The required function is [tex]y = -\frac{3}{2} x -36[/tex] having domain and range as R and y-intercept is -36.
Given function
y=f(x) = [tex]-\frac{2}{3} x -24[/tex]
What is an inverse function?An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function that gives output y, then the inverse function of y, i.e. f-1(y) will return the value x.
In order to get inverse function [tex]f^-1x[/tex] let us arrange the given function
[tex]y+24 = -\frac{2}{3} x[/tex]
[tex]x = -\frac{3}{2} y-36[/tex]
Now, replace x with y and vice versa.
[tex]y = -\frac{3}{2} x -36[/tex]........(1)
or, [tex]f^-1x = -\frac{3}{2} x -36[/tex]
(1) will be the inverse function of the given function.
For x-intercept put y = 0 and for y-intercept put x=0 in eq(1)
x-intercept = -24
y-intercept = -36
The domain and range of f⁻¹x = set of all real numbers since f⁻¹x is a straight line equation, domain, and range of which is set of all real numbers.
Therefore, the required function is [tex]y = -\frac{3}{2} x -36[/tex] having domain and range as R and y-intercept is -36.
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Answer:
d and e
Step-by-step explanation:
did the test
I do not know this answer
A bag contains 5 orange marbles, 7 green marbles, and 8 blue marbles, where 3 of the orange marbles have white stripes, 1 of the green marbles has
white stripes, and 5 of the blue marbles have white stripes. Which of the following are true statements?
The probability that a randomly selected marble is orange or has white stripes is 0.85.
The probability that a randomly selected marble is orange or does not have white stripes is 0.7
The probability that a randomly selected marble is green or has white stripes is 0.75
The probability that a randomly selected marble is green or does not have white stripes is 0.6.
The probability that a randomly selected marble is blue or has white stripes is 0.25.
The probability that a randomly selected marble is blue or does not have white stripes is 0.375.
Answer:
Step-by-step explanation:
quora.com/A-bag-contains-5-black-marbles-7-blue-marbles-3-green-marbles-4-red-marbles-and-1-white-marble-A-marble-is-selected-and-then-replaced-and-a-second-marble-is-chosen-What-is-the-probability-of-selecting-a-black-marble
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What is the distance from A to B?
Answer:
15 units
Step-by-step explanation:
(-6,-3) (6,6)
x1 = -6 x2=6 y1=-3 y2=6
Distance:
[tex]\sqrt{(y2-y1)^{2}+(x2-x1)^{2} } \\\\\\\sqrt{(6-(-3))^{2}+(6-(-6)1)^{2} } \\[/tex] = 15 units
Answer:
is 15
Step-by-step explanation:
B(6, 6) A(-6, -3)
6+6=12
-6 -3=3
but the answer is 12 + 3 = 15 unit
Y=5/7x-4
Must solve use the answer to make a line on a graph
Answer:
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000
y-intercept = 5/1 = 5.00000
Calculate the X-Intercept :
When y = 0 the value of x is 5/7 Our line therefore "cuts" the x axis at x= 0.71429
x-intercept = 5/7 = 0.71429
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is -9.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -9.000 - 5.000 = -14.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -14.000/2.000 = -7.000
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What is the value of x?
The value of x is .
Answer:
38*
Step-by-step explanation:
verticle angles are always going to be equivilent so the opposite of x is 38 so x also =38
The measure of angle x from the intersecting lines is x = 28°
What are the angles formed by 2 intersecting lines?Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Given data ,
Let the lines represented by the figure be intersecting lines
And , the missing angle from the first straight line be y
where y = 180° - ( 38° + 90° )
On simplifying , we get
y = 52°
Now , the measure of x is given by
90° + y + x + 10 = 180° ( angles on a straight line )
On simplifying , we get
90 + 52 + 10 + x = 180
Subtracting 152 on both sides , we get
x = 28°
Hence , the measure of angle is x = 28°
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What is the volume of this hamsta snacks box with a width of 1 1/2 inches , a length of 2 1/2 inches , and a height of 4 inches
bye lol bts
Step-by-step explanation:
11/2 inches a length (L×b ) and hieght is 6'2 I guess
Teresa has 800 milliliters of water. Sara has 5 liters of water. Without converting units, tell why Sara has more water than Teresa. Then show how much more water more Sara has.
Answer:
Step-by-step explanation:
You can't do this without some conversion of units. You can do it with just the definition of a Liter
1 Liter has 1000 mL
1000mL > 800 mL
5 Liters requires a conversion
5 Liters = 5 * 1000 = 5000 mL
Difference = Sara - Teresa use to determine how much more Sara has
Difference = 5000 - 800
Difference = 4200
Sara has 4200 more mL than Teresa
Calculate the area of the figure below.
