Answer:
x=25
x=47
y=25 x=10
y=20
Step-by-step explanation:
2x+10=60
-10 -10
2x=50
2x/2=50/2
x=25
2x+6=100
-6 -6
2x=94
2x/2=94/2
x=47
5y-25=100
+25 +25
5y=125
5y/5=125/5
y=25
11x-30+100=180
11x+70=180
-70 -70
11x=110
11x/11=110/11
x=10
7y-10=3y+70
+10 +10
7y=3y+80
-3y-3y
4y=80
4y/4=80/4
y=20
hopefully this helps :)
Answer:
9
Step-by-step explanation:
81 gallons per 9 minutes
This can be thought of as a fraction:
divide the top and bottom of the fraction by 9 to make the bottom 1
remove the gallons per minute to a separate fraction
9
Answer with Step-by-step explanation:
We are given that
Height of ball after t seconds is given by
a.Substitute the value of t=1
b.Differentiate w.r.t x
Again differentiate w.r.t t
Hence, the height is maximum at t=2.5 s
Maximum height of the baseball=27 ft
Answer:
322
Step-by-step explanation:
23.4 rounded to the nearest whole number is 23
13.9 rounded to the nearest whole number is 14
23 times 14 = 322
Step OneFor convenience f(x) = y
y = -(1/2) sqrt(x + 3) Interchange x and y
x = -(1/2) sqrt(y + 3) Multiply both sides by -2
(-2x) = sqrt(y + 3) Square both sides
4x^2 = y + 3 Subtract 3 from both sides
4x^2 -3 = y
f-1(x) = 4x^2 - 3
GraphsThe original graph is in blue
The inverse is red.
Green Line y = x : explained below.
CommentInverses have a very strange property. It acts as a check.
If you perform the following operation
f-1(f(x)) you are left with x
In this case f-1[-1/2 sqrt(x + 3)]= 4(-1/2 * sqrt(x + 3))^2 - 3
f-1 (-1/2sqrt(x+3)) = 4 (1/4 (x+3) - 3
f-1(-1/2sqrt(x + 3)) = x+ 3 - 3 = x
I've included this because I think you have to put the same restriction on f-1(x) as you do on f(x) which is that for f(x) x ≥ -3
This last assertion could be incorrect, but I don't think so.
The answer is f-1(x) = 4x^2 - 3 <<<<<
answer first box and
x≥-3 for the second box. <<<<<<
answer for the second box.Let me know if these are correct. I'm not sure about the restrictions.