Given that f(x)=x^2-1
A) find f(5)
B) find f^-1(x)
C)f^-1(8)
Answer:
a) f(5) = 24
b) The inverse of given function
f⁻¹ ( x ) = √x+1
c) f⁻¹ ( 8 ) = √9 =3
Step-by-step explanation:
Explanation:-
Given f(x) = x² - 1
a)
f(5) = 5² -1 = 25-1 =24
b)
put y = f(x) = x² - 1
⇒ y = x² - 1
⇒ x² = y + 1
⇒ x = √y+1
⇒ f⁻¹ ( y ) = √y+1 ( ∵ f⁻¹ ( y) =x)
The inverse of given function
f⁻¹ ( x ) = √x+1
c) put x=8
f⁻¹ ( 8 ) = √8+1 = √9 =3
Solve the equation or formula for the indicated variable.
T=2rh + 2r^2 ; for h
Simplify by combining like terms.
4 1/3 B + 2 3/4 B + 1
Remember to simplify the mixed number!
Enter the number that goes in the green box.
If the relationship is proportional, what is the missing value from the table?
The sales tax of 8% on a purchase of $12 is
A. $0.86
B. $0.96
C. $1.06
D. $1.60
What is the solution to 3(4x - 8) = 4(6 - 3x)?
A)
-4
B)
2
C)
-10
D)
7
B is the correct answer
hope this can help :)
Can someone help me with this question?
Answer:it is A
Step-by-step explanation:
Help I’m losttt!!!......
Answer:
angle JKL is 106
Step-by-step explanation:
an isosceles triangle means two sides are the same and the bottom two angles are the same length. So you would equal the two equations and solve it to get x. Then replace one of the equation's x with the number you got, which would be 5, and solve that. Since both bottom angle are the same, the other angle would be the same degree, 37*. A triangle is 180* total, so subtract that by two 37's and you'll get the answer.
Find the value of x and y
Answer:
Step-by-step explanation:
Step One: We need to find a way to equate either the x terms of the y terms in each equation. ...
Step Two: Take equation b) from equation a) to eliminate the x component. ...
Step Three: substitute the value of y into either equation to find the value of x.
hope this helps!
HELP!!! WILL GIVE BRAINLIEST!!!
If a line passes through the points (3,5) and (1, 2), its slope is_______.If
necessary, use the slash (/) to indicate a fraction.
Answer:
answer: The formula is
(Y2-y1) /(x2-x1)
(3-1)/(5-2)
2/3
Step-by-step explanation:
Have a good day;-)
what is the standard form of (6x^2-8x-7)+(8x^2-76x)
Answer: 14x^2 - 84x - 7
====================================================
Explanation:
The like terms 6x^2 and 8x^2 combine to 14x^2
The like terms -8x and -76x combine to -84x
Nothing pairs with the -7, so its stays as is.
Standard form is where we list the terms in decreasing exponent order. We can think of -84x as -84x^1 and the -7 as -7x^0. So 14x^2 - 84x - 7 would be the same as 14x^2 - 84x^1 - 7x^0. The exponents count down: 2,1,0.
The final answer is a trinomial since it has three terms. It is also a quadratic because the degree (highest exponent) is 2.
solve the equation. 7+3lnx=20
Answer:
Simplifying
7 + 3lnx = 15
Solving
7 + 3lnx = 15
Solving for variable 'l'.
Move all terms containing l to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3lnx = 15 + -7
Combine like terms: 7 + -7 = 0
0 + 3lnx = 15 + -7
3lnx = 15 + -7
Combine like terms: 15 + -7 = 8
3lnx = 8
Divide each side by '3nx'.
l = 2.666666667n-1x-1
Simplifying
l = 2.666666667n-1x-1
Answer:
The answer for " X" would be,
[tex]x = \frac{13}{3in} [/tex]
The answer for "N" would be,
[tex]n = \frac{13}{3ix} [/tex]
Plot the points (0, −5) and (2, 4) on the coordinate plane.
Answer:
Hope i helped
Step-by-step explanation:
The answer is in the picture.
