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3 years ago

12

Warm up. help please

1 answer:

vampirchik [111]3 years ago

3 0

Exponents are similar in concept to multipication. Multiplication is repeated addition and exponents are repeated multiplication.
So x^3 = x*x*x
f(-2) = (-2)(-2)(-2) = -8
Try the others For yourself!

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The exponential function f(x) = 3(5)x grows by a factor of 25 between x = 1 and x = 3. What factor does it grow by between x = 5

Delvig [45]

Answer:

B) 25

Step-by-step explanation:

Given exponential function:

$f(x)=3(5)^x$

The growth factor between $x=1$ and $x=3$ is 25.

To find the growth factor between $x=5$ and $x=7$

Solution:

The growth factor of an exponential function in the interval $x=a$ and $x=b$ is given by :

$G=\frac{f(b)}{f(a)}$

We can check this by plugging in the given points.

The growth factor between $x=1$ and $x=3$ would be calculated as:

$G=\frac{f(3)}{f(1)}$

$f(3)=3(5)^3$

$f(1)=3(5)^1$

Plugging in values.

$G=\frac{3(5)^3}{3(5)^1}$

$G=\frac{(5)^3}{(5)^1}$ (On canceling the common terms)

$G=(5)^{(3-1)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Similarly the growth factor between $x=5$ and $x=7$ would be:

$G=\frac{f(7)}{f(5)}$

$f(7)=3(5)^7$

$f(5)=3(5)^5$

Plugging in values.

$G=\frac{3(5)^7}{3(5)^5}$

$G=\frac{(5)^7}{(5)^5}$ (On canceling the common terms)

$G=(5)^{(7-5)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Thus, the growth factor remains the same which is =25.

3 0

3 years ago

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Masja [62]

Answer:

6 trips in total..,.............

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2 years ago

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If a¹/n =r then which of the following are true statements?

TEA [102]

Answer:

statement B and C are true...hope this helps:)

5 0

2 years ago

Anyone please !!!!!!

IgorLugansk [536]

Answer:

4

Step-by-step explanation:

Lets start by plugging in our (a) value

a^2 + 5a + 4

(-5)^2 + 5(-5) +4

25 - 25 + 4

0 + 4

4 is your final answer!

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3 years ago

The rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point B, parallel to the front fac

Natasha_Volkova [10]

Answer:

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Step-by-step explanation:

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3 years ago