Answer:
[tex]f^{-1} (x)=x^{2} -3[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\sqrt{x+3}[/tex]
We can find the inverse function by exchanging x and y, and then solve for y.
[tex]y=\sqrt{x+3}[/tex]
Replace x with y.
[tex]x=\sqrt{y+3}[/tex]
square both sides
[tex]x^2=y+3[/tex]
[tex]y=x^2-3[/tex]
Hence,
[tex]f^{-1} (x)=x^{2} -3[/tex]
A team of runners is needed to run a 1/4 mile relay race . If each runner must run 1/16
mile. How many runners do they need to run the race?
Answer:
4 runners
Step-by-step explanation:
3x-1/5=x+1/3 solve for x
Answer:
x = 2
Step-by-step explanation:
First, you cross multiply then that will give you
9x - 3 = 5x + 5
collect like terms
9x - 5x = +5 + 3
= 4x = 8
Divide both sides by the coefficient of x that's 4
= 2
Write an expression that can be used to determine the total cost of buying g pounds of granola for $3.25 per pound and f pounds of flour for $0.74 per pound. (Do not enter dollar signs or spaces in your expression.)
Answer:
3.25g + 0.74f = t
Of the 345 7th graders in music programs, 35% are in choir, 25% are in orchestra and the remaining are in band. How many 7th graders in music programs are in band?
Answer: 138
Step-by-step explanation:
Number of 7th graders in music programs = 345
Percentage in choir = 35%
Percentage in orchestra = 25%
Percentage in band = 100% - (35% + 25%) = 100% - 60% = 40%
The number of 7th graders in music programs are in band will then be:
= Percentage in band × Total 7th graders
= 40% × 345
= 0.4 × 345
= 138 students
PLEASE HELP ME OUT! WIL GIVE BRAINLIEST TO ANYONE WHO ANSWERS BOTH OR ATLEAST ONE AND SHOW WORK!! THANK YOUU
Answer 1 is the attached pic
Answer:
16
Step-by-step explanation:
(-2i)(8i)
(2(cos(3π/2)+i×sin(3π/2)))×(8(cos(π/2)+i×sin(π/2)))
2×8(cos(3π/2+π/2)+i×sin(3π/2+π/2))
16(cos(2π)+i×sin(2π))
16(cos(0+2π)+i×sin(0+2π))
16(cos(0)+i×sin(0))
16(alternate form)
PLEASE HELP MEEEEEEEEEE! NEED HELP FAST!! WILL GIVE BRAINLIEST!!! CORRECT ANSWERS ONLY PLEASEEEEEE!!!!!!
If 2+sqrt3 is a polynomial root, name another root of the polynomial, and explain how you know it must also be a root.
Answer:
7
Step-by-step explanation:
Please help I have no idea what the answer is
Answer:
x = 59
Step-by-step explanation:
All the angles in a triangle add up to 180
Add all the known angles
83 + 38 = 121
To find the third angle, subtract the total of all the angles by the total of the known angles
180 - 121 = 59
PLEASE ANSWER I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!
Answer:
1) third point
2) no is the answer
f(x)=3x−5 and g(x)=x2 Find (f°g)(3)
Answer:
22
Step-by-step explanation:
3!(3)^2-5
3÷9-5
37-5=22
F a seed is planted, it has a 75% chance of growing into a healthy plant. If 9 seeds are planted, what is the probability that exactly 2 don't grow?
Answer:
0.3
Step-by-step explanation:
Given that:
Probability of growing into a healthy plant = probability of success (p) = 75% = 0.75
Number of seeds planted(n) = 9
Probability that exactly 2 don't grow is equivalent to having 7 that grows (9 - 2) = 7 = r
Using binomial distribution formula :
nCr * p^r * (1 - p)^(n-r)
9C7 * 0.75^7 * (1 - 0.75)^(9 - 7)
9C7 * 0.75^7 * 0.25^2
36 * 0.13348 * 0.0625
= 0.3003387
= 0.3
Hence, probability that exactly 2 don't grow is 0.3
What is the length of the unknown side of the right triangle?
A right triangle with hypotenuse x and legs 21 and 20
21
29
400
441
According to Pythagoras theorem,
h² = b² + h²
=> x² = 21² + 20²
=> x² = 441 + 400
=> x = √841
=> x = 29
Thus, the length of the unknown side is 29 units.
Solve for X. -15 = 22x + 7
Answer: x=-1
Step-by-step explanation: Here is one way of answering this question. First you need to subtract 7 from both sides and that will leave you with -22=22x. Then you just divide 22 on both sides. So that will give you an answer of -1=x or x=-1
Brad buys two packages of mushrooms. He paid $11.25 for 2/3 lb of Cremini mushrooms and $7.99 for 1/2 lb of Chanterelle mushrooms. Which mushroom cost less per pound?
Cremini mushrooms cost less by $0.10
Chanterelle mushrooms cost less by $0.10
Chanterelle mushrooms cost less by $0.90
Cremini mushrooms cost less by $0.90
Answer:
C. (Chanterelle mushrooms cost less by $0.90)
Step-by-step explanation:
Divide 11.25 by 2/3, for the total amount of pound for the Cremini.
Do the same thing for Chanterelle, but the numbers given for it.
We than find out that Cremini=16.87, and Chanterelle=15.98
Now that we know Cremini is more that Chanterelle, we need to find the difference, by subtracting The bigger number by the smaller number.
Our answer is 0.89, but we will round it to 0.90.
