Answer:
Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.
h(x) = f(x) + g(x)h(x)=f(x)+g(x) h(x) = f(x) - g(x)h(x)=f(x)−g(x)
h(x) = \frac{f(x)}{g(x)}h(x)=
g(x)
f(x)
h(x) = f(g(x))h(x)=f(g(x))
And many more.
The approach or formula to use depends on the question.
In this case, the combined function is:
f(x) = 75+ 10xf(x)=75+10x
The savings function is given as
s(x) = 85s(x)=85
The allowance function is given as:
a(x) = 10(x - 1)a(x)=10(x−1)
The new function that combined his savings and his allowances is calculated as:
f(x) = s(x) + a(x)f(x)=s(x)+a(x)
Substitute values for s(x) and a(x)
f(x) = 85 + 10(x - 1)f(x)=85+10(x−1)
Open bracket
f(x) = 85 + 10x - 10f(x)=85+10x−10
Collect like terms
mark as brainiest
f(x) = 85 - 10+ 10xf(x)=85−10+10x
f(x) = 75+ 10xf(x)=75+10x
Solve the equation.
4.5=0.5n4.5=0.5n4, point, 5, equals, 0, point, 5, n
n=n=n, equals
Answer:
n=9
Step-by-step explanation:
Rewrite the equation as 0.5n=4.5.
0.5n=4.5
Divide each term by 0.5 and simplify.
n=9
PLEASE HELP ME
I don’t understand
Answer: Learn
Step-by-step explanation:
Me neither, stop cheating and pay attention in class.
Answer:
75 degrees and 105 degrees.
Step-by-step explanation:
So this is a transversal. We can use a couple different methods to solve this. We can use many different theorems to solve this problem. So we know that m<2=m<4 because of vertical angles, we also know that m<4=m<6 because of alternate interior angles. We also know that m<6=m<8 because of vertical angles. So we know that m<2=m<4=m<6=<8. In a transversal, there are only two different measurements. And those two different measurements add up to 180 degrees. So since once of the measurements is 75, that means the other measurement has to be 105 degrees. Also, we see that m<4 and m<5 are same side interior angles and according to that theorem, they have to equal up to 180 degrees.
Consider △DEF with vertices D(−5,−3),E(−1,1), and F(3,−7). Find the coordinates of the vertices of the final image of △DEF after the similarity transformation.
What is the value is equivalent to 5 + 4 × 2?
[tex]5 + 4 \times 2 \\ 5 + 8 \\ = 13[/tex]
We solved it using the rule:
BODMAS
B is for Brackets O is for OrderD is for DivisionM is for MultiplicationA is for AdditionS is for SubtractionAnswer:
[tex]\displaystyle 13[/tex]
Step-by-step explanation:
[tex]\displaystyle Grouping\:Symbols \hookrightarrow G \\ Exponents, Indices, or\:Radicals \hookrightarrow E \\ Multiplication\:and/or\:Division \hookrightarrow M \\ Subtraction\:and/or\:Addition \hookrightarrow S \\ \\ 5 + 4 \times 2 \hookrightarrow \\ \\ \boxed{13} = 5 + 8[/tex]
By using GEMS, the result is thirteen.
I am joyous to assist you at any time.
sfiso is not attending school on Saturday 1/3 of the day on sleep, 1/8 of his time on homework, 2/6 of the day playing and 5 hours doing other things. what fraction of the day does sfiso spend doing other things
Answer:
1/3+1/8+2/6=19/24-5=1/24
From the given parameters, the fraction of time spent doing other things is 5/24
How to determine the fraction of time?The given parameters are:
Sleep = 1/3
Homework = 1/8
Playing = 2/6
Doing other things = 5 hours
There are 24 hours in a day.
So, the fraction of time spent doing other things is the amount of time doing other things divided by the number of hours in a day
So, we have:
Time = 5/24
Hence, the fraction of time spent doing other things is 5/24
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Which inequality is represented by the graph?
