The curve through the ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function f(x) = 10(0.5)x. What is the multiplicative rate of change of the function?A.0.5
B.2
C.2.5
D.5

Answers

Answer 1

Answer: y=mx+b
trial and error tells us
f(x)=-0.25x+10 (the given equation doesn't give the correct starting value)

rate of change is -0.25

Answer 2

Answer:

Answer:

0.5

Step-by-step explanation:

Hope this helps

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What is the simplified base for the function f(x) = 2(3√27(2x)?2
3
9
18

Answers

Answer:

option C is correct i.e. 9

Step-by-step explanation:

We have given that : $f(x)=2 \sqrt[3]{27^(2x)}$

To find : The simplified base of the function f(x)

Solution:

Now, we solve the equation

$f(x)=2 \sqrt[3]{27^(2x)}$

$f(x)=2(27^x)^{(2)/(3)}$

$f(x)=2(3^(2x))$

$f(x)=2((3^2)^(x))$

$f(x)=2(9^(x))$

Therefore, the simplified base of the function f(x) is 9

Answer:

Option C is correct

9 the simplified base for the given function f(x)

Step-by-step explanation:

Using exponent rules:

$(x^m)^n = x^(mn)$

$\sqrt[n]{x^b} = x^{(b)/(n)}$

Given the function:

$f(x) = 2\sqrt[3]{27^(2x)}$

We can write 27 as:

$27 = 3 \cdot 3 \cdot 3 = 3^3$

then;

$f(x) = 2\sqrt[3]{(3^3)^(2x)}$

Apply the exponent rules:

$f(x) = 2\sqrt[3]{3^(6x)}$

Apply the exponent rules:

$f(x) =2 \cdot (3^(6x))^{(1)/(3)} = 2 \cdot 3^(2x)$

⇒ $f(x) = 2 \cdot (3^2)^x = 2 \cdot 9^x$

⇒ $f(x) =2 \cdot 9^x$

On comparing with exponential function $f(x) = ab^x$ where, b is base of the exponent function, then

b = 9

Therefore, the simplified base for the given function is, 9

Does the set of numbers 13, 21, and 24 form a Pythagorean triple? Explain. a. yes; 132 + 212 ≠ 242b. no; 132 + 212 = 242
c.no; 132 + 212 ≠ 242
d. yes; 132 + 212 = 242

Answers

For a Pythagorean triple:
a² + b² = c²
13² + 21² = 24²
169 + 441 = 576
610 ≠ 576
Answer:
C) No, 13² + 21² ≠ 24²

Answer:

No; no; 13^2 + 21^2 ≠ 24^2

Step-by-step explanation:

The sum of the squares of the legs is greater than the square of the hypotenuse, therefore this set of numbers DOES NOT form a Pythagorean triple. The sum of the squares of the legs must be equal to the square of the hypotenuse.

evaluate 5a + 3b and (5 + a)(3+B) for a=2 and b=4 how is the order of steps diffrent from the two expressions

Answers

the first one = 10+12 = 22
second = 7x7 = 49

the order of the steps are different by the pluses and minuses
the first one had a multiply to 5 and b multiply to 3 and add them together
the second one had a plus 5 and b plus 3 and those two multiplied .

Good evening guys

I nee your help , can you ?

Answers

5h^3: 5 * h * h * h
20h^2: 2 * 2 * 5 * h * h
GCF(5h^3, 20h^2) = 5h^2

4h: 2 * 2 * h
16: 2 * 2 * 2 * 2
GCF(4h, 16) = 4

The answer is C.

How do u do this ??? Alistair buys an antique chair for £600. It is expected to increase in value at the rate of 4.5% each year. How much is it expected to be worth in 3 years ??