Answer:
Answer B
Step-by-step explanation:
What is the inverse of the function f(x) = 169x2 when x ≥ 0?
A- f−1(x) = 13‾‾
B- f−1(x) = √13
C- f−1(x) = 13x
D- f−1(x) = 113
Answer:
[tex]f^{-1}(x) = \frac{\sqrt{x}}{13}[/tex]
Step-by-step explanation:
Inverse function:
Suppose we have a function y = f(x). To find the inverse, we exchange the y and the x values, and then isolate y.
Function:
[tex]f(x) = 169x^2[/tex]
That is:
[tex]y = 169x^2[/tex]
Exchanging x and y:
[tex]x = 169y^2[/tex]
Isolating y:
[tex]y^2 = \frac{x}{169}[/tex]
[tex]y = \sqrt{\frac{x}{169}}[/tex]
[tex]y = \frac{\sqrt{x}}{13}[/tex]
[tex]f^{-1}(x) = \frac{\sqrt{x}}{13}[/tex]
Solve this system of equations. Show your work!
12x + 6y = 12
y = x + 15
Answer: The equation has 2 positive integer solutions:
x1 = 0 y1 = 2
x2 = 1 y2 = 0
Step-by-step explanation:
The value of x = -4.334 and y = 10.667.
What is linear equations in two variables?When written as ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e., a and b, respectively, are not zero, an equation is said to be a linear equation in two variables.
For this kind of equation, the solution is a pair of values, one for x and one for y, which also make the two sides equal.
Given Equations 12x + 6y = 12...….(1)
y = x + 15
y - x = 15...….(2)
divide eq. (1) by 6
(12x + 6y)/6 = 12/6
2x + y = 2
subtract from eq. (2)
y - x - (2x + y) = 15 - 2
-3x = 13
x = -13/3 = -4.334
substitute value of x in eq. (2)
y - (-4.334) = 15
y = 15 - 4.334
y = 10.667
Hence the solution of equations gives x = -4.334 and y = 10.667.
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Gabriela makes a profit of $0.80 for every cup of coffee that she sells at her coffee shop. She wanted to make a profit of at least $75 today on coffee. If she sold 90 cups today, which statement is correct? She met her goal, because she made less than $75 on coffee today. She met her goal, because she made more than $75 on coffee today. She missed her goal, because she made less than $75 on coffee today. She missed her goal, because she made more than $75 on coffee today.What is the value of the expression below?
(9.5 minus 3 times 1 and one-half) divided by 0.5
0.5
5
10
19.5
Answer:
She missed her goal, because she made less than $75 on coffee today.
10
Step-by-step explanation:
Target profit = $75
Profit per cup = $0.80
Number of cups sold = 90
Profit made today = Profit per cup * Number of cups sold
= $0.80 * 90
= $72
She missed her goal, because she made less than $75 on coffee today.
2. (9.5 minus 3 times 1 and one-half) divided by 0.5
(9.5 - 3 * 1 1/2) ÷ 0.5
= 9.5 - 3 * 3/2 ÷ 0.5
= 9.5 - 9/2 ÷ 0.5
= (9.5 - 4.5) ÷ 0.5
= 5 ÷ 0.5
= 10
Find the amount of interest for a 19-year investment of $4500 at a simple annual rate
of 2.73%
Answer:
A = $7,554.84
A = P + I where
P (principal) = $4,500.00
I (interest) = $3,054.84First, convert R as a percent to r as a decimal
r = R/100
r = 2.73/100
r = 0.0273 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 4,500.00(1 + 0.0273/12)(12)(19)
A = 4,500.00(1 + 0.002275)(228)
A = $7,554.84
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $4,500.00 at a rate of 2.73% per year compounded 12 times per year over 19 years is $7,554.84.
Step-by-step explanation:
Cual es la ecuación recta de m=2 y p (2,3)
Answer:
y=2x-1
Step-by-step explanation:
use slope formula
the substitute into slope intercept form
Name the property : (-1/2) x [(-3/4) + 4/7] = (-1/2) x (-3/5) + (-1/2) x (4/7)
answer fast
Answer:
this is a DISTRIBUTIVE property
please help step by step, please
9514 1404 393
Answer:
title: 300%payday: 650%check cashing: 214%Step-by-step explanation:
The formula for simple interest is ...
I = Prt
where P is the principal amount loaned, r is the annual rate, and t is the time in years. Solving for interest rate, we get ...
r = I/(Pt)
We assume 12 months or 52 weeks in a year.
__
Car title loan
r = 125/(500×1/12) = 3 × 100% = 300%
The APR is 300%.
__
Payday loan
r = 125/(500×2/52) = 6.5 × 100% = 650%
The APR is 650%.
__
Check cashing
r = 19.66/(478.41×1/52) ≈ 2.1369 × 100% ≈ 214%
The APR is about 214%.
no links, if ur right i’ll give u brainlist!!
Answer:
answer is C. if im wrong just let me know :3
I NEED HELP PLZZ.... WHATS 9+10? ill give brainliest
Answer:
WHAT IT'S 19??? HELP HAHAHAHAHA
Step-by-step explanation:
deez njuts
Answer:
19
Step-by-step explanation:
because its 19
A circle has an area 20 cm2. It is enlarged three times. What is the area of the enlarged circle?
Answer:
A = 60 cm²
Step-by-step explanation:
Given that,
The area of a circle, A = 20 cm²
It is enlarged 3 times.
We need to find the area of the enlarged circle.
Area of the enlarged circle,
A = 20×3
= 60 cm²
So, the area of the enlarged circle is equal to 60 cm².
there are 6 glass bottles and eight plastic bottles on a rack. I f one is chosen at random, what is the probability of picking a glass bottle? Which simulation can be used to represent this situation
Answer:
6:8
Step-by-step explanation:
6 is the ratio of glass bottles and 8 is the plastic or you can put 3:4 because you divide the number b 2
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
6
4
B
х
.
O x-4
O x-2
Answer:
Step-by-step explanation:
x+2
A factor of the polynomial function f(x) graphed on the coordinate plane below is,
⇒ x + 2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The polynomial function f(x) graphed on the coordinate plane below.
Now, We have;
The vertex of the function is,
⇒ x = - 2
⇒ x + 2
Thus, A factor of the polynomial function f(x) graphed on the coordinate plane below is,
⇒ x + 2
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Possible names for the following angle -picture is shown
Answer:
EFB
Step-by-step explanation:
E,F and B I believe
Find the dicontinuities of the function.
f(x) =
x2 + 12x + 27
x2 + 4x + 3
.
There is a removable discontinuity at
(
,
).
Answer:
Step-by-step explanation:
I'm assuming you meant to type in
[tex]f(x)=\frac{x^2+12x+27}{x^2+4x+3}[/tex] because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to
[tex]f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)}[/tex] and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.
The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!
what is value? WRONG ANSWERS ONLYY
Write an exponential function in the form y and (2,396) ab" that goes through points (0,11)
Answer:
[tex]y =11(6)^x[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (0,11)[/tex]
[tex](x_2,y_2) = (2,396)[/tex]
Required
The exponential function
This is represented as:
[tex]y = ab^x[/tex]
In [tex](x_1,y_1) = (0,11)[/tex], we have:
[tex]11 = ab^0[/tex]
[tex]11 = a*1[/tex]
[tex]a = 11[/tex]
So, we have:
[tex]y = ab^x[/tex]
[tex]y = 11b^x[/tex]
In [tex](x_2,y_2) = (2,396)[/tex], we have:
[tex]396 = 11 * b^2[/tex]
Divide both sides by 11
[tex]36 = b^2[/tex]
Taks square roots
[tex]6 = b\\\\b=6[/tex]
So, we have:
[tex]y = 11b^x[/tex]
[tex]y =11(6)^x[/tex]
7 = -10s - 3 for iready
Answer:
-1 =s
Step-by-step explanation:
7 = -10s - 3
Add 3 to each side
7+3 = -10s - 3+3
10 = -10s
Divide by -10
10/-10 = -10s/-10
-1 =s
What is the scale factor of this dilation? not drawn to scale
Answer:
a
Step-by-step explanation:
Solve (x + 5)∕3 = 4 for x.
Answer:
7
Step by step explanation:
1. multiply both sides by 3
3(x+5)/3 =4 x 3
2. Simplify
x + 5=12
3. Subtract 5 from both sides
x+5-5=12-5
4. Simplify
7
If i left Raleigh at 9:30 am and drove and drove 6 1/2 hours what time would it be
Answer: 4:00 pm
Step-by-step explanation:
Find x if x-log 48 + 3 log 2 = 1/3log125 - log3
Answer:
Step-by-step explanation:
x−log(48)+3(log(2))=
1
3
(log(125))−log(3)
Simplifies to:
x−0.778151=0.221849
Let's solve your equation step-by-step.
x−0.778151=0.221849
Step 1: Add 0.778151 to both sides.
x−0.778151+0.778151=0.221849+0.778151
x=1
Answer:
x=1
What are the coordinates of point K?
Answer:
Option A; [tex](\frac{5}{8} , -\frac{1}{4} )[/tex]
Hope this helps!
Answer:
i wanna say A but im not for sure
Step-by-step explanation:
What is the slope of a line perpendicular to the line containing the points (4,-7) and (-5,-1)? Express your answer as a common fraction.
40 POINTS!!!!!!
if not right i report
Answer:
3/2
Step-by-step explanation:
Slope 1 = (-1+7)/(-5-4) = 6/(-9) = -2/3
Slope 2 perpendicular to Slope 1 :
-1 ÷ -⅔ = 3/2
Solve the following question algebraically please
Answer:
c. x = ± 7
Step-by-step explanation:
2x^2 = 98
x^2 = 98 / 2
x^2 = 49
x^2 = ± 7
Answer:
c
Step-by-step explanation:
x2= 98/2
=49
x2=49
x= +_7
A municipal electrical utility charges customers a $15 per month fee plus 12 cents per kilowatt-hour of energy used. Write an equation for a customer's monthly costs, C (in dollars) for electric service as a function of x, the kilowatt-hours used.
Answer:
C(x) = 15 + 12 * x
Step-by-step explanation:
Cost = monthly fee plus cost per hour * hours
C(x) = 15 + 12 * x
The population of a town is 1000. This is 125% of the population four years
ago. What was the population four years ago?
NO LINK
Answer:
800
Step-by-step explanation:
I think it is 1000/1.25 0r 800
Answer:
800
Step-by-step explanation:
Which equation can be used to solve for c?
Ariana invested $400 in an account paying an interest rate of 3.8% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 11 years?
Emma wants to buy a new cell phone. She commits to saving 10% of the cost
each month. Let p be the percent she has saved after m months.
Answer:
p(m) = 0.1(m)
Step-by-step explanation:
Given that :
Percentage of cost saved per month = 10%
The percentage, p of cost saved after m months will be ;
Percentage of cost saved after m, months will be ; p(m) = Percentage of cost saved per month * number of months
p(m) = 10% * m
p(m) = 0.1(m)
For this line 3x−4y−12=0, which statement is true? 1- The x-intercept is 4, and the y-intercept is 3. 2-The x-intercept is 4, and the y-intercept is -3 3-The x-intercept is 3, and the y-intercept is -4. 4-The x-intercept is 3, and the y-intercept is 4.
9514 1404 393
Answer:
2. The x-intercept is 4, and the y-intercept is -3
Step-by-step explanation:
The given equation is in general form. I find it easier to see the intercepts when the equation is written in standard form:
3x -4y = 12
Setting y=0 and solving for x, we have the x-intercept:
3x = 12 ⇒ x = 12/3 = 4
Setting x=0 and solving for y, we have the y-intercept:
-4y = 12 ⇒ y = 12/-4 = -3
The x-intercept is 4; the y-intercept is -3.