Answer:
Identify the input values.
Identify the output values.
If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Step-by-step explanation:
Answer:
Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Example:
Given f(x) = x2 + 3x – 1, find
a) f(1)
b) f(–1)
c) f(a)
d) f(x – 1)
Solution:
a) f(1) = (1)2 + 3(1) – 1 = 3
b) f(–1) = (–1)2 + 3(–1) – 1 = –3
c) f(a) = a2 + 3a – 1
d) f(x – 1) = (x – 1)2 + 3(x – 1) – 1
= x2 – 2x + 1 + 3x – 3 – 1 = x2 + x –3
The local reader's club has a set of 64 hardback books and a set of 24 paperbacks. Each set can be divided equally among the club members. What is the
greatest possible number of club members?
A. 6
B.192
C. 12
D. 8
Answer:
D
Step-by-step explanation:
Yw UVU
Please help, I don't understand, please
5+(-5)
Answer: 0
Step-by-step explanation: To make this easier, ignore the addition sign (for this one, at least), so just do 5-5
Answer: 0
Step-by-step explanation:
-6(3 + x) + 2(3x + 5) = 0
Answer:
No solution
Step-by-step explanation:
Step 1: Write equation
-6(3 + x) + 2(3x + 5) = 0
Step 2: Solve for x
Distribute: -18 - 6x + 6x + 10 = 0
Combine like terms: -8 ≠ 0
∴ No solution
No answer
Step-by-step explanation:
-6(3+x) Multiply -6 by 3=-18. -18+-6x 2(3x+5) 6x+10
(-18+-6x) + (10+6x) = (-8 = 0).
which equation is equivalent to the given expression
[tex]x {}^{2} - 6x = 8[/tex]
A.
[tex](x - 3) {}^{2} = 17[/tex]
B.
[tex](x - 6) {}^{2} = 20[/tex]
C.
[tex](x - 3) {}^{2} = 14[/tex]
D.
[tex](x - 6) {}^{2} = 44[/tex]
Answer:
[tex](x - 3)^{2} = 17[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 6x = 8 \\ {x}^{2} - 6x + 9 = 8 + 9 \\ (x - 3)^{2} = 17[/tex]
The width of a rectangle is 1/2 of its length. What are the sides of the rectangle if its perimeter is 63 in.? pls help asap i will award brainliest
Answer:
[tex] \boxed{ \sf{length \: of \: a \: rectangle = 21 \: in.}}[/tex]
[tex] \boxed{ \sf{width \: of \: a \: rectangle = 10.5 \: in.}}[/tex]
Step-by-step explanation:
Let the length of a rectangle be ' l '
Width of a rectangle ( w ) = [tex] \sf{ \frac{1}{2} l}[/tex]
Perimeter of a rectangle ( P ) = 63 in.
First, finding the length of a rectangle ( l )
[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + b)}} \:[/tex]
[tex] \dashrightarrow{ \sf{63 = 2(l + \frac{1}{2} l}})[/tex]
Distribute 2 through the parentheses
[tex] \dashrightarrow{ \sf{63 = 2l + 2 \times \frac{1}{2} l}}[/tex]
[tex] \dashrightarrow{ \sf{63 = 2l + l}}[/tex]
Add the like terms : 2l and 3l
[tex] \dashrightarrow{ \sf{63 = 3l}}[/tex]
Swap the sides of the equation
[tex] \dashrightarrow {\sf{3l = 63}}[/tex]
Divide both sides by 3
[tex] \dashrightarrow{ \sf{ \frac{3l}{3} = \frac{63}{3}}} [/tex]
Calculate
[tex] \dashrightarrow{ \sf{l = 21 \: in.}}[/tex]
Length of a rectangle = 21 in.
Now, replacing / substituting the value of l in 1/2 l in order to find the width of a rectangle
[tex] \dashrightarrow{ \sf{width = \frac{1}{2} l}}[/tex]
[tex] \dashrightarrow{ \sf{width = \frac{1}{2} \times 21}}[/tex]
[tex] \dashrightarrow{ \sf{width = 10.5 \: in.}}[/tex]
Width of a rectangle = 10.5 in.
Hope I helped!
Best regards! :D
The region between the graphs of X = y2 and X = 5y is rotated around the line y=5. The volume of the resulting solid is_________.
