Answer:
The answer is f^-1(x)=0^3[tex]\sqrt{x}[/tex]+2
Step-by-step explanation: Now we just change y back to f(x) and add a 0−1 to write it in inverse notation We begin with f(x)= x 3−2 . To find the inverse of any equation, just switch x and y No, before we do that, I'm going to change the equation. I'm going to rename f(x) to y , just so that I don't have to deal with the parentheses or anything. Now, all I have to do is change what f (x) is called, not it's actual value. Anyways, we have y = x 3 − 2 Now we switch x and y and then solve for y Now we've got x = y 3−2 If we add 2 on both sides we have x + 2 = y 3 Now we just need to get y as simple as possible, which we'll do by cube rooting both sides of the equation. That leaves us with y=0 3√x+2 Now we just change y back to f(x) and add a 0−1 to write it in inverse notation
Susan has $65 in her savings account. Her friend coco has &119 in her savings account. Susan plans to add $23 per week. How many weeks until both friends have the same amount saved ?
Answer:
After 10 weeks, Susan will have $295 and CiCi will have $259.
Step-by-step explanation:
Susan: y= 65+23x
CiCi: y = 119+14x
65+23(6)=203
119+14(6)=203
After 6 weeks, Susan and CiCi will both have $203 in their accounts.
65+23(10)=295
119+(14)(10)=259
Therefore, After 10 weeks, Susan will have $295 and CiCi will have $259.
3. The triangular prisms shown below are
similar. What are the values of x and y?
20 cm
4 cm
8 cm
Can some help please fast
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
If you want help, could you take a pic of the prisms. I'd be happy to help then!
Step-by-step explanation:
What is the fifth term of the arithmetic sequence? –3, –1, 1, 3,...
Answer:
5
Step-by-step explanation:
+2
please help me with this , it would mean alot
Answer:
Step-by-step explanation:
21-26. a = v - u / t
=> a = 47 - 19 / 5
=> a = 28 / 5
=> a = 5.6 m/s²
27-32. avg. speed = distance / time
=> 40 m / 10 s
=> 4 m/s
33-38. velocity = distance / time
=> v = 150 / 40
=> v = 15 / 4
=> v = 3.75 m/s
Shoes sold at the Shoe Express are discounted 25% off the original price. If a pair of shoes originally cost $46, calculate the sale price of the shoes
Answer:
$34.50
Step-by-step explanation:
$46*.25 = $11.50
$46 - 11.50 = $34.50
Solution:
We know that:
Discounted price: Original price - (Original price × Discount)Original cost of a pair of shoes: $46Discount: 25%This means that:
Sale price of a pair of shoes: 46 - (46 × 25%)Step-1: Convert "25%" into a fraction.
25% = 25/100 = 1/4Step-2: Find the discounted price.
Sale price of a pair of shoes: 46 - (46 × 1/4)Sale price of a pair of shoes: 46 - (23/2)Sale price of a pair of shoes: 46 - 11.5Sale price of a pair of shoes: $34.5When x=5, the value of the expression 20/-25+x-2(x-10)is
Z is the centroid of UVW
Z is the intersection of the triangle's ______
A. Medians
B. altitudes
C. angle bisectors
D. perpendicular bisectors
Answer: A
Step-by-step explanation:
The intersection point of the medians of a triangle is defined to be the centroid.
The solution is Option A.
The centroid of the triangle UVW is the intersection of the medians of the triangles
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as UVW
Now , the median of the triangle from U is given by
The measure of WY = The measure of YV
The median of the triangle from W is given by
The measure of UX = The measure of XV
And , the point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians
So , median is a line that joins the midpoint of a side and the opposite vertex of the triangle
Hence , the point Z is the intersection of the triangle's medians
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Suppose that y varies directly as the square root of X, and that y = 45 when x = 225. What is y when x = 127 Round your answer to two decimal places if
necessary
Answer:
y=381
Step-by-step explanation:
given: y=45 x=225
y=kx
45=k√(225)
45=k(15)
45=15k
45/15=15k/15
3=k
given: x=127 k=3
y=kx
y=3(127)
y=381
Which shows an equation in point-slope form of the line shown?
y−2=34(x+6)
y−4=43(x−2)
y−4=34(x−2)
y+2=43(x+6)
An equation in point-slope form of the line shown is: C. y - 4 = 3/4(x - 2)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-2 - 4)/(-6 - 2)
Slope (m) = 6/8
Slope (m) = 3/4
At data point (2, 4) and a slope of 3/4, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 4 = 3/4(x - 2)
y - 4 = 3x/4 - 3/2
y = 3x/4 - 3/2 + 4
y = 3x/4 + 5/2
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Type the correct answer in the box
The value of the expression 23+32-3x4-52 divided by 5+(7x4) is
Answer:
50.2
Step-by-step explanation:
First we would do parenthesis and then exponents which they aren't
7 x 4=28
then we would do 3 x 4=12
52 divided by 5=10.4
23 + 32=55 - our 3 x 4
55 - 12=43
so 43 - 10.4=32.6-52 divided by 5
32.6 - 10.4 =22.2
And our last step what is 22.2 + 28=50.2
Hope this helps have a great day:)
Angie's neighbor sells T-shirts. T-shirts usually cost $20.00. This week,
each shirt is on sale for 20% off, plus 13% tax.
