Answer: C
Step-by-step explanation: With inverse equations, you switch y and x (y=f(x)) and undo/reverse the steps towards x.
1. Multiply by 3
2. Add 2
Equation by itself
0. x
1. 3(x)
2. 3(x+2)
The inverse of the given function is f⁻¹(x) = 3(x + 2).
What is the inverse of a function?The inverse function of a function f(x) in mathematics is a function that reverses the operation of f(x).
The given function in the question:
f(x) = (x/3) - 2
f(x) + 2 = x/3
x + 2 = f⁻¹(x)/3
f⁻¹(x) = 3(x + 2)
Hence, the inverse of the given function is f⁻¹(x) = 3(x + 2).
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What is a number of subsets for the set which contains the 10 elements.
Answer:
The number of subsets of a set containing 10 elements is 2^10=1024.
Step-by-step explanation:
What is the slope of the line?
Answer:
5/3
Step-by-step explanation:
it should be y/x
you can count 5 up and 3 over
Answer:
8/5
Step-by-step explanation:
You can use the formula [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}}[/tex] with a pair of points [tex](x_{1},y_{1})[/tex][tex](x_{2},y_{2})[/tex]. We can use points (1,4) and (-4,-4). Plugging in the equation we get (4-(-4))/(1-(-4)), which simplifies to 8/5, which is the slope.
Mathematics IV
Nathan receives $28 each month for his allowance. If each month has approximately 4
weeks in it, how much money does he receive each week?
Answer:
$7
Step-by-step explanation:
So since he gets $28 in one month and there are 4 weeks in a month, -->
28/4 = 7 so, $7
Lewis Hamilton completed the first lap at the Monaco Grand-Prix with an average speed of 125 mi/h. His goal is to complete the first two laps with an average speed of 250 mi/h. How fast (in terms of average speed) should his second lap be?
Answer:
infinitely fast
Step-by-step explanation:
To have double the average speed, he must complete the two laps in the same amount of time that he spent completing the first lap. That is, he must complete the second lap in zero time.
Hamilton's average speed for the second lap should be infinite. (He needs to finish it in zero time.)
_____
speed = distance/time
Multiplying by 2, we get ...
2×speed = 2×distance/time . . . . . the time hasn't changed
URGENT HELP NEEDED! YOU WILL GET BRAINLIEST! Convert to a product: cot(α) - 1
Answer:
WHAT
Step-by-step explanation:
How did the temperature change if: at first it decreased by 10 % and then decreased by 30% ?
Answer:
We decreased by 37%
Step-by-step explanation:
Let x be the starting temperature
We decrease by 10 percent which means we are left with 100-10 =90 percent
.90 x
Then we decrease by 30 percent, 100 - 30 = 70
( .90x) * .70
.63x
We have .63 of the original left or 63%
100 -63 = 37
We decreased by 37%
Answer:
37% and it decreased
Step-by-step explanation:
which mathematical operation is represented in the phrase "15 more than q"
A) +
B) ×
C) ÷
D) -
Answer:
[tex]\boxed{OptionA}[/tex]
Step-by-step explanation:
More than always indicates "ADDITION". So the mathematical operation is "+".
Answer:
A. +
Step-by-step explanation:
The key word in the phrase is "more than"
That signifies an increase of value which is addition's main function
If the number that was represented in the phrase is x, then we could write out an equation
x=q+15
5*2568?252+2626*25625-26236
Answer:
if the ? is suppose to be a + then the answer is : 67278106
Step-by-step explanation:
The points in a plane in a fixed distance from a given point
is called a circle. What is the fixed distance called?
a. chord
b. radius
c. diameter
d. not given
Answer:
radius
Step-by-step explanation:
That "fixed distance" is the 'radius' of the circle.
If sin(21°) = 0.36, and cosθ = 0.36, what's the measure of ∠θ? ANSWERS: A) m∠θ = 21° B) m∠θ = 0.36° C) m∠θ = 90° D) m∠θ = 69°
Hey there! :)
Answer:
m∠θ = 69°.
