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Ket [755]
2 years ago
12

Given the parent functions f(x) = 5x − 1 and g(x) = 3^x − 9, what is g(x) − f(x)?

Mathematics
1 answer:
Gre4nikov [31]2 years ago
8 0
Hi!

I believe this will answer your question  the parent function of f(x) = 5x − 1  is 5,  the parent function of  g(x) = 3^x − 9 is 3^x ln (3), and g(x) − f(x) is -5f+g*3^x ln (3)
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What is the length of b
oksian1 [2.3K]

Answer:

b = 24

Step-by-step explanation:

<u>Concepts</u>

The Pythagorean Theorem states that the sum of the squares of the two other sides on a right triangle is equal to hypotenuse (longest side) squared. It can be represented by the equation a^2+b^2=c^2. We can also use this formula to solve for the other two legs in the right triangle.

<u>Application</u>

In this case, we're asked to find the length of b in the right triangle, given c as 26 and a as 10. Now, we just apply the formula and solve for b.

<u>Solution</u>

Step 1: Set up equation and simplify.

  • 10^2+b^2=26^2
  • 100+b^2=676

Step 2: Subtract 100 from both sides.

  • 100+b^2-100=676-100
  • b^2=576

Step 3: Take square root of both sides.

  • \sqrt{b^2} =\sqrt{576}
  • b=24

Therefore, b = 24.

4 0
1 year ago
Read 2 more answers
Only one of the comparisons below is correct. Which is correct? What benchmark was used in your answer?
tiny-mole [99]

Answer:

2/3<9/10; I used 3/4 as a benchmark.

Step-by-step explanation:

2/3<1/2; I used 1/2 as a benchmark.

2/3 = 0.(20/3) = 0.667

1/2 = 0.(10/2) = 0.5

So this is wrong, as 0.667 > 0.5.

1/2=3/5; I used 1/4 as a benchmark.

1/2 = 0.(10/2) = 0.5

3/5 = 0.(30/5) = 0.6

0.5 != 0.6, so this is wrong.

2/3<9/10; I used 3/4 as a benchmark.

2/3 = 0.(20/3) = 0.667

9/10 = 0.(90/10) = 0.9

So this is correct, as 0.667 < 0.9

3/4<2/3; I used 1/2 as a benchmark.

3/4 = 0.(30/4) = 0.75

2/3 = 0.(20/3) = 0.667

0.75 > 0.667, so this is wrong.

5 0
3 years ago
There are 35 boys in the sixth grade. The number of girls in the sixth grade is 42. Lonnie says that means the ratio of the numb
Keith_Richards [23]
No, Lonnie is not correct because the correct answer is 5/6. If you do 35/42 divide both by 7, it'll be 5/6.
7 0
3 years ago
What is the average of 3/8 + 2/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 4
melisa1 [442]

Answer:

1 3/8

Step-by-step explanation:

Well to find the average or the mean we need to add all the numbers,

3/8 + 2/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 4

= 11

Then we divide t by the number of numbers in the set.

11 ÷ 8 = 1 3/8

<em>Thus,</em>

<em>the average in the set is 1 3/8.</em>

<em />

<em>Hope this helps :)</em>

4 0
2 years ago
A bag contains 4 red marbles, 6 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probabi
yawa3891 [41]

Answer:

Step-by-step explanation:

Total marble = 4+6+7 = 17

Number of green = 7

Prob(1st green) = 7/17

Now their are 6 green left and 16 marble

Prob(2nd green) = 6/16 = 3/8

Now their are 5 green left and 15 marble

Prob(3rd green) = 5/15 = 1/3

Prob(1st and 2nd and 3rd green) will be = 7/17 × 3/8 × 1/3

= 7/(17×8)

= 7/136

3 0
3 years ago
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