Calculate the sale price of one T-shirt with tax.
Answer:
$18.08
Step-by-step explanation:
20% off = 20 x 0.8 = 16
plus tax = 16 x 1.13 = 18.08
Answer:
$18.08
Step-by-step explanation:
20% of $20.00 = 0.2 x 20 = $4
Therefore, the sale price of the t-shirt with 20% off = 20 - 4 = $16
If a sales tax of 13% is then applied, final sale price = 16 x 1.13 = $18.08
Type the correct answer in each box.
Complete the statement, and find the value of xin the diagram.
The quadrilateral shown is a
X=
Answer:
Kite[tex]x=3[/tex]I hope this helps you
:)
The vertex is (4,-4) and the other given point is (3,-2)
Find the quadratic equation
as if you are asking in terms of graph:-(4,-4) lies in quadrant 4th and (3,-2) lies in quadrant 4th only
Select the correct answer.
What is the measure of the indicated central angle ?
A.
60°
B.
None of the above
C.
20°
D.
80°
E.
40°
Answer: E
Step-by-step explanation:
If we divide the polynomial P by the factor x - c and we
obtain the equation P(x) = (x – c)Q(x) + R(x), then we say
that x - c is the divisor, Q(x) is the
and R(x) is
the
Hello
Step-by-step explanation:
hello I'm Filipino people
Brainliest if correct
Answer:
12 divided by 3 is 4
so multiply 1 by 4 and you get... 4
so now its 1/12+4/12 and that comes out to 5/12
Step-by-step explanation:
hope this helps :D
Fiona is planning on moving to Oregon for a new job. She calls a couple rental agencies to find out how much it will cost to rent a truck.
When she called the rental agency A New Beginning, they quoted her that renting truck will cost $40.00 plus $0.15 per mile. Write an equation that gives the cost C of driving the trucky miles. C = 40 + 0.15x b. When she called the rental agency To Infinity and Beyond they quoted her that renting a truck will cost $30.00 plus $0.35 per mile. Write an equation that gives the cost of driving the truck.x miles. C=30+0.35x, c. Graph both equations on the same graph., d. What is the point of intersection? Be sure to show work for finding the point of intersection and lobel it on the graph. e. Interpret the point of intersection. Tell us what it means in a complete sentence.
Answer:
The intersection is at (50,47.50). At 50 miles the cost will be the same. After 50 miles the cost will continue to increase at a greater rate when using To Infinity and Beyond.
6. One game system costs $238. How much will 4 game systems cost?
Answer:
Solution,
1 game cost $238
4 game cost = $238×4
= $952
I think it will help you.
Answer:
$952
Step-by-step explanation:
238×4
952
therefore 4 game system will cost $952.
(-1, 2) is a solution to the following system:
equation image indicator
True
False
Question 7 of 10
What is the solution to this equation?
3(4x+3) = 2x - 5(3 - x) + 2
4
O A. x=-
15
10
O B. x=-22
O
5
O x-
O c. x - 22
15
O x
O D. x = -1
5
Answer:
Option BStep-by-step explanation:
Given Equation :
[tex] \qquad \sf \dashrightarrow \: 3(4x+3) = 2x - 5(3 - x) + 2[/tex]
Using distribute property:
[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 2x - 15 + 5x + 2[/tex]
Adding the like terms we get :
[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 2x + 5x - 15 + 2[/tex]
[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 7x - 13[/tex]
Transposing the variables on the right side and constant terms on the left side :
[tex]\qquad \sf \dashrightarrow \: 12x - 7x = - 13 - 9[/tex]
[tex]\qquad \sf \dashrightarrow \: 5x = - 22[/tex]
Dividing both sides by 5 :
[tex]\qquad \sf \dashrightarrow \: \dfrac{5x}{5} = \dfrac{ - 22}{5} [/tex]
[tex]\qquad \bf \dashrightarrow \: x = \dfrac{ - 22}{5} [/tex]
What is the height of the trapezoid?
Answer:
don't know just wanted my points you stole
Step-by-step explanation:
Can someone please help me out?
Answer:
Step-by-step explanation:
You move up 5 units and down 3 units. You end at (2, 0). Where did you start?
Answer:
(0,0)
Step-by-step explanation:
Do the opposite. (2-5+3,0) is (0,0)
Which of the following represents an exponential function? Select all that apply
Answer:
Option B and C are correct.
Step-by-step explanation:
The two graphs in the second picture are the graphs of exponential functions. You can detect it from the L shaped graphs.
The very first graph represents a linear function. A straight line always represents a linear function. In a Linear function, the change in the values of y is constant throughout in relative to change in x values.
The final graph represents a quadratic function rising on both ends.
