Answer:
y = 4^xStep-by-step explanation:
Initial number is 1 so a = 1
Weekly growth rate is 400% which is 4 times increase, therefore b = 4
So the function becomes:
y = 4^xMatch each function with the expression representing Its Inverse function.
1. g(x)= -0.5 x
2. h(x)= 4 x
3. y= x - 4
4. f(x)= x/2
5. k(x) = x
6. p(x) = x+4
Answer:
Step-by-step explanation:
1). g(x) = -0.5x
Equation form of the given function is,
y = -0.5x
Interchange x and y,
x = -0.5y
Solve for y,
y = [tex]-\frac{x}{0.5}[/tex]
y = -2x
Inverse function will be,
[tex]g^{-1}x=-2x[/tex]
2). h(x) = 4x
Equation form of the function will be,
y = 4x
Interchange x and y,
x = 4y
Solve for y,
y = [tex]\frac{x}{4}[/tex]
Inverse function will be,
[tex]h^{-1}(x)=0.25x[/tex]
3). y = x - 4
Interchange x and y,
x = y - 4
Solve for y,
y = x + 4
Therefore, inverse of the linear equation is,
y = x + 4
4). f(x) = [tex]\frac{x}{2}[/tex]
Equation form of the function will be,
y = [tex]\frac{x}{2}[/tex]= x
Interchange x and y,
x = [tex]\frac{y}{2}[/tex]
Solve for y,
y = 2x
Therefore, inverse function will be,
[tex]f^{-1}(x)=2x[/tex]
5). k(x) = x
Equation form of the function will be,
y = x
Interchange x and y,
x = y
Solve for y,
y = x
Inverse of the function 'f' will be,
[tex]k^{-1}(x) =x[/tex]
6). p(x) = x + 4
Equation form of the function will be,
y = x + 4
Interchange x and y,
x = y + 4
Solve for y,
y = x - 4
Inverse of the function 'p' will be,
[tex]p^{-1}(x)=x - 4[/tex]
The local high school is hosting the last soccer game. They charged adults, x, $5 to enter, and $3 for students, y. It costs the school $300 to pay the referees for the game. The school wants to make profit on the game, and 75 people attended. This is represented by the system:
5x +3y > 300
x+y = 75
which of the following points is a solution to the system?
(30,45)
(40,35)
(20,15)
(25,70)
Answer:
(40,35)
Step-by-step explanation:
Well we can immediacy eliminate 2 options for ow becuase if you add them up they don’t equal 75 and in the equation it asked for x+y=75.
Now we just test out each x and y possibility
We know 5x+3 > 300
So lets try the first one
30 is x
45 is Y
5*30=150
45*3=135
Now if you add them
285
285 is not greater than 300 so thats wrong
SO B is correct
But lets check just in case
5*40=200
3*35= 105
305 IS greater than 300
305 > 300
SO B is correct
The point (40,35)
pls help this is not graded
Answer:
70 degrees
Step-by-step explanation:
help me please !!!??!!?
Answer:
23358.1
Step-by-step explanation:
Answer:
216.2
Step-by-step explanation:
[tex]a^2+b^2=c^2\\\\c=3959+5.9\\\\b=3959\\\\a=x\\\\\\(x)^2+(3959)^2=(3964.9)^2\\\\x^2=(3964.9)^2-(3959)^2\\\\x^2=(3964.9-3959)(3964.9+3959)\\\\x^2=5.9(7923.9)\\\\x\approx 216.2[/tex]
Which expressions are factors of the expression
-24xyz - 12xy + 20xyz
Answer:
xy
2xy
4
Step-by-step explanation:
A factor is a number of term you can factor out of each part of the expression/ or divide it by.
In -24xyz - 12xy + 20xyz
All three parts have xy, so it is a factor
All three don't have 12xz, because -12xy doesn't have z variable for instance.
All three have 2xy.
All three can't factor out 3y, because you can't divide 20 by 3 nicely.
All three can't factor out 4yz, because middle term -12xy doesn't have z.
All three can't factor out 12, because you can't nicely divide 20/12.
All three can factor out 4, because -24, -12, and 20 are all divisible by 4.
please give thanks by clicking heart button :)
8xn=24x7 what is the missing number?
Answer:
21
Step-by-step explanation:
24 x 7 = 168
168 / 8 = 21
8 x 21 = 168
168 = 168
Answer: 21
You would find this by multiplying the problem you know 24x7 which equals 168.8xn=24x7 which means, 8xn=168. So you would have to divide 168 by 8 n=21What is -10=k+6 please show work thank you
Answer:
k=-16
Step-by-step explanation:
-10=k+6
subtract 6 both both sides to isolate the variable
-16=k
Happy Holidays!!
Answer:
K= -16
Step-by-step explanation:
k=( -10)_6
make as brainlist
SOMEONE PLEASE HELP ME!! WHOEVER ANSWERS FIRST WILL GET BRAINLIEST!!
