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BRAINLEST! Madison determined that the function f(x)=3x+24 represents the cost of texting on her current cell phone plan, where x represents the number of texts. She discovers that using the inverse function to solve for x = 36, she can predict the how many texts she can use for $36. Explain to Madison how to accomplish this, using complete sentences. You may show any algebraic work necessary to support your explanation.
Answer:
Step-by-step explanation:
Start with f(x)=3x+24 and find the inverse function:
1. Replace "f(x)" with y: y = 3x + 24
2. Interchange x and y: x = 3y + 24
3. Solve for y: 3y = x - 24, or y = (1/3)(x - 24)
This last step results in the inverse function.
Now let's test this. Let x = 36. How many texts could Madison "do" for this dollar amount? y = (1/3)(36 - 24) results in y = (1/3)(12), or 4 (texts).
Let's go back to the original f(x)=3x+24, now letting x = 4:
f(x)=3(12)+24 = $36. This verifies that y = (1/3)(x - 24) is the inverse function of f(x) = 3x + 24.
You work at the library for 25 25 hours each month for $7 $ 7 per hour. You also earn $40 $ 40 each month for completing yard work. Use the drop-down menus to complete the equation to show a way to calculate your total monthly income, m .
Answer:m =
(25×7) + 40 = m
Step-by-step explanation:
i just know how to do this my brain just does it
please help me lol im begging yall
Answer:
28 cm
Step-by-step explanation:
the unmarked angle is 32°
180°-90°-58°=32°
cos(32°)=[tex]\frac{24}{c}[/tex]
c=[tex]\frac{24}{cos(32\textdegree)}[/tex]
=28.3
≈28
Determine if (-11, -284 ) is a solution to the given equation: y = 14x - 129 ?
Answer:
No, it is not a solution of the equation.
Step-by-step explanation:
x=-11, y=-284
14 · (-11)-129=-283
-283≠-284
1=-10
Hello. I'm currently a freshman in highschool and ran across this question and I forgot how to do it before. Can i get some help?
Help!!!!!!! I will give the brainiest if right!
Answer:
60%
Step-by-step explanation:
First we must find how many chocolate their was. 60 - 24 = 36
36 is 60% percent of 60.
Un inversionista coloca 1.000.000 en un banco durante un año a una tasa de interés del 16% capitalizable mensualmente. ¿Cual es la tasa efectiva?
Answer:
Tasa efectiva anual= 0.1722= 17.22%
Step-by-step explanation:
Dada la siguiente información:
Tasa de interes anual= 16% capitalizable mensualmente
Primero, debemos calcular la tasa nominal mensual:
Tasa mensual= 0.16 / 12= 0.01333
Ahora, usando la siguiente formula, la tasa efectiva anual:
Tasa efectiva anual= (1 + i)^n - 1
Tasa efectiva anual= (1.01333^12) - 1
Tasa efectiva anual= 0.1722= 17.22%
Use the quadratic formula to solve 2^2 − 5 − 5 = 0
The formula is : ( -b ± √b^2 - 4ac ) / 2a
Answer:
x = 5/4 + √65/4 or x = 5/4 - √65/4
Step-by-step explanation:
I'm assuming you mean 2x^2-5x-5=0?
x = ( -b ± √b^2 - 4ac ) / 2a
x = ( -(-5) ± √(-5)^2 - 4(2)(-5) ) / 2(2)
x = ( 5 ± √(25 + 40) ) / 4
x = ( 5 ± √65 ) / 4
x = 5/4 ± √65/4
Therefore, x = 5/4 + √65/4 or x = 5/4 - √65/4
 Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
First answer: 3
Second answer: 6
Each square you see on the cube you add +1 to get 3
But in total the cube has 6 faces
Answer:
You can see 3 faces
There are 6 faces in a cube
18) Which choice shows three lengths that cannot be the lengths of the three sides of a triangle? OA) 10 cm, 9 cm, 3 cm OB) 3 cm, 5 cm, 10 cm OC) 15 cm, 10 cm, 7 cm OD 10 cm, 10 cm, 10 cm
Answer:b am pretty sure
Step-by-step explanation:
HELP PLEASEEEE NO BITLYS OR LINKS
Olive flipped a coin and rolled a number cube with the
numbers 1-6 on it. What is the probability that she flipped
heads and rolled an even number?
