Answer:
12x-4
Step-by-step explanation:
8x+4(x-1)
multiply whats inside the parenthesis by 4
8x+4x-4
add like terms
12x-4
Use the functions f(x)=2x and g(x)= x^2+1 to find the value of each expression.
7. f(3)+g(4) 8. g(3)+f(4)
Answer:
First, you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
Step-by-step explanation:
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(
g
f
)(x)=
4−5x
3x+2
You have a handful of dimes and quarters that totals 26 coins and is worth $5.15. How many of each do you have?
Answer:
9 dimes and 17 quarters
Step-by-step explanation:
9+17=26 coins
9 dimes = 90 cents
17 = 425 cents
90+425= 515 cents or $5.15
Hope this helps! :)
What degree does the function have?
F(x)=-2x^3+7x
Even or Odd
Answer:
The answer is Odd.
Step-by-step explanation:
I hope this helps you :)
If r=8 units and h=11 units, what is the volume of the cylinder shown above? Use 3.14 for pi. HELP ME
Answer:
The answer is
2210.56 units³Step-by-step explanation:
Volume of a cylinder is given by
V = πr²hwhere
r is the radius of the cylinder
h is the height
From the question
r = 8 units
h = 11 units
Substitute the values into the above formula and solve
V = 3.14(8)²(11)
= 3.14(64)(11)
= 3.14 × 704
We have the final answer as
V = 2210.56 units³
Hope this helps you
plz help I'm and dead confused
Domain: {-3, -1, 2, 4, 6}
Range: {-2, 1, 2, 4, 6}
===========================================
Explanation:
The domain is the set of possible x values of a relation or function. To form the domain, we just list out the x coordinates of each point
Point A is located at (-3, 4) so the x coordinate x = -3 is part of the domain
Point B is at (-1,1) meaning x = -1 is also part of the domain
And so on. Doing this for all five points leads to the list of x coordinates {-3,-1,2,4,6} which is the domain.
--------------------
The range is a similar story, but we look at the y coordinates now. Point A has y coordinate 4, so y = 4 is part of the range.
Point B has y coordinate y = 1, so that is also part of the range.
The range is {-2, 1, 2, 4, 6} representing all of the possible y values of this relation.
With any set, the order does not matter. Though convention is to list the items from smallest to largest.
Asked to simplify
Can’t be a fraction
Please help
Answer:
27[tex]a^{9}[/tex][tex]b^3\\[/tex]
Step-by-step explanation:
This is what happens
[tex](3)^{3} or (3^1)^{3}[/tex]= [tex]3^{1x3}[/tex] = [tex]3^{3}[/tex] = 27
[tex](a^{3})^{3}[/tex]= [tex]ax^{3x3}[/tex] [tex]a^{9}[/tex]
[tex](b)^{3}[/tex]= [tex]b^{1x3}[/tex] =[tex]b^{3}[/tex]
4. Error Analysis Jacinta says that the product of a rational number and an irrational number is always irrational. Explain her error.
Answer:
She did not consider the multiplicative inverse property of a real number
Step-by-step explanation:
Jacinta in her conclusion did not consider the Multiplicative Inverse property of real numbers.
Let x be an irrational number.
So, [tex]$ x.\frac{1}{x}= 1$[/tex]
If x is an irrational number, then its reverse is also an irrational number. So by the Multiplicative Inverse property their product is 1 and 1 is a rational number. Thus, Jacinta was incorrect.
CA-Common Core Math 8 (INT) - 1536
Analyzing a Table
Aaliyah's Savings Plan
25+8.25w
w
t
(w, t)
Equation; t = 25 + 8.25w, where w is the number of
weeks and t is the total Aaliyah saved,
What is the error that occurred when Aaliyah
completed her table?
O The table must start at week 1.
12
25+8.25(12)
124
(12, 124)
13
25+8.25(13)
132.25
(132.25, 13)
O The w and t columns need to be switched.
O The ordered pair (132.25, 13) should be (13,
132.25)
O 25 + 8.25(15) = 148.75 in week 15 is not calculated
correctly.
14
25+8.25(14)
140.5
(14, 140.5)
15
25+8.25(15)
148.75 (15, 148.75)
3) Intro
Done
evious Activity
Answer:
Its c
Step-by-step explanation:
i just did it on edge
C is correct.
Equation: t = 25 + 8.25w, where w is the number of weeks and t is the total Aaliyah saved.
What is the error that occurred when Aaliyah completed her table? The ordered pair (132.25, 13) should be (13, 132.25).
On a school playground, a math teacher draws a number line with values from 10 to 10. The distance between each
consecutive number is 1 meter. Rebecca is standing at +4, and her friend Cedric is standing at -8.
What is the straight-line distance between the two friends, in meters?
Answer:
12
Step-by-step explanation:-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
count the spaces between the two numbers
The number line is the representation of numbers in real order.
The number line can be assumed as:
-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10
(Cedric) (Rebecca)
The straight-line distance between the two friends, in meters, is 11 meters.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
On a school playground, a math teacher draws a number line with values from 10 to 10.
The distance between each consecutive number is 1 meter.
We can assume the number line to be as,
-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10
(Cedric) (Rebecca)
The distance between Cedric and Rebecca.
= 4 - (-7)
= 4 + 7
= 11
Thus,
The straight-line distance between the two friends, in meters, is 11 meters.
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cann u heeeeellllpppp mmmmmeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
a) 10/3
b) 30miles covered in 1/2 an hour
75 miles covered in 1 1/4 hours
therefore they get there at 4:15pm
c) an airplane covers 50 miles in 1/5 hours. how many miles can the airplane cover in 5 hours?
SOLUTION=5 divided by 1/5=25
50*25=1250 miles
Xavier currently pays $11.50 per movie he downloads with his current movie package. a new movie package charges $10 per movie downloaded with a $15 joining fee. How many movies would he need to download for him to want to switch?
Answer:
4
Step-by-step explanation:
after paying for 4 movies he's spent more than how much he would pay at the other one for downloading 4 movies
What is a common factor of 12x 2 − 5x − 3 and 6x 2 − x − 1 ?
Answer:
The common factor is (3x+1).
Use the pattern to extend the table. Then answer the question below. Include two decimals for each answer even if they are 0 Cars Washed Money Earned (Hint: this is how much you would earn for 1 car) How much is earned per car? $ How much will be earned for 20 cars?
We know that 3 cars yielded $13.50
$13.50 / 3 = $4.50 / 1 car
$4.50 * 12 cars = $54.00
$4.50 * 15 cars = $67.50
$4.50 * 20 = $90.00
Find the endpoint of segment CD if D(-3, 1/2) and the midpoint is (-1/2, 3).
Answer:
Step-by-step explanation:
(x - 3)/2 = -1/2
x - 3 = -1
x = 2
(y + 1/2)/2= 3
y + 0.5 = 6
y = 5.5
(2, 5.5) the other endpoint
Question 1 of 21
What is the greatest common factor of the polynomial below?
20x3 - 14x
O A. 2x2
O B. 2x
O C. 6x²
O D. 6x
The common factor for the given polynomial is 2x.
What is factor?A factor is a number that divides another number, leaving no remainder.
Given is a polynomial, 20x³-14x
20x³-14x
= 2x(10x²-7)
Hence, the common factor for the given polynomial is 2x.
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Ben wants to try a new honey-glazed salmon recipe. He starts with 1 2/3 cups of honey. He uses 1/5 of it to make the glaze. How much honey does Ben have left?
Answer:
1 1/3
Step-by-step explanation:
Firstly, 1 2/3 is converted into an improper fraction being 5/3. Next, 1/5 of 5/3 is one portion of 5 equal portions. You can split 5/3 into five equal portions of 1/3. Therefore, 1/3 cup of honey was used to make the honey glaze. Lastly, that is subtracted from the 1 2/3 to end up with 1 1/3.
The required amount of honey left is given as 1 1/3.
Given that,
Ben wants to try a new honey-glazed salmon recipe. He starts with 1 2/3 cups of honey. He uses 1/5 of it to make the glaze.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Amount of honey = 1 2/3 = 5 / 3
Amount of honey used is 1/5 times = 1/5 [5 / 3] = 1 / 3
Amount of honey left = 5/3 - 1/3 = 4/3 or 1 1/3
Thus, the required amount of honey left is given as 1 1/3.
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Two landscaping companies made bids on the landscaping of a new apartment complex. Company A bid $595,000 for materials and plants and $204,000 for labor. Company B bid $660,000 for materials and plants and $136,000 for labor. How much lower was the bid made by Company B?
