Answer:
[tex]f^{-1} (x)=\frac{x-3}{2}[/tex]
Step-by-step explanation:
y = f(x)
y = 2x+3
You need to switch the places of x and y, into this:
x = 2y + 3
Then solve for y:
2y = x-3
[tex]y=\frac{x-3}{2}[/tex]
[tex]f^{-1} (x)=\frac{x-3}{2}[/tex]
Sally goes to the store and buys a camera for $65. The store is
running a discount of 10%. What is the price of the camera after the
discount?
Answer:
58.50
Step-by-step explanation:
There are 100 classes at Sun Valley Magnet School. 45% of the classes are Math and Science. How many classrooms are not Math and Science?
Part 1: Determine the domain.
DOMAIN:
Answer:
The domain is -2 to positive 2.
What is the solution to the inequality 5.25- b
6.5?
-b > 6.5 - 5.25
b < 1.25
Hope this helps!
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What is f(-3) if f(x) = 1/3x
Answer:
10
Step-by-step explanation:
I did this before and i got it right
The tape diagram below represents 100%.
100%
?
What percent is represented by the shaded area?
%
Answer: 50%
Step-by-step explanation:
The shaded portion is half of 100
Answer: 50%
Step-by-step explanation: Since the tape diagram in total represents 100%, and half of the tape diagram is shaded, this means 50% is shaded.
How do you write 0.060 in scientific notation?
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
[tex]6 \times 10 {}^{ - 2} [/tex]
Please help me ASAP........
Answer:
More on supplies than she earned in sales.
Answer:
She spent 25 dollars from her pocket. No profit
Step-by-step explanation:
I need help with this word problem please
Answer:
Step-by-step explanation:
Given function is,
f(x) = [tex]x\sqrt{x}[/tex]
We can rewrite this function as,
f(x) = [tex]x^{\frac{3}{2}}[/tex]
a). Domain of the function is [0, ∞)
Derivative of the function in this domain,
f'(x) = [tex]\frac{3}{2}x^{(\frac{3}{2}-1)}[/tex]
= [tex]\frac{3}{2}x^{\frac{1}{2}}[/tex]
Since, f'(x) > 0 in the interval [0, ∞)
Function is increasing in the interval [0, ∞)
b). For local maxima and local minima,
Second derivative of the function,
f"(x) = [tex]\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}[/tex]
= [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex] > 0
So the function should have a local minima.
But the function is continuous in the interval x ≥ 0,
There is no local minima (only absolute minima).
c). Since, second derivative is undefined at x = 0,
There are no inflection points.
d). Since, f"(x) > 0 in the interval [0, ∞)
Concavity of the curve is UPWARDS.
someone pls help me with this problem , in a rush !!
Answer:
2.DB=7.5+7.5=15cm
3.DV=12.75+12.75=25.5
Step-by-step explanation:
what is the equation of a line with a slope of -3 and a y-intercept of 9
Answer:
The answer to the question provided is y = -3x + 9.
help me asap now pls
Answer:
b=60a
Step-by-step explanation:
If P(A) = .80, P(B) = .65, and P(A ∩ B) = .78, then P(B | A) =
Answer:
P(B | A) = 1.2
Step-by-step explanation:
Given
P(A) = .80P(B) = .65P(A ∩ B) = .78To determine
P(B | A) = ?Using the formula
P(B | A) = P(A ∩ B) / P(B)
= .78 / .65
= 1.2
Therefore,
P(B | A) = 1.2
Need help asap please
Answer:
the 4th one hope this helps
What is the equation of the line that has a slope of 14
and goes through the point (8,−3)?
y=1/4x−5
y=1/4x+5
y=1/4x−11
y=1/4x+1
Answer:
y=1/4x+1
please mark as brainliest
find the sum of the first 31 terms of 4,11,18,...
Answer:
3379
Step-by-step explanation:
Angle 1 and Angle 2 are a linear pair. Angle 1=x-15, and angle 2=x+77. Solve for x then find the measure of each angle.
can someone please help meeee
Which of the following statements are true?
The value of the 5 in 592,841 is 10 times the value of the 5 in 358,764.
The value of the 6 in 861,257 is 10 times the value of the 6 in 651,042.