Answer:
12 miles in one hour
Step-by-step explanation:
60 minutes in an hour
60/15= 4
4*3=12
Suppose that scores on a particular test are normally distributed with a mean of 110 and a standard deviation of 20. What is the minimum score needed to be in the top 2% of the scores on the test
Answer:
The minimum score needed to be in the top 2% of the scores on the test
is n = 10,00,000
Step-by-step explanation:
Step(i):-
Mean of the Population = 110
Standard deviation of the Population = 20
The estimated error = 2% = 0.02
Step(ii):-
The estimated error is determined by
[tex]E = \frac{S.D}{\sqrt{n} }[/tex]
[tex]0.02 = \frac{20}{\sqrt{n} }[/tex]
⇒ [tex]\sqrt{n} = \frac{20}{0.02} = 1000[/tex]
Squaring on both sides, we get
n = 10,00,000
The minimum score needed to be in the top 2% of the scores on the test
is n = 10,00,000
Two ships leave the port at 12 noon. Ship A is traveling at the bearing of 146 at 20 miles per hour, and ship B travels at a bearing of N32 E at 28 miles per hour. Approximate how far apart ships are at 3 PM. At what bearing ship A is from ship B at 3 PM.
Answer: [tex]d = 103.23 miles[/tex] apart.
Step-by-step explanation:
given data:
ship a = 20miles. = 60miles
ship b = 28miles. = 84miles
time interval = 3hrs.
θ = 90
[tex]d = \sqrt{a^{2}+b^{2}-2ab (cos90) }[/tex]
[tex]d = \sqrt{60^{2}+84^{2}-2(60)(84) *(cos90) }[/tex]
[tex]d = \sqrt{3600+7056-10080*(cos90) }[/tex]
[tex]d = \sqrt{10656-10080*(cos90) }[/tex]
[tex]d = \sqrt{10656-0[/tex]
[tex]d = \sqrt{10656[/tex]
[tex]d = 103.23 miles[/tex]
) Which expressions are equivalent to 26? Choose ALL that apply.
6.6.6.6.6.6
2.2.2.2.2.2
2.6
4.16
12.12
8.8
Answer:
2x2x2x2x2x2
4 x 16
8 x 8
Step-by-step explanation:
All equal to 64.
2^6=64
Determine if the segment lengths 9. 12. and 15 fom a right triangle. acute triangle, obtuse triangle or not a triangle.
O Acute
O
Right
Obtuse
O Not a triangle
Please help me on this question
Answer:
B
Step-by-step explanation:
LOOK AT PICTURE, THEN ANWSER, WHOEVER IS CORRECT I WILL MARK BRAINIEST:)
Answer:
C
Step-by-step explanation:
It has to be either A or C because the function is decreasing as you move left to right, this only occurs when the number inside parenthesis is less than 1.
It isn't A because if you plug in x=0, the value is 2, but on the graph it is greater than 2.
pleae give thanks by hitting heart button :)
In a quadrilateral, all four of the angles are right angles. if the figure doe isn’t have four congruent sides, what is it?
rectangle
quadrilateral
rhombus
square
Answer:
rectangle
Step-by-step explanation:
Solve each system by elimination.
1) –10x – 15y = 30
-9x - 5y=-24
Answer:
(6,-6)
Step-by-step explanation:
1. -10x-15y=30
-10x-15y+15y=30+15y
-10x/-10=30+15y/-10
x=-3 -3/2
plug in the other equation and solve for y
-9x-5y=-24
-9(-3-3/2)-5y=-24
y=-6
plug -6 in for y in one of the original equations
-9x-5y=-24
-9x-5(-6)=-24
solve for x
x=6
wonderful
Your cell phone company charges $20 a month plus $0.50 per text message.
What is the linear equation that would represent the total amount paid in one month?
Answer:
20 + 0.50x = m
Step-by-step explanation:
Key:
x = number of messages
m = cost per month
Hope this helps and I hope u have an Amazing day!!
add the following algebraic expressions by vertical arrangement method
Answer:
9x + 2y
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
7x - 3y + 2x + 5y
Step 2: Simplify
Combine like terms (x): 9x - 3y + 5yCombine like terms (y): 9x + 2yWhich equation represents a line which is perpendicular to the line 4x
y = -2?
Answer:
y=4x +7 (top-left)
Step-by-step explanation:
They have the same exact slope meaning they can not cross.
The only time they would cross is if they had the same y-intercept. Which they don't
Ella finished a bike race in 37.6 minutes. Miranda finished the race 9 1/10 minutes sooner than Ella finished it. How many minutes did it take Miranda to finish the race?
Answer:
56.7
Step-by-step explanation:
Just Add all numbers
Jeff modeled the number of minutes that he read each day during the first week of the summer. The recursive function, f(x), can be used to determine the number of minutes that he had read after a certain number of days, where x represents the number of days. f(1) = 28 f(x) = f(x - 1) + 8 Use the recursive function to find the number of minutes that Jeff read after 3 days of summer.
9514 1404 393
Answer:
44 minutes
Step-by-step explanation:
We are given f(1) = 28.
Using the recursive formula ...
f(2) = f(1) +8 = 28 +8 = 36
f(3) = f(2) +8 = 36 +8 = 44
Jeff read 44 minutes after 3 days of summer.
lhasdkjhasdufoidsuhfo8sdhfoiasdhfosadf
Answer:
ugfuk jqhebwfjbc gjqjhefjqxenjwfghxhjhef
Emma wants to build a fence around the perimeter of her lawn. Each foot of fence costs $2. The rectangular lawn has an area of 364 square feet and a width of 14 feet. How much will the entire fence cost?
Answer:
[tex]\$160[/tex]
Step-by-step explanation:
To find the cost of the entire fence, we need to first determine the lawn's length before calculating its perimeter.
Area of rectangular lawn = [tex]lw[/tex] (formula for the area of a rectangle)
[tex]364=14l[/tex]
[tex]l=26[/tex] feet
Now that we have the lawn's length and width, we can calculate the perimeter:
Perimeter [tex]= 2l+2w[/tex] (formula for the perimeter of a rectangle)
[tex]=2(26)+2(14)[/tex]
[tex]=80[/tex] feet
Since each foot of lawn costs $2, then the cost of the entire fence will be:
[tex]80\times2 = \$160[/tex]
∴ The entire fence costs [tex]\$160[/tex].
Hope this helps :)
There are 5 cat owners to 6
dog owners. If there are 30 dog owners how many cat owners are there?
Answer:
25 cat owners!!!
Step-by-step explanation:
It's a ratio word problem...
5:6
Multiply both Numerator and Denominator by 5.
25:30
May I please have Brainliest??!??
- ElizabethKate
Answer: 19
Step-by-step explanation: So 6+5=11 then 30-11=19
in hostel of 40 students there is food for 30 days if 20 more students join the hostel how long will the food last
Answer:
The food will last for 20 days
Step-by-step explanation:
The equation of the inverse proportional is xy = k, where k is the constant of variation
∵ In a hostel of 40 students, there is food for 30 days
→ That means the food is the constant k and the number of days y
varies inversely with the number of students x
∴ x = 40 and y = 30
∵ xy = k
∴ 40 × 30 = k
∴ 1200 = k
∴ The equation of the inverse proportional is xy = 1200
∵ 20 more students join the hostel
→ That means the number of students increased by 20
∴ The number of students in the hostel = 40 + 20
∴ The number of students in the hostel = 60
→ By using the equation above
∵ 60 × y = 1200
∴ 60y = 1200
→ Divide both sides by 60
∴ y = 20
∴ The food will last for 20 days
PLEASE TAKE A PIC OF YOU WORK ON A PECIE OF PAPER WITH THE AWNSER ON IT!!!! Hey! I need help with this! I’m bad at math and have a 55% in it rn it would mean a lot if you could take this seriously. Only 5 questions.
Answer:
Step-by-step explanation:
Hey if you give me your email i ca email you the aswer it wot let me link a photo lol
Samuel and Jill had 576 stamps in all. Samuel gave 1/7 of his stamps
to Jill. Then, Jill gave 1/4 of the total number of stamps she now had to
Samuel. In the end, both of them had the same number of stamps.
What was the difference in the number of stamps they each had at first?
Answer:
128
Step-by-step explanation:
Sam has X stamps.
Jill has (576-X) Stamps.
X-x/7 = 6x/7 = Sam's bal.
576-x + x/7 = 576 - 6x/7 = Jill's bal.
1/4(576-6x/7) = 144 - 6x/28
3/4(576-6x/7) = 432 - 9x/14 = Jill's new
bal.
6x/7 + 144-6x/28 = 144 + 24x/28-6x/28 =
144 + 9x/14 = Sam's new bal.
Jill's new bal = Sam's new bal
432 - 9x/14 = 144 + 9x/14
18x/14 = 144-432 = 288
18x = 4032
X = 224
576-X = 576-224 = 352.
Difference = 352 - 224= 128
plz somebody help me i’ll give you 40 points
Answer:
-3+-2
Step-by-step explanation:
(2x + y = 14
5x - y = 28
Which ordered pair represents the solution
Answer:
D (6,2)
Step-by-step explanation:
2x6+2=14 2x6= 12 12+2= 14
5x6-2=28 5x6=30 30-2=28
Use a model to divide. 1/4 divided by 3.
Possible answers are,
3/6
9
1/12
1/6
9 is the answer I hope this helped