Answer:
$3,000
Step-by-step explanation:
Company A bid $595,000 for materials and plants and $204,000 for labor.
Total = $595,000 + $204,000 = $799,000Company B bid $660,000 for materials and plants and $136,000 for labor.
Total = $660,000 + $136,000 = $796,000The difference:
$799,000 - $796,000 = $3,0002 expressions equivalent to (x-6) • (x-3)
Answer:
x^2 + -9 x + 18 = (x - 9) x + 18 = (x - 6) (x - 3) all three are alternanate forms.
Step-by-step explanation:
Expand the following:
(x - 6) (x - 3)
Hint: | Multiply x - 6 and x - 3 together using FOIL.
(x - 6) (x - 3) = (x) (x) + (x) (-3) + (-6) (x) + (-6) (-3):
x x - 3 x - 6 x - 6 (-3)
Hint: | Combine products of like terms.
x x = x^2:
x^2 - 3 x - 6 x - 6 (-3)
Hint: | Multiply -6 and -3 together.
-6 (-3) = 18:
x^2 - 3 x - 6 x + 18
Hint: | Group like terms in x^2 - 3 x - 6 x + 18.
Grouping like terms, x^2 - 3 x - 6 x + 18 = x^2 + (-3 x - 6 x) + 18:
x^2 + (-3 x - 6 x) + 18
Hint: | Combine like terms in -3 x - 6 x.
-3 x - 6 x = -9 x:
Answer: x^2 + -9 x + 18 = (x - 9) x + 18 =(x - 6) (x - 3)
what is 7x-4x=27,solve for x?
Answer:
x=9
Step-by-step explanation:
atrain travel 120km in 3hour how long would it take to cover distance of 480km?
Answer:
It would take 12 hours to get to 480 km.
Step-by-step explanation:
if 120km is 3 hours meaning 40km per hour
that would mean that 40 x 12 = 480
1 hour = 40km
2 hours = 80km
3 hours = 120 km
i beg someone to answer ive posted this 3 times and im still not sure how to do it.....
Which of the following is the best estimate for the number of seconds which have elapsed since the start of the year 2000?
(note: date was June 2001)
A) 3 X 10⁴
B) 3 x 10⁵
C) 3 x 10⁶
D) 3 X 10⁷
E) 3 X 10⁸
(with working out please)
Answer:
D) 3 X 10⁷
Step-by-step explanation:
Estimated days:
Jan 2000 to June 2001 = 1.5 years = 365*1.5 days ≈ 548 days1 day = 24 hours = 24*60 minutes = 24*60*60 seconds = 86400 seconds548 days = 548 * 86400 seconds = 47347200 ≈ 4.7*10⁷Best estimate is D) 3 X 10⁷
Divide. 5892 ÷ 18 in fraction form.
Answer: 327 1/3
Hope this helps! :)
Answer:
5892 ÷ 18
327 1by 3in mixed fraction
How can parallel lines be used to compare figure E and F? Explain your reasoning.
What is the common ratio (r) of the geometric sequence 1, 5, 25, 125?
Answer:
The common ratio is 5
Step-by-step explanation:
We know this because the first term times 5 equals the second term and the second term times five equals the third term and so forth.
whats the answer to this question -9x+1= -8
Simplify : 15y - 10 + y(2 + 9) -8
Answer:
Simplified expression is 26y - 18
Step-by-step explanation:
15y - 10 + y(2 + 9) - 8
15y - 10 + 2y + 9y - 8
26y - 18
Shambrekia put down $800 on a used car. She took out a loan to pay off the balance of the cost of the car. Each month she will pay $175. After 9 months how much will she have paid for the car?
Answer:
$1,575
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints. (1, 1) and (7,7)
Tell me the slope-intercept form?
slope intercept form in y=mx+b
Step-by-step explanation:
floor gang aooh sub to pewdiepie
Solve for z. z³ = 64 Enter your answer in the box. z =
Answer:
z³ = 64
z³=4³
since power is equal, base will be same
z=4
Step-by-step explanation:
The value of z in the expression is,
⇒ z = 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Expression is,
⇒ z³ = 64
Now, We can simplify the expression as;
⇒ z³ = 64
Take cube root both side,
⇒ z = ∛64
⇒ z = ∛4³
⇒ z = 4
Thus, The value of z in the expression is,
⇒ z = 4
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