If f(x) = -4x - 5 and g(x) = 3 - X,the value g(-4) + f(1) is equal to -2.
The function f(x) is f(x)=-4x-5
The function g(x) is g(x)=3-x
g(-4)=3-(-4)=3+4=7
f(1)=-4(1)-5=-9
g(-4)+f(1)=7+(-9)=7-9=-2
What is the composition of functions?
Composition is the process of the generation of new functions.It is basically applying a function to a function.The domain is also changed for the new function.A function is composed in mathematics when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.To learn more about the composition of function visit:
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One pound equals approximately 454 grams.
About how many grams is à pound?
Answer:
454 grams I believe..................
Mrs. Salome charged php. 3,655.00 worth of groceries on her credit card. The balance of her credit card after she made a payment is Php 2450.00.
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A phone company has two long distance plans. Plan A charges a flat monthly fee of $13 and $0.37 per minute of long distance calls Plan B charges a flat monthly fee of $28 and $0.15 per minute of long distance calls. After how much time on long distance calls to the nearest minute, would the cost of plan A be equal to the cost of plan B?
Answer:
68.18minStep-by-step explanation:
let the cost of plan A be Y1
and the cost of plan B be Y2
let the number of minutes for both plans be x
let us model the cost of plan A
Y1= 13+0.37x-------1
let us model the cost of plan B
Y2= 28+0.15x------2
when Y1=Y2, we can now solve for x which is in minutes
13+0.37x=28+0.15x
collect like terms
13-28=0.15x-0.37x
-15=-0.22x
divide both sides by -0.22
x=-15/-0.22
x=68.18min
Which property is illustrated by the following statement?
5g + 7 = 7 +5g
O A. Commutative Property of Multiplication
OB. Inverse Property of Multiplication
O
C. Commutative Property of Addition
D. Associative Property of Addition
What is this answer ?
Answer:
One possible answer is 25/4
Answer:
x > 84
Step-by-step explanation:
Multiply each side by 4 to cancel out the 4 under x. It should now look like this: x > 84I hope this helps!
*to plot on the number line is the photo below*
In the figure below, F is between E and G, and G is between F and H. IF EH=9, FH = 7, and EG=6, find FG.
Answer:
EH = 9
FH = 7
EG = 6
EF = EH - FH
EF = 9 -7
EF = 2
FG = EG -EF
FG = 6 -2
FG = 4
Step-by-step explanation:
What is 3x+4=10 solve for x
Please help me
Answer:
x=2
Step-by-step explanation:
3x+4=10
3x=10-4
3x=6
x=6/3
x=2
3 =2b -3 can someone help me understand this
Answer:
Step-by-step explanation:
Answer: 3=b
Step-by-step explanation:
First get the like terms 3 and (-3) on one side.
You do this by either adding or subracting, it depends on the sign of the number. -3 is negative 3 but you have to add it to make it zero and on the other side you add it and get 6.
Then you divide 6 by 2. 2b by 2 to get the variable alone and 3=b is your answer.
Benito and Tyler are painting opposite sides of the same fence. Tyler has already painted 19 ½ feet of his side of the fence when Benito starts painting. Part A: How long will it take for the two sides of the fence to have an equal number of feet painted? 80 minutes How many feet will be painted on Benito's side of the fence when the two sides have an equal number of feet painted? 45 feet Part B: Tyler claims that because he started painting first, he will finish painting his side of the fence before Benito finishes painting his side. Is this true? Explain. Part C: The painter who finishes first gets to rest while the other painter finishes. How long will the painter who finishes first get to rest? Explain.
Answer:
Part A: The time it will take for both of them to painted equal number of feet is 4.875 minutes
The number of feet Benito will have painted when the two sides have equal length is 73.125 feet
Part B: It is not true that Tyler will finish painting his side of the fence before Benito finishes painting his
Part C: Time to rest is 1.864 minutes
Step-by-step explanation:
The given information are;
The length of fence Tyler already painted when Benito started = 19 ¹/₂ feet
Benito paints 15 feet/minute
Tyler paints 11 feet/minute
Length of fence = 150 feet
Part A:
The time it will take for both of them to painted equal number of feet is given as follows;
11×t + 19.5 = 15×t
4×t = 19.5
t = 19.5/4= 4.875 minutes
The time it will take for both of them to painted equal number of feet = 4.875 minutes
The length Benito will have painted when the two sides have equal length = 15 × 4.875 = 73.125 feet
Part B: The time it will take Tyler to finish painting his side of the fence is given as follows;
11 × t + 19.5 = 150
t = (150 - 19.5)/11 ≈ 11.864 minutes
While the time it will take Benito to finish painting his side of the fence is given as follows;
15 × t = 150
t = 150/15 ≈ 10 minutes
Therefore it is not true that Tyler will finish painting his side of the fence before Benito finishes painting his
Part C: Given that Benito finishes before Tyler, the length of time Benito gets to rest is given as follows;
Time to rest = Time Tyler takes to finish - Time Benito takes to finish
Time to rest = 11.864 - 10 = 1.864 minutes.
