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Mama L [17]
3 years ago
14

Given the function f(x) = 6(x+2) − 3, solve for the inverse function when x = 21.

Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0
The invese switches x and y so basically
if
f(21)=z then f⁻¹(z)=21
therefor
f(z)=21 and f⁻¹(21)=z
basically solve for the value that makes the functino equal 21


21=6(x+2)-3
add 3 both sides
24=6(x+2)
divide by 6
4=x+2
minus 2
2=x

answer is 2
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Does the point (-9,-4) satisfy the equation y = x + 5?
ozzi

Answer:

Yes it satisfies the equation

Step-by-step explanation:

Let, P(x,y) = (-9,-4)

Then, x = -9

         y = -4

if we use this value in the equation, we will get L.S = R.S ;(-4 = -9 + 5)

So, the point satisfies the equation

Hope you have understood this

Pls mark my answer as the brainliest

5 0
3 years ago
Can someone plz help plz show work
aliya0001 [1]

Answer:

<h2>LA = 24 ft²</h2>

Step-by-step explanation:

In the base we have the right triangle. Use the Pythagorean theorem for to calculate the hypotenuse:

h^2=4^2+3^2\\\\h^2=16+9\\\\h^=25\to h=\sqrt{25}\\\\h=5\ ft

The Lateral Area is the sum of the areas of three rectangles:

4\ ft\ \times\ 2\ ft\to A_1=(4)(2)=8\ ft^2\\\\3\ ft\ \times\ 2\ ft\to A_2=(3)(2)=6\ ft^2\\\\5\ ft\ \times\ 2\ \ft\to A_3=(5)(2)=10\ ft^2

The Lateral Area:

LA=A_1+A_2+A_3\to LA=8+6+10=24\ ft^2

8 0
3 years ago
Keisha is walking around a track that is 400 yards long. She has walked around the track 5 times so far. How many more yards doe
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400 yards x 5= 2,000 yards keisha walked. 1 mile equals 1,760 yards. Now to find the 2 miles in yards multiply 1760 x 2= 3,520. So 2 miles equal 3,520 yards. Now subtract 3,520 - 2,000
3 0
3 years ago
A culture started with 5,000 bacteria. After 2 hours, it grew to 6,500 bacteria. Predict how many bacteria will be present after
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This can be expressed as exponential growth of the form:

f=ir^t, f=final amount, i=initial amount, r=common ratio (rate), t=time

In this case we are given the point (2, 6500) and i=5000 so we can solve for the rate...

6500=5000r^2  divide both sides by 5000

1.3=r^2  take the square root of both sides and note that we know r>0

r=1.3^(1/2) so our equation becomes:

f=5000(1.3)^(1/2)^t  and knowing that (a^b)^c=a^(b*c) we can say:

f=5000(1.3)^(t/2)  so for t=18

f=5000(1.3)^9

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3 years ago
Use the guess and check method to solve for the equation : 4(x+2)+2=14 please help need answer
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4(x+2)+2=14

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Divide by 4 on both sides

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