Answer and Step-by-step explanation:
The volume of the resulting solid is shown below:-
The lines in for
y can be y = sqrt(x) using square root
and y = x ÷ 5
In this, the intersect is done when sqrt(x) = x ÷ 5 using square root
Now
x = x^2 ÷ 25
x = 0
or
x = 25
so outermost is x ÷ 5 innermost is sqrt(x) using square root
Therefore A is
= integral of pi ( (x ÷ 5-5)^2 - (sqrt(x)-5)^2) using square root
from 0 to 25
= 625 pi ÷ 6
the ratio of the number of shaded sections to the number of unshaded sections is 4 to 2 what is the value of the ratio of the number of shaded pieces to the number of unshaded pieces
Answer:
erxytfgnb
Step-by-step explanation:
Suppose PR = 54, solve for QR
We will use the segment addition postulate.
PQ + QR = PR
4x - 1 + 3x - 1 = 54
7x - 2 = 54
7x = 56
x = 8
So QR is 3(8) - 1 or 24 - 1 which is 23.
Answer:
QR is 23
Step-by-step explanation:
PR = 54 Which means:(4x-1)+(3x-1)=54We can solve for x to find what QR is:7x-2 =54 7x=56x=8Plug in x for QR equation:3(8)-1 = 24-1=2323 is the answerYou take your car to an auto repair shop. The charge for repairs is $48 per hour plus the cost of parts. If
the car needs new parts that cost $256 and the final bill was $616, then how long did it take to repair the
car?
Answer:
7.5 Hours
Step-by-step explanation:
48x + 256 = 616
- 256 = -256
-----------------------------------
48x = 360 divide both side by 48
----- -------
48 48
x = 7.5
x + 4 = 13 simple equations
Answer:
9
Step-by-step explanation:
13-4=9
9+4=13
Hey there!☺
[tex]Answer:\boxed{x=9}[/tex]
[tex]Explanation:[/tex]
[tex]x+4=13[/tex]
To find x, subtract 13 by 4.
[tex]13-4=9[/tex]
Let's try substituting 9 for x to see if we get 13.
[tex]x+4=13\\9+4=13[/tex]
[tex]x=9[/tex]
Hope this helps!
Solve for all possible values of x.
Vx+7-11=2
Ox= 6
O x = 20
Ox= 162
Ox = 169
Introduction to interval notation
What is the domain and range?
Answer:
1,7
Step-by-step explanation:
you go up one and over seven and i'll be on the other point
in a survey of 23 college students it was found that 17 were taking an english class 10 were taking a math class and 8 were taking both english and math. how many students were talking a math only class?
a. 6
b. 14
c. 2
d. 4
Answer:
2
Step-by-step explanation:
out of 10 that were taking math 8 of them were also taking english. 10-8=2
C is the midpoint of BD. If BC = 6x and BD = 13x - 6, what is BD?
B.
6x
с
D
13x - 6
Answer:
BD = 72
Step-by-step explanation:
C is the midpoint of BD.
Therefore,
BD = 2BC
13x - 6 = 2*6x
13x - 6 = 12x
13x - 12x = 6
x = 6
BD = 2*6X = 12*6= 72
is 3 2/3 a whole number is it an integer is it an irrational number is it a rational number
How do you do this question?
Answer:
1) ∫₀¹ 2π x (x − x²) dx
4) ∫₀¹ π ((√y)² − y²) dy
Step-by-step explanation:
The solid formed is a hollow, upside down cone. We can either use washer method or shell method to find the volume.
If we use washer method, the thickness of the washers is dy. The outside radius is R = x₂ = √y, and the inside radius is r = x₁ = y.
Therefore, the volume of each washer is:
dV = π (R² − r²) t
dV = π ((√y)² − y²) dy
The total volume is the sum of all washers from y=0 to y=1.
V = ∫ dV
V = ∫₀¹ π ((√y)² − y²) dy
If we use shell method, the thickness of each shell is dx. The radius of each shell is r = x. The height of each shell is h = y₂ − y₁ = x − x².
Therefore, the volume of each shell is:
dV = 2π r h t
dV = 2π x (x − x²) dx
The total volume is the sum of all shells from x=0 to x=1.
V = ∫ dV
V = ∫₀¹ 2π x (x − x²) dx
If f(x)= x+7 and g(x)= 1/x-13
what is 360 x 4500 plsssssssssssssssss help
Answer:
1,620,000
Step-by-step explanation:
360×4500
=1,620,000
is the answer
Hey there!
[tex]Answer:\boxed{1,620,000}[/tex]
[tex]Explanation:[/tex]
[tex]360*4500[/tex]
Let's multiply to get our answer.
