Answer:
f^-1(x) = (x +5)/3
also = 1/3 x + 5/3
Step-by-step explanation:
Just to be clear, the ^-1 has nothing to do with negative exponents. It just unfortunately looks the same as a negative exponent.
Anyway, there's three basic steps. First write y instead of f(x). Then switch the x and y. Then solve for y.
f(x) = 3x - 5
write y in place of f(x).
y = 3x - 5
SWITCH x and y.
x = 3y - 5
SOLVE for y.
-3y + x = -5
-3y = -x - 5
y = (-x - 5)/-3
y = (x + 5)/3
OR
y = (1/3)x + 5/3
f^-1(x) = 1/3 x + 5/3
39=7(mod 8)
Is the above statement true or false?
Answer:
True
Step-by-step explanation:
39/8 = 4.875
8*4 = 32
Therefore, 39 - 32 = 7
Solve for the variable and express the answer in set notation.
5x - 4 = 11
Answer: The answer is x=3
Step-by-step explanation:
Let's solve your equation step-by-step.
5x−4=11
Step 1: Add 4 to both sides.
5x−4+4=11+4
5x=15
Step 2: Divide both sides by 5.
5x
5
=
15
5
x=3
Answer:
x=3
Chris can read 50 pages of a book in 1 ½ hours. Based on this rate, how many pages will he read in 4 ½ hours?
Answer:
150
Step-by-step explanation:
50pg=1.5h multiply both by 3 to get 4.5 hours 50x3=150
Answer: 150
hope this helped :)
A steel company sells 144 tons of steel every 3 years.
At this rate, what is the unit rate for the amount of steel sold every year. You can make a ratio table to help you think through this problem.
Answer:
48 tons of steel per year
Step-by-step explanation:
you can make it a ratio problem but you can also divide it
144 tons : 3 years
? : 1 year
take 144/3 and you get
48 tons
so
48 tons : 1 year
Answer:
Unit rate= 36
Step-by-step explanation:
Divide 144 by 4 and you get 36. So, the steel company made 36 tons of steel in 1 year and made 144 tons of steel in 4 years
I need help find the value of x?
Add the two angles and then subtract from 180* to find the missing angle
So,
145* + 15* = 160*
180* - 160* = 20*
Answer: x = 20*
help please it would be nice! and show work
Step-by-step explanation:
Given,GRAM is a parallelogramRG = 19RP = 12AR = 15Solution:i) Since,
Diagonals of a parallelogram bisect each other so,
RM = 2 × RP
=> RM = 2 × 12
=> RM = 24 (Ans)(i)
ii) Since,
Opposite sides of a parallelogram are equal so,
GM = AR = 15
=> GM = 15 (Ans)(ii)
iii) Since,
Opposite sides of a parallelogram are equal so,
AM = RG = 19
=> AM = 19 (Ans)(iii)
Given :
GRAM is a parallelogram where
RG = 19RP = 12AR = 15Solution :
We know that,
Opposite sides of a parallelogram are equal in length.Diagonals of a parallelogram bisect each other.So,
RG = 19
⇢ RG = AM [Opposite sides]
⇢ AM = 19 .
Since,
⠀⠀RP = 12
⇢ RM = 2(RP) [Diagonals bisect each other]
⇢ RM = 2(12)
⇢ RM = 24
Since,
⠀⠀AR = 19
⇢ AR = GM [Opposite sides]
⇢ GM = 15 .
The function g(x) is graphed. Which statements about the function are true? Choose three options. O g(1) = -1 O g(0) = 0 O 94) = -2 -5 O g(1) = 1 O g- 1) = 1 in
Answer:
g(0) = 0
g(1) = 1
g(-1) = 1
Step-by-step explanation:
g(1) = -1 means that when 1 is inputted into the function, the output is -1.
Therefore, y = -1 when x = 1. From inspection of the graph, when x = 1, y = 1, therefore this is untrue.
g(0) = 0 ⇒ y = 0 when x = 0. From inspection of the graph, when x = 0, y = 0. Therefore this is true.
g(4) = -2 ⇒ y = -2 when x = 4. From inspection of the graph, we cannot read when x = 4, but y > 0 when x = 4. Therefore this is untrue.
g(1) = 1 ⇒ y = 1 when x = 1. From inspection of the graph, when x = 1, y = 1. Therefore this is true.
g(-1) = 1 ⇒ y = 1 when x = -1. From inspection of the graph, when x = -1, y = 1. Therefore this is true.
At 3:00 PM a man 5 ft tall casts a shadow 19.5 ft long. At the same time, a tree nearby casts a shadow 93.6 ft long. How tall is the tree?
which statement best explain best explains whether the table represents a linear or non linear function (100 POINTS) HURRYYYY PLSSS
Answer:
It is a linear function because there is a constant rate of change in both the input and output values
Step-by-step explanation:
To determine if the function is linear, calculate the differences between the y values.
If the differences are constant, or the same value, the equation is linear and has a constant slope. If the differences are not the same, the equation is not linear.
difference between y values (output)
7 - 4 = 3
3 - 1 = 3
1 - -2 = 3
⇒ the function is linear
difference between x values (input)
-2 - -5 = 3
-5 - -8 = 3
-8 - -11 = 3
⇒ the function is linear as there is a constant rate of change in both the input and output values
PLEASE PLEASE help me out!!!
