Answer:
d)3
Step-by-step explanation:
y=mx+b
x-3y=-1
reform as the equation above
x+1=3y
simplify --> y=1/3x+1/3
perpendicular lines have opposite-reciprocal slopes
so the answer is 3
find (fg)(x) where: f(x)=3x^2-4 g(x)=x^3+5x)
Answer:
3(x^3 + 5x)^2 - 4 (please mark brainliest)
Step-by-step explanation:
plug g equation into x values of f equation
f equation = 3(x)^2 - 4
^g goes here
So....
3(x^3 + 5x)^2 - 4
^ g goes here
Composite function is a function in another function. The composite function f(g)(x) is equivalent to 3(x³ + 5x)² -4
Composite functionsComposite function is a function in another function
Given the following functions
f(x)=3x^2-4
g(x)=x^3+5x
f(g(x)) = f(x³ + 5x)
Substitute x³ + 5x into the function f(x)
f(x³ + 5x) = 3(x³ + 5x)² -4
Hence the composite function f(g)(x) is equivalent to 3(x³ + 5x)² -4
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which expression is equivalent to 2^3 square root x^2 • square root 16x if x > 0
Answer:
A
Step-by-step explanation:
The question is actually: 2 \sqrt[3]{x^3} ·\sqrt{16x}
The expression is equivalent to option A, [tex]\rm 8x \sqrt[6]{x}[/tex].
What is an Expression?An expression is a mathematical statement that consists of variables, constants, and mathematical operators.
The expression is [tex]\rm 2\sqrt[3]{x^2} . \sqrt{16x}[/tex]
The expression can be simplified as
[tex]\rm = 2 . 4 x^{2/3} x^{1/2}\\\\\=8 x ^{ 7/6}\\\\\\ = 8x x^{1/6}\\\\= 8x \sqrt[6]{x}[/tex]
Therefore, the expression is equivalent to option A, [tex]\rm 8x \sqrt[6]{x}[/tex].
To know more about Expression
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how do you write y - 1 = -1/3(x - 6) in standard form
Answer:
y= -1/3x+3
Step-by-step explanation:
Distribute the -1/3
Add the -1 to both sides to get y by itself
Please help this has to be done! (Will give Brainiest!!) 20 Points!
Answer:
A and E
Step-by-step explanation:
7 1/2 / 2 = 15/4
A. 2 x X = 7 1/2
x = 15/4
E. X x 2= 7 1/2
x = 15/4
Use the graph to write an explicit function to represent the data and determine how much money Taryn earned in week 5.
graph with x axis labeled Number of Weeks and ranges from zero to seven, y axis labeled Money Earned, in dollars, and ranges from zero to one hundred eighty with points at one comma four, two comma twelve, three comma thirty six, and four comma one hundred eight
f(n) = (3)n − 1; f(5) = 81
f(n) = 4(3)n + 1; f(5) = 2,916
f(n) = 4(3)n; f(5) = 972
f(n) = 4(3)n − 1; f(5) = 324
Answer:
answer is C f(n) = 4(3)n; f(5) = 972
Step-by-step explanation:
i took the test, also
The graph is an illustration of an exponential function
The true statement is (d) [tex]\mathbf{f(n) = 4(3)^{n-1}}[/tex], [tex]\mathbf{f(5) = 324}[/tex]
An exponential function is represented as:
[tex]y = ab^{x-1}[/tex]
From the graph, we have the following points
[tex](x_1,y_1) = (1,4)[/tex]
[tex](x_2,y_2) = (2,12)[/tex]
So, we have:
[tex]y = ab^{x-1}[/tex] --------- [tex](x_1,y_1) = (1,4)[/tex]
[tex]4 = ab^{1-1}[/tex]
[tex]4 =ab^0[/tex]
[tex]4 =a \times 1[/tex]
[tex]4 =a[/tex]
[tex]a = 4[/tex]
[tex]y = ab^{x-1}[/tex] --------- [tex](x_2,y_2) = (2,12)[/tex]
[tex]12 = ab^{2-1[/tex]
[tex]12 = ab[/tex]
Substitute [tex]a = 4[/tex]
[tex]12 = 4b[/tex]
Divide both sides by 4
[tex]3 = b[/tex]
[tex]b =3[/tex]
Recall that:
[tex]y = ab^{x-1}[/tex]
So, we have::
[tex]y = 4(3)^{x-1}[/tex]
Express as a function of n
[tex]\mathbf{f(n) = 4(3)^{n-1}}[/tex]
Substitute 5 for n, to calculate the 5th term
[tex]\mathbf{f(5) = 4(3)^{5-1}}[/tex]
[tex]\mathbf{f(5) = 4(3)^4}[/tex]
[tex]\mathbf{f(5) = 324}[/tex]
Hence, option (d) is correct
Read more about exponential functions as:
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Answer:
x=60
Step-by-step explanation:
Answer: The equation 60 + x= 3x -70 could be set up to solve for x.
