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Ira Lisetskai [31]
3 years ago
5

Please help me with this math question!

Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0
The bases are both 2, so we would subtract the exponents. This is because the rule is

(a^b)/(a^c) = a^(b-c)

In this case,
a = 2
b = 3/4
c = 1/2

So this means
b - c = (3/4) - (1/2) = (3/4) - (2/4) = 1/4

After subtracting the exponents, the final exponent is 1/4

So the expression simplifies to 2^(1/4) which is the same as \sqrt[4]{2} (fourth root of 2)
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i think it is the first one

Step-by-step explanation:

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208 divi by 6.4 What is the quotient for the equation above?
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Find the area of a circle with a diameter of 4.
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3 years ago
Ahab needs to mix 3.5 cups of liquid iced tea concentrate with 3 cups of water to make iced tea. Ahab has 21 cups of iced tea co
liraira [26]

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  39 cups

Step-by-step explanation:

If we assume that the 3.5 cups of concentrate make 3.5+3 = 6.5 cups of tea, we can use the proportion ...

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4 0
3 years ago
Please show your work this question what made you come to the conclusion. Thank you
AveGali [126]

Answer:

B the range, the x- and y-intercept

Step-by-step explanation:

the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).

but the range changes, as for the original function y could only have positive values - even for negative x.

the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.

the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.

the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.

the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.

the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)

3 {b}^{x + 1}  = 2

{b}^{x + 1}  = 2 \div 3

log_{b}(2 \div 3)  = x + 1

x =  log_{b}(2 \div 3)  - 1

8 0
3 years ago
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