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Temka [501]
3 years ago
8

Plzz help. Giving everything. D. 24.5

Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

Answer:

\frac{8}{14} = \frac{14}{x+2}  (since they're similar, set them up as a proportion to find x)

14*14 = 8(x+2) (cross multiply, solve the left side, and distribute the right side)

196 = 8x +16 (subtract 16 from both sides)

180 = 8x (divide both sides by 8)

x= 22.5 (is your answer, or C)

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=4%20%5Ctimes%208%20%5E%7B2x%20%2B%201%3F%7D%20%20%3D%2032%20%5E%7Bx%20%2B%202%7D%20" id="TexFo
svet-max [94.6K]

Answer:

x = 5

Step-by-step explanation:

<u>__________________________________________________________</u>

<u>FACTS TO KNOW BEFORE SOLVING</u> :-

  • a^x \times a^y = a^{x+y}
  • In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : a^x = a^y  ⇒  x = y  [∵ Bases are equal on both the sides]

<u>__________________________________________________________</u>

4 \times 8^{2x+1} = 32^{x+2}

Lets express it in terms of 2.

=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}

=> 2^2 \times 2^{6x+3} = 2^{5x+10}

=> 2^{2 + 6x+3} = 2^{5x+10}

=> 2^{6x+5} = 2^{5x+10}

Here the bases on both the sides are equal. Hence ,

=> 6x + 5 = 5x + 10

=> 6x - 5x = 10 - 5

=> x = 5

6 0
2 years ago
If f(x) = 3x + 5 and g(x) = x - 1, then g[f(-3)] = ?
Dominik [7]

Answer:

-3fg

Step-by-step explanation:

I can't tell exactly what you're trying to say but if you're trying to say:

g x (f x (-3)), then here's how you do it:

g x (f x (-3))

Multiplying a positive and a negative equals a negative: (+) x (-) = (-), then use the commutative property to reorder the terms.

g x (-f x 3)

g x (-3f)

Multiplying a positive and a negative equals a negative: (+) x (-) = (-), the use the commutative property to reorder the terms.

-g x 3f

-3fg

8 0
3 years ago
Given the growth rate, what is the growth factor? 16%
harina [27]

Answer:

need point my bad

Step-by-step explanation:

6 0
2 years ago
Use the graph to describe the rule, write the ordered pairs of the image.
maks197457 [2]

Step-by-step explanation:

Both are translations,

1.) Translation of (5,7)

2.) Translation of (8, -3)

3 0
2 years ago
If you can help me with this you are AMAZING!!!!!!!!!!
Tresset [83]

Answer:

2.

a. 2 books

n/3 books

b. 9 books

3.

a. 8 tomatoes

2/5x

Step-by-step explanation:

6/3 = 2

n/3

27/3 =9

2/5 *20 = 40/5 =8

2/5*x 2/5x

plz mark branliest if this helps

3 0
2 years ago
Read 2 more answers
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