Trying to get my grade up
Answer: x=4 and y=1
Step-by-step explanation:
From the first equation, we get y = 9 - 2x. Substitute this into the second equation we get
3x - 4(9 - 2x) = 8
3x - 36 + 8x = 8
11x = 44
x = 4
y = 9 - 2(4)
y = 1
Hope this helps
Question 9
In △QRS , ∠R is a right angle and the measure of ∠S is 22° .
(image below)
Which equation can be used to calculate the measure of ∠Q ?
A
x+22=180
B
x+22=90
C
22−x=180
D
22−x=90
Answer:
i think the answer is b
because,
if x+22=90
x=90-22=68
we know that the sum of the three angles of a triangle is 180
so, that means
90+22+68 should be 180
and it is 180, so the answer must be b
ABC is a right angled triangle AC=18 angle ACB=37 calculate the length of AB
Answer:
10.8
Step-by-step explanation:
sin(37) =AB/AC
Since AC=18
AB= 18sin(37)
Therefore AB=10.8
Find the solutions to the given system of equations: x^2+ y^2= 5 and y=3x + 1
Byron is a wealthy tycoon who makes his money buying and selling stocks. This is an example of _____ income. A. Capital gains b. Earned c. Hourly d. Passive Please select the best answer from the choices provided A B C D.
Answer:
The answer would be A.
Hope this helped :D
Answer:
It is A
Step-by-step explanation:
A moving box is 1 meter wide, 1/2 meter long, and 3/4 meter tall. How many cubic meters can the box hold?
What is the equation of the line that passes through the point (−5,7) and has a slope of -2/5
Answer:
y=-2/5x+5
Step-by-step explanation:
-2/5x because the slope is -2/5
5; solve for B by plugging in x=-5, y=7 into y=-2/5x+B
You’ve analyzed each game. Which game earns you more points?
A: game 1 ( 200 points per hit)
B: game 2 (points double on each hit)
C: It depends
Explain your answer.
Answer:
Game 2
Step-by-step explanation:
Each hit the points would double (point(x2))
Example:
1x2=2, 2x2=4, 4x2=8, 8x2= 16, 16x2=32, and so on.
Answer:
It Depends
Step-by-step explanation:
Sample Answer: For up to 11 hits, Game 1 gives the player higher scores. But for 12 or more hits, Game 2 does. That's because exponential growth eventually exceeds linear growth.
16. In Chapter 5, you discovered that when you construct the three midsegments in a triangle, they divide the triangle into four congruent triangles. Are the four triangles similar to the original? Explain why or why not
Answer:
A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.
Step-by-step explanation:
1. Sam borrowed $3,200 from a credit company. He agreed to pay $110 per month for 5 years. Find the total amount he repaid and the amount of interest he paid.
Answer:
6600?
Step-by-step explanation:
110 x 12 = 1320
1320 x 5 = 6600
(I suck at math)
find the area of each rectangle 8 ft and 4.2 ft
Solve this pls ✨ my teacher is crazy she give us so much work
Answer:
The photo
Step-by-step explanation:
All is wreaten in the photo
The vans store originally cost $65. It is now on sale for $45.50. What is the percent of decrease or discount?
Answer:
the amount of decrease is 30%
Answer: 30
Step-by-step explanation:
$19.50 discount
discount percentage 30%
For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.
Complete the equation below
Answer:
y = 70x
Step-by-step explanation:
y=70x+100 you would get y = 70x
Help me with geometry please
Answer:
7?
........... .. .....
A 21 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground if 14 foot from the base of the building. How high up the wall does the ladder reach
Answer:
15.65 foot
Step-by-step explanation:
Pythagoras theorem can be used
a² + b² = c²
a being 14
b being unknown ( x )
c being 21
hence,
14² + x² = 21²
196 + x² = 441
x = √245
= 15.65 foot (answer)
Emma is an artist and has created seven paintings
Answer:
what is the rest?
Step-by-step explanation:
Find the perimeter of the figure.
Answer:
36 in.
Step-by-step explanation:
The perimeter is the sum of the length of all the sides.
Perimeter of the figure
= 8 +8 +4 +6 +10
= 36 in
You have a coupon for 20% off your total. Your total comes to $45.26. How much will you get off your total?
Answer:
$9.05
Step-by-step explanation:
We need to find 20% of 45.26
20% = 20/100 = 1/5 = 0.2
Of is related to multiplication
So, 20% OF 45.25 is 0.2 times 45.26
0.2 * 45.26 = 9.052
9.052 needs to be rounded to 9.05
The answer is $9.05
Hope this helps :)
Have a great day!
A number from 0 to 9 is randomly selected and then a letter from A to D is randomly selected. What is the probability that the number 3 and a consonant are selected?
Answer:
[tex]\frac{1}{10}*\frac{3}{4} =\frac{3}{40}[/tex]
Step-by-step explanation:
There are 10 numbers 0,1,…9
Probability that 3 is selected is [tex]\frac{1}{10}[/tex]
Again, there are 4 letters A,B,C & D of which 3 are consonants and 1 is vowel. So, probability of selecting a consonant is [tex]\frac{3}{4}[/tex] . Hence, the required probability is [tex]\frac{1}{10} *\frac{3}{4} = \frac{3}{40}[/tex]
Brainliest?!
Find the equation of the exponential function represented by the table below: