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Tamiku [17]
3 years ago
12

If f(x) = -8x + 8 and g(x) = (x–9,

Mathematics
1 answer:
icang [17]3 years ago
3 0

Answer:

Step-by-step explanation:

(f ° g)(18) is another way of writing f(g(18)) which is telling you to evaluate function g at an x value of 18, then take that answer and plug it in for x in the function. Like this:

g(18) = 18 - 9 so

g(18) = 9. Now take that 9 and plug it into the f function in place of x:

f(9) = -8(9) + 8 and

f(9) = -72 + 8 so

f(9) = -64

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Which equation represents the line that is perpendicular to graph of 4x+3y=9 and passes through (-2,3)
goldfiish [28.3K]

4y = 3x + 18

Step-by-step explanation:

NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1

Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9

3y = -4x + 9

y = -4/3 x + 9/3

y = -4/3 x + 3

The slope of the  perpendicular line is, therefore;

¾  - this is the negative inverse of -4/3

Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;

i.e (0, y)

The other given point, where the line crosses  is (-2, 3). Remember that to get the gradient we use the formula;

Gradient = Δ y / Δ x

¾ = (3 – y) / (-2 – 0)

¾ = (3 –y) / -2  

¾ * -2 = 3 – y

-3/2 = 3 – y

-3/2 – 3 = -y

9/2 = y           ←– This is the y-intercept

Remember the function of a straight line is given;

y = mx + c (m being slope and c being y-intercept)

y = 3/4 x + 9/2

4y = 3x + 18

Learn More:

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6 0
2 years ago
Read 2 more answers
The length of the two sides of the right triangle ABC are given.Find the length of the missing side.See example 1
vitfil [10]
The answer is 10. Hope this helps.
5 0
3 years ago
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Madame Dubois bought 20 pearl necklaces for $500. Becoming bored quickly, she sold 3/4 of them at $40 each. She sold the rest at
Serjik [45]

$725


3/4 of 20 = 15 necklaces

15 x 40 = 600


The rest:

5 x 25 = 125


125 + 600

= 725



4 0
3 years ago
Read 2 more answers
60+6=48<br> What is the value of b?
mina [271]

Answer:

-2

Step-by-step explanation:

Assuming you mean 60 + 6b = 48

subtract 60 from both sides: 6b = 48 - 60 = -12

Now divide both sides by 6 to solve for b: b = -12/6 = -2

3 0
3 years ago
3x = 8 - y
Reil [10]
Hello fellow person

The answer is A, (2,2)

Plug in the numbers into the original equation
3(2)=8-(2)
6=8-2
6=6

Plug in the other ordered pairs and it doesn't work

Hope this helps
Have a good day
4 0
3 years ago
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