Answer:
2 and 3 by my knowledge
Step-by-step explanation:
Find the value of x.
Answer:
These x-values are known as the “roots” or “zeros” of the quadratic. To find these roots, we simply set the quadratic equal to zero and solve for x
Step-by-step explanation:
The function H
gives the height, above the ground, of a point on a spinning wheel. The function A gives the height of a point on a different spinning wheel and is defined by
A(t)=1.2H(3t). Here, t is time in seconds since the wheels started moving. How does the spinning wheel modeled by function A compare to the wheel for H
? Explain how you know.
The expression [tex]A(t) = 1.2\cdot H(3t)[/tex] multiplies the amplitude of [tex]H(3t)[/tex] by 1.2.
Functional analysis for the model of the height of the wheel
The model of the height is represented by the following sinusoidal model:
[tex]H(3t) = D \cdot \sin [B(3t)+E][/tex] (1)
Where:
[tex]D[/tex] - Amplitude[tex]B[/tex] - Angular frequency[tex]E[/tex] - Phase angleThen, the expression [tex]A(t) = 1.2\cdot H(3t)[/tex] multiplies the amplitude of [tex]H(3t)[/tex] by 1.2. [tex]\blacksquare[/tex]
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does 2^5 =5^2 ? Use the drop-down menus to explain
Answer:
No. This is not true.
2x2x2x2x2 = 32
5x5 = 25
Therefore,
2^5 does NOT equal 5^2.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Question reads....}[/tex]
[tex]\mathbf{Does\ 2^5 = 5^2?\ Use \ the\ drop-down\ menus\ to \ explain}[/tex]
[tex]\huge\textbf{Breaking down the first equation:}[/tex]
[tex]\mathbf{2^5}\\\\\mathbf{= 2\times 2 \times 2 \times 2 \times 2}\\\\\mathbf{= 4 \times 4 \times 2}\\\\\mathbf{= 16 \times 2}\\\\\mathbf{= 32}[/tex]
[tex]\huge\textbf{So, the first choice \boxed{answer} is:}[/tex]
[tex]\huge\boxed{\mathsf{2\times2\times2\times2\times2}}\huge\checkmark[/tex]
[tex]\huge\textbf{Answering number 2:}[/tex]
[tex]\mathbf{Since, your\ 2\ expressed\ 5\ times, so\ your\ answer\ should\ be: }\\\\\\\huge\boxed{\textsf{Only factor is 2}}\huge\checkmark[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\huge\textbf{Breaking down the second equation: }[/tex]
[tex]\mathbf{5^2}\\\\\mathbf{= 5\times5}\\\\\mathbf{= 25}[/tex]
[tex]\huge\textbf{So, the third choice \boxed{answer} is:}[/tex]
[tex]\huge\boxed{\mathsf{5\times5}}\huge\checkmark[/tex]
[tex]\huge\textbf{Answering number 4:}[/tex]
[tex]\mathbf{Since, your\ 5\ expressed\ 2\ times, so\ your\ answer\ should\ be: }\\\\\\\huge\boxed{\textsf{Only factor is 5}}\huge\checkmark[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\mathbf{2^5 \neq 5^2}\\\\\\\mathbf{32 \neq 25}[/tex]
[tex]\large\text{Since }\rm{2^5}\large\text{ and }\rm{5^2}\large\text{ have }\large\boxed{\textbf{ no common factors }},\large\text{ they \boxed{\textbf{ are not }}}\large\text{ equal.}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
RJ has two loans. Loan H has a nominal rate of 5.68%, compounded daily. Loan I has a nominal rate of 6.33%, compounded monthly. Which loan's effective rate had the greater increase, relative to its nominal rate, and how much greater is its increase than that of the other loan?
a.
Loan I’s increase was 0.03 percentage points greater than Loan H’s.
b.
Loan I’s increase was 0.68 percentage points greater than Loan H’s.
c.
Loan H’s increase was 0.16 percentage points greater than Loan I’s.
d.
Loan H’s increase was 0.49 percentage points greater than Loan I’s.
Answer:
The correct answer for this question is:
The loan's effective rate that had the greater increase, relative to its nominal rate, and how much greater is its increase than that of the other loan is that 'loan H’s increase was 0.16 percentage points greater than Loan I’s.
Step-by-step explanation:
Answer:
A: Loan I’s increase was 0.03 percentage points greater than Loan H’s.
Does this represent a linear relationship or
exponential relationship?
Input Output
3 5
4 7
5 9
6 11
Answer:
It represents a linear relationship
Step-by-step explanation:
Linear relationship:
- constant change in x and y
Exponential relationship:
- constant change in x
- constant ratio of y
We see that 3, 4, 5, and 6 are a constant change in x as it's going up by +1.
It also has a constant change of y +2.
Simplify the expression to a polynomial in standard form: (4x-3)(3x^2-2x+1)
Somebody please help
Answer:
[tex] {12x}^{3} - 17x^{2} + 10x - 3[/tex]