Answer:
5 x - 4
Step-by-step explanation:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+45 f - 1 ( x ) = x 5 + 4 5 is the inverse of f(x)=5x−4 f ( x ) = 5 x - 4 .
Will give brainliest if helpful
Answer:
Step 1) P = 600, Decimal format: 0.04, Balance = 624
Step 2) Principle = 624, Balance = 648.96
Step 3) Principle = 648.96, Balance = 674.92
Step-by-step explanation:
Use the formula of A = P(1 + r/n)^n*t
P = 600, r = 4%, n = 1, t = 1 years.
Plug in
A = 600(1 + 0.04/1)^1*1
A = 600 * 1.04^1
A = 600 * 1.04
A = 624
To find the seperate interest
A = P + I
624 = 600 + I
I = 624 - 600
I = 24
Repeat for Step 2
P = 624, r = 4%, n = 1, t = 1
A = 624(1 + 0.04/1)^1*1
A = 624 * 1.04^1
A = 624 * 1.04
A = 648.96
Repeat for interest
648.96 = 624 + I
I = 648.96 - 624
I = 24.96
Repeat for step 3
A = 648.96, r = 4%, n = 1, t = 1
A = 648.96(1 + 0.04/1)^1*1
A = 648.96 * 1.04^1
A = 648.96 * 1.04
A = 674.92
Interest repeat
674.92 = 648.96 + I
I = 674.92 - 648.96
I = 25.96
Evaluate piecewise functions
Answer:
Step-by-step explanation:
f(t)=t²-5t , t≤-10
f(-10)=(-10)²-5(-10)=100+50=150
Suppose you have invested $1500 at an APR of 8%. Use the Rule of 72 to estimate how long it will be until your investment reaches $3000.
Answer:
25 Years. thank you for your question
The time required for the investment of $1500 reaches $3000 with APR of 8% using the rule of 72 is 9 years.
What is the Rule of 72?The rule of 72 is the easy way to calculate the number of years required the investment with the given interest rate. It can be calculated as,
[tex]t\approx\dfrac{72}{r}[/tex]
Here, (t) is the time period and (r) is the rate of return.
The invested amount is $1500 and the value of APR is 8%. The time we have to calculate using the rule of 72.
The final amount of the investment is $3000 which is double the initial amount. Thus, the time period required to double the investment with 8% of interest is,
[tex]t\approx\dfrac{72}{8}\\t\approx9[/tex]
Thus, the time required for the investment of $1500 reaches $3000 with APR of 8% using the rule of 72 is 9 years.
Learn more about the rule of 72 here;
https://brainly.com/question/2180245
Find the Area please help me
Step-by-step explanation:
Area for a right angle triangle = 1/2 bh
b = Base
h = Height
A = 1/2×bh
= 1/2 × 2c^3d^2 × 4c
= (2c^3d^2 × 4c) / 2
= c^3d^2 × 2c
= 2c^4 × d^2
The width of a picture frame is 1/4 the length. Write an algebraic expression of four terms for the perimeter of the picture frame. Use x as your variable.
Answer:
P = 2.5xStep-by-step explanation:
Let the length is x, then the width is 1/4x.
Find the perimeter of rectangle:
P = 2(l + w)P = 2(x + 1/4x) = 2x + 1/2x = 2 1/2x = 2.5xWhich exponential function matches the table?
х
0
1
2
3
4
f(x)
27
9
3
1
1
3
A. f(x) = 27(3)*
=
OB. f(x) = 27(3)*
OC. f(x) = 3(1)
3*
O D. f(x) = 27(0)
*
C.
х
=
Answer:
Option B is the correct answer.
Step-by-step explanation:
[tex]f(x)=27\bigg(\frac{1}{3}\bigg)^x[/tex] matches the table.
• When x = 0
[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^0= 27*1=27[/tex]
•When x = 1
[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^1= 27*\frac{1}{3}=9[/tex]
•When x = 2
[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^2= 27*\frac{1}{9}=3[/tex]
•When x = 3
[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^3= 27*\frac{1}{27}=1[/tex]
•When x = 4
[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^4= 27*\frac{1}{81}=\frac{1}{3}[/tex]
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
A is the answer
Step-by-step explanation:
I thought I said it
Answer:
its $148.80
Step-by-step explanation:124.00 times .20 which its 24.8 and then u add that to ur bill.
Find the equation of the line passing through the point (2,-4) that is parallel to the line y=3x+2
Answer:
y=3x-10
Step-by-step explanation:
When you have to find a parallel line, you take the slope of the other line, so we already know y=3x+b. Then, plug in 2 and -4 as your x and y values and you get -4=3(2)+b. Then solve 3×2=6, so -4=6+b, subtract 6 from both sides, -10=b.
solve
[tex] {x}^{2} + \frac{9x}{2} = \frac{5}{2} [/tex]
pls I. need it Thx
Answer:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form:
x=1/2,−5
Decimal Form:
x=0.5,−5
Step-by-step explanation:
branliest
Help help math math math
Hi! Let me help you!
Perpendicular lines have slopes that are opposite reciprocals.This means we take a number, flop it over, and change its sign.In this case, we have a line with a slope of [tex]\displaystyle-\frac{1}{3}[/tex]Flop it over:[tex]\rm{-3}[/tex]Change its sign:3Thus, the slope of the line perpendicular to the given line is 3.Now, what is its equation?Since we know the slope and a point that the line intersects, we can write the line's equation in Point-Slope Form:y-y1=m(x-x1)Where y1 is the y-coordinate of the point, m is the slope, and x1 is the x-coordinate.In this case, y1=2, m=3, and x1=4.Plug in the values:y-2=3(x-4)y-2=3x-12y=3x-12+2y=3x-10Answer:
y=3x-10
Hope you find it helpful.
~Nature~
Enjoy your day! :)
Answer:what the other guy the said
Step-by-step explanation:
4) Rotation: 90° ccw about the origin
Answer:
Graph attached
Step-by-step explanation:
Counterclockwise rule: (x, y) to (-y, x)
Hope this helps!
using elimination, solve
-12x + 9y = 7
9x ÷ 12y = 6
Answer:
3x=24y
-12x+9y=7
let me know if this helps :3
Step-by-step explanation:
hi so im really bad at math im just wondering how do u become good at math
Answer:
Break Down Complex Problems.
Master The Basic Math Skills.
Understand The Topic Before Moving On To Another.
Know The Importance Of Number Sense.
Have A Regular And Consistent Practice.
Establish A Routine.
Focus On Understanding New Concepts.
Create A Practice Math Test.
An object is launched directly upward from ground level at a rate of 96 feet per second. The height of the object is given by the equation y = −16x^2 + 96x.
When is the object AT OR ABOVE a height of 128 feet?
A) 1 ≤ x ≤ 3
B) 1 ≤ x ≤ 4
C) 2 ≤ x ≤ 3
D) 2 ≤ x ≤ 4
Answer:
D
Step-by-step explanation:
The x in the spot (x,y) is the time, while the y is how high the object is at.
The length of the time when the object is at or above 128 feet starts at exactly 2 seconds and ends at exactly 4 seconds.
a person spends rs.1500 in buying goods;if each kg had cost rs.25 more he would have got 5 kg less .what weight did he buy?
Answer:
12kg
Step-by-step explanation:
the total money is =1500
each kg =25
so, we first multiply 25 as each kg by 5kg. To have the kg remaining
25×5 = 125
then
1500÷125
=12kg
he bought 12kg,
х
-2
-1
f(x)
-10
-8
-6
-4
Which is an x-intercept of the continuous function in the
table?
0
1
2
3
-2
(0,-6)
(3,0)
(-6,0)
(0,3)
Answer:
-6
Step-by-step explanation:
x-intercept is y = 0, so the point is (-6, 0), answer is -6
The Points (-1, 0), (2, 0) and (3, 0) are the x-intercepts of the function f(x).
What is Intercept?The term "intercept" refers to the location where a line or curve crosses a graph's axis. The x-intercept is the point at which the x-axis is crossed. The y-intercept is the point at which the y-axis is crossed.
The x- or y-axis intersection point is what is meant when a line has an intercept. The y-axis is often taken into account if the axis is not stated. The letter "b" is typically used to represent it.
We know that the x intercept can be find where the value of y=0
So, From the table attached,
For x = -1, f(-1) = 0
For x = 2, f(2) = 0
For x = 3, f(3) = 0
Thus, Points (-1, 0), (2, 0) and (3, 0) are the x-intercepts of the function f(x).
Learn more about Intercept here:
https://brainly.com/question/14180189
#SPJ7
The temperature was recorded at several times during the day
Answer:
This doesn't make sense?
Step-by-step explanation:
What is the question?
What is an equation of the line that passes through the points (-7, -7) and (-7, 4)?
just answer
Since you requested for only the answer, here you go:
the slope is 0
The y int is none
the equation is
x=-7
Completing basic operations with decimals is different than with whole numbers.
Select one:
True
False
Answer:
Fundamentally, no.
Step-by-step explanation:
It's the same exact concept, only now you are dealing with numbers that are in between two numbers. You still have to follow the same rules though.
-3,2 and 8,2 in slope intercept form
Answer:
y = 2
Step-by-step explanation:
So we need to find the slope first.
m = y_2 - y_1/x_2 - x_1
Substitute
m = 2 - (2)/8 - (-3)
Simplify now.
Multiply -1 by 2
m = 2 - 2/(8 - (-3)
2 from 2
m = 0/8 - (-3)
Now we need to simplify the denominator.
To do so lets multiply -1 by -3
m = 0/8 + 3
m = 0/11
m = 0
Now we have the slope of 0 and the given point of (-3, 2)
So y - (2) = 0 * (x - (-3)) (Formula > y - y_1 = m(x - x_1) this comes from the original slope equation]
Simplify further
y - 2 = 0 * (x + 3)
Now we solve for y
Multiply 0 by x + 3
y - 2 = 0
Add 2 to both sides
y = 2
Answer:
-3,2 and 8,2
Step-by-step explanation:
Which one of the following is NOT a right triangle?
a
9, 12, 15
b
8, 15, 17
c
7, 24, 25
d
10, 16, 19
Answer:
I think its B
Step-by-step explanation:
Solve the following inequality.
r
3
§ < <-6 OR 3r + 1 > 100
r< [?] OR r >[]
[
Foto
Answer: -18 and 33
Step-by-step explanation:
r/3 < -6 means r<-18
3r+1 > 100 means r > 33
so the blanks are -18 and 33, respectively.
A normal distribution (X) has a mean of 100 and a standard deviation of 10.
What is the x value that is the third quartile for this distribution?
Round your answer to the first decimal position.
The x value for the third quartile for this distribution is 106.8
Z score
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
where μ is the mean, x = raw score and σ is the standard deviation.
Given μ = 100, σ = 10.
The third quartile correspond with a z score of 0.675, hence:
0.675 = (x - 100) / 10
x = 106.8
The x value for the third quartile for this distribution is 106.8
Find out more on Z score at: https://brainly.com/question/25638875
PLEASE HELP ASAP I WILL GIVE BRAINSLET TO THE CORRECT ANSWER!!!!!!!!!!
I THINK!!!!!! (x, y) = (-4, -25) im not completely sure tho
Step-by-step explanation:
substitute y = 7x + 3 in equation 2
9x - 2y = 14
9x - 2(7x + 3) = 14
9x - 14x + 6 = 14
-5x + 6 = 14
-5x = 14 - 6
x = 8 ÷ 5
x = 1.6
subs x = 1.6 into equation 1
y = 7x + 3
y = 7(1.6) + 3
y = 11.2 + 3
y = 14.2
thus, x = 1.6, y = 14.2
add.
(-5x^4+6x^3-43)+(6x^5-x^2+12x-12)
A triangle has sides with lengths of 2 feet, 4 feet, and 5 feet. Is it a right triangle?
Answer:
No
Step-by-step explanation:
it is not right triangle because when we use Pythagoras theorem by using these side
not satisfied
Answer:
It is not a right triangle.
Please help me out.
Answer:
a) y = 10x +500
b) $500
c) $15 for 100; $10.50 for 1000
Step-by-step explanation:
a)We assume the given "cost per unit" is the variable cost per unit. The total cost (y) for x units, given some fixed cost (b), is ...
y = 10x +b
For 100 units, this is ...
1500 = 10(100) +b
500 = b . . . . . . . . subtract 1000
The cost function rule is ...
y = 10x +500
__
b)The fixed cost is the cost of producing 0 units:
y = 10(0) +500
y = 500 . . . . . . . the fixed cost in dollars
__
c)The average cost (ac) of producing n units is the total cost divided by n:
ac(n) = (10n +500)/n = 10 +500/n
The average cost for 100 units is
ac(100) = 10 +500/100 = 15 . . . average dollar cost for 100 units
The average cost for 1000 units is ...
ac(1000) = 10 +500/1000 = 10.50 . . . average dollar cost for 1000 units
Expand the expression.
log(7x3y)
Answer:
log 7 + 3log x + log y
Step-by-step explanation:
log(7x³y) = log 7 + log x³ + log y = log 7 + 3log x + log y
Answer:Expand log4(x3)log4(x3) by moving 33 outside the logarithm.log4(7)+3log4(x)+log4(y)
Complete the inequality 6 1/2 gal 22 1/4
Answer: x+7>9.
Step-by-step explanation: if that not correct im gonna beat my brother so bad cuz he told me to write that.
Three pens cost $1.80. How many pens can you buy for $6?
Answer: 10
Step-by-step explanation:
3 = $1.80
1 = $0.60
$6 = 10 pens