A. y≥−1/2x+2.5
B. y>−2x+2.5
C. y≤−2x+2.5
D. y≥−2x+2.5
Can someone help me ?
Answer:
Write a composition in French about a market day
Add the following fractions by drawing them 3/8 +1/3
answer:
[tex]\sf \dfrac{17}{24}[/tex]
step-by-step explanation:
[tex]\sf \dfrac{3}{8} +\dfrac{1}{3}[/tex]
the largest multiple of 8 and 3 is 24, make the denominator same
[tex]\sf \dfrac{3(3)}{8} +\dfrac{1(8)}{3}[/tex]
expand
[tex]\sf \dfrac{9}{24} +\dfrac{8}{24}[/tex]
simplify, join both fractions
[tex]\sf \dfrac{17}{24}[/tex]
Answer:
[tex]\dfrac{17}{24}[/tex]
Step-by-step explanation:
Convert the fractions so that their denominators are the same, then add:
[tex]\dfrac38+\dfrac13=\dfrac{3 \times 3}{8 \times 3}+\dfrac{1 \times 8}{3\times 8}=\dfrac{9}{24}+\dfrac{8}{24}=\dfrac{17}{24}[/tex]
what are 5 good questions i can ask as an 8th grader to my teacher about mathematics
can include, functions, correlations,scattered plots, graph, equations,systems of substitution etc.
BRALIEST AND 40 POINTS
Answer:
Ask about the usage of euler's number in real world situations.
Ask about the usage of "i" for higher levels of math.
Ask about area under the slope.
Come up with some more stuff you are genuinely interested.
Step-by-step explanation:
What is the average
77,78,80
Answer:
78.3333333333
Step-by-step explanation:
77 + 78 + 80 = 235
235 ÷ 3 = 78.3333333333
Answer:
78.3333
Step-by-step explanation:
add all the numbers and divide by 3(as there are three numbers)
= 77+78+80 3= 235 3= 78.3333Please answer this correctly without making mistakes
Solve for N
28/4 = 21/N
Answer:
n = 3
Step-by-step explanation:
28/4 = 21/n
7 = 21/n
7/7 = 21/7
n = 3
For similar triangles ABC and DEF, the value of N=3.
What is similarity?Similarity of a triangle is the ratio of their corresponding sides or angles which are equal.
The given triangles are ABC and DEF,
Side AB = 21, BC = 28, DE = N and EF = 4.
Also, triangle ABC is similar to triangle DEF.
By similar triangle property,
AB/CD = DE/EF
21/28 = N/4
N = 21/7
N = 3
In the triangle DEF, side DE = 3.
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8. Isabella bought 16 roses. She divided her roses into groups. Then
she gave 4 groups away.
What is the fraction of roses that she has given away in the simplest
form?
Answer:
The fraction of roses that she has given away in the simplest form is
4/16=1/4
The front side of a warehouse is shown in this scale drawing. The width of the warehouse door in the drawing is 2.6 inches.
The scale that maps the drawing to the actual warehouse is 1 inch to 3.5 feet.
Answer:
the width of the door is 9.1 feetStep-by-step explanation:
2.6 feet into parts =
1 in
1in
0.6in
1in = 3.5 ft
3.5+3.5=7
0.6x3.5=
6x35=210
add the points,
2.10 or 2.1
0.6=2.1
7+2.1=9.1
so hence, your answer is 9.1 feet
Thanks!
You have to have 2 or more smiles so that you can share them to another person who doesn't have one.
:D
Sarah's book club finished a book
that's 183 pages long. How many pages did Sarah and the other three members of her club read altogether?
Answer:
732
Step-by-step explanation:
183 x 4
Help help math math
B. 5y - 12 = 18
Did it in class
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 60 pounds. The truck is transporting 70 large boxes and 60 small boxes. If the truck is carrying a total of 4000 pounds in boxes, how much does each type of box weigh?
Answer:
large: 40 lbssmall: 20 lbsStep-by-step explanation:
A system of equations can be written for the weights of the boxes based on the relationships given in the problem statement. One equation will be for the total weight of 1 large and 1 small box; the other will be for the total weight of 70 large and 60 small boxes.
Let L and S represent the weights of Large and Small boxes, respectively. The system of equations is ...
L + S = 60 . . . . . . combined weight is 60 lbs
70L +60S = 4000 . . . . weight of boxes in the truck
__
We can solve this by substituting for s in the second equation.
70L +60(60 -L) = 4000
10L = 400 . . . . . . . . . subtract 3600, simplify
L = 40
S = 60 -L = 20
A large box weighs 40 pounds; a small box weighs 20 pounds.
1. Mrs. Galicia is building a chicken farm in 2021 with an initial population of 3750 chickens. The farm grows at a rate of 2.15% annually.
(a) Use the exponential growth model to write an equation that estimates the population t years after 2021.
(b) Estimate the population of the town in 2036. *please show plug in step*
Hey there!
a) --›initial number = 3750
--›rate = 2.5%
let y be the population t years after 2021
So, y = 3750(1+2.15) ^ t
=> 3750 × 1.0215 ^ t
b) In 2036,
=> t = 2036 - 2021
=> 15
Substitute into the first value
=> 3750 × 1.0215 ^ t
=> 3750 × 1.0215 ^ 15
=> 5159.
Therefore, the population in 2036 would be 5159
Assume that based on 2,000 calories per day, you want to choose 1/8 of your daily calories from consuming milk. How many calories am I allowed to get from milk and how many cups per serving?(1 cup of milk has 150 calories)
Answer:
1.7 cups
Step-by-step explanation:
Firstly, we need to figure out how many calories of milk we are allowed to consume. This would be solved by dividing 2000 by 8 to find 1/8 of 2000.2000 ÷ 8 is 250 calories. With this information, now we can use the information we have about one cup of milk.If one cup of milk is 150 calories and we are allowed to consume 250 calories of milk, we can solve by dividing 250 by 150.250 ÷ 150 is 1.7 cups of milk.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
QUICKKK. Evaluate expression plzzzzz
Answer:
your answer is going to be 15.
lets break this down
|3−5|+13
=|−2|+13
=2+13
=15
Lakesha gave three tenths of her cookies to Bailey and five tenths of her cookies to Helen. What fraction of her cookies did Lakesha give away?
eight tenths of her cookies
five tenths of her cookies
three tenths of her cookies
two tenths of her cookies
Answer:
three tenths
Step-by-step explanation:
It says Lakesha gave her 3 tenths of her cookies to Bailey and 5 to helen so you can't reduce that so it would have to be 8/10s
Angles A and B are complementary to each other. If mA = 130 + x and mB = 170 + x, what is the value of x?∠∠
Answer:
-105
Step-by-step explanation:
This means their measures add to 90 degrees, so:
(130+x)+(170+x)=90
300+2x=90
2x=-210
x=-105
The value of x in the expression for the measure of the complementary angle is -105.
What is the numerical value of x?Complementary angles are simply angles that sum up to 90 degrees.
Given the parameter:
Angles A and B are complementary.
Measure of angle A = 130 + x
Measure of angle B = 170 + x
Value of x =?
Since angles A and B are complementary, their sum should be equal to 90 degrees.
Hence:
Angles A + Angle B = 90
Plug in the expressions:
(130 + x) + (170 + x) = 90
Combine like terms:
x + x + 130 + 170
2x + 300 = 90
Subtract 300 from both sides:
2x + 300 - 300 = 90 - 300
2x = -210
x = -210/2
x = -105
Therefore, x has a value of -105.
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Breaking Even on Pizza
Suppose the student organization you are apart of has decided to hold a pizza fund-raiser during finals week. Sure we have Cost + Markup = Selling Price, but this sounds more like Pizza + Finals = Success. Your club plans to purchase 50 pizzas and resell them in the student center. For your initial post, I'm hoping you'll get creative: tell us about your student group (and yes, you can make up one that you think you' be apart of).
