To join a gym, there is a monthly fee of $12 and a $5 fee per workout class you take. Which of the following functions would show the cost, in dollars, for a month that she takes w workout classes?
C(w) = 12w
C(w) = 5w + 12
C(w) = 12 + 5w
C(w)= 17w
Answer:
[tex]C(w) = 5w + 12[/tex]
[tex]C(w) = 12+5w[/tex]
Step-by-step explanation:
Given information:
- Monthly fee of $12
- $5 fee per workout class
- [tex]w[/tex] represents the workout classes taken for a month
- - - -
With the given information, we can conclude that [tex]C(w)=[/tex] workout fee + monthly fee.
Workout fee = [tex]$5w[/tex]
Monthly fee = [tex]$12[/tex]
∴ [tex]C(w) = 5w + 12[/tex] or [tex]C(w) = 12+5w[/tex] (they are the same)
Hope this helps :)
*please be serious *
*Solve for y*
Answer:
y = + 4
Step-by-step explanation:
I used an online algebra calculator to check my answer, so you can trust that this is correct.
Answer:
y=x+4
Step-by-step explanation:
2y=2x+8
Divide everything by 2y
y=x+4
Question: Find the missing side.
Answer:
17
Step-by-step explanation:
Use the Pythagorean Theorem, [tex]a^{2} +b^{2} =c^{2}[/tex]
In this situation, you would use the equation as [tex]8^{2} +15^{2} =x^{2}[/tex]
For each question, solve for the length of the unknown side, as
denoted by the variable. You may round your answers to the nearest
tenth, if necessary. Make sure you show all steps needed to solve the
problem.
Answer:
[tex]a=9[/tex]
Step-by-step explanation:
In this problem, you can use the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex]) to find what a is. The steps are shown below:
Steps (variables a, b, and c are in italics):
-You can rearrange the formula from the Pythagorean Theorem, which is[tex]a^{2} +b^{2} =c^{2}[/tex] to only get a because we want to know what a is.
Rearranged: [tex]a=\sqrt{c^{2}-b^{2} }[/tex] or [tex]a=-\sqrt{c^{2}-b^{2} }[/tex] It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.
-Since we know what c and b are, you can plug them into the new formula:
[tex]a=\sqrt{15^{2}-12^{2} }[/tex]
-Simplify it:
[tex]a=\sqrt{225-144}[/tex]
-Subtract inside the radical:
[tex]a=\sqrt{81}[/tex] Then simplify it to get [tex]a=9[/tex].
You can check your answer by putting a back into the original Pythagorean Theorem formula ([tex]a^{2} +b^{2} =c^{2}[/tex]):
Steps
-Plug a, b, and c into the formula [tex]a^{2} +b^{2} =c^{2}[/tex]:
[tex](9)^{2} +(12)^{2} =(15)^{2}[/tex]
-Simplify to get:
[tex]81+144=225[/tex]
-Add:
[tex]225=225[/tex] This is very true. So our answer is correct.
ANSWER: [tex]a=9[/tex]
Sorry for the long explanation, but I hope you understand and that this helps with your question! :)
Answer:
a = 9Step-by-step explanation:
lets make is short and simple
Pythagorean theorem: a² + b² = c²
a² + 12² = 15²
a² = 15² - 12²
a = √81
a = 9
Need answers
Chapter 3 geometry test on big ideas math
Answer/Step-by-step explanation:
WX: 4.47
[tex]4^{2} + 2^{2} = 20\\\sqrt{20} = 4.47[/tex]
XY: 3.61
[tex]3^{2} + 2^{2} = 13\\\sqrt{13} = 3.61[/tex]
YZ: 4.12
[tex]1^{2} + 4^{2} = 17\\\sqrt{17} =4.12[/tex]
WZ: 4.24
[tex]3^{2} + 3^{2} = 18 \\\sqrt{18} = 4.24[/tex]
The slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
Given is a polygon on a coordinate plane with vertices =
W = (-5, 1)
X = (-3, 5)
Y = (-1, 2)
Z = (-2, -2)
We need to find the slopes of line =
WX, XY, YZ and WZ
To find the slopes of the lines connecting the vertices of the polygon, we can use the formula for the slope between two points (x₁, y₁) and (x₂, y₂):
slope = (y₂ - y₁) / (x₂ - x₁)
Let's calculate the slopes for each line:
1) Slope of line WX:
W = (-5, 1)
X = (-3, 5)
slope(WX) = (5 - 1) / (-3 - (-5))
= 4 / 2
= 2
So, the slope of line WX is 2.
2) Slope of line XY:
X = (-3, 5)
Y = (-1, 2)
slope(XY) = (2 - 5) / (-1 - (-3))
= -3 / 2
= -1.5
So, the slope of line XY is -1.5.
3) Slope of line YZ:
Y = (-1, 2)
Z = (-2, -2)
slope(YZ) = (-2 - 2) / (-2 - (-1))
= -4 / (-1)
= 4
So, the slope of line YZ is 4.
4) Slope of line WZ:
W = (-5, 1)
Z = (-2, -2)
slope(WZ) = (-2 - 1) / (-2 - (-5))
= -3 / 3
= -1
So, the slope of line WZ is -1.
Therefore, the slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
Learn more about slope of a line click;
https://brainly.com/question/16180119
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Write each fraction as a percent.
8/20
Answer:
40%
Step-by-step explanation:
8/20=0.4
0.4=40%
10x^3-35x^2 please help me
Answer:
5x^2(2x-7)
Step-by-step explanation:
Hope this helps!
Show all work to factor x4 – 17x2 + 16 completely.
Answer:
(x - 4)(x + 4)(x - 1)(x + 1)
Step-by-step explanation:
Given
[tex]x^{4}[/tex] - 17x² + 16
Use the substitution u = x², then
u² - 17u + 16
Consider the factors of the constant term (+ 16) which sum to give the coefficient of the u- term (- 17)
The factors are - 16 and - 1, then
u² - 17u + 16
= (u - 16)(u - 1) ← replace u by x²
= (x² - 16)(x² - 1) ← both factors are difference of squares
= (x - 4)(x + 4)(x - 1)(x + 1)
Answer: -18
Step-by-step explanation: x4-17x2+16= -18
i am not completely sure but here. i hope this helps god bless
You deposit $500 in an account that earns 4% simple annual interest entrance and each year is added to the principal to create a new principal find the total amount in your account after each year for three years
Answer:
first year $20 second year $20.80 Third year $21.63
Step-by-step explanation: This is for an extra money per year so after the first year that is how much extra money he gets every year.
If f(x) = -3x + 5, find f(2).
Answer:
f(2)= -1
Step-by-step explanation:
f(2)=-3(2)+5= -6+5= -1
Answer:
-1
Step-by-step explanation:
f(x)=-3x+5
f(2)= -3(2)+5
=-6+5 = -1
4 -2x plus 5 when x =4
Answer:
1
Step-by-step explanation:
f(4)=4-2x+5
4-2(4)+5
4-8+5
1
Answer:
x=1
Step-by-step explanation:
4-2x+5
x=4 so substitute the x with 4.
4-2(x)+5
=1
PLEASE HELP!!!!!!!!
What is the value of x
3x+14+5x-2=10x-18
Thank you sooooo much have a blessed day
i need a very smart person to help me solve this
Answer:
0.3
Step-by-step explanation:
Identify the variable in the following situation. Mr. Gopal goes to the store and has 25 dollars. He has to buy some candy bars for 10 dollars total. How water bottles can he buy with his remaining money if each water bottle costs 5 dollars
Answer:
3 water bottles
Step-by-step explanation:
25-10=15
15/5=3
find the slope of the line y=-3/8x-7/6
Answer:
The slope is -3/8
Step-by-step explanation:
Y= mx+b
m or mx is the slope while b is the y intercept
Evaluate the expression for x = 2 and y = 4. Enter your answer in the box.
16x0 + 2x2 • y –1
Answer:
31
Step-by-step explanation:
PEMDAS
16(2) * 0.