The value of the 8 in 358,764 is 10 times the value of the 8 in 592,841.
The value of the 5 in 592,841 is in of the value of the 5 in 358,764.
The value of the 6 in 861,257 is in of the value of the 6 in 651,042.
The value of the 8 in 358,764 is id of the value of the 8 in 592,841.
Answer:
5/6 is eaqual to 2.5/3
Step-by-step explanation:
Please help Im confused
Answer:
x=40
Step-by-step explanation:
to get from 3 to 15, you multiply by 5
multiply 8 by 5 and you get 40
x is 40
please give me brainliest!!<3
what is the equation
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y_1 = y - coordinate \: \: point \\ x_1 = x - coordinate \: \: point[/tex]
From the given equation.[tex]y + 8 = 4(x - 5)[/tex]
[tex]y - ( - 8) = 4(x - ( + 5))[/tex]
Answer[tex] \large \boxed{( - 8,5)}[/tex]
What is Four more than twice a number is -10?
Which number is 1/10 the value of 600?
Answer:
60
Step-by-step explanation:
Simply multiply to find your answer:
Answer = 600 x 1/10
Simplify. Divide:
600 x 1/10 = 600/10 = 60
60 is your answer.
~
Answer:
[tex] \frac{1}{10} th \: of \: the \: value \: 600 \\ \frac{1}{10} \times 600 \\ 60 \: is \: the \: required \: number.[/tex]
All of the following would make a formal proof incomplete except what?
A) A lack of justifications
B) Incomplete sentences
C) Errors in logic
D) Incorrect reasons for statements
Urgent I need this for tonight please!!!
Answer:
b incorrect sentences
Step-by-step explanation:
got it right on my test
Solve each of the following equations.
(4b + 11)(3b - 7) = 0
Answer:
4b = 4(11/4)
3b = 3(7/3)
Find the length of XY.
Answer:
XY = 50
Step-by-step explanation:
Triangle given in the picture,
Point B, C and D are the midpoints of the sides of the triangle.
By applying midsegment theorem in the given triangle,
"Segment joining the midpoints of two sides of a triangle is parallel and half of the length of the third side"
CD = [tex]\frac{1}{2}(XY)[/tex]
25 = [tex]\frac{1}{2}(XY)[/tex]
XY = 50
Therefore, XY = 50 is the answer.
The tax on a property with an assessed value of $90,000 is $1,350. Find the tax on a property with an
assessed value of $140,000.
a. $1500.00
b. $150.00
c. $2100.00
d. $210.00
e. $750.00
Answer:
0.015 or 1.5% tax
Step-by-step explanation:
90000x0.015 = 1350
Find the local maximum and minimum values of f(x)=x^3-6x^2+5
Answer:
Local maxima at x=0
Local minima at x=4
Step-by-step explanation:
A bird leaves its nest and travels 18 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 5 miles left after x hours.
a. What is the distance of the entire trip? (In miles)
b. How long does the entire trip take? (In hours and minutes and seconds)
9514 1404 393
Answer:
60 miles3 hours 40 minutes 0 secondsStep-by-step explanation:
The relation between speed, distance, and time is ...
distance = speed × time
a) The distance the bird traveled downwind is ...
(18 miles/hour)(x hours) = 18x miles
3 miles per hour slower than 18 miles per hour is 15 miles per hour. So the distance in miles the bird traveled after x hours on the return trip is ...
15x = 18x -5
5 = 3x . . . . . . add 5 -15x
x = 5/3 . . . . . .divide by 3
Then the distance traveled downwind is ...
18x = 18(5/3) = 30 . . . . miles
and the time for the return trip is ...
(30 mi)/(15 mi/h) = 2 h . . . . . for the entire return trip
So, the entire round trip is 2×30 miles = 60 miles.
__
b) The time for the entire trip is ...
5/3 h downwind + 2 h return = 3 2/3 h = 3 hours 40 minutes 0 seconds
what is 1/2 x 60 and what is 3/10 x 1,000
1/2 x 60 = 30 3/10 x 1000 = 300
cancel the common factor of 2 simpplify the expression
Answer:
1/2 x 60= 30 and 3/10 x 1,000= 3,000
Step-by-step explanation: