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2 years ago

6

In the figure below, what is the length of BC? A) 12 B) 13 C) 17 D) 18 E) 22

2 answers:

zheka24 [161]2 years ago

8 0

Answer:

B

Step-by-step explanation:

garik1379 [7]2 years ago

3 0

B is the answer

i simplified the theorem, but i hope this makes sense!

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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

Read 2 more answers

Point F is located at (3, 4) on a coordinate plane. If Point F is reflected across

kati45 [8]

(-3,4)
Is
The
Correct answer

7 0

3 years ago

Can you help me out on this one

Bad White [126]

Answer:

I think the answer is C if I'm wrong sorry its been two years since i last learnt this

Step-by-step explanation:

6 0

3 years ago

When does a compound inequality with OR have a solution that is the entire number line? Can the solution be bounded to one side?

dalvyx [7]

Answer:

Concept: Algebraic Analysis

$\geqslant \: \: \: \: \: \: \: \: \: \: \leqslant$
Those two symbols indicate one solution
$< \: \: \: \: \: \: \: >$
Those symbols indicate a range of values
$x < 15 < x$
Indicates two bounded answers
In an inequality there is always a solution

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3 years ago

If Bob The Baker can bake 12 pies in 8 hours, how many pies can he bake in a day (Hint: How many hours are in a day?

shusha [124]

He can make 36 pies in a day because there are 24 hours in a day and
24/8=3
3•12=36

6 0

3 years ago