The graph shown represents the height (h) of a hiker during a period of time (t). Use the vertical line test to determine if the relation represented on the graph is a function. Complete the explanation.
since___vertical line will pass through more than one point,the graph_____the vertical lines test so the relation____ a function
Answer:
answers?
Step-by-step explanation:
One factor of a polynomial p(x) is (x + 7).
What is the numerical value of p(-7)?
Dene-
My Progress
The required value of function p(x) at x = -7, p(-7) is zero.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
As given that one factor of a polynomial p(x) is (x + 7).,
Since factor x, + 7 also represents one of the zeros of a polynomial function p(x).
So, when one put the value x = -7 in the function, the function gives zero in the outcome.
Thus, the required value of function p(x) at x = -7, p(-7) is zero.
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Two cars are 350 miles apart when they start moving towards each other. The cars are moving with the speeds of 65 mph and 75 mph. How long after they leave will the distance between them be 70 miles?
How long after the cars leave will they be 70 miles apart for the first time?
Answer:
2 hours
Step-by-step explanation:
p=13 z=4
you have 5p outfits in your closet your friend has 9z who has more outfits in there closet
Answer:
you have more outfits than your friend
Step-by-step explanation:
you:
5*13=65outfits
friend:
4*9=36outfits
Eliza's backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it. Without her math book, her backpack weighs 14 and StartFraction 7 over 8 EndFraction pounds. How much does Eliza's math book weigh? 3 and StartFraction 11 over 72 EndFraction pounds 3 and StartFraction 65 over 72 EndFraction pounds 4 and StartFraction 11 over 72 EndFraction pounds 4 and StartFraction 65 over 72 EndFraction pounds
Answer:
[tex]Math\ Book = 3\frac{65}{72}\ kg[/tex]
Step-by-step explanation:
Given
[tex]Backpack = 18\frac{7}{9}kg[/tex] --- with math book
[tex]Backpack = 14\frac{7}{8}kg[/tex] --- without math book
Required
Determine the weight of her math book
To do this, we simply calculate the difference in the weights given.
Math Book= Backpack(with math book) - Backpack (without math book)
[tex]Math\ Book = 18\frac{7}{9} - 14\frac{7}{8}[/tex]
[tex]Math\ Book = \frac{169}{9} - \frac{119}{8}[/tex]
Take LCM
[tex]Math\ Book = \frac{8 * 169 - 9 * 119}{72}[/tex]
[tex]Math\ Book = \frac{1352 - 1071}{72}[/tex]
[tex]Math\ Book = \frac{281}{72}[/tex]
[tex]Math\ Book = 3\frac{65}{72}\ kg[/tex]
Answer:
b
Step-by-step explanation:
What is the simplified form of the following expression?
13[6^2 ÷ (5^2 – 4^2) + 9]
i have messed up the typing on this so many times.
Answer:
169 is the answer.
Step-by-step explanation:
I used a calculator.
Which choice is equivalent to the expression below
Answer:
B
Step-by-step explanation:
solve the equation for the indicated variable (For R)
[tex]v = \frac{r - s}{2} [/tex]
Answer:
[tex]r=2v+s[/tex]
Step-by-step explanation:
[tex]v=\frac{r-s}{2}\\\\2(v)=2(\frac{r-s}{2})\\\\2v=r-s\\\\r-s=2v\\\\r-s+s=2v+s\\\\r=2v+s\\\\\dagger[/tex]
Answer:
Your answer is: r= 2v+s
Solve for r by simplifying both sides of the equation, then isolating the variable.
Step-by-step explanation:
Hope this helped : )
What is quadratic and not quadratic?
Answer:
Step-by-step explanation:
A quadratic equation must contain
an [tex]x^{2}[/tex] term
and must not contain terms with degrees higher than [tex]x^{2}[/tex].
A non/not quadratic equation doesn't have an [tex]x^{2}[/tex] term. It also features a term such as [tex]x^{3}[/tex] which isn't allowed in quadratic equations
Answer:
A quadratic equation contains a quadratic term (x²), as per the name. The quadratic term must be any variable squared. A non-quadratic equation is an equation that does not contain a quadratic term such as x².
The format for a quadratic equation should look like so: ax² + bx + c = 0, in which a, b, and c are all real numbers and a cannot be equivalent to 0. An example of a quadratic could be: 5x² + (-3x) + 5 = 0.
An example of a non-quadratic equation could be: x³ - 81 = 0.
