MATHEMATICS HIGH SCHOOL

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Given that f(x)=-x+4 and g(x)=-2x-3, solve for f(g(x)) when x=2.

Answers

Answer 1

Answer:

Answer:

f(g(x))= 11

Step-by-step explanation:

This question asks us to find f(g(x)) when x=2. Therefore, we can substitute 2 in for x.

f(g(x)), x=2

f(g(2))

First, we must find g(2).

We know that g(x)= -2x-3. We can plug 2 in for each x and solve.

g(x)= -2x -3, x=2

g(2)= -2(2)-3

First, multiply -2 and 2.

g(2)= -4-3

Then, subtract 3 from -4.

g(2)= -7

Let's return to our function: f(g(2)). We know that g(2)= -7. Thus, we can substitute -7 in for g(2).

f(g(2)), g(2)= -7

f(-7)

Now we must find f(-7). We know that f(x)= -x+4. We can plug -7 in for x and solve.

f(x)= -x+4 , x= -7

f(-7)= -(-7) +4

f(-7)= 7+4

Add 7 and 4

f(-7)= 11

Our final answer is: f(g(x))= 11

Answer 2

Answer:

Answer:11

Step-by-step explanation:

g(2)=-7

f(-7)=11

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How do you find the area of this

Answers

Answer:

156 cm^2

Step-by-step explanation:

area of a paralelogram is Base times hieght

13 times 12

Find the x intercept and y intercept for the graph of 2x-3y=6

Answers

xintercept is where the line crosses the x axis or where y=0
yintercept is where the line crosses the y axis or where x=0

2x-3y=6

xint
y=0
2x=6
x=3
xint is x=3 or (3,0)

yint
x=0
-3y=6
divide by -3
y=-2
yint is y=-2 or (0,-2)

xint is (3,0) or at x=3
yint is (0,-2) or at y=-2

2x - 3y = 6
-3y = 6 - 2x
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A student runs 100 meters in 11 seconds. What is the speed of the student? 9.1 miles per hour 16miles per hour 20.3miles per hour 24miles per hour

Answers

The answer is 20.3 miles per hour. First, you need to change meter and second to mile and hour. The 100 meter equals 100/1609 mile. 11 seconds equals 11/3600 hour. Then using mile number divides by hour you can get the answer.

14(0.89)^x+4.5 =162

Answers

$14(0.89)^(x + 4.5) = 162$
$(14(0.89)^(x + 4.5))/(14) = (162)/(14)$
$0.89^(x + 4.5) = 11(4)/(7)$
$ln(0.89^(x + 4.5)) = ln(11(4)/(7))$
$(x + 4.5)ln(0.89) = ln(11(4)/(7))$
$((x + 4.5)ln(0.89))/(ln(0.89)) = (ln(11(4)/(7)))/(ln(0.89))$
$x + 4.5 = -2101.14032500$
$x = 2105.64032500$

3x - 17 = 46 . solve for x

Answers

Answer:

$x = 21$

Step-by-step explanation:

We can simplify this equation down until we have x isolated.

$3x - 17 = 46$

If we add 17 to both sides:

$3x = 63$

Now we can divide both sides by 3:

$x = 21$

So $x = 21$ .

Hope this helped!

Answer:
x= 21

Explaination:
3x - 17 = 46
3x = 46 + 17
3x = 63
3x/3 = 63/3
x = 21

At a store, ice cream cones cost $1.80 and sundaes cost $3.30. One day the receipts for a total of 148 cones and sundaes were $360.90. How many cones were sold? How many sundaes?