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mrs_skeptik [129]
3 years ago
8

If f(x) = log2(x+4), what is f-1(3)

Mathematics
2 answers:
svp [43]3 years ago
8 0
Imma just solve for f⁻¹(x) for this one

to solve fr the invers
replace f(x) with y
switch x and y
solve for y
replace y with f⁻¹(x)

I'm assuming your thing is f(x)=log_2(x+4)

remember

log_a(b)=c translates to a^c=b

so
if we replace y with f(x)
y=log_2(x+4)
switch
x=log_2(y+4)
translate
2^x=y+4
minus 4
2^x-4=y
f^{-1}(x)=2^x-4
evaluate
f^{-1}(3)=2^3-4
f^{-1}(3)=8-4
[f^{-1}(3)=4

it equals 4
pshichka [43]3 years ago
4 0
F^-1(3)= 2^3-4=8-4=4
Hope this helps.
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Mackenzie and her children went into a movie theater and she bought $99.50 worth of bags of popcorn and candies. Each bag of pop
olga_2 [115]

Answer: Mackenzie bought 7 bags of popcorn and 10 candies.

Step-by-step explanation:

Let x represent the number of bags of popcorn that Mackenzie bought.

Let y represent the number of candies that Mackenzie bought.

She bought a total of 17 bags of popcorn and candies altogether. This means that

x + y = 17

She bought $99.50 worth of bags of popcorn and candies. Each bag of popcorn costs $8.50 and each candy costs $4. This means that

8.5x + 4y = 99.5- - - - - - - - - - - - - - 1

Substituting x = 17 - y into equation 1, it becomes

8.5(17 - y) + 4y = 99.5

144.5 - 8.5y + 4y = 99.5

- 8.5y + 4y = 99.5 - 144.5

- 4.5y = - 45

y = - 45/ - 4.5

y = 10

x = 17 - y = 17 - 10

x = 7

5 0
4 years ago
What’s is the answer ?
stealth61 [152]

Answer:

Hi

Step-by-step explanation:

...................

8 0
4 years ago
-8 ( y + 4 ) = 10y + 4
maks197457 [2]
Let's solve your equation step-by-step.<span><span>−<span>8<span>(<span>y+4</span>)</span></span></span>=<span><span>10y</span>+4

</span></span>Step 1: Simplify both sides of the equation.<span><span>−<span>8<span>(<span>y+4</span>)</span></span></span>=<span><span>10y</span>+4

</span></span><span>Simplify: </span><span><span><span><span>(<span>−8</span>)</span><span>(y)</span></span>+<span><span>(<span>−8</span>)</span><span>(4)</span></span></span>=<span><span>10y</span>+4</span></span>(Distribute)<span><span><span><span>−<span>8y</span></span>+</span>−32</span>=<span><span>10y</span>+4</span></span><span><span><span>−<span>8y</span></span>−32</span>=<span><span>10y</span>+4

</span></span>Step 2: Subtract 10y from both sides.<span><span><span><span>−<span>8y</span></span>−32</span>−<span>10y</span></span>=<span><span><span>10y</span>+4</span>−<span>10y</span></span></span><span><span><span>−<span>18y</span></span>−32</span>=4

</span>Step 3: Add 32 to both sides.<span><span><span><span>−<span>18y</span></span>−32</span>+32</span>=<span>4+32</span></span><span><span>−<span>18y</span></span>=36

</span>Step 4: Divide both sides by -18.<span><span><span>−<span>18y</span></span><span>−18</span></span>=<span>36<span>−18</span></span></span><span>y=<span>−2

</span></span>Answer:<span>y=<span>−<span>2

Good luck mate :P
</span></span></span>
7 0
3 years ago
Read 2 more answers
1. Mark is six years older than his brother Sam. The sum of their ages is 30. What a be Sam's age. Set up and solve an equation
barxatty [35]

Answer:

1) Sam's age = a = 12

Mark's age = 18

2) Number of tickets Mandy sells = N = 12

Number of tickets Alonso sells = 31

3) Number of points Elena scores = a = 12

Number of points Karla scores = 24

Number of points Faye scores = 42

Faye scores more points!

Step-by-step explanation:

1) Let a represent Sam's age

Mark's age = a + 6

Sum of their ages = 30

a + (a + 6) = 30

2a + 6 = 30

2a = 24

a = 12 year old

a + 6 = 12 + 6 = 18 year old

Sam's age = 12

Mark's age = 18

2) Let N represent the number of tickets that Mandy sells

Alonso sells five tickets less than three times Mandy sells, that is equal to (3N - 5) tickets.

Total number of tickets sold = 43

N + 3N - 5 = 43

4N = 48

N = 12 tickets

3N - 5 = 36 - 5 = 31 tickets

Number of tickets Mandy sells = N = 12

Number of tickets Alonso sells = 31

3) Let the number of points Elena scores = a

Number of points Karla scores = 2a

Number of points Faye scores = a + 30

Total number of points = 114

a + 2a + a + 30 = 114

4a = 114 - 30 = 84

4a = 84

a = 12 points

2a = 24 points

a + 30 = 42 points

Number of points Elena scores = a = 12

Number of points Karla scores = 24

Number of points Faye scores = 42

Since 42>24, Faye evidently scores more points than Carla.

3 0
3 years ago
Graph the equation -2x+y=-4
elixir [45]
45 45 45 45 45 45454545454545445454554
6 0
3 years ago
Read 2 more answers
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