Find f(4)— this means calculate the output of the function when x=4.
F(x)=1
—
X-2
Answer:
(This means find the output of the functions when x = 4) Find x when f(x)=1 (This means find the input that gives an output of 1.) Found 2 solutions by Alan3354, ... John My calculator said it, I believe it, that settles it
Step-by-step explanation:
Alia has a AED 20 gift card for an online music store. All songs at the store have the same price. After Alia buys 3 songs, the balance on the card is AED 16.25. What will be the remaining balance on the card after he buys 5 more songs
Answer:
Remaining balance = AED 13.75
Step-by-step explanation:
Given that:
Amount of gift card = AED 20
Amount left after buying 3 songs = AED 16.25
Cost of 3 songs = 20 - 16.25 = AED 3.75
Cost per song = [tex]\frac{3.75}{3}[/tex]
Cost per song = AED 1.25
Cost of 5 songs = 5(1.25) = AED 6.25
Remaining balance = 20 - 6.25 = AED 13.75
Hence,
Remaining balance = AED 13.75
How do I do this -16x =-160
Answer:
you have to put -160 over -16 then divide and your answer will be 10
so x=10. I hope this helps :)
You have a globe that has a radius of 11 inches. Find the volume of your globe
Answer:5,575.3in cubed
Step-by-step explanation:
The volume of a globe that has a radius of 11 inches would be equal to 5,575.3 cubic inches.
What is the volume of a sphere?A sphere is a three-dimensional shape analouge of a circle.
The volume of a sphere = 4/3πr^3
The radius of the sphere is 11 inches.
The volume of a sphere = 4/3πr^3
= 4/3 x 11 x 11 x 11 x π
= 4/3 x 11 x 11 x 11 x 3.14
= 5,575.3
Thus, The volume of a globe that has a radius of 11 inches would be equal to 5,575.3 cubic inches.
Learn more about sphere;
brainly.com/question/11374994
#SPJ2
Dana surveyed students in her class. She found that 8 earned an A, 6 earned a B, 4 earned a C, and 2 earned a D on the last science test. If she randomly surveys one more student from the class, what is the experimental probability that the student would have earned an A on the test.
Answer:
0.4 or 2/5
Step-by-step explanation:
Dana surveyed 20 students in total and out of those 20 only 8 got an A
so:
[tex]\frac{8}{20}[/tex] now if you simplify it [tex]\frac{4}{10}[/tex] and if you simplify it again:
[tex]\frac{2}{5}[/tex] or 0.4 in decimal
ok so this is fraction what is 5/6 x 3/4
Answer:
5/8
Step-by-step explanation:
The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:
Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6
In which step did the student first make an error and what is the correct step? (5 points)
A. Step 2; 6x − 6 = 2(6 + x + 2)
B. Step 2; 6x − 8 = 12 + 2x
C. Step 3; 5x − 2x = 12 − 6
D. Step 3; 5x + 2x = 12 + 6
Answer:
B. Step 2; 6x - 8 = 12x + 2x
Step-by-step explanation:
Option B is correct, the student first make an error in step 2 and the correct step is 6x − 8 = 12 + 2x.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 2(3x − 4) = 8 + 2x + 4
Two times of three x minus four equal to eight plus two times of x plus four.
The work of student
Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6
The student made a error in step 2.
After applying to the distributive property to the equation
6x-8=8+2x+4
The correct step is 6x-8=2x+12
Hence, Option B is correct, the student first make an error in step 2 and the correct step is 6x − 8 = 12 + 2x.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ3
What are the steps to solving this equation? 4x+20x-8=-2(-12x+8)
Answer: See explanation
Step-by-step explanation:
4x + 20x - 8 = -2 (-12x + 8)
Step 1
Distribute -2 to (-12x + 8)
4x + 20x - 8 = 24x - 16
Step 2
Combine 4x and 20x together
24x - 8 = 24x - 16
Step 3
Add 8 to both sides
24x = 24x - 8
Step 4
Subtract 24x from both sides
0 ≠ -8
That is incorrect so it's not a solution
Hope I helped!