Answer:
164 cm²
Step-by-step explanation:
Take the 2 shapes and find the areas
Triangle area = (bh)/2
13 × 8 × 0.5 = 52
Rectangle area = 16 × 7 = 112
Add up the areas
112 + 52 = 164
I need help with this simple math problem. ^_^
Answer:
The answer to this question is A
[tex] \frac{50x24}{16?} = 24[/tex]
The measure of ∠2 is 90°. Which of the
following statements is not true about the
diagram below?
Answer: C
Step-by-step explanation:
16. Which transformation, when performed on the triangle ABC, will result in the transformed figure
A'B'C' being similar but NOT congruent to the original triangle?
a. A reflection over the x-axis
b. A dilation by a scale factor of 2
C. A translation two units to the right
d. A rotation 90° clockwise about the origin
Answer: B
Step-by-step explanation:
Dilations are not rigid motions.
My bed is 3 inches by 2/3 inches wide by 1/3 inch. What is the volume of my bed?
Answer:
6/9 inches
Step-by-step explanation:
3/1 × 2/3 × 1/3 = 6/9 inches
Step-by-step explanation:
the answer is 2.67 inches
(04.06 LC)
The first four terms of a sequence are shown below:
9,5, 1,-3
Which of the following functions best defines this sequence?
an = an-1-4; where a1 = 9
an = an-1 +5; where a1 = 9
an = an-1 +4; where a1 = 9
O
an = an-1-5; where a1 = 9
Answer:
[tex]a_n=a_{n-1}-4.[/tex]
Step-by-step explanation:
1) if the given sequence is 9;5;1;-3, then a₁=9; a₂=5; a₃=1 and a₄=-3 and
2) the difference is -4.
3) if the difference is -4, then the correct answer is A: aₙ=aₙ₋₁ - 4.
AP Calc AB Evaluate the integral. Image provided, please help! Will mark Brainliest
Answer:
21
Step-by-step explanation:
Evaluate the integral from -3 to 0.
Anti derivative of 4 is 4x.
[tex]4(0) - 4( - 3) = 12[/tex]
Evaluate the next integral from 0 to 3.
Anti derivative of 6-x^2. is
[tex]6x - \frac{ {x}^{3} }{3} [/tex]
Now we do,
[tex](6(3) - \frac{3 {}^{3} }{3} ) - 6(0) - \frac{ {0}^{3} }{3} [/tex]
[tex]18 - 9 - 0[/tex]
[tex]9[/tex]
Add up the areas.
9+12=21
the la dodgers hit the most homeruns in 2014 the number of homeruns accounted for is 6% of the entire major league baseball homerun count if 583 total homeruns were hit approximatley how many did the la dodgers hit
Answer:
583x6%=34.98 so approximately 35
THE FASTEST AND CORRECT ANSWER GETS BRAINLIEST!!! ANSWER TO GET BRAINLIEST!!!!!!!!!
Answer:
9 minutes
Step-by-step explanation:
First, you will want to add up all the time spent per problem.
3(9.5)+2(8.25)=45
Then, divide 9 from 45. 45÷5=9.
Therefore, she would have spent 9 minutes per problem.
Justine answered 68 questions correctly on and 80 question test. Express this amount as a fraction percent and decimal
Answer: 0.85 or %85
Fraction = 68 over 80 divide by two twice 17 over
20
Percent = 68/80 = 0.85 x 100 = 85%
Decimal = 0.85
Answer:
Percentage: 85%
Decimal: 0.85
Fraction: 85/100 or simplified version is 17/20
Find the value of x in the triangle
Answer:
x = 29 degrees
Step-by-step explanation:
We know that all of the angles inside of a right triangle add up to 180. We also know that a right angle is 90 degrees. We can do 61 + 90 = 151. 180 - 151 = 29. This means that x = 29 degrees.
Answer:
29°Step-by-step explanation:
the sum of the interior angles in a triangle is 180°
from the picture you have 1 angle of 90° and 1 angle of 61°, sum and you find the "x".
180 - 90 - 61 = 29°
ILL GIVE BRAIN IF RIGHT. PLEASE SOMEONE WHI IS GOOD AT MATH HELP.
Answer:
you'll give BRAIN?????
Step-by-step explanation:
A restaurant has a policy in which an automatic gratuity of 18% is added to a table's bill when the table has 8 or more people. A bill for a large table comes to $510 before the gratuity is added. The total cost of the meal is divided evenly among 15 people at the table. How much does each person pay?
please help.
