Given:
The function are:
[tex]f(x)=2x^3+5x^2-6x-7[/tex]
[tex]g(x)=2x-3[/tex]
To find:
The function (f-g)(x).
Solution:
We have,
[tex]f(x)=2x^3+5x^2-6x-7[/tex]
[tex]g(x)=2x-3[/tex]
We need find (f-g)(x).
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=2x^3+5x^2-6x-7-(2x-3)[/tex]
[tex](f-g)(x)=2x^3+5x^2-6x-7-2x+3[/tex]
On combining like terms, we get
[tex](f-g)(x)=2x^3+5x^2+(-6x-2x)+(-7+3)[/tex]
[tex](f-g)(x)=2x^3+5x^2-8x-4[/tex]
Therefore, the correct option is B.
HELPPPPPPPPPPPPPPPPPPPPPPP PLEASE GUYS I BEG YOU BRAINLIST AND 40 POINTS
ONE IMAGE AND ONE QUESTION
FIND X
84?Step-by-step explanation:
If f(7) = 22, then
f^-1(22) = [?]
Answer:
[tex]f(7)[/tex]
f(7)= 22
64
4+4x U
K
36
27
72
T
96
L
Find the value of x.
The value of {x} is equivalent to 7.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are two triangles ΔJTU and ΔJLK.
The triangles ΔJTU and ΔJLK are similar.
We can write the proportional relation as -
{JU/JK} = {JT/JL}
{- 4 + 4x/64} = {27/72}
{- 4 + 4x/64} = 3/8
- 4 + 4x = 24
4x = 28
x = 7
Therefore, the value of {x} is equivalent to 7.
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The value of x is 7.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔJKL and ΔJUT
If T and U are midpoints on JL and JK, then TU is parallel to LK.
Then ∠T=∠L (Corresponding angles)
∠U=∠K (Corresponding angles)
Hence, ΔJKL is similar to ΔJUT
Now, JT/JL = JU/JK = TU/LK
27/72 = -4+4x/64 = 36/96
9/24 = -4+4x/64 = 12/32
3/8 = -4+4x/64 = 3/8
-4+4x/64 = 3/8
-4+4x=24
4x=28
x=7
Therefore, the value of x is 7.
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A tank containing 1140.8 gallons can be emptied in 92 minutes. How many gallons is that per minute?
Answer:
Divide the volume of the tank (10,000 gallons) by the filling rate of 250 gallons/minute and you will Hours = hr x min x 3785 ml x 55 gal = 208175 = 115.6 hrs.
Step-by-step explanation:
hope it helps
Need Help please,
Which graph is generated by this table of values?
Answer:
y=3x-6
Step-by-step explanation:
use 2 of the points for y=a×x+b
we use (2,0) and (3,3) as an example
we get
0=2a+b & 3=3a+b
so
3-0=3a+b-(2a+b)
3=a
b=-6
this is confusing, i need help
Answer:
Step-by-step explanation:
2. SV ║TU
3. SV ≅TU
7. corresponding sides of congruent Δ are congruent
8. quadrilaterals that have one set of opposite sides ║ and ≅ are parallelograms
Hunter cut his pizza into 10 slices.he ate 4 slices of the pizza.what fraction is equivalent to the amount of pizza he ate
Answer:
4/10=2/5
Step-by-step explanation:
because
evaluate the expression for the given value(s) of the variables s=7 k=4 x=6 8 - k+ x
Answer: 9
Step-by-step explanation:
s = 7
k = 4
x = 6
7 - 4 + 6
3 + 6
9
Choose the graph of the linear equation 24x + 64y = 384!
?
pls answer fast
Answer: A the first one
Find the greatest common factor 27x2y2, 45x2
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Does anyone know the answer? If so how did you get the answer.
Find the measure of angle ABD.
Answer:
ABD=23
Step-by-step explanation:
9x-22=6x-7
3x= 15
x=5 but wait thats only what X is so
9(5)-22
45-22
ABD=23
Need help finding the slope please answer need it done today
Answer:
1. 1/2
2. 2/5
3. -1
4. 1/2
Step-by-step explanation:
slope is equal to rise/run
you take two points and count how far up and sideways
if it is down make it negative
Which ordered pair is the solution of the system
graphed below?
In ΔGHI, h = 10 cm, ∠G=152° and ∠H=7°. Find the area of ΔGHI, to the nearest square centimeter.
