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BartSMP [9]
3 years ago
14

Question 4 (1 point)

Mathematics
2 answers:
JulijaS [17]3 years ago
8 0

Answer:

c. the graph moves left 18 units

Step-by-step explanation:

edge 2021

(:

kirza4 [7]3 years ago
7 0

Answer:

left

Step-by-step explanation:

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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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Cassandra calculated the total volume of the figure below. A rectangular prism has a length of 7 inches, width of 6 inches, and
RideAnS [48]

Answer:

1,2,4

Step-by-step explanation:

4 0
3 years ago
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What is the prime factorization for 50 using exponents?
galina1969 [7]

Answer:

Either way, it gives us the prime factorization for 50 that is 5 x 5 x 2. The prime factorization of 50 can be expressed using exponents as 5^2 x 2.

Step-by-step explanation:

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3 years ago
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Please help I can't work out the gradient​
Annette [7]

Answer:

a is 2.5

b is 1

gradient is rise over run

8 0
3 years ago
"Raju's father age is 5 years more than three times of Raju's age. Raju's father age is 50 years."​
Lana71 [14]

Let rajus age be x

  • His father=3x+5

ATQ

\\ \bull\tt\longmapsto 3x+5=50

\\ \bull\tt\longmapsto 3x=50-5

\\ \bull\tt\longmapsto 3x=45

\\ \bull\tt\longmapsto x=\dfrac{45}{3}

\\ \bull\tt\longmapsto x=15

8 0
2 years ago
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