Answer:
40 dollars and 12 cents
Step-by-step explanation:
So since there are more than 8 people on the table, we can say that there will be an 18% gratuity that will be added to the final bill.
510+18%(510)
510+0.18×510
510+91.8
601.8$ is the total bill
since there are 15 people
601.8/15=40.12
Multiply.
5x^2 - 6x + 2
4x^2– 3x
Answer: 20x^4-39x^3+26x^2-6x
what are all the values that have the same amount as 20 divided 5
Answer:
1/4 3/12 2/8
Step-by-step explanation:
Please give brainlyist
What is the opposite or inverse operation of
subtraction?
division
addition
multiplication
subtraction
Answer: Addition
Additon and subtraction are opposites.
Answer:
I think B.)addition but I am pretty sure
If the radius of a circle is 0.6 m, what is A?
Ellen purchased a dishwasher, which cost $315 before the 9. 22% sales tax. She used the machine an average of 10 times per week for the next six years, at which point she replaced it. Each time she ran the dishwasher it cost her $0. 09 for water and $0. 13 for electricity. What was the lifetime cost of Ellen's dishwasher? a. $1,030. 44 b. $686. 40 c. $1,093. 73 d. $749. 69 Please select the best answer from the choices provided. A B C D.
The entire cost is the sum of the dishwasher after sales tax, water, and electricity is 1030.44 dollars.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Ellen purchased a dishwasher, which cost $315 before the 9. 22% sales tax.
She used the machine an average of 10 times per week for the next six years, at which point she replaced it.
Each time she ran the dishwasher it cost her $0. 09 for water and $0. 13 for electricity.
The cost of a dishwasher after sales tax will be
Cost = 1.0922 × 315 = $ 344.043
The running total time of dishwasher in 6 years will be
Total running time = 10 × 52 × 6
Total running time = 3120
She ran the dishwasher 3,120 times in 6 years.
The cost of water in these six years will be
Cost of water = 0.09 × 3120 = $ 280.8
The cost of electricity in these six years will be
Cost of electricity = 0.13 × 3120 = $ 405.6
The entire cost is the sum of the dishwasher after sales tax, water, and electricity will be
Entire cost = $344.043 + $280.8 + $405.6 = $1030.44
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4. Solve 1 - 2x - 1 = -10.
O A. X = -9
O B. X = 5
O C. X= 9
O D. No solution
Answer:
x = 5
Step-by-step explanation:
1 - 2x - 1 = -10
- 1 - 1
-2x -1 = -11
+1 +1
-2x = -10
/-2 /-2
x = 5
Answer:
B.) x=5
Step-by-step explanation:
move 1 and -1 to the other side with -10 and change signs
-2x=-10+1-1 -> +1-1=0
-2x=-10
+2x=+10 divide both sides by 2
2x/2=10/2
x=5
Please help with this
No fake answers!
Euler's formula, V – E + F = 2 relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron. How many faces does a polyhedron with 5 vertices and 8 edges have?
Answer:
V + F - 2 = E
Step-by-step explanation:
V - E + F = 2 --- add E to both sides
V + F = 2 + E --- subtract 2 from both sides
V + F - 2 = E
Hope this helps! :)
can someone tell me the answer?
Answer:
[tex]\frac{15}{7}[/tex]
Step-by-step explanation:
•5/7 ÷ 1/3
5/7 × 3 = 15/7
• ? × 1/3 = 5/7
? = 5/7 × 3
? = 15/7
A ferris wheel has a circumference of 100*pie meters. When
the ferris wheel has rotated 45° How high are you off the
ground?
If the ferris wheel has rotated 45 degrees, you will be 50 meters high off the ground
Circumference of a circleThe formula for calculating the circumference of a circle is expressed as:
C = 2πr
where;
r is the radius100π = 2πrr = 50 metersIf the Ferris wheel has rotated 45°, the height is calculated as:
tan 45 = H/50
H = 50tan 45
H = 50
Hence you are 50 meters high off the ground
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The height of the ferris wheel off the ground if it has rotated 45° is 12.5π meters
What is a circle?A circle is the locus of a point such that its distance from a fixed point known as the center is always constant.
Given the circumference of the wheel is 100π m.
Since the ferris wheel has rotated 45°, hence:
Height above the ground = (45°/360°) * 100π = 12.5π meters
The height of the ferris wheel off the ground if it has rotated 45° is 12.5π meters
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p(t) = 4t – 1, what is the value of p(4)?