Answer:
Step-by-step explanation:
I = 180-152-7 = 21°
Law of Sines:
g = h·sinG/sinH ≅ 38.5 cm
i = h·sinI/sinH = 29.4 cm
Use Heron's Formula to calculate the area from the lengths of the sides.
semi-perimeter s = (g+h+i)/2 ≅ 39.0 cm
area = [tex]\sqrt{s(s-g)(s-h)(s-i)}[/tex]≅ 69 cm²
⁵
(3 A Number pattern has 75 as the first
The rule of the number pattern
Subtract 6 to get the next number
What will be the fifth number in the
sequence
9514 1404 393
Answer:
51
Step-by-step explanation:
The rule gives the sequence ...
75, 69, 63, 57, 51, 45, ...
The 5th number in the sequence is 51.
__
Alternate solution
The equation for the general term of an arithmetic sequence is ...
an = a1 +d(n -1) . . . . . for first term a1 and common difference d
Your sequence has first term 75 and common difference -6, so the equation is ...
an = 75 -6(n -1)
Then for n=5, the term is ...
a5 = 75 -6(5 -4) = 75 -24 = 51
The 5th term is 51.
5t + 17 = 4( t +3 )
1/2x + 1/3x =10
1/4x + 2/5x = 39
please can someone help me with these problems i will give brainliest for the person who gives me the answers and work to go with it
Answer:
1. T = -5 2. X = 12 3. X = 60
Step-by-step explanation:
5t + 17 = 4(t + 3)
1. Distribute 4
5t + 17 = 4t + 12
2. Isolate the variable
t + 17 = 12
t = -5
1/2x + 1/3x = 10
1. Remove fractions by multiplying the equation by 6
3x + 2x = 60
2. Combine like terms
5x = 60
3. Divide by coefficient
x = 12
1/4x + 2/5x = 39
1. Remove fractions by multiplying by 20
5x + 8x = 780
2. Combine like terms
13x = 780
3. Divide by coefficient
x = 60
A. Dan should hope his flight uses configuration B.
B. Dan should hope his flight uses configuration A.
C. Dan is equally likely to get an aisle seat with whichever configuration his flight uses
D. There is not enough information to determine which configuration Dan should hope his flight uses
Answer:
The answer is A.
Cooper measured the lengths of 10 buttons to the nearest centimeter.The lengths of the buttons were 4,6,4,3,5,6,5,4,3, and 6 centimeters
Solve the proportion. 2x/5 = 9/15
x = 3/2
Getting x on one side of the equation:
(2/5)x = 9/15
x = (9/15)(5/2)
x = 9/6
x = 3/2
BRAINLIEST WILL BE GIVEN!! The budget for a school dance is $370.00. Decorations and refreshments cost $165.00. The band charges a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?
Answer:
3 hours
Step-by-step explanation:
Answer:
3 hours
Step-by-step explanation:
370-165=205
205-100=105
105/35=3
Help plz:)))I’ll mark u Brainliest
Answer:
x=20
Step-by-step explanation:
hope this helps
Answer:
X=20
Step-by-step explanation:
enjoy! (Hope u got it right)
can u pls help me with this question
PLEASE HELP ASAP!!!!! i will give brainliest
Answer:
Step-by-step explanation:
you are pretty much just factoring throughout.you can also plug in numbersor use the quadratic equationI'll be using the quadratic equation
you are given that 4a - 2b =10 and a + c = 3. write an expression in a, b and c that is equal to 23. give your answer in its simplest form.
Which of the following statements is true?
A.
A rhombus has no sides the same length.
B.
A square has two right angles.
C.
A trapezoid has two pairs of parallel sides.
D.
A rectangle has four right angles.
Please help me with this. I give brainliest and give ratings. Don't answer just to take my points or your getting reported
Answer:
1/7 +5/9={1×9+5×7)/(9×7)=44/63is your answer
In 2007, a city has a population of 270.000 people. Each year since, the population has grown by 1.7%.
Lett be the number of years since 2007. Let y be the city's population.
Write an exponential function showing the relationship between y and t.
HELP ASAPPP PLSSS WILL GIVE BRAINLIEST!
Answer:
Example 1 35 example 2 is 320 and example 3 is 56 example 4 is 160
Step-by-step explanation:
Answer:
again sorry I do not know but I think it d because it not the same as the rest.
Determine if the two figures are congruent by using transformations