Now we know that the Cremini costs more by $0.90, and the Chanterelle costs less by $0.90
Answer:
Step-by-step explanation:
Cost of 1 lb of Cremini mushrooms= 11.25×3/2=33.75/2=16.875 $≈$16.88
Cost of 1 lb of Chanterelle mushrooms=7.99×2/1=$15.98
Chanterelle mushrooms cost 16.88-15.98=$0.90 less
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Answer:c
Step-by-step explanation:
What number was added to 8 to get a sum of -4?
Answer:
-12
Step-by-step explanation:
8+(-12)=-4
evaluate the function f (x)=-2x+3 for x=-1
Answer:
f ( - 1 ) = 5
Step-by-step explanation:
Step 1:
f ( x ) = - 2x + 3 Function
Step 2:
f ( - 1 ) = - 2 ( - 1 ) + 3 Input x value
Step 3:
f ( - 1 ) = 2 + 3 Multiply
Answer:
f ( - 1 ) = 5 Combine Like Terms
Hope This Helps :)
HELP IS NEEDED
Allen’s score in a video game was changed by -125 points because he missed some targets. He got -25 points for each missed target. How many targets did he miss?
Group of answer choices
3,125
5
25
100
Answer:3,125
Step-by-step explanation:
A would be the answer
WHICH GRAPH SHOWS A FUNCTION AND ITS INVERSE.
brainliest plz hurry timed test!!
A slope is also known as the gradient of a line. The correct option is B.
What is Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
slope = (y₂-y₁)/(x₂-x₁)
Since for the two functions to be inverse of each other, the line of equations must bisect each other at 90° so that the product of the slope of the two equations is equal to -1.
For the second graph, the slope of the blue line is,
m₁ = (-1-0)/(0-4) = 0.25
The slope of the green line is,
m₂ = (-4-0)/[0-(-1)] = -4
Now, the product of the slope can be written as,
0.25×-4 = -1
Since the product is -1, the function is inverse of each other.
Hence, the correct option is B.
Learn more about Slope of Line:
https://brainly.com/question/14511992
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PLEASE HELP
Solve for x 9^(x+2)=27^(8)
Answer:
I believe the answer is x=10
Hope this is correct! :)
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[tex] {9}^{(x + 2)} = {27}^{8} \\ [/tex]
[tex]( { {3}^{2} })^{x + 2} = ({ {3}^{3} })^{8} [/tex]
[tex] {3}^{2 \times (x + 2)} = {3}^{3 \times 8} [/tex]
[tex] {3}^{2(x + 2)} = {3}^{24} [/tex]
Thus :
[tex]2(x + 2) = 24[/tex]
Divide sides by 2
[tex] \frac{2(x + 2)}{2} = \frac{24}{2} \\ [/tex]
[tex]x + 2 = 12[/tex]
Subtract sides 2
[tex]x + 2 - 2 = 12 - 2[/tex]
[tex]x = 10[/tex]
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The price of nails, n, is $1.29 per pound, the price of washers, w, is $0.79 per
pound, and the price of bolts, b, is $2.39 per pound. Write an expression to
represent the total price of the supplies.
Answer:
Total price (P) = 1.29n + 0.79w + 2.39b
where n,w and b are pounds of respective items
Step-by-step explanation:
How many sides does a decagon have?
sides
Answer:
It has 10 sides.
Step-by-step explanation:
Answer:
12 sides.
Step-by-step explanation:
A good way to remember this is "decagon" is called that because it has 12 sides, and the month December is the 12th month of the year.
4. The fire was very big
so many firefighters were there.
a. Independent Variable:
b. Dependent Variable:
Answer:
B. Dependent variable
Based on the line of best fit luther can expect the average speed of his pitches to be about _____ miles an hour in a game when he throws 80 pitches and to be 64 miles an hour in a game when he throws about ______ pitches.
Answer:
answer choices?
Step-by-step explanation:
Answer: 51 & 54
Step-by-step explanation:
Based on the line of best fit luther can expect the average speed of his pitches to be about __51___ miles an hour in a game when he throws 80 pitches and to be 64 miles an hour in a game when he throws about ____54__ pitches.
The formula for the volume V of a cylinder is V=pier2h, where r is the radius of the base and h is the height of the cylinder. Solve the formula for h.
Answer:
h = V / πr²
Step-by-step explanation:
V = πr²h
Where,
V = volume of a cylinder
π = π
r = radius of the cylinder
h = height of the cylinder
V = πr²h
Solve for h
V = π × r² × h
Divide both sides by π × r²
h = V / π × r²
h = V / πr²
Height of the cylinder = volume of the cylinder / pie × r²
Write each expression in standard form.
6(−5 − 4)− 2( − 7 − 3)
Answer:
heyyy wassuppp
Step-by-step explanation:
One gallon of milk has 128 fluid ounces. How much milk is in 6.5 gallons?
Answer:
832 fluid oz
Step-by-step explanation:
Multiply 128 by 6.5
Answer:
832
Step-by-step explanation:
Multiply 128 by 6.5 gallons
express 9 3/2 in simplest radical form
Answer:
Exact Form:
√93
Decimal Form:
27
Step-by-step explanation:
Hello can someone help me please..?
Answer:
From 3:23-3:24
Step-by-step explanation:
I need help plzzzzzzz!
C-17 = 19
Hi please help
Answer:
C=36
Step-by-step explanation:
C-17=19
C=19+17
C=36