Step-by-step explanation:
If sin (21°) = 0.36 and cos θ = 0.36, the two angles are complementary because the sine and cosine values are equivalent. Therefore:
90 - 21 = 69°.
The correct answer is D) m∠θ = 69°.
< B is opposite
А. АС
B. AB and BC
C. BC
D. ZC
E. AB
F. ZA
The angle ∠B is opposite AC in the triangle.
Option A is the correct answer.
We have,
From the triangle,
There are three angles:
∠A, ∠B, and ∠C.
And,
The sides opposite to each angle are:
AC is opposite ∠B
AB is opposite ∠C
BC is opposite ∠A
Thus,
The angle ∠B is opposite AC in the triangle.
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SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
the equation of the line in slope-intercept form is;
[tex]y=8x-26[/tex]
Step-by-step explanation:
First use the formula for the slope of the segment that joins the two given points:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{6-(-2)}{4-3}=\frac{8}{1} =8[/tex]
now that we have the slope, we can use the point-slope form of a line to find the line with slope 8 that passes through any of the given points, for example through (3, -2):
[tex]y-y_0=m\,(x-x_0)\\y-(-2)=8\,(x-3)\\y+2=8\,(x-3)\\y=8x-24-2\\y=8x-26[/tex]
A rectangular carton has twice the height, one-
third the length, and four times the width of a
second carton. The ratio of the volume of the
first carton to that of the second is
A)16:3
B)3:1
C)8:3
D)3:8
PLEASE HELP WITH THIS(INORDER FOR ME TO GIVE YOU A BRIANLIST,EXPLAIN HOW U GOT IT)(will give brainlist and thanks)(Find the perimeter)
Answer:
7x+10 cm
Step-by-step explanation:
To find the perimeter add up all the sides
There are 5 sides
3x+ 5+ 2x+2x+5
Combine like terms
3x+2x+2x +5+5
7x + 10
The perimeter is 7x+10 cm
What are the zeros of f(x) = x2 + x - 30?
O A. x= -6 and x = 5
B. x= -2 and x= 15
o
C. x= -5 and x = 6
D. x= -15 and x = 2
SS
Answer:
A
Step-by-step explanation:
The zeroes of the function are the x values when f(x) = 0 so we can write:
0 = x² + x - 30
0 = (x + 6)(x - 5) (To factor this we need to find 2 numbers that have a sum of 1 and a product of -30; these numbers are 6 and -5)
x + 6 = 0 or x - 5 = 0 (Use Zero Product Property)
x = -6, 5
Hey there! :)
Answer:
A. x = -6 and x = 5.
Step-by-step explanation:
Given:
f(x) = x² + x - 30
Factor the equation by finding two numbers that sum up to 1 and multiply into -30. We get:
-5, 6
Use these to express this quadratic function in factored form:
f(x) = (x - 5) (x + 6)
Set each factor equal to 0 to solve for the zeros of the equation:
0 = x - 5
x = 5
-------------
0 = x + 6
x = -6
Therefore, the correct answer is A. x = -6 and x = 5.
Find the product of:additive inverse of−5/6, multiplicative inverse of 4/12 and reciprocal of 9/5.
Answer:
25/18
Step-by-step explanation:
Additive inverse of a number X is the number which when is added to X =0
ex: additive inverse of 2 is -2 since 2 +(-2)=0
Multiplicative inverse of a number N is the number which when multiplied by N gives 1
ex: multiplicative inverse of 6/7 is 7/6
6/7*7/6=1
Ex of reciprocal is
5/9 & 9/5
7/6 & 6/7
Additive inverse of -5/6=5/6
Multiplicative inverse of 4/12 is 12/4
Reciprocal of 9/5 is 5/9
(5/6)*(12/4)*(5/9)=25/18
Answer:
(5/6)*(12/4)*(5/9)=25/18
Step-by-step explanation:
The expression 14s(s - 1) can be used to find
the total number of cards created by the ninth
grade students. Based on the given information,
which of the following statements must be true?
Select all that apply.
Answer:
B. The variable s represents the number of students in each class.
C. The coefficient 14 represents the number of classes in the 9th grade.
Step-by-step explanation:
The total number can be found by multiplying the number of the things with the number of people producing it. For example if 5 boys make 5 colored ropes the total number of ropes will be 5*5= 25.
In this question the combinations rule is used for variuos number of classes which are 14. Now we have to find the number of students which are s (s-1). Suppose s= 6 so the number of students would be 6(6-1) = 6(5) = 30
We will multiply the number of classes 14 with the number of students s(s-1) to get the total number of cards produced.
please help for math
Answer:
2.35 m²
Step-by-step explanation:
Divide the shape into shapes you can calculate the area of: a rectangle with a semi-circle on top, minus a square.
1. Calculate the area of the rectangle. Formula for area of a rectangle is length · width
1 m · 2 m = 2 m²
2. Calculate the area of the semi-circle. Formula for a semi-circle is [tex]\frac{\pi r^{2} }{2}[/tex] (use 3.14 for π) (radius is equal to half the diameter)
3.14(0.5)² = 0.785
0.785 ÷ 2 = 0.3925 m²
3. Combine the total area
2 + 0.3925 = 2.3925
4. Calculate the area of the square that will not be painted. Formula for area of a square is s² (side · side)
0.2² = 0.04 m²
5. Subtract the area of the square from the total area
2.3925 - 0.04 = 2.3525
2.3525 rounds to 2.35 m²
how would i do number 2?
Answer:
m=2
Step-by-step explanation:
When you put a number into the inverse of a function (f^-1) you get the original number back.
Ex: f^-1(11) = (11-3)/2 = 4
f(4) = 2×4+3 = 11
So, f(-5)=-2
So, when x is -5,
f(x) = -2
f(x)=m(-5)+8
-2=m(-5) + 8
m=2
plz help!!
will give the brainliest!!
Answer:
x = 3
Inverse matrix:
[tex]A^{-1} = \begin{pmatrix} \frac{1}{9} & \frac{2}{9} \\ \frac{1}{3} & -\frac{1}{3} \end{pmatrix} \quad[/tex]
Step-by-step explanation:
Determinant: ad - bc
a = 3, b = 2, c = 3, d = -1
3 * (-1) - (2 * x) = -9
-3 - 2x = -9
-2x = -6
x = 3
For matrix
[tex]A = \begin{pmatrix}a & b\\c & d\end{pmatrix} \quad[/tex]
the inverse is
[tex]A^{-1} = \dfrac{1}{ad - bc}\begin{pmatrix}d & -b \\-c & a\end{pmatrix}\quad[/tex]
Here we have: det = -9
a = 3, b = 2, c = 3, d = -1
Inverse matrix:
[tex]A^{-1} = \dfrac{1}{-9}\begin{pmatrix} -1 & -2 \\ -3 & 3 \end{pmatrix}\quad[/tex]
[tex]A^{-1} = \begin{pmatrix} \frac{-1}{-9} & \frac{-2}{-9} \\\frac{-3}{-9} & \frac{3}{-9}\end{pmatrix} \quad[/tex]
[tex]A^{-1} = \begin{pmatrix} \frac{1}{9} & \frac{2}{9} \\\frac{1}{3} & -\frac{1}{3}\end{pmatrix}\quad[/tex]
Determine the measure of obtuse angle A. answers: A) 130° B) 122° C) 58° D) 7°
Answer:
B) 122 degrees.
Step-by-step explanation:
Consider the kite :- the 2 angles at the tangents are 90 degrees so we have:
9x - 5 + 14x + 24 + 90 + 90 = 360
9x - 5 + 14x + 24 = 180
23x + 19 = 180
23x = 161
x = 7
So the obtuse angle = 14(7) + 24
= 98 + 24
= 122 degrees.