32 * 0
=0
2(2) * 2
=8
8 * 4 - 1
32 - 1 = 31
Answer:
Its 6. Trust me.
Step-by-step explanation:
State if each triangle is a right triangle: *
13 in
2 in
12 in
Answer:
It would be a obtuse triangle instead
Step-by-step explanation:
By using pythagorean and theorem (a^2 + b^2 = c^2)
So it would be 13^2___2^2 + 12^2
When you square them, you get 169___4 + 144
144 + 4 = 148, which is less than 169
SO it would be 169>148
So no, not a right triangle
please help!!!! im really confused and no one is answering my questions
Answer:
x = 3.464 ft.
Step-by-step explanation:
To find x we use the trigonometric identity Sine.
[tex]sin\ \theta=\frac{perpendicular}{hypotenuse}\\\\sin\ 60=\frac{x}{4} \\\\4*sin60=x\\4*0.866=x\\3.464=x\\x=3.464\ ft[/tex]
Answer:
x = 3.464 ft.
Step-by-step explanation:
Select true statements
Answer:
the first one and last one are true
Step-by-step explanation:
Line u has a slope of 7/9. Line v is perpendicular to u. What is the slope of line v ?
Answer:
-9/7 bc the perpendicular is the inverse of the former slope
Step-by-step explanation:
Solve for x
(I’ve tried everything I can think of, but I still haven’t been able to solve this. Please help!)
Answer:
x = 6
∠2 = 75
Step-by-step explanation:
In the given triangle two sides are equal and so it is an isosceles triangle. So, the angles opposite to equal sides are equal
11x + 9 + 11x + 9 + 30 = 180 {Angle sum property of triangle}
11x + 11x + 9 +9 +30 = 180
22x + 48 = 180
22x = 180 - 48
22x = 132
x = 132/22
x = 6
∠2 = 11*6 + 9 = 66 +9 = 75
WILL GIVE BRAINLIEST
Write an equation in slope-intercept form with the given slope and y-intercept
IMAGE BELOW
Answer: slope: 1/4
y-intercept: 0,3
Step-by-step explanation:
Solve the following equation below.
Answer:
x=3 C
Step-by-step explanation:
5x-13=-3x+11
8x-13=11
8x=24
x=3
Answer:
the answer is x=3
Step-by-step explanation:
i hope this help you
Please help me out!
Answer:
c
Step-by-step explanation:
I NEED HELP ASAP IN THE PICTURE ABOVE
Answer:
Step-by-step explanation:
Even numbers are those that can be divided by 2.
3440 and 7802
Odd numbers are the rest
4893, 1451 and 6645
Smallest to largest
1451, 3440, 4893, 6645 and 7802
Sum of even numbers
3440+7802= 11242 divided by 2(there are only 2 numbers)
11242 ÷ 2 = 5621
help please giving brailiest
Answer:
1/4
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
16+8=24
What is 0.00015 in scientific notation?
Answer:
1.5 * 10^(-4) is the scientific notation.....
Help pls help me!!!!!
Answer:
C
Step-by-step explanation:
This is your answer because when you do the math you get c as your answer.
Hope this help:)
pls mark brainly
Answer:
The answer is C
Step-by-step explanation:
You had $72.31 at the beginning of the month but you deposited $11.27 and $14.76 so if you add all of those you get $19.84
Have a great day!
Please consider marking brainliest
^-^
137 students went on a field trip. five buses were filled and 7 students traveled in cars.
How many students were in each bus?
Answer:
Step-by-step explanation:
if we have 137 students, and out of this number 7 were in cars
137-7=130 students in buses
there are 5 buses
130/5=26
26 students in each bus
Help plisssssssssssssss!!!
Answer:
Question 2: v = 25n
Question 3: b (the output is 250 because 10 quarters is 250 cents)
Step-by-step explanation:
Each quarter is worth 25 cents. n represents the number of quarters you have. The number of quarters you have multiplied by 25 with give the value of the quarters in cents.
v = 25n
v = 25(10)
v = 250
(v represents the value in cents)