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VLD [36.1K]
3 years ago
14

What is the inverse of this function

Mathematics
1 answer:
just olya [345]3 years ago
6 0
G(x) = (25 - x)/5     First lets call g(x) by its other name - y

y = (25 - x)/5         Now switch the x and y

x = (25 - y)/5        Solve for y which is now the inverse - call this g^{-1}(x)

5x = 25 - y
y = 25 - 5x      this is the inverse so g^{-1}(x) = 25 - 5x
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Find the average rate of change of f(x)=2x^2-7x from x=2 to x=5
m_a_m_a [10]

Answer:

7

Step-by-step explanation:

The average rate of change of f(x) in the close interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [2, 5 ]

f(b) = f(5) = 2(5)² - 7(5) = 50 - 35 = 15

f(a) = f(2) = 2(2)² - 7(2) = 8 - 14 = - 6, thus

average rate of change = \frac{15-(-6)}{5-2} = \frac{21}{3} = 7

3 0
3 years ago
Be sure to show your work and solve for f: 12 = f - 13-2
ki77a [65]

Answer:

<h3>f =27</h3>

Step-by-step explanation:

12 = f - 13-2

Collect like terms and simplify

12+13+2 = f\\27 =f

Switch sides

f = 27

5 0
3 years ago
Read 2 more answers
An envelope is 3 inches wide, and it measures 7 inches along the diagonal. What is the envelope’s length? If necessary, round to
Crank

The length of the envelope is 6.3 inches

Step-by-step explanation:

Width of the envelope = 3 inches

Diagonal of the envelope = 7 inches

To find:

The length of the envelope.

Let the length of the envelope be 'l'

We can use pythogoras theorem to calculate the length.

l = √(49-9)

l = √(40)

l = 6.3 inches

The length of the envelope is 6.3 inches

7 0
3 years ago
Jeff wants to spend at most $89 on his mom's birthday gifts. He already bought her a
Andrew [12]

The Inequality representing money she can still spend on her friend birthday gift is .

Jordan can still spend at most $30 on her friends birthday gift.

Step-by-step explanation:

Given:

Total money need to spend at most = $45

Money spent on Yoga ball = $15

We need to find how much money she can still spend on her friend birthday gift.

Solution:

Let the money she can still spend on her friend birthday gift be 'x'.

So we can say that;

Money spent on Yoga ball plus money she can still spend on her friend birthday gift should be less than or equal to Total money need to spend.

framing in equation form we get;

The Inequality representing money she can still spend on her friend birthday gift is .

On solving the the above Inequality we get;

we will subtract both side by 15 using subtraction property of Inequality.

Hence Jordan can still spend at most $30 on her friends birthday gift.

4 0
2 years ago
Solve q-7 5/6=6 1/2 pllllleeeaassee
maw [93]
Q - 7 5/6 = 6 1/2
q = 6 1/2 + 7 5/6
q = 13/2 + 47/6 / multiply 13/2 by 3
q = 39/6 + 47/6
q = 86/6
8 0
3 years ago
Read 2 more answers
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