Answer:
3. Adjacent and Supplementry
A season pass to an amusement park costs $70 per family member plus an additional $50 fee for parking. The function C(x)=70x+50 represents the total cost of the season pass for a family, where x is the number of family members on the season pass. Find the inverse function. (show workings)
Write the equation in slope-intercept form. y+5=−6(x+7)
i need answers to these in 10 minutes.
Answer:
a) The inverse is g(x) = (1/70)*x - 50/70
b) The slope intercept form is y = -6*x - 47
Step-by-step explanation:
a) When we have a function f(x), the inverse of this function (let's call it g(x)) is such that:
g(f(x)) = x
f(g(x)) = x
for every x.
In this case, we have:
f(x) = 70*x + 50
This is a linear function, and the inverse will be also a linear function.
Then the inverse will be something like:
g(x) = a*x + b
then:
g( f(x)) = x = a*( 70*x + 50) + b
then we can just solve the equation:
x = a*( 70*x + 50) + b
x = a*70*x + a*50 + b
If we separate terms by the powers of x in each side of the equation, we have:
1*x + 0*x^0 = (a*70)*x + (a*50 + b)*x^0
(where x^0 = 1)
then:
1 = (a*70)
a = 1/70
and:
0 = (a*50 + b)
0 = 50/70 + b
-50/70 = b
Then the inverse of f(x) is:
g(x) = (1/70)*x - 50/70.
b) The slop-intercept form of a linear equation is:
y = a*x + b
where a is the slope, and b is the y-intercept.
We want to write in this form the equation:
y + 5 = -6*(x + 7)
The first step is to isolate the "y" in one side of the equation:
y = -6*(x + 7) - 5
Now let's simplify the right side:
y = -6*x - 6*7 - 5
y = -6*x - 42 - 5
y = -6*x - 47
This is the slope-intercept form, where the slope is -6, and the y-intercept is -42.
Solve for brainlist ❤️❤️
Answer:
(68/4) multiply by 3601
Step-by-step explanation:
Write the equation of the function on the graph.
Answer:
[tex] \huge \boxed {y = |x| + 3}[/tex]
Step-by-step explanation:
Similar to Parabola, except this is Modulus Function.
[tex] \boxed {y = a |x - h| + k} \\ a \: = slope \\ h = move \: \: to \: \: x - axis \\ k = move \: \: to \: \: y - axis[/tex]
From the graph. The graph doesn't have any movement/transformation to x-axis, only y-axis. The graph only shifts up 3 units from y = |x|.
Both slopes are also 1 (from rise/run)
Hence, the answer is
[tex]y = |x| + 3[/tex]
Why would the end point for the function be (0,0)
Answer:
Yes, you are correct. It is (0,0)
Step-by-step explanation:
The lower left side of the curve hits the axis at 0,0 so you are correct. Try it
S = 365√x
Let x = 0
The square root of x when x = 0 is 0.
So S = 365√0
S = 0
A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high.
What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?
A
[tex]1\frac{3}{4}[/tex] feet
B
[tex]2\frac{3}{4}[/tex] feet
C
[tex]5\frac{1}{4}[/tex] feet
D
8 feet
Answer:
A is the answer
Step-by-step explanation:
I think
HELP ME ASAP PLEASE?!!
(look at the image)
How is the graph of
f(x) = -3x2 – 4 different from the graph of f(x) = -3x2
Answer:
Both have the same line of symmetry but different turning points
But I maintain that if you had taken a shot of the entire question I would be of much help
Step-by-step explanation:
f(x)=-3x²-4
dy/dx=-6x
-6x=0
x=0
The line of symmetry of this parabola occurs at x=0
The minimum value of the curve is
f(0)=-3(0)²-4=-4
For f(x)=-3x²
dy/dx=-6x²
-6x²=0
x=0
The line of symmetry occurs at x=0
The maximum value=-3(0)²=0
Charles packs 25 boxes in 5 hours. How many boxes can he pack in his 25-hour shift?
Answer:
he can pack 30 boxes
Step-by-step explanation:
i hope this helps
Last week Rachel power watch 2 3/5 miles per day on each of the seven days during the same week she also jobbed 5 3/4 miles per day on 4 days what was the total amount of Miles Rachel power walk and Jog last week
Answer:
41.2 miles
Step-by-step explanation:
The computation of the total amount of miles rachel walk and jog last week is as follows;
Unit rate per day is
= 2 3 ÷ 5
= 13 ÷ 5
= 2.6 miles
In 7 days, she walked
= 2.6 miles × 7 days
= 18.2 miles
Now for four days, the unit per day is
= 5 3 ÷ 4 × 4
= 23 ÷ 4 × 4
= 23 miles
So, the total amount of miles would be
= 18.2 miles + 23 miles
= 41.2 miles
Thelma and Louise ordered take-out from Belle Taco. Thelma ordered 2 tacos and 1 quesadilla and paid $5.51. Louise ordered 2 quesadillas and 1 taco and paid $7.09.
Answer:
The cost of 1 taco is $1.31 and 1 quesadilla is $2.89
Step-by-step explanation:
Let [tex]x[/tex] be the cost of 1 tacos and [tex]y[/tex] be the cost of 1 quesadilla
Thelma's order
[tex]2x+1y=5.51\quad\ldots(i)[/tex]
Louise's order
[tex]1x+2y=7.09\quad\ldots(ii)[/tex]
Performing the operation [tex]2\times (i)-(ii)[/tex] we get
[tex]4x+2y=11.2[/tex]
[tex]x+2y=7.09[/tex]
[tex]3x=3.93\\\Rightarrow x=\dfrac{3.93}{3}\\\Rightarrow x=1.31[/tex]
[tex]2x+y=5.51\\\Rightarrow 2\times 1.31+y=5.51\\\Rightarrow y=5.51-(2\times 1.31)\\\Rightarrow y=2.89[/tex]
The required answer is
The cost of 1 taco is $1.31 and 1 quesadilla is $2.89.
Last year, Nick went bowling several times and earned an average score
of 82 points. This year, after taking a class at school, he improved his score
to an average of 123 points. What is the percent of increase in Nick's
average score? *
12v-38=⅛*(4v-3) I need this answered plz
Answer:
v = 3.2
Step-by-step explanation:
12v - 38 = (4v-3)/8
multiply each side by 8 to get:
96v - 304 = 4v - 3
92v - 304 = -3
92v = 301
v = 3.27
The function f(x)f(x) is graphed below. Determine whether the degree of the function is even or odd and whether the function itself is even or odd.
Answer:
The degree is even and the function is even.
Step-by-step explanation:
The graph is a parabola, indicating that the degree is even.
The defintion of an even function is that f(x)=f(-x), and by observing the graph of the function, we will be able to verify that f(x)=f(-x). It is therefore an even function.
The degree of the function is even and the function will be even.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function f(x) is graphed below.
The graph of the function is parabolic whose vertex is at (0, -30). And the curve is passing through the x-axis.
Then the equation of the curve will be
f(x) = ax² - 30
Where a is the leading coefficient.
Then the degree of the function is even and the function will be even.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
Can someone please explain how to do this
Answer: 82
Step-by-step explanation:
2 x 5 = 10
12 x 6 = 72
72 + 10 =82
tell me if u get it right
;)
hii can someone help with this pls :)
i think it’s (0.6,2.8) but i’m not sure so can someone confirm
Answer:
[tex]R(x,y) = (0.8,-1.2)[/tex]
Step-by-step explanation:
The coordinates of QS are:
[tex]Q(x_1,y_1) = (-2,-6)[/tex]
[tex]S(x_2,y_2) = (5,6)[/tex]
The ratio is represented as:
[tex]R_{m:n} = 2:3[/tex]
Required
Find the coordinates of R
The coordinates of R is calculated by:
[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Substitute values for m, n, x's and y's
[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]
[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]
[tex]R(x,y) = (0.8,-1.2)[/tex]
None of the options is correct
Which of the following is a composite number? Select the best answer from the choices provided. A. 47 B. 71 C. 89 D. 93 IT ONLY LETS YOU CHOOSE ONE
Answer:
93
Step-by-step explanation:
A composite number is a positive integer that has at least one divisor other than 1 and itself. Basically, the opposite of a prime number.
