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timama [110]
3 years ago
12

Warm up. help please

Mathematics
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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Susan walked a total of 8 kilometers by making 4 trips to school. How many trips will Susan have to make in all to walk a total
Masja [62]

Answer:

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

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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

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25 - 25 + 4

0 + 4

4 is your final answer!

5 0
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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