
the original slope was 1/5...a parallel line will have the same slope
y = mx + b
slope(m) = 1/5
(7,-1)...x = 7 and y = -1
now we sub and find b, the y int
-1 = 1/5(7) + b
-1 = 7/5 + b
-1 - 7/5 = b
-5/5 - 7/5 = b
-12/5 = b
so ur parallel line is : y = 1/5x - 12/5
Plan A:
15 + .25x
Plan B:
20 + .05x
Equation to solve for number of minutes:
15 + .25x = 20 + .05x
15 + .20x = 20
.20x = 5
X = 25
You need to talk on the phone for 25 minutes to get the same cost.
