Given f(x) = x ^ 2 + 2x and g(x) = x - 1 , find (fg)(x)
A) x^3 + 2x^2
B) x^3 + x^2 + 2x
C) x^3 - x^2 - 2x
D) x^3 + x^2 - 2x
Heya !! here's your solution :
[tex] \hookrightarrow \: ( {x}^{2} + 2x) \times (x - 1)[/tex]
[tex] \hookrightarrow \: \: {x}^{3} - {x}^{2} + 2 {x}^{2} - 2x[/tex]
[tex] \hookrightarrow \: {x}^{3} + {x}^{2} - 2x[/tex]
therefore , the correct Option is D
Your college professor tells you he will give a 30%-30%-40% split on grades between homework, quizzes, and test. However whichever category you have the highest average in will be the 40% category.
What will your final grade be if your homework average is 60, you quiz average is 70, and your test average is 95?
Answer:
Your final grade will be 77%
Step-by-step explanation:
40% will be from your test average which is 95
30% will be from your homework average which is 60
30% will be from your quiz average which is 70
Calculating based on these weights:
(40×95+30×60+30×70) / (40+30+30) = 7700 / 100 = 77.00%
hillary is cycling across montana taking a 845 mile course . the first week she covered.320 miles. the second week she traveled another 350 miles. how many more miles does she have to travel to complete course?
Answer:
175 miles
Step-by-step explanation:
Hillary has travelled
320 + 350 = 670 miles
in the first two weeks.
Therefore, Hillary starts with 670 miles and needs to add a certain number of miles "x" to get 845 in total.
670 + x = 845
And if we subtract 670 from both sides:
x = 845 - 670 = 175
175 miles
Ankit's father is five years older than three times of Ankit's age. 50 years old, then calculate the present age of Ankit
Step-by-step explanation:
Let,
Ankit's age = x
So, ankit's father's age = 3x + 5
Given,
Age of Ankit's father's age = 50
Therefore,
By the problem,
=> 3x + 5 = 50
=> 3x = 50 - 5
=> 3x = 45
[tex] = > x = \frac{45}{3} [/tex]
=> x = 15
Hence,
Present age of Ankit is 15 years (Ans)
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Step-by-step explanation:
This is the required answer.
Keep smiling and hope u r satisfied with my answer.Have a nice day :)
Find the perimeter and area of figures 1-20
Answer:
figure 1
3 + 3 + 3 + 1 + 1 + 1= 12 units
area is 3x1 + 1x1 + 3x1 = 7 sq units
figure 2
perimeter do the same as figure 1 and youll get
32 units i assume
area do the same as figure
then bueno
PLEASE HELP MARK BRAINLIESTS!!!!
Answer:
x=15 y=3
Both (4x+10y) and (6x) equal 90 degrees, as angle 4x+10y is vertical to a 90 degree right angle, and angle 6x is directly beneath the right angle, making it equivalent. To find x, you simply do 90/6, which is 15, meaning x=15. Now plug in that into 4x+10y=90, which will make it 60+10y=90. Subtract 60 from 90, and divide the difference, 30, by 10, giving you 3, thus showing that y=3. You can double check by plugging in the x and y values.
in a School the monthly fee of a child is ₹ 497 . If there are 2983 students in a school ,find the total fee collected in a month.
Answer:
1482551 is correct answer
Evaluate-2xy, if x=-4 and y=1.
32
0-16
0-32
16
Answer:
8
Step-by-step explanation:
This question asks for us to substitute values of variables into the following equation: -2xy
We know two pieces of information:
x = -4y = 1All we have to do is substitute the values for variables.
-2xy
-2(-4)(1)
= 8(1)
=8
Jennifer has 21 pencils she gives 21 pencils to her teacher write an equation that represents this situation
Scils Practice convert the following factions into decimals. You must show your work.
How can I turn the fraction 3/12 into a decimal?
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
3 + 5y = –20
Answer:
Submit Answer
PLS HELP ASAP
Answer: y = -23/5
Step-by-step explanation:
Decimal Form : -4.6
Mixed Number : -4 3/5
I don't want the answer I just want to know how to do it
Answer:
1st- thorn forest - forest which have many thorns it is in rajasthan
2nd- evergreen forest - a forest whose trees are rest green in any season
3rd- Amazon forest - in Amazon forests there are many poisonous snake, frogs etc. like anacondas and wild animals.
Step-by-step explanation:
Angle sum theorem. y=?
Are the following proportional? Explain or show
your reasoning
3/5 and 18/25
Answer:
No, they are not proportional. 3/5 with equal out to 15/25 by using the method of Least Common Denominator!
Step-by-step explanation:
Hope this helps :)
A piece of string is 28 cm long. It is used to from a square. (a) what is the length of each side of square? (b) what is the area of the