[tex]360*4500=1,620,000[/tex]
[tex]1,620,000[/tex]
Hope this helps!
What is the solution to 10(3x−5)=−20
Answer:
x = 1
Step-by-step explanation:
Apply the distributive property. It should now look like this: 30x - 50 = -20Add 50 to each side, so it now looks like this: 30x = 30Divide each side by 30 to cancel out the 30 next to x. It should now look like this: x = 1I hope this helps!
What is -945 x -56? i will mark brainliest if its right!
Answer:
52,920
Step-by-step explanation:
Answer:
52,920^^
Step-by-step explanation:
brains plss
How is adding and subtracting decimals similar to and different from adding and subtracting whole numbers?
Answer:
it is the answer here copy and paste
Step-by-step explanation:
adding and subtracting decimals are different from adding and subtracting whole number because of the values are not going to be the same any more.
extra; example 40.04 has hundredths and 4004 has hundreds.
Answer:
The answer is:
In both types of problems you rewrite the problem vertically, line up the decimals, and add zeros or rename where needed.
Step-by-step explanation:
Edge 2021
Find PUR, given the following sets:
P = {b, d, f, g}
Q = {a, b, c, d]
R = {c, e, f, g}
S = {a, d. g}
Answer:
={b,c,d,e,f,g}
Step-by-step explanation:
={b,c,d,e,f,g}
Answer:
PUR= b, d, f, g, c, e
Step-by-step explanation:
To fid the answer you unite the sets together. When uniting the sets you only write the letter once even if it appears in both sets.
So when we combine p and r the answer we get is:
PUR= b, d, f, g, c, e
HOPE IT HELPED
A candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate. How many kilograms of each kind of chocolate must they use?
Answer:
120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.
Step-by-step explanation:
We are given that a candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate.
Let the amount of 30% fat-content chocolate be 'x' and the amount of 40% fat-content chocolate be 'y'.
So, according to the question;
x + y = 150 ------------ [equation 1]
and [tex]30\% \text{ of } x + 40\% \text{ of } y=32\% \text{ of } 150[/tex]
[tex]30x+40y= 32 \times 150[/tex]
[tex]30x+40\times (150-x)= 4800[/tex]
[tex]30x+6000-40x= 4800[/tex]
[tex]10x = 6000-4800[/tex]
[tex]x=\frac{1200}{10}[/tex]
x = 120 kg
Now, putting the value of x in equation 1, we get;
x + y = 150
120 + y = 150
y = 30 kg
Hence, 120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.
I don’t know how to do it can someone help me?
Answer:f(g(0))= 1/5
g(f(0))= 7
Step-by-step explanation:
for f(g(0))=you solve for g(x) but you plug in 0 for x so g(0)= 8(0)+3
=3
so now you plug in the answer of the function of g(x) witch is 3 and plug it in as the x for F(x) so f(3)= 1/(3)+2
= 1/5
so f(g(0)) is equal to 1/5
Now for G(f(0)) you solve for f(x) by pluging 0 for x so F(0)= 1/(0)+2
=1/2
now you plug in 1/2 for the x of g(x) so g(1/2)= 8(1/2)+3
= 4+3
=7
so g(f(0)) is equal to 7
Hope this helps:)
There are 266 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 31 fans? Division and rounding required of whole numbers.
Exact answer: 8.5
Rounded Answer: 9
help me please this means a lot to my grade
Answer:
Step-by-step explanation:
You know that lines PQ and RS are parallel and line XY is a transverse line. This means that XMP and QMN are equal because they are vertical angles. Now set the equations equal to each other because they are.
10x-7=6x+21 and solve for x
4x-7=21
4x=28
x=7 boom
Perpendicular lines AB and CD intersect at point E. If m ZAED = x+ 20, what is the value of ?
160
110
90
70
Answer: the value would be 90
Step-by-step explanation:
Suppose (-6,- 1) is a point on the graph of y=g(x).
(a) What point is on the graph of y = g(x+4)-5?
(b) What point is on the graph of y= - 49(x-7)+4?
(c) What point is on the graph of y = g(4x + 2)?
(a) What point is on the graph of y = g(x + 4) - 5?
Helppp I don’t understand
Answer:
p = 2L + 2W
total fencing = 100 feet
we have w = 20
then
100 = 2L + 2W
100 = 2L + 2*20
100 -40 = 2L
2L = 60
L= 60/2 = 30
i have trouble dividing
Answer:
I'm Sorry, do you have a question you need help with?
Step-by-step explanation: