The function pairs are inverses as f(x) = 2x-3 and g(x)=(x+3)/2. The correct answer would be an option (D).
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function. To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
As per the options, we have
f(g(x))=x is expressing f is the inverse of g.
f(g(x))=x is expressing f is the inverse of g but g is not the inverse of f, g(f(x))≠x.
f(g(x))= g(f(x)) is expressing the composition of functions f(g(x)) is equal to the composition of functions g(f(x)), but not necessarily inverses. It doesn't define each equal x.
f(g(x))=x and g(f(x)) =x is expressing f is the inverse of g and g is the inverse of f.
Thus, the function pairs are inverses as f(x) = 2x-3 and g(x)=(x+3)/2.
Hence, the correct answer would be an option (D).
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15 POINTS!!!HELP!! JUST TELL ME THE FORMULA I NEED TO USE !!!
Answer: No.
Step-by-step explanation: It's obviously a quiz of some sort. If it's not, then why would it be timed? Please don't do this :(
Simplify this equation (3√2)²
Answer:
18
Step-by-step explanation:
For every 8ft of cord he can make 3 chains how much does jairon need to
make 12 chains
Answer:
24 ft of cord
Step-by-step explanation:
8ft = 3 chains
16 ft = 6 chains
24 ft = 12 chains
OR
8 x 3 =24
PLS HELP ILL MARK YOU BRAINEST DUE SOON
Answer:
A, B, C, D or simplify all of them
Step-by-step explanation:
Answer:
all 4 of them
Step-by-step explanation:
a. 29x + 92 = 29x - 11
0x + 92 = -11
0x ≠ -103
b. 29x + 11 = 29x - 11
0x + 11 = -11
0x = -22
0 ≠ -22
c. 29x - 29 = 29x - 11
0x = 18
0 ≠ 18
d. 29x + 29 = 29x - 11
0x + 29 = -11
0x = -40
0 ≠ 40
what is y=3x^2+24x+45
1/8 divided by 2 3/4
Answer:
2 and 1/8
Step-by-step explanation:
Reduce fractions where possible.
Then your initial equation becomes 1/8 divied by 1/17.Applying the fractions formula for division, 1 17 over 8 and 1 then multiply those. Then simplfy.
[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex] we get by converting the mixed fraction to improper and divide them both.
The given expression is [tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex].
Convert the mixed number [tex]2\frac{3}{4}[/tex] to an improper fraction.
[tex]2\frac{3}{4} = \frac{2 \times 4 + 3}{4}[/tex]
[tex]= \frac{11}{4}[/tex]
Now, we can rewrite the expression as:
[tex]\frac{1}{8} \div \frac{11}{4}[/tex]
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
[tex]\frac{1}{8} \times \frac{4}{11}[/tex]
Next, let's simplify the multiplication:
[tex]\frac{1 \times 4}{8 \times 11} = \frac{4}{88}[/tex]
We can further simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4:
[tex]\frac{4}{88} = \frac{1}{22}[/tex]
Therefore,[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex].
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a Clydesdale drinks about 120 gallons of water every 4 days. At this rate how many gallons of water does a Clydesdale drink in 28 days?
Answer:
A Clydesdale drinks 840 gallons of water in 28 days.
Step-by-step explanation:
120 gallons/4 days is 30 gallons every day. 30 gallons multiplied by 28 days is 840.
Your free ride to work ends in 14 days. So, maybe you need a car? How much can you afford to spend? Below is what's available at a dealership near you. Which car should you buy? Before you decide, think about this: You do not have enough money in your account to buy a car. You'll have to finance your purchase. You'll have to put down 25% of the vehicle's selling price as a down payment.
Step-by-step explanation:
Kindly find attached a screenshot of the price list of some cars from motor 1 .com since you did not provide any in the question, and let us assume it is the same as what is available at a dealership near you.
From the list, since you don't have enough money in your account to buy a car, I will say you should get a 2017 Nissan Versa for $11,990
and 25% of $11,990 is
(25/100)* 11,990
0.25* 11,990
$2997.5
So you can make a down payment of $2997.5
and pay the remainder of $8992.5 later
4. Solve for :
a) ķx = 4
A car travels 43 km in 56 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.
