Step-by-step explanation:
(f o g)(x)
= f(3x² - 5)
= (3x² - 5) + 2
= 3x² - 3.
(f.g)(x) = 3x^2 - 3
f(x) = x + 2
g(x) = 3x^2 - 5
equation is the relationship between variable and represented as is example of polynomial equation.
f(x) = x + 2
g(x) = 3x^2 - 5
now putting the x = g(x)
in f(x) = x + 2
Thus,
f(g(x)) = 3x^2 - 5 + 2
f(g(x)) = 3x^2 - 3
Thus, (f.g)(x) = 3x^2 - 3
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What is the x intercept of the graph of 3x-y+6=0
Answer: It would be 2,0 :) Please tell me if I'm wrong
Step-by-step explanation:
A landscaping service company charges customers a one-time fee and an hourly rate of $15. For 1 hour of service, the company charges $45. Write an equation to represent the total charge C for h hours of landscaping.
Answer:
C = $30 + $15h
Step-by-step explanation:
Given that:
Hourly rate = $15
One time fee = x
Amount charged for an hour of service = $45
Hence,
One time fee + $15* 1 = $45
One time fee = $45 - $15
One time fee = $30
Hence, total charge C for h hours of landscaping:
Total charge = one time fee + (hourly charge * number of hours)
C = $30 + $15h
Annika sells 6 inch pies for $5.00 and 8 inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8 inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8 inch pies she sold. She wrote the system below.
6 x + 8 y = 133. 2 x = y.
Which statements about the system are true? Check all that apply.
Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.
Since the 8 inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8 inch pies, the second equation should be x = 2 y to balance the values.
The first equation is correct because 6x represents the money earned for 6 inch pies and 8y represents the money earned for 8 inch pies.
The second equation is correct because there are more 6 inch pies and 2 times a number is always more.
Answer:
See below!
Step-by-step explanation:
Only the first choice is accurate.
The second choice is incorrect since it doesn't accurately represent the situation described.
The third choice is incorrect since it also doesn't accurately represent the situation described.
The fourth choice is incorrect since the equation is meant to show the cost of the pies, not the size.
While the fifth choice is correct in that the second equation is accurate, the reasoning is inaccurate.
Answer
Only option 1 is correct
The volume of a rectangular prism, with length l, width w, and height h, is given by the formula l×w×h. Suppose that you know that the height of a rectangular prism is 10 cm and that the volume is 100cm3. What are the possibilities for the other dimensions, l and W, of the prism? Give your answers as pairs of positive integers. I don't really understand what this question's trying to ask me. And I don't know the steps on how to calculate it.
Answer:
(100,1) (50,2) (25,4) (20,5) (10,10)
Step-by-step explanation:
Given
[tex]V = l * w * h[/tex]
[tex]h = 10cm[/tex]
[tex]V = 1000cm^3[/tex]
Required
Determine the possible values of l and w
We start by substituting 1000 for V and 10 for h in t he given formula
[tex]V = l * w * h[/tex]
[tex]1000 = l * w * 10[/tex]
Divide both sides by 10
[tex]100 = l * w[/tex]
Reorder
[tex]l * w = 100[/tex]
This implies that when the value of l and w are multiplied together, the result is always 100.
Possible values of (l,w) are: (100,1) (50,2) (25,4) (20,5) (10,10) and many more
6. Solve the equation: (c+3)−2c−(1−3c) = 2
a. c=−1 b. c=1 c. c=0 d. c=4
Answer:
C- C=0
Step-by-step explanation:
Will mark Brainliest!!!
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.
There is a number that is three-fifths the total of the other number. When four is added to one of the numbers their sum will be equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they?
Answer:
6 and 10
Step-by-step explanation:
Let a = the first number(3/5 of the second number namely b)
Let b = the number that is 5/3 of a
a=3/5 b
Assuming they are both positive integers, obviously you will have to add 4 to a.
4+a = b
4 + 3/5 b = b
2/5 b = 4
b = 10
a=6
ONLY ASSUMING IF THEY ARE BOTH POSITIVE INTEGERS
A car dealership sold 84 cars in April. The dealership wants to increase the number of cars sold by 25% in May. How many cars will the dealership need to sell to reach their goal?
Answer: 105 Cars
Step-by-step explanation: To get an increase of 25% you need to multiply 84 by .25 then add the product of that to 84 to get 105
The number of cars dealership need to sell to reach their goal is, 105 cars
What is the percentage?Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".
Given that,
A car dealership sold 84 cars in April,
The dealership wants to increase the number of cars sold by 25% in May
The number of cars dealership need to sell to reach their goal = ?
This represents a 25% increase, which is the same as adding one quarter to the original number of cars sold.
The car dealership wants to increase the number of cars sold by 25% in May, which means that they want to sell,
⇒ 84 x 1.25 = 105 cars
So, the dealership will need to sell 105 cars in May in order to reach their goal of increasing the number of cars sold by 25%.
