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Arada [10]
2 years ago
8

Help Solving Exponential Functions

Mathematics
2 answers:
iren [92.7K]2 years ago
7 0

Answer:

p(x) = 256 \\ p(x) =  {2}^{(x + 2)}  \\  {2}^{(x + 2)}  = 256 \\  {2}^{(x + 2)}  =  {2}^{8}  \\( x + 2) = 8 \\ x =( 8 - 2) \\  \boxed{x = 6}

<h3><u>x=6 </u>is the right answer.</h3>

243 =  {3}^{(x + 3)}  \\  {3}^{(x + 3)}  =  {3}^{5}  \\ (x + 3) = 5 \\ x = (5 - 3) \\ \boxed{ x = 2}

<h3><u>x=2</u> is the right answer.</h3>
adelina 88 [10]2 years ago
3 0

Step-by-step explanation:

4) p(x)=256

p(x)=2 ^ x+2

256=2 ^ x+2

2⁸= 2 ^ x+2

8=x+2

x=8-2=6

5)243=3 ^ x+3

3×3×3×3×3 = 3 ^ x+3

3⁵= 3^ x+3

5 = x+3

x=5-3=2

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Solve 4(3b + 2) – 5b = 43 for b. Question 4 options: A) b = 3 B) b = 5 C) b = –3 D) b = –5
Lisa [10]

Answer:

b = 5

Step-by-step explanation:

4 ( 3b + 2 ) - 5b = 43     Given

( 4 • 3b + 4 • 2 ) - 5b = 43      Distributive Property

12b + 8 - 5b = 43

12b - 5b + 8 = 43    Combine like terms

7b + 8 = 43

7b + 8 - 8 = 43 - 8     Subtraction Property of Equality

7b = 35

7b / 7 = 35 / 7      Division Property of Equality

b = 5

7 0
3 years ago
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Which of the following is not a characteristics of a plane?
xeze [42]
So b is the correct answer
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3 years ago
2(3v−5)=2(v−11)−4<br> what is v?
Neko [114]

Answer:

-4

Step-by-step explanation:

1.  6v-10=2v-22-4

2.  4v-10=-26

3. 4v=-16

4.  v=-4

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3 years ago
Find the slope of a line parallel to this given line
dybincka [34]

bearing in mind that parallel lines have the same exact slope, then any parallel line to the one above will have the same slope as that one.

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The ratio of the number of dogs the number of cats is 4:5. There are 270 animals on the rescue Farm. The number of dogs is 4/5.
mafiozo [28]

Answer:

<em>Here is the complete question:</em>

The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the following statements, explain whether statements is true or false and why:

a. The number of dogs is 4/5 the number of cats.

b. 4/5 of the pets at the farm are dogs.

c. There are exactly 30 more cats than dogs.

d. There are exactly 30 dogs at the farm.

e. 5/9 of the pets at the farm are cats.

a,c and e are true statements.

Step-by-step explanation:

Let the number of dogs be "d' and number of cats be "c".

According to the question:

⇒ c+d=270   ...equation (i)

Arranging the ratio:

⇒ \frac{4}{5} = \frac{d}{c}

⇒ 4c=5d

⇒ c=(\frac{5}{4})d    ...equation (ii)

Plugging (ii) in equation (i).

⇒ c+d=270

⇒ \frac{5}{4} d+d=270

⇒ \frac{5d+4d}{4} =270

⇒ 9d=270\times 4

⇒ d=\frac{270\times 4}{9}

⇒ d=120

Number of dogs "d" = 120

Number of cats "c" = (270-120) = 150

Lets check each statement:

a.

The number of dogs is 4/5 the number of cats.

⇒ \frac{4}{5} \times 150

⇒ \frac{4\times 150}{5}

⇒ 120

Statement is true.

b.

4/5 of the pets at the farm are dogs.

⇒ \frac{4}{5} \times 270

⇒ 216

Number of dogs = 120

So the above statement is false.

c.

There are exactly 30 more cats than dogs.

⇒ c-d =30

⇒ 150-120=30

Statement is true.

d.

There are exactly 30 dogs at the farm.

False, as there are 120 dogs

e.

5/9 of the pets at the farm are cats.

⇒ \frac{5}{9} \times 270

⇒ 150

Statement is true.

So,

Statement  a,c and e are true as we could observe in the explanation.

8 0
2 years ago
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