Simplify: (2 cot(−240°)cos(-1050°)− cot^2(50°)) / (sec^2(40°))
Thanks! (:
Answer:
\frac{2\cot \left(-240^{\circ \:}\right)\cos \left(-1050^{\circ \:}\right)-\cot ^2\left(50^{\circ \:}\right)}{\sec ^2\left(40^{\circ \:}\right)}
Step-by-step explanation:
ok
box plots show the data distributions for the number of customers who used a coupon each hour during a two-day sale. Which measure of variability can be compared using the box plots? interquar
Answer:
A. Interquartile
Step-by-step explanation:
Answer:
A: interquartile range
Step-by-step explanation:
edg2020
I NEED HELP ASAP!!!!! WILL MARK BRAINLIEST!!!!!!
Answer: 16
Step-by-step explanation:
The 7 and the 9.
Look closely
What equation could be used to find the missing leg length a in a right triangle with a hypotenuse of 60 and leg length of 51?
Answer:
Pythagorean Theorem: a² + b² = c² should be used.
Step-by-step explanation:
51² + b² = 60²
b² = 60² - 51²
b = 3√111
b = 31.607
Pythagorean Theorem is used to find any missing side of a right triangle if 2 other sides are present.
Answer:
Pythagoras theorem
EXPLANATION
HYPOTHENUS SQUARE =OPPOSITE SQUARE + ADJACENT SQUARE
i.e 60^2= 51^2+x^2
i.e 3600=2601+x^2
collecting like terms we have
3600-2601=x^2
999=x^2
√999=x
x=31.6
Question 19 of 25
2 Points
If a circle is inscribed in a square, which of the following must be true? Check
all that apply.
A. Each vertex of the square lies inside the circle.
B. The circle is tangent to each side of the square.
o C. The square is circumscribed about the circle.
O D. Each vertex of the square lies outside the circle.
O E. The circle is congruent to the square.
SUBMIT
Answer:
Correct Answers: D,C,B
Step-by-step explanation:
I took the test and got these as the right answers Hope this helped if not I tried
the points plotted below are on the graph of a polynomial. How many roots of the polynomial lie between x=-4 and x=3
Answer:
1 zero: Answer C
Step-by-step explanation:
Keep in mind that the polynomial value is zero at any root. Therefore each point that is a root must lie precisely on the x-axis (where y = 0). In the graph given there is only one such point (Answer C)
Naomi fish is 40 millimeters a humid pig is 25 centimeters long how much longer is the humid pig
Answer:
The humid pig is 210 millimeters longer.
Step-by-step explanation:
Naomi fish= 40 millimeters
Humid pig = 25 centimeters
1 centimeter is equal to 10 millimeters.
Naomi fish - 40 millimeters
Humid pig- 250 millimeters
To find how much lobger the humid pig is subtract 40 from 250.
250-20 = 210
210 millimeters longer.
Answer:
Step-by-step explanation:
we know that
Answers in cm
we know that
Naomi's fish is 40 millimeters long
convert to centimeters
and
her guinea pig is 25 centimeters long
Find the difference
so
The guinea pig is much longer than her fish
Answers in mm
we know that
Naomi's fish is 40 millimeters long
and
her guinea pig is 25 centimeters long
convert to millimeters
Find the difference
so
The guinea pig is much longer than her fish
Pls answer 17 and 18 I will give brainist
Answers:
17. B18. BStep-by-step explanation:
17. We need to understand what an indirect proof is. In an indirect proof, you prove a statement by showing that the negation of the statement is false.
The "then" part of the conditional is the "to prove" statement.
In an indirect proof, we assume the opposite of what we want to prove, this is also called proof by contradiction.
So if we need to prove angle A is not an obtuse angle, we will assume it is and then use the proof format to show that angle A cannot be obtuse.
The answer is B: Assume angle A is an obtuse angle18. This question is asking us to use an indirect proof again. The "then" part of the statement is "KL > JK" and is the "to prove" statement.
We need the opposite of this, which would be assuming that KL < JK.
The answer is B: Assume that KL < JKI'm always happy to help :)Thuy is substituting t = 3 and t = 8 to determine if the two expressions are equivalent.
Answer:
The expressions are not equivalent.
Step-by-step explanation:
The answers would be 196 and 193 for t = 8
The answers would be 76 and 73 for t = 3