Given: h(t) = 2t - 5,
Solve for the following.
Part A. h(-4) = ?
Part B. h(t) = 23, then t = ?
I
Part C. h(13) = ?
Part D. h(t) = -33, then t = ?
Please show your work
Step-by-step explanation:
Part A:
h(-4) = 2(-4) - 5 = -13.Part B:
h(t) = 23, 2t - 5 = 23, 2t = 28, t = 14.Part C:
h(13) = 2(13) - 5 = 21.Part D:
h(t) = -33, 2t - 5 = -33, 2t = -28, t = -14.The value of h(-4) for the given function is -13.
The given function is h(t) = 2t - 5.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Part A:
Put t=-4 in the given function, we get
h(-4) = 2(-4)-5
= -8-5
= -13
Part B:
Substitute h(t)=23 in the given function, we get
23=2t-5
⇒2t=23+5
⇒2t=28
⇒t=14
Part C:
Put t=13 in the given function, we get
h(13)=2(13)-5
= 26-5
= 21
Substitute h(t)=-33 in the given function, we get
-33=2t-5
⇒2t=-33+5
⇒2t=-28
⇒t=-14
Therefore, the value of h(-4) for the given function is -13.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
I will give brainiest to whoever answers correctly !!
Answer:
-6.08 or 6.08
Step-by-step explanation:
a small refrigerator is a cube with a side length of 12 inches use the formula S= 6s2 to find the surface area of the cube
can someone please help me with this it's the last problem on my exam
Answer:
Surface area of the refrigerator is 864 in².
Step-by-step explanation:
Formula to calculate the surface area of a cube is,
Surface area = 6s²
Here, s = length of a side of the cube
If side length 's' = 12 inches
By substituting this value in the formula,
Surface area = 6(12)²
= 6 × 144
= 864 inch²
Therefore, surface area of the refrigerator is 864 in².
Help me please! 20 POINTS Im using all of mine please help!
Gerry visited a farm and saw a total of 87 chickens and pigs. If there were a total of 248 legs between all of these animals, how many animals were chickens and how many were pigs?
(System of Equations word problem)
There are 18 or 20 pigs if two had 1 missing leg
Step by Step explanationMultiply the chickens by 2 or adding it by the same number since chickens have 2 legs
87
+87
-------
174
After, minus 174 from 248
That is 74
Divide by 4
A circular mirror has a diameter of 22 inches. Which measurement is closest to the area of the mirror in square inches
Answer:
379.94 square inches, or 379.94 in².
Step-by-step explanation:
The area of a circle is π r². The diameter of the circle is listed as 22 inches, and the radius, or "r", is equal to half of the diameter. So, half of 22 is 11.
Since the formula says r², 11 needs to be squared, or multiplied once by itself. 11 x 11 = 121, so the last part of the equation is to multiply 121 by π. Because pi is an irrational number that never ends, it is commonly accepted to use 3.14, or the first three digits of pi, as the value of pi in an equation.
With that, 121 x 3.14 = 379.94, giving a final answer of 379.94 in².
Let me know if I need to change or clarify anything. I hope this helps! :D
Answer:
19.6ft2
Step-by-step explanation:
x times x times x times y times y
Answer:
3x × 2y
Step-by-step explanation:
x*x*x= 3x
y*y= 2y
3x*2y
4 p 2x + 3p 7x
Help please
Answer:
Hope this helps :O
Step-by-step explanation:
Members of the robotics club are ordering shirts with the club logo on the front. They can choose from a T-shirt, a sweatshirt, or a collared shirt
Each type of shirt comes in either red, blue, green, or purple. What is the probability that a club member will order a sweatshirt that is neither
red nor blue?
Answer:33
Step-by-step explanation: because they all have a chance so if you split 100 by three you get the product with a remainder of one that cant be split with out going into decimals
Hope this helps
(x3 + 3x² + x + 6) + (x - 1)
Answer:
x^3 + 3x^2 + 2x + 5
Step-by-step explanation:
combine like-terms