1
2
3
4
5
6
H
HT
H2
83
H5
16
т
T1
T2
T3
T4
T5
1
3
3
avate Windows
ettings to coate nous
11
Q
a
SPM
428/2021
Answer:
The answer would be 3, 50%, 3/6, 1/2
Step-by-step explanation:
Half the numbers are even numbers while the other half is uneven.
1 3 5
2 4 6
1. A coin is tossed once, what is the probability of getting a head
Answer:
The answer is...1/2
Step-by-step explanation:
1- head
1-tail
To get head-1/2
Answer:
the answer is 1/2
Step-by-step explanation:
you have 2 sides each side a 50% chance
This is a pic of my question..
Answer:
The answer is c
Step-by-step explanation:
5x+3y=19
multiply x 2: 10x+6y=38
2x-4y=-8
multiply by -5: -10x+20y=40
now you can add the two equations:
10x+6y=38
-10x+20y=40
add equations 0x+26y=78
Y=3
The base of a rectangular prism is 5 meters long and 4 meters wide. The prism is 6 meters high. A rectangular pyramid has the same length, width, and height as the prism. What is the ratio of the volume of the rectangular pyramid to the rectangular prism?
Volume of prism: 5 x 4 x 6 = 120 cubic meters
Volume of pyramid: 5x4 x 6/3 = 40 cubic meters
Ratio: 40/120 = 1/3
Please help. Thank you!!
Answer:2444
Step-by-step explanation 23333
A kite is designed on a rectangular grid with squares that measure 1 cm by 1 cm. A piece shaped like a rhombus within the kite will be reserved for the company logo. Use the grid to identify the perimeter and area of space reserved for the logo.
Please help!!
It is recommended that one fire extinguisher be available for every 4,520 square feet in a building. Write and solve an equation to determine x, the number of fire extinguishers needed for a building that has 88,140 square feet.
Answer:
There are 19.5 extinguishers needed.
Step-by-step explanation:
Given that,
One fire extinguisher be available for every 4,520 square feet in a building.
We need to find the value of x if the number of fire extinguishers needed for a building that has 88,140 square feet.
x = (Area of building)/(Area of one fire extinguisher)
So,
[tex]x=\dfrac{88140}{4520}\\\\x=19.5[/tex]
So, there are 19.5 extinguishers needed.
jolie manages an annual film festival in her town. Every year, one movie from every genre is chosen as a finalist to win best film. The following double bar graph represents the votes each film received by adults and children.
Based on the data in this bar graph, which movie received 20% of the total votes? How do you know?
Answer: 191 students and ninety seven 10th graders were surveyed
Step-by-step explanation:
Evaluate: cos ω, if tan ω = - 4/3 and sin ω > 0
Answer:
-3/5
Step-by-step explanation:
tan = opp/adj using pathagorean the hypt is 5
cos = 3/5
tan is negative in quad 2 and 4
sin is positive in quad 1 and 2
so because tan is negative and sine is positive the cosine is negative
-3/5
How many 4-digit odd numbers can you make using the digits 1 to 7 if the numbers must be less than 6000? No digits are repeated.
Answer:
Step-by-step explanation:he first digit must be a 6, 7, or 8, because the number has to be bigger than 6,000.
The last digit must be a 1, 3, 5, or 7, because the number has to be odd.
So if the first digit is 6 or 8, there are 4 odd-number options for the last digit. If the first digit is a 7, then there are only 3 options for the last digit, as 7 can’t be used twice.
The other two digits can be anything that’s not already used. So for each first-and-last combination of digits mentioned above, there will be six options available for one of the middle digits, and then for each of those 3-digit combinations, five options will be available for the final remaining digit.