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What is the value of x y and z
I’ll give brainliest
Answer:
x=2
length y = 4
angle Z = 45
Step-by-step explanation:
x^2 = 2x^2 - 4
put like terms on same sides, lets subtract x^2 to both sides
0 = x^2 - 4
add 4 to both sides
4 = x^2
square root of 4 = 2
x=2
since it is a square, we know all sides are the same length (proof also shown) so y is equal to the other side x^2
y = x^2
y = 4
Angle Z is 45 degrees, because a square has all right angles that are 90 degrees, but a diagonal evenly splits angle into two 45 degree parts.
please give thanks by clicking the heart button! :)
help.............gigfjfgjfjf
Answer: B
Step-by-step explanation :}
HURRY PLZ I WILL GIVE BRAINLIEST....Fernando evaluated the expression below. StartFraction 5 (9 minus 5) over 2 EndFraction + (negative 2) (negative 5) + (negative 3) squared = StartFraction 5 (4) over 2 EndFraction minus 10 + 9 = StartFraction 20 over 2 EndFraction minus 10 + 9 = 10 minus 10 + 9 = 9. What was Fernando’s error? Fernando evaluated the numerator of the fraction incorrectly. Fernando simplified StartFraction 20 over 2 EndFraction incorrectly. Fernando incorrectly found the product of –2 and –5. Fernando evaluated (negative 3) squared incorrectly.
Answer:
The correct answer is...
Fernando incorrectly found the product of –2 and –5.
I hope this helps! Have a nice day!
Identify the solution that has grouped the like terms correctly.
-2+6y+m-2y+8-4m
Answer:
C
Step-by-step explanation:
The terms with the same variable are like terms.
PLS HELP TON OF POINTS AND BRAINLIEST
Answer:
sss axiom
Step-by-step explanation:
Answer:
wa pow
Step-by-step explanation:
Which table does NOT show direct variation?
Answer:
Tables 3. The one in the bottom left corner.
Step-by-step explanation:
The values of table C is not in variation.
What is variation?Two sorts of quantities typically exist in a mathematical equation when a relationship is established for a certain type of parameter. One is a constant that stays the same regardless of how the other variables in the equation vary, and the other is a variable that changes depending on the circumstances. Variation is the term used to describe the changing of variables.
Given tables,
A direct variation is a straightforward relationship between x and y. To find a direct relationship, either use the formula y = kx or divide y over x (y/x).
Relation for table A
y /x = -3/1 = -3
y /x = -9/3 = -3
y /x = -18/6 = -3
y /x = -36/12 = -3
relation is in variation.
Relation for table B
y /x = 3/1 = 3
y /x = 9/3 = 3
y /x = 18/6 = 3
y /x = 36/12 = 3
relation is in variation.
Relation for table C
y /x = 4/1 = 4
y /x = 6/3 = 2
y /x = 9/6 = 3/2
y /x = 15/12 = 5/3
Equation doesn't have a direct relationship between x and y.
Relation for table D
y /x = 2/1 =2
y /x = 6/3 = 2
y /x = 12/6 = 2
y /x = 24/12 = 2
relation is in variation.
Hence the table C is not in variation.
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PLEASE HELP WILL GIVE 40 POINTS!!!!
The Pasadena High school biology club is planning a trip to Yosemite National Park. The trip will cost $300 per club member plus and $800 deposit. Which of the following graphs models the total average cost of the trip per club member?
Answer:
Answer: D (the last graph)
Step-by-step explanation:
In this item, we are given that each student is to pay an amount equal to $300 on top of the $800 that is assumed to be divided by the total number of students who will join the field trip. In this case, the more number of students, the lesser would be the amount the student will pay from the deposits.
If there are infinite number of students, one student will partake almost $0 in the deposit. The answer to this item therefore is the last graph.
Answer:
d
Step-by-step explanation:
The equation below is the equation of a line in point slope form, what is the x-
coordinate of the point?
y+5=—3 (x+6)
Answer:
Step-by-step explanation:
X=-x^2+x-5
Evaluate the following expression when x = 1/2 and y = -3.
-4xy
Answer:6
Step-by-step explanation:
-4xy
-4(1/2)(-3)
-4(-1.5)
6
Which of the following expression has a terminating decimal?
6556 divided by 55
9565 divided by 11
7986 divided by 18
4546 divided by 33
Answer:
1.# = 119.2 2.# = 869.545454545 3.# = 443.66666666 4.# = 13501.3939394
Step-by-step explanation:
i don't know about the 2 one and 3 and 4 one that came up a very big number. I used a calculator though.exactly way you tired to tipe it in sorry it took so long to answer the problem!!!.
Pls solve... will give brainliest... linear inequality
Can anybody do this for me please
Answer:
it very simple actually, just do it what its saying from any point it wont really matter youll still get it right
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.
a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.
b. Does this situation represent exponential growth or decay? Explain how you know.
Answer:
a) y = 400(0.75) ^x
b) Exponential Decay
Step-by-step explanation:
An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.
a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.
This situation above is an exponential decay situation.
The forms is given as
y = a(1 - r) ^x
Where
y = the total amount of ibuprofen
a = initial amount of ibuprofen = 400mg
r = Decay rate = 25%
x = Time in hours
Hence, the Equation is written as
y = 400(1 - 0.25) ^x
y = 400(0.75)^x
b. Does this situation represent exponential growth or decay? Explain how you know
This situation represents an exponential decay because we are told in the question that each hour, the amount of ibuprofen DECREASES by 25%. Decrease in this context means Decay.