47, 71 and 89 are all prime numbers. The only composite number is 93.
Answer:
D: 93
Im not 100% sure but i think its right.
You buy 11 bagels with a $20 bill. How much change do you receive?
well 6 bagels cost $7.50 and you bought 11 bagel with a $20 dollar bill
so answer that
need help please answer !!!
could somebody help me please
Answer:
1. -1
2.C
Step-by-step explanation:
Answer:
-1
c
Step-by-step explanation:
Select all the Intervals where f is increasing
A) -3
B) -1
C) 3.5
D) None of the above
Answer:
-3<x<-2
And
3.5<x<4.5
Step-by-step explanation:
20b<300 solve the inequality and graph the solution
Answer: b<15
Step-by-step explanation: Divide each term by
20 and simplify inequality form: b<15
Need answer fast as possible
Answer:15
Step-by-step explanation:
The box on the left is square in a square all side are equal
Answer:
15
Step-by-step explanation:
That's a square, so all lengths are the same
Solve for Y .
-6y + 4x = 8
Answer:
y= -4/3 + 2x/3
Step-by-step explanation:
Please help!! 20 points!!! I don’t know if is d....
Solve for p.
p - 879 = -284
p =
I NEED HELP PLEASE !!!!
Answer:
Circle
Step-by-step explanation:
n/a
i bet nobody will anser this =P. Solve 52.425 divided by 0.5
Answer:
104.85
Step-by-step explanation:
c:
Answer:
104.85
Step-by-step explanation:
52.425/0.5=104.85
Kinda confused. Will give 20pts.
Answer:
Step-by-step explanation:
the ratio between similar triangles are constant.
so 11/14 has to be equal to z/8 and also a15 = 11/14
so from this we can conclude that z = 8*14/11 = 10.18
Answer:
z = 11 and a = 12
Step-by-step explanation:
These two triangles are similar, in this case, the same angles but different sizes. The answer to this problem is the length of the sides of the triangles. You are given the right side's length on both triangles. The first triangle's sides are 3 (inches, cm, whatever form of measurement is being used) bigger than the second triangle's. Using this information, you can figure out the quantity of both a and z.
Hope this helps.
subtract -2x from -8x.
Answer:-6x
Step-by-step explanation:
=-8x-(-2x)
=-6x
Hope it helped you.
Plz mark me brainliest.
Answer:
-6x
Step-by-step explanation:
-8x - (-2x)
-8x + 2x
-6x
. What is the value of x in the equation .5(x-2) = 3(x-4) - 14?
Answer: -8
Step-by-step explanation:
Solve for x
5 (x − 2) = 3 (x − 4) − 14
5x − 10 = 3 (x − 4) − 14
5x − 10 = 3x − 12 − 14
5x − 10 − 3x = −26
2x = −26 + 10
2x = −16
x = −8
Answer:
answer of this equation is (-8)
:-))
Graph the line with the equation y = -3x – 2.
10
9
-10-9
-6 -5
-4
-3
1
3
4
5 6 7 8 9 10
Answer:
First start with the y-intercept at -2.
Then graph it three units to the right, then one unit down.
Step-by-step explanation:
Please mark as Brainliest!
Answer:
Place a point on (-6,0) and (0,-2) then draw a line that goes through both of those two points. You will then have graphed that equation.
I hope this helps!