Next, choose a pizza store to purchase from. You can purchase from somewhere local, or you can choose a chain as well. Research their current promotions on pizzas and find the cost per pizza (you can decide what size of pizzas to purchase since specials will vary). It probably makes sense to explain why you made the choice you did. How much will it cost to purchase 50 pizzas?
Lastly, calculate what you would need to charge per slice to break even. In other words, if you only wanted to sell pizza and not make a profit, what would you charge for each slice?
For your first reply post, reply to your own post. Since this is a fund-raiser, what would you suggest charging for each slice and, based on this, what would the percent markup be? Also, what would the net profit be if you sold all 50 pizzas?
For your second reply post, reply to someone else's post and decide if their cost per slice is too high. Would you pay that much for a slice of pizza? Suppose they only sold 40 pizzas. Will they still make a profit? Will they break even? If you think they should adjust the cost per slice, explain why.
Answer:
pls shorten your question for better answers
Step-by-step explanation:
<3 follow
Choose the letter of the equation for
the graph.
a. y = sin(x –T/2) + 1
b.y = cos(x +T/2) + 1
c. y = cos(x - 1/2) - 1
d. y = cos(x - 1) - 2
e. y = sin(x - 7) - 2
Kla
Answer:
the answer is d) y = cos(x - Pi) - 2
Step-by-step explanation:
you can see that on the graph that os must be -2.. so you can move it for 2 up
than you have to take in count that (x - Pi) so you move your graph for Pi to the left
and than you have to recognize the function.. if it goes through 0 is sin if not is cos
The equation for the graph y = cos(x - Pi) - 2.
You can see that on the graph that os must be -2.
So you can move it for 2 up.
What is the meaning of the graph?
A graph is a mathematical diagram that shows the relationship between two or more sets of numbers or measurements.
Then you have to take into count that (x - Pi).
So you move your graph for Pi to the left
Then you have to recognize the function.
If it goes through 0 is a sin if not is cos.
The equation for the graph y = cos(x - Pi) - 2.
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187 is what percent of 275?
68%
Step-by-step explanation:Hi there !
275 ________ 100%
187 __________ x %
x = 187×100/275
= 18700/275
= 68%
Good luck !
Solve for u.
3u + 4 = 7
u = 1
Step-by-step explanation:Hi there !
3u + 4 = 7
3u = 7 - 4
3u = 3
u = 3 : 3
u = 1
Good luck !
At 10.5 gallon aquarium is 2/3 full how many more gallons of water does it take to fill the aquarium
Answer:
5.25
Step-by-step explanation:
Kyla climbed to a height of 10 ft from the bottom of a rock climbing wall. She then climbed up an additional 5 ft. Kyla must climb down how many feet to return to the bottom of the climbing wall?
Answer:
15 ft
Step-by-step explanation:
10 + 5 = 15 ft
For a craft project, Lisa needs 12 pieces of material that are 6.45 inches wide. What is the total width of material that Lisa will need to buy?
The total width of the craft project is an illustration of products
The total width is 77.4 inches
How to determine the total width?The given parameters are:
Number of pieces = 12
Width of each piece = 6.45
The total width is the product of the number of pieces and the width of each piece.
So, we have:
Total = 12 * 6.45 in
Evaluate
Total = 77.4 in
Hence, the total width is 77.4 inches
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The weight of an objext on the moon is 1/6 of its weight on Earth. If a moon rock weighs 20 1/6 lb on Earth. How much did the moon rocj weigh on the moon?
Answer:
3.361111098 lbs (im not sure where your teacher wants you to round to)
Step-by-step explanation:
I believe that says 20 and 1/6 pound, so I'll do the equation according to that.
if it weighs 1/6 on the moon what it does on earth, multiply the earths weight of it by 1/6