3x to the power of 3 + 21x squared + 36x = 0 by factoring the quadratic equation.
Answer:
x = 0, -4 and -3.
Step-by-step explanation:
The given expression is "3x to the power of 3 + 21x squared + 36x = 0".
We can write this expression as follows :
[tex]3x^3+21x^2+36x=0[/tex]
Taking 3x common.
[tex]3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0[/tex]
x = 3
[tex]x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3[/tex]
Hence, the solution of the given quadratic equation are x = 0, -4 and -3.
PLEASE HELP!! WILL GIVE BRAINLIEST PLUS 30 POINTS IF CORRECT!!
solve 2/3 = x/18 SOMEONE PLS HELP
Answer:
x = 12
Step-by-step explanation:
what you have to do is cross multiply::
3x = 36
and then single the x out
x = 12
Ricardo borrows $1850 for 8 months at 12% interest.
What is the amount he will pay back at the end of the
loan period?
How do you know?
Answer:
Ricardo will have to pay $1776 at the end of the loan period.
I know this because if you multiply 12% to 1850 you get 222.
Now you multiply 222 to 8 which gives you an answer of 1776.
Hope this helps. :)
The cookies in a jar contain a total of 1000 chocolate chips. All but one of these cookies contains the same number of chips; it contains one more chip than the others. The number of cookies in the jar is between one dozen and three dozen. What is the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip? (Hint: using factorization) (A) 65 (B) 64 (C) 63 (D) 66 (E) 67
Answer:
65
Step-by-step explanation:
From the given information:
Let consider p to be the total numbers of the cookies
If there are 1000 chocolate chips in the jar;
The number of chocolate chips if we remove one chocolate chips = 1000 -1
= 999
The number of available choco chips on each cookie except for the one having an extra chocolate chip = 999/p
Thus, to achieve a whole number, p is required to be a factor of 999
By factorization of 999, we get:
36 > p > 12; Thus, the value for "p" lies between 36 and 12, and which must be by 999 is 27
Thus, the number of cookies in the jar "p"= 27
However, the number of chocolate chips on with the extra chocolate chip
= 999/p + 1
= 999/27 + 1
= 37 + 1
= 38
Thus, the sum of the number of cookies in the jar + the number of chocolate chips on with the extra chocolate chip
= 27 + 38
= 65
the length of the bos is 2 1/2m, it is 1 9/16 times its width. What is the height of the box if its volume is 12 3/4m^3
Answer:
h=1.3056 m
Step-by-step explanation:
L=2.5m
w=L(1 + 9/16)
w=2.5(1 + 9/16)=[tex]\frac{125}{32}[/tex] m=3 [tex]\frac{29}{32}[/tex]m
v=Lwh
12.75m³=(2.5m)([tex]\frac{125}{32}[/tex]m)h
12.75m³=(9.765625m²)h
[tex]\frac{12.75m^{3} }{9.765625m^{2} }[/tex]=h
h=1.3056 m
Answer:
3 3/16
Step-by-step explanation:
If:
Length= 2 1/2
Width=2 1/2 divided by 1 9/16= 1 3/5
Volume=12 3/4
So then, 2 1/2 times 1 3/5=4
12 3/4 divided by 4= 3 3/16
Done!
-4(2-5b)=132
whats b?
Answer:
b = 7
Step-by-step explanation:
- 4(2 - 5b) = 132
- 4 × 2 - 4 × (- 5b) = 132
-8 + 20b = 132
20b = 132 + 8
20b = 140
b = 140/20
b = 7
Thus, The value of b is 7
-TheUnknownScientist
Pleaseeeee answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
45 miles
Step-by-step explanation:
Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula [tex]a^{2} +b^{2} =c^{2}[/tex]. Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So [tex]c^{2}[/tex] = 2025. Find the square root of 2025. [tex]\sqrt{2025}[/tex] = 45. Hope this helped ^^
How many five card hands can
be dealt from a standard deck of
52 cards?
Answer:
2
Step-by-step explanation:
1. ADEA has vertices D(8,4), E(2, 6), and F(3, 1). What are the vertices of the image after a dilation with a scale factor of 5 using the origin as the center of dilation? TO
Answer:
The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)
Step-by-step explanation:
If the point (x, y) dilated by a scale factor k using the origin as a center of dilation, then its image is (kx, ky)
Let us use this rule to solve our question
∵ The vertices of ΔDEF are D (8, 4), E (2, 6), and F (3, 1)
∵ ΔDEF dilated by a scale factor 5
∴ k = 5
∵ The origin as the center of dilation
→ That means, multiply the coordinates of every point by 5
∴ D' = (8 × 5, 4 × 5)
∴ D' = (40, 20)
∴ E' = (2 × 5, 6 × 5)
∴ E' = (10, 30)
∴ F' = (3 × 5, 1 × 5)
∴ D' = (15, 5)
∴ The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)