Answer:
1.69s^2h/3.
Step-by-step explanation:
New s = 1.3s
New volume = (1.3s)^2h /3
= 1.69s^2h/3.
The function f(x)=x^2+2 is not one to one. Determine a restricted domain that makes it one to one and find the inverse function
Answer:
Hope it helped
Step-by-step explanation:
The restricted domain that makes the given function one to one is (-∞,0] or [0.∞) and the inverse function would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .
What is inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function.
Now the given quadtratic function is,
f(x) = x² + 2
Now vertex of the given quadratic function is (0,2)
Thus the range of the function is [2,∞)
If we restrict the domain of this function to either (-∞,0} or [0.∞), it will become one to one function.
Now the inverse function is given as,
y = x² + 2
Upon interchanging x and y, we get:
x = y² + 2
⇒ y² = x - 2
or, y = ±[tex]\sqrt{x-2}[/tex]
Hence, the inverse function would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .
Thus, the restricted domain that makes the given function one to one is (-∞,0] or [0.∞) and the inverse function would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .
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Solve for x: -2 - 4 > 8
(9th grade Algebra 1)
Answer:
A
Step-by-step explanation:
-2x-4>8
-2x>12
-x>6
x<-6
Answer:
[tex]x < - 6[/tex] (first option)
Step-by-step explanation:
[tex] - 2x - 4 > 8[/tex]
[tex] - 2x > 8 + 4[/tex]
[tex] - 2x > 12[/tex]
[tex] = x < - 6[/tex]
Solve the fraction problems and reduce the answer to its lowest form:-
1)7/10×2/21
2)9/16×10/21
3)11/12×26/55
4)2/6×18/12×2/3
5)5/6×9/10
Answer:
1/1515/5613/301/33/4Step-by-step explanation:
1) 7/10 × 2/21
1/15
2) 9/16 × 10/21
90/336
15/56
3) 11/12 × 26/55
13/30
4) 2/6 × 18/12 × 2/3
72/216
1/3
5) ⅚ × 9/10
45/60
3/4
(7-4) + 17 / -14 + 2 x 5
Answer:
165/14
Step-by-step explanation:
(7-4) + 17 / -14 + 2 x 5
3 + 17/-14 + 2 x 5
3 - 17/14 + 2 x 5
3 - 17/14 + 10
165/14
measure at least pairs of corresponding angles in XJYN and ZSCH using a protractor. Record your measurements to the nearest 5. what do you notice?
Answer:
any file to have a reference?
-6, 20, 4.3, 159/-9
Order from least to greatest
what is 2x-9=5x+12 with the step by step
Answer:
x = -7
Step-by-step explanation:
Please view the detailed answer in the image attached
Answer:
[tex]2x - 9 = 5x + 12 \\ - 3x = 21 \\ x = - 7[/tex]
Step-by-step explanation:
x = -7
Robert wants to buy a digital piano at a yard sale. He makes a scale drawing of his living room. He uses a scale of 1cm in the drawing to 6 inches in the actual room. The width of the digital piano is 54 inches will it fit along the wal. Next to the bookshelf ?
Answer:
It’s 48 just do 8*6=48 I don’t know how I got that answer but Ik it’s right lol
Write a proof. Given x - 2 = 3(x - 4) Prove x = 5
x=5
Step-by-step explanation:
x-2=3(x-4)
x-2=3x-12
12-2=3x-x
10=2x
x=10/2
x=5
Answer:
x = 5
Step-by-step explanation:
x - 2 = 3(x - 4)
x - 2 = 3x - 12
-2x - 2 = -12
-2x = -10
x = 5
Find the perimeter, in units, of the polygon with the given vertices. Plot the points.
Round to the nearest tenth.
5. A(8,0), B(-3, 2), C(10, 2)
6. A(4, -3), B(7, 10), C(-8, 2)
7. A(-5,5), B(5, -5), C(-5, -5)
8. A(4, -3), B(7,10), C(-8, 2), D(-1, -5)
9. A(-4, -8), B(4, -8), C(4, 0), D(0, 3), E(-4, 0)
Answer: 9
Step-by-step explanation:
Plot the points
Find the distance of each side
add the three numbers
9
Answer:
5. 27
6. 43
7. 47
Step-by-step explanation:
if (x+30°) and (180°-2x) are vertically opposite angles . Find the value of x .
Answer:
50
Step-by-step explanation:
x + 30 = 180 - 2x [vertically opposite angles]
x = 180 - 30 - 2x
x = 150 - 2x
x + 2x = 150
3x = 150
x = 150/3
x = 50
Factoring binomials with the difference of squares
Answer:
Step-by-step explanation:
Find the equation of the line that contains the point (1,-5) and has a slope that is undefined. Express the equation using either the general form or the slope-intercept form of the equation of a line.
The equation of the line is
Answer:
x=1
Step-by-step explanation:
Since the slope is undefined, it's of the form x=a and since it passes through (1,-5) the equation is x=1
The equation of the vertical line in slope-intercept form is: x = 1.
What is the Equation of a Vertical Line?A vertical line has an undefined slope and therefore has no y-intercept. the equation of a vertical line is therefore expressed as, x = a, where a is the x-intercept, which is the value of x of the point where the vertical line intersects the x-axis..
Given the point (1, -5), since the line has an undefined slope, the equation in slope-intercept form would be: x = 1.
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where does 0.5 goes on a real number line
Use the distributive property to write an equivalent expression.
8(3v+3w-2)
Answer:
8(3v+3w-2)=(8×3v+8×3w-8×2)
Step-by-step explanation:
8×3v=24v.
8×3w=24w. [24v+24w-16]=(8×3v+8×3w-2×8)
8×(-2)=-16.
Please help me I’ll give a brainliest! Even if you are only able to do one of them it help because I don’t understand how to do it!!!
Answer:
The x which is not in the domain of the function is the root of the denominator
6) x+3=0, x=-3 is the x which is not in the domain of the function
7) |2x+5|=0, x=-5/2 is the x which is not in the domain of the function
8) x^2-16=0, x=±4 are the x which are not in the domain of the function
Whats the answer and the steps
2(3x-4)
Answer:
-24
Step-by-step explanation:
2(3x-4)
6x-8
Which variable is dependent temperature or time of day? Which variable is independent?
Answer:
The temperature depends on the time.
The independent variable is the variable the experimenter manipulates or changes.
Hope it helps you.Lauren bought snacks for her team's practice. She bought a bag of popcorn for $2.37 and a 6-pack of juice bottles. The total cost before tax was $15.45. How much was each bottle of juice?
Answer:
$2.18
$15.45-$2.37=$13.08
$13.08/6
$2.18
HELPPPPPP MEEEE PLESDEEEE
Answer:
7, 5, 1, 3
Step-by-step explanation:
Hope this Helps!
Please mark me Brainliest
write each expression as a single power of 10
Answer:
[tex]{ \underline{ \sf{it \: is \: {10}^{9} }}}[/tex]
Step-by-step explanation:
[tex](10 {}^{4} ). \frac{ {10}^{12} }{ {10}^{7} } = ( {10}^{4} ). {10}^{(12 - 7)} \\ \\ = ( {10}^{4} ). {10}^{5} \\ = {10}^{(4 + 5)} \\ = {10}^{9} [/tex]
Answer:
[tex]10^{9}[/tex]
Step-by-step explanation:
I. [tex]10^{4} * 10^{12-7}[/tex]
= [tex]10^{4} * 10^{5}[/tex]
= [tex]10^{4 + 5}[/tex]
= [tex]10^{9}[/tex]
PLEASE HELP! it's due today
Answer:
[tex]thank \: you[/tex]
integers: 11×11÷[-11÷{12-(13-12)}]
Answer:
121+11 divided 37
hope this helped:)
Answer:
-121
Step-by-step explanation:
You can plug it in to a calculator, or use pemdas: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
34x = 850
just a simple equation. I posted it for no reason in particular.
Answer:
x=25
Step-by-step explanation:
because i divided
Use Distributive property to write the expression without parentheses !
Hi :)
-3(3a + 2) + 3
-9a -6 + 3
-9a -3
Find the coordinates of the midpoint M of ST s(-2,4) t(3,9)
Answer:
M= 3.535
Step-by-step explanation:
Look at the line t then divide by 2
Please answer this
Answer choice
A. Subtraction Property Of Equality
B.Associative Property Of Equality
C.Division Property Of Equality
D.Addition Property Of Equality
Answer:
step 1. Subtraction Property Of Equality
step 2.Associative Property Of Equality
step 3.Division Property Of Equality
9. Tobias ran 3 miles. How many millimeters did he run? (1 mile = 1,610 meters)
Welcome to Brainly! I'm happy to help!
We see that there are 1,610 meters in a mile. However, we are looking for millimeters, not meters. But, knowing the meters will help us out.
A millimeter is a very small measurement. There are 1,000 millimeters in 1 meter. A meter is much larger. So, if we want to convert 1,610 meters to millimeters, there are going to be way more millimeters because they are so minute.
This means that we will have to multiply. We know that there are 1,000 millimeters in 1 meter, so if we multiply our meters by 1,000 (which is basically just adding 3 zeros), we will get the number of millimeters in one mile!
1,610×1,000=1,610,000 (one million six hundred and ten thousand!)
Don't forget that we are looking for 3 miles though, so we can take the number of millimeters in one mile and multiply by three.
1,610,000×3=4,830,000 (four million eight hundred and thirty thousand!)
So, Tobias ran 4,830,000 millimeters!
Have a wonderful day and keep on learning! :D
Find the constant of proportionality (r) in the equation y=rx
Answer:
r = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given the proportional equation
y = rx ← r is the constant of proportion
Divide both sides by x
[tex]\frac{y}{x}[/tex] = r
Use any ordered pair from the table.
Using (8, 2 ) , then
r = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
Answer:
1/4
Step-by-step explanation:
Multiplying the input (x) by (1/4) results in the output. This is direct proportion, and the constant of proportionality is (1/4).
can someone solve this for me?