Answer:
[tex]\displaystyle v=46.07\ Km/h[/tex]
Step-by-step explanation:
Speed
The speed is the ratio between the distance x traveled by an object and the time t taken.
[tex]\displaystyle v=\frac{x}{t}[/tex]
The car travels x=43 Km in t=56 minutes. We are required to express the speed in Km/h. The time needs to be expressed in hours:
[tex]t = 56 / 60 = 0.933\ h[/tex]
Now apply the formula:
[tex]\boxed{\displaystyle v=\frac{43}{0.933}=46.07\ Km/h}[/tex]
Can someone help me out on this?
Answer:
<NMP and <QPR
Step-by-step explanation:
Look up corresponding angle examples. these angles are corresponding.
A person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. Write an equation that shows the relationship between the number of visits x and the total cost y. Write your answer as an equation with y first, followed by an equals sign.
Answer:
y = 6 + x
Step-by-step explanation:
Membership fee = $6
Fee per visit = $1
Let
x = number of visits
y = Total cost
Total cost = fixed cost + variable cost
Fixed cost = Membership fee = $6
Variable cost = Fee per visit × number of visits
= $1 * x
= $x
Total cost = fixed cost + variable cost
y = $6 + $x
y = 6 + x
which expressions are equivalent to 4b?
b+2(b+2b)
3b+b
2(2b)
Answer:
3b+b and 2(2b)
Step-by-step explanation:
BRAINLIEST APPRECIATED!
THANKS!
Help me I need help fast it is due soon!
Answer:
400 square meters
Step-by-step explanation:
We can first solve this problem with each unit representing 1 centimeter, and then scale up at the very end. The shape that we have a parallelogram. The base is 8 cm, and the height is 2 cm. The formula for the area of a parallelogram is just [tex]bh[/tex], so the area of the parallelogram is 16 square centimeters. However, now we scale up. Since each centimeter correlates to 5 meters, each little box will correlate to 25 square meters. Therefore, [tex]16 \cdot 25 = \boxed{400}[/tex] square meters is our answer
If John drove 210 miles in 3 hours, how far will he have
driven in 4.5 hours?
Answer:
3hours and 15 mins
Step-by-step explanation:
210 divied by 3=70
70=per hour
4 hours=280
70 divied by 2= 35
.5=35
280+35=315
315 miles in 4.5 hours
2xー1+2-2
solve this and show work
Answer:
2x - 1
Step-by-step explanation:
2x−1+2−2
=2x+−1+2+−2
Combine Like Terms:
=2x+−1+2+−2
=(2x)+(−1+2+−2)
=2x+−1
Answer:
x = 1/2Step-by-step explanation:
We need to add -1 to each side of this to get rid of the -1 in the equation.
2x - 1 + 2 = 2
2x + 1 = 2
We need to subtract 1 from each side.
2x = 1
x = 0.5
Checking:
2(0.5) - 1 + 2 = 2
1 - 1 = 0 + 2 = 2 (Checks out)
ANSWER: x = 1/2Solving each proportions 10/8=n/10
Answer:
n=12.5
Step-by-step explanation:
10/8=n/10
multiply the denominator and numerators 10 ad 10=100 divide by 8=12.5
what is 30=8+4(z-2) step by step?
30=8+4(z-2)
Distribute 4 through the parentheses
30=8+4z-8
Eliminate the opposites
30=4z
Swap the sides of the equation
4z=30
Divide both sides of the equation by 4
4z÷4=30÷4
Any expression divided by itself equals 1
z=30÷4
or write the division as a fraction
z=30/4
copy the numerator and denominator of the fraction
30=2x3x5
4=2x2
Write the prime factorization of 30
Write the prime factorization of 4
30=2 x3x5
4=2x2
2
Line up the common factors in both lists
Copy the common factors
Since there is only one common factor, the common factor 2 is also the greatest common factor
30÷2/4÷2
2
Divide 30 and 4 by the greatest common factor 2
15/4÷2
Divide the numbers in the numerator
15/2
Divide the numbers in the denominator
15/2
The simplified expression is 15/2
That's it. hope it wasn't too hard to understand?
Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. Margaret uses this theorem to simplify and rewrite the expression (b/r)^2 + (a/r)^2 using the triangle shown. Which trigonometric identity can she prove with her expression? *
Answer:
[tex]cos^2\theta + sin^2\theta = 1[/tex]
Step-by-step explanation:
Given
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2[/tex]
Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2[/tex]
Going by the Pythagoras theorem, we can assume the following.
a = Oppositeb = Adjacentr = HypothenuseSo, we have:
[tex]Sin\theta = \frac{a}{r}[/tex]
[tex]Cos\theta = \frac{b}{r}[/tex]
Having said that:
The expression can be further simplified as:
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex]
Substitute values for sin and cos
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex] becomes
[tex]cos^2\theta + sin^2\theta = 1[/tex]
A designer determined the annual profit in dollars from selling t- shirts using p (n) = 10n - 50, where n the number t-shirts sold. What is the annual profit if the designer sells 100 t- shirts
F. $8,050
G. 10,000
H. 1,000
J. $950
Answer:
J. $950
Step-by-step explanation:
p(n)= 10n-50
p(n)=10(100)-50
P(n)=1000-50
950
which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"
Answer:
Let x be that number.
[tex] - 8 \div (x + 3)[/tex]
The quotient is the result of dividing a number by another. In this case, the numbers are - 8 and x + 3.
1. A day care center has 52 children. Each teacher has the same number
of children. How many children could each teacher at the center
have?
Answer:
It depends on how many teacher has
Step-by-step explanation:
52 children divided by number of teacher
Clara lends half her collection of formal attires to her sister, Susan. Clara then buys four more attires. If she has 12 attires now, how many attires did Clara had initially?
Write the equation to be used to solve this equation.
Answer:
i think 4 attires
Step-by-step explanation:
Which two ratios form a proportion?
3:4 and 6:12
3:4 and 9:15
3:4 and 12:18
3:4 and 15:20
Answer:
3:4 and 15:20
Step-by-step explanation:
The answer is the fourth one because 3:4 and 15:20 are equivalent, so there's your answer. Hope it helps!
Find the surface area of the cube shown below
Answer:
the answer is 37.5cm^2
Early in November, it was 37 O F on a particular day. The temperature has dropped 2 O F every day since then. It is now -11 O F. How many days have passed since it was 37 O F outside?
HELP PLEASEEEE!!
Choose the equation with the correct grouping symbols.
A. 45 + 45 ÷ (3 ÷ 3) = 20
B. 45 + [45 ÷ (3 ÷ 3)] = 20
C. [45 + (45 ÷ 3)] ÷ 3 = 20
D. 45 + (45 + 3 ÷ 3) = 20
Answer:
C
Step-by-step explanation:
(45+(15))/3=20
is 10/2 an irrational number?
Answer:
yes it is because it is expressed in the form of a p/q
Step-by-step explanation:
If a number is expressed in the form of p/q then it is a rational number. Here p and q are integers, and q is not equal to 0. A rational number should have a numerator and denominator. Examples: 10/2, 30/3, 100/5.
so yes 10/2 is a rational number
oh and i mean yes its rational no its not irrational :)
No, it is not an irrational number.
Irrational numbers are those who cannot be turned into a fraction.
10/2 is a fraction. Therefore, it is a Rational number.
[tex]Edit:\;Also,\;if\;you\;were\;to\;make\;it\;a\;whole\;number\;then\;it\;would\;be\:5.[/tex] [tex]Which\;can\:be\;turned\;into\;5/1.[/tex]
To do so, divide the numerator (Top number) by the denominator (Bottom number).
simplify
12+ 1233-987
Answer:
258
Step-by-step explanation:
Answer:
258
Step-by-step explanation:
Follow the order of PEMDAS
What is the choice?
A:1,6
B:2,3
C:3,3
D:1,5
[tex] {x}^{2} - 5x + 6 = 0[/tex]
[tex](x - 3)(x - 2) = 0[/tex]
[tex]x - 3 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x - 2 = 0[/tex]
[tex] \: \: \: \: \: \: \: x = 0 + 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 0 + 2[/tex]
[tex] \: \: \: \: \: \: \: x = 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 2[/tex]
[tex] \green {\boxed{Answer \: B}}[/tex]#IfWrongPleaseReport
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