Step-by-step explanation:
The two remote interior angles sums will equal to the exterior angle .
Meaning that angle 60 plus angle x has to equal to angle 3x -70.
60 + x= 3x -70 Now solve for x by adding 70 to both sides
+70 +70
130 + x = 3x Now subtract x from both sides
-x -x
130 = 2x Divide both sides by
x = 65
2. For Halloween Janet gives 2 candy bars to each kid that
trick-or-treats at her house. Janet bought a bag of candy that
has 125 candy bars. Write an equation describing the
relationship between the number of kids, k, who come to
Janet's house on, and the amount of candy bars, c, she has
remaining.
Answer:
she can give out candy to 62 kids
Step-by-step explanation:
there is ur answer
Answer:
The equation is y = -2x + 125
Step-by-step explanation:
Let x represent the # of kids
And let the 125 as the starting amount of candy bars she has
and also its correct trust me
Pls mark me as brainliest
work out the size of angle x.
image included
Answer:
x = 105°
General Formulas and Concepts:
Geometry
Corresponding AnglesStep-by-step explanation:
If the 2 lines are parallel, which they are, we can use specific theorems to help us solve for different angles.
Here, we see that we will use the Corresponding Angles Theorem. According the the theorem, this will allow us to find our value for x.
Answer:
Step-by-step explanation:
x° = 105°
Angles are corresponding
Plz answer these two and I will give you brainliest
Answer:
1. -9. 2.i cant see what all the options are but the slope is y= 1/2x -3
Step-by-step explanation:
Hope this helps :)
Instructions: Solve the following literal equation.
Solve P-2w/2= l for P.
Answer:
P=l+w
Step-by-step explanation:
Solve for P by simplifying both sides of the equation, then isolating the variable.
Is this equations linear?
Answer:
No
Step-by-step explanation:
There can not be x and y both attached to one coefficient.
Answer:
No
Step-by-step explanation:
Its not linear because the equation has "3xy" in it.
Find the 15th term of the arithmetic sequence whose common difference is d=9 and whose first term is a, = 2.
Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.
Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.
Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.
Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.
Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.
Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.
Answer:The answer is B
Step-by-step explanation:
What is the value of x?
(2x)
0 22.5
0 30
O 45
WILL GIVE BRAINLIEST !!!
Find the equation of the line. Use the exact numbers.
Equation: y = __x + __
Answer:
Step-by-step explanation:
y=2/3x+4. 4 is the y intercept. 2/3 is the slope. y=mx+b where m is the slope and b is the y intercept
Mrs. Dobbs rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. The taxi charges Lupita $40.03 in total for her trip.
Subtract the flat rate from the total, then divide by price per mile for total miles:
40.03 - 6.75 = 33.28
33.28/3.20 = 10.4 miles.
Lupita drove 10.4 Miles for her trip.
Explanation:
40.03 - 6.75 = 33.28 dollars left
33.28 ÷ 3.20 = 10.4 Miles
plz i need help gdfsgsdsgdsgdsgdsgsdgdsgdsdfhdhjdfdfjdfjdfjdj
Answer:
(-3,0) (-2,-2)
Step-by-step explanation:
the difference between two numbers is 48. the ratio of the two nukbers is 7:3. what are tge two numbers
The difference between the two numbers is 48. The ratio of the two numbers is 7 : 3. Hence, 84 and 36 are the two numbers.
Given :-
The difference between the two numbers is 48.
The ratio of the two numbers is 7 : 3.
To Find :-
The Two Numbers
Solution :-
Let the first number be 7x
And the second number be 3x
According to the Question,
⇒ 7x - 48= 3x
⇒ 7x-3x = 48
⇒ 4x = 48
⇒ x = 48/4
⇒ x = 12
1st number is= 7x = 84
2nd number= 3x = 36
Hence, 84 and 36 are the two number
EASY POINTS AND BRAINLIEST IF RIGHT!!
Diane flipped a coin 600 times and it landed heads up 240 times. What is the relative frequency of the coin landing heads up based on the results of this experiment?
4%
6%
40%
60%
Step-by-step explanation:
The relative frequency of the coin landing heads up is 0.4 or 40%.
Step-by-step explanation:
We are given that,
Total number of times coin is tossed = 600
Number of times heads comes = 240
Since, 'relative frequency' is the fraction of number of times an event occurs and the total number of events.
Thus, the relative frequency that heads comes = \frac{240}{600}
600
240
i.e. Relative frequency that heads comes = 0.4 or 40%
Thus, the relative frequency of the coin landing heads up is 0.4 or 40%.
Answer: 40%
Step-by-step explanation:
how to use the pythagorean theorem on a rectangle that is missing a side and its represented by a letter?
Answer:
Wrong
Step-by-step explanation:
Pythagorean theorem is not used for rectangles but only for triangles
Noah bought 4 tacos and paid $6. At this rate, how many tacos could he buy for $15?
Answer:
10
Step-by-step explanation:
each taco is 1.50$ 15$ divided by 1.50$ is 10
Answer:
He can buy 10 tacos with $15.
Step-by-step explanation:
You can do a cross multiplication process. Think in this way:
If he buys 4 tacos for $6, then how many tacos can he get in $15? When you do the cross multiplication process, you'll find that he can get 10 tacos with $15.
Help me please!?!?!?!?????
Answer:
1
Step-by-step explanation:
If it takes 2/5 cup of red paint to mix with 5/8 cup blue paint to make purple paint. How much red paint is needed to mix with 1 cup of blue paint.
Answer: she should use 5/8 cups i think
Step-by-step explanation:
Find the hypothesis for side a 16 side b 20
I think you mean to say "hypotenuse". If so, then use the pythagorean theorem to get the following
a^2 + b^2 = c^2
16^2 + 20^2 = c^2
256 + 400 = c^2
656 = c^2
c^2 = 656
c = sqrt(656)
c = sqrt(16*41)
c = sqrt(16)*sqrt(41)
c = 4*sqrt(41)
The hypotenuse is exactly 4*sqrt(41) units long
This is approximately 25.612 when you use your calculator.
f(x) = x^2 + 3x
f(-2)=
plz help me simplify 3x+7x−28+31−8x
Answer:
2x+3
Step-by-step explanation:
3x+7x−28+31−8x
10x-28+31-8x
(10x-8x)(-28+31) (combine like terms)
=2x-3
Susan needs to buy 3 helium balloons. She can buy individual balloons for $2.75 each, or a 3-pack of balloons for $7.80. How much will Susan save per balloon if she buys a 3-pack instead of individual balloons?
Answer:
15
Step-by-step explanation:
8.25 minus 7.80 is 0.45 45 divided by 3 is 15 so the answer is 15
What is the slope of the line below?
Answer:
The answer is the green answer choice which is 5/7.
Step-by-step explanation:
Find out how long it takes a $ investment to double if it is invested at compounded . Round to the nearest tenth of a year. Use the formula . A. years B. years C. years D. years
Answer:
(A) 8.8 years
Step-by-step explanation:
Given that the principal amount = $ 3100
Rate of compound interest = 8% compounded semiannually.
The given formula is
[tex]A=P\left(1+\frac{r}{n}\right)^{nt}[/tex]
Where A is the final amount, P is the principal amount, r is the rate of compound interest, t is the time and n is the number of times per year the interest is compounded.
From the given condition,
P=$3100
r= 8%=0.08 compounded semiannually
n=2
A=2 x 3100=$ 6200.
Put all these in the given formula to get the required time, we have
[tex]6200=3100\left(1+\frac{0.08}{2}\right)^{2t}[/tex]
[tex]\Rightarrow \left(1+0.04\right)^{2t}=6200/3100[/tex]
[tex]\Rightarrow 1.04^{2t}=2\\\\\Rightarrow 2t\log_{10}(1.04)=\log_{10}(2)\\ \\\Rightarrow 2t =\frac{\log_{10}(2)}{\log_{10}(1.04)}\\\\\Rightarrow 2t =17.673\\\\\Rightarrow t = 17.673/2=8.8365\\[/tex]
On rounding to the nearest tenth of a year, t=8.8 years.
So, the invested amount will be double in 8.8 years.
Hence, option (A) is correct.
Will give brainliest if correct.
Answer:
x-int: (5, 0)
y-int: (0, 4)
General Formulas and Concepts:
Alg I
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis. The x-intercept is the x value when y = 0. Another way to reword that is when the graph crosses the x-axis.Step-by-step explanation:
x-int
According to the graph, it crosses the x-axis at 5. Therefore, our x-int is (5, 0)
y-int
According to the graph, it crosses the y-axis at 4. Therefore, our y-int is (0, 4)
