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hodyreva [135]
2 years ago
13

What is the least possible value of 8x-13 when 9 is less than or equal to 3/4 + x?

Mathematics
1 answer:
Kruka [31]2 years ago
6 0

The least possible value of 8x - 13 when 9 is less than or equal to 3/4 + x is;

53.

According to the question;

  • 9<=3/4 + x.

Therefore,

  • 9 -3/4 <= x

  • 8 1/4 <= x

Therefore, x >= 33/4.

The least possible value of x is therefore, 33/4

The expression 8x -3 becomes;

  • 8(33/4) -13

  • =66 - 13

  • = 53.

Therefore, the least possible value of 8x - 13 is;

53.

Read more;

brainly.com/question/18370359

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If f(x)f(x) is an exponential function where f(-1)=5f(−1)=5 and f(7)=32f(7)=32, then find the value of f(4)f(4), to the nearest
Whitepunk [10]

Using an exponential function, it is found that the value of the function when x = 4 is of f(4) = 15.95.

<h3>What is an exponential function?</h3>

It is modeled by:

y = ab^x

In which:

  • a is the initial value.
  • b is the rate of change, as a decimal.

In this problem, we have that f(-1)=5, hence:

5 = ab^{-1}

\frac{a}{b} = 5

a = 5b

We also have that f(7)=32, hence:

32 = ab^7

Since a = 5b:

5b^8 = 32

b = \sqrt[8]{\frac{32}{5}}

b = 1.2612.

a = 5b = 5 x 1.2612 = 6.306.

Hence the function is given by:

y = 6.306(1.2612)^x

Then, when x = 4, we have that:

y = 6.306(1.2612)^4 = 15.95

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

5 0
2 years ago
Which of the following expressions have a quotient of –2? Check all that apply. –12 ÷ –6 –12 ÷ 6 –6 ÷ –3 6 ÷ –3 –6 ÷ 3
Olegator [25]

Answer:

12 ÷ –6, –12 ÷ 6, 6 ÷ –3, –6 ÷ 3

Step-by-step explanation:

Ignore the negative signs. If their quotient is 2 and only 1 of the 2 numbers have a negative sign, they make -2.

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Step-by-step explanation:

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4) ∠APC = ∠APB

Reason: algebra

5) AP = AP

Reason: reflexive property

6) ΔAPC ≅ ΔAPB

Reason: ASA congruence

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