At this point, we have everything we need to express this as an equation:
x = (2 x 4 + 1 x 3) x 6 x 5
And then we can simplify and solve:
x = (8 + 3) x 30
x = 11 x 30
x = 330
The
Black
for this set of data is 23.
11 27 14 34 16
17
A mean
B median
c) mode
D)Range
Answer:
D
Step-by-step explanation:
Add 11,27,14,34,16, and 17 then divide by 7
I spend and save £48 in
the ratio 2:1. How much
did I save?
Answer:
£16
Step-by-step explanation:
save = 1/3 * 48
48/3 = 16
£16
Answer:
hi
Step-by-step explanation:
i think so,
2:1=48
2k+1k=48
3k=48
k=16
spent 16×2=32
saved 16 £
hope it helps
have a nice day
What does a continuous domain mean, explain it like I'm 5 years old
Answer:
set of input values that consists of all numbers in an interval.
Step-by-step explanation:
Answer:
A continuous domain is a set of input values that consists of all numbers in an interval.
Step-by-step explanation:
I don't know how to explain it to a five year old. Sorry
What is the volume of the prisim?
This prism measures 3 units by 4 units by 2 units.
Answer:
24
Step-by-step explanation:
3*4*2=24
What is the area of the polygon? Show your work!
Answer:
6+6=12 cm
4+4=8 cm
6+6= 12 cm
Add all together and it equals 32
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
I LOVE DOING THESE
4x6=24
24x0.5=12
12x4=48
4x4=16
48+16=64
Please answer correctly
Answer:
x = 20
Step-by-step explanation:
In parallelograms opposite angles are congruent and angles that are on the same line are supplementary
This means that ∠TUR and ∠URS are supplementary angles
Supplementary angles have a sum of 180°
That being said we can find the missing angle ( ∠ URS ) by subtracting the measure of the given angle ( ∠TUR which has a measure of 160° ) from 180
so ∠URS = 180 - ∠TUR ( 160 )
180 - 160 = 20
Hence, ∠URS = 20°
please describe the difference between the slope and the y-intercept. Please also describe how we can use the slope and y-intercept to graph.
Answer:
The slope is basically the rate of change in which it describes how steep the line is. The y-intercept is a point in the graph in which a point crosses the y axis.
The slope and the y-intercept is connected with the formula y=mx+b, where b is the y intercept and mx is the slope. With this equation, you can graph by first putting your y-intercept (b) in the graph, remember that the y-intercept has x as 0, for example (0,4) or (0,12). After that, all you have to do to complete the line is to use the slope by plugging the x to the slope and adding the y-intercept.
Now you might have a little idea of what is the slope and y-intercept, and might still be confused on certain things, so ill give an example.
ex) you are given the formula y=2x+4 and you are asked to graph it
step 1) you take the b, which is 4 and put it in the graph, knowing the the point is (0,4) because b is the y-intercept, which means that x=0.
step 2) take a random x point on the xaxis and plug it in the formula, then you add the b (4), lets say x=2
so it will become 2(2) +4 = 6, so when x=2, y is 6.
Now you have found 2 points, (0,4) and (2,6), all you have to do is plug it in the graph.
The graph is drawn below.
If you have anymore questions, don't hesitate to message me.
Hope that answers your question, good luck in your test
ps. Math becomes waaaay harder
Step-by-step explanation:
Solve for the area
Triangle B=6m h=4m A=
Answer:
Area is 12 square meter
Step-by-step explanation:
The formula for the area of a triangle is 1/2 (b)(h)
which is 1/2 (6)(4) which is 12.
7/6 written as a mixed number
Answer:
1 1/6
Step-by-step explanation:
A mixed number is a proper fraction.
Answer:
[tex]1\frac{1}{6}[/tex]
Step-by-step explanation:
We are given the fraction of [tex]\frac{7}{6}[/tex].
There are enough parts to make one whole, with one remaining.
Six sixths for the whole, the fraction would be one-sixth.
[tex]\frac{7}{6}=1\frac{1}{6}[/tex]
Hope this helps.