Hope this helps!
Dorothy is buying desks. This table shows how the cost depends on
the number of desks purchased.
Desks Cost ($)
8
24
9
27
10
30
11
33
What is the constant of proportionality of this relationship?
Answer:
one desk costs $3
Step-by-step explanation:
the increase in prices if another table were added on is $3 thus for every table you buy, $3 each
$=3x
x being the number of tables
furthermore, constant increase
5 – 2 (x - 2) = –2 (x + 1) + 11
show me how to do it
Answer:
All real numbers
Step-by-step explanation:
Use distributive property
5 - 2(x - 2) = -2(x + 1) + 11
5 - 2x + 4 = -2x - 2 + 11
Add like terms
9 - 2x = -2x + 9
9 = 9
All real numbers
−4 4/5÷4 what is the awnser?
Answer:
-1.2 or -1 1/5
Step-by-step explanation:
Cody buys a baseball bat for $164.50 and a baseball glove for $37.25. He estimates the total cost of the bat and glove by rounding each cost to the nearest $10. Drag numbers to the boxes to show how Cody rounds the costs. $160$35$165$30$150$170$40$50 Cody rounds $164.50 to and $37.25 to .
Answer:
Cody rounds $164.50 to and $37.25 to $160 and $40, respectively.
Step-by-step explanation:
Given
[tex]Bat = \$164.50[/tex]
[tex]Glove = \$37.25[/tex]
Required
Approximate to nearest $10
To answer this, we simply approximated both to the nearest tens.
For Bat, we have:
[tex]Bat = \$164.50[/tex]
[tex]Bat = \$160[/tex] approximated
For Glove, we have:
[tex]Glove = \$37.25[/tex]
[tex]Glove = \$40[/tex] approximated
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Answer:
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Heather bought a new shirt for $17.46. She paid with a $20 bill. How much change did she get back?
Answer: 3.46
Step-by-step explanation:
Anne has $5000 in her savings account and decides to leave there for three years. After one year the account increases by 10%, the following year it decreases by 5% and in the third year it increase by 15%. How much is in the account after three years?
Answer:
$6000
increases by 10% but you then take away 5% fron the 10 as it decreases by 5. meaning you have incresed by 5% and adding the 15% equals 20%. so the account increases by 20%. 20% of 5000 equals 1000. add the two together and you get 6000. so the account total now is $6000
Billy is paid $100 for 25 hours of work. What is the rate?
Answer:
1 hour: 4 dollars
Step-by-step explanation:
If Billy is being paid $100 for 25 hours of work, that means for every 5 hours of work, he is making $20. This means that for every hour of work, Billy is making $4. So the rate is 1 hour: 4 dollars
I hope this helps :)
On Monday, Joseph got a notice from the bank saying that he had overspent, so his account balance was -$53. On Tuesday, he withdrew at the bank’s cashier a $60 amount. On Friday, he then deposited his weekly salary of $420. What will be Joseph’s bank account balance after he deposited his weekly salary?
Answer:
433 dollars I think. I'm not 100% sure
Answer:
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Step-by-step explanation:
A sweater is on sale for $34.15 . If the markdown on the sweater is 45% off , what was the original cost for the sweater ? pls help me .
The complete cost of purchasing an asset is known as the original cost.The whole costs associated with purchasing and using an asset are taken into account when calculating its initial cost.
Find original cost ?Subtract the asset's cost from its salvage value (what you anticipate it to be worth at the end of its useful life) to determine depreciation using the straight-line technique.The amount that can be depreciated, or the depreciable basis, is the outcome.Subtract this sum from the asset's useful life, which is measured in years. Revenue less costs equals profit.Markup is calculated as follows: markup = 100 * (revenue - cost) / cost.And finally, use revenue = cost + cost * markup / 100 if you need to know the selling price. The gross profit of a unit, which is its sales price less its cost to produce or acquire for resale, is divided by the unit's cost to determine the markup %.The markup percentage, which is computed as (12 - 8) / 8, is 50% for an item that costs the business $8 to produce but is priced at $12.Original cost = $ 34.15 - $ 0.45/ 100
= 0.33%
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3. Find f(-2) for
the function below.
f(x) = 9• (1/5)^x
Answer: f(-2) = 225
Step-by-step explanation:
Plug in x which is -2 because f(x) = f(-2):
f(-2) = 9 • 1/5^-2
f(-2) = 9 • 25
f(-2) = 225
Hope this helps!
Answer:225
Step-by-step explanation:
BIG BRaIN
Pranav spent half of his weekly allowance on candy. To earn more money his parents let him clean the gutters for $6. What is his weekly allowance if he ended with $13?
Answer:
14 dollars
Step-by-step explanation:
13-6= 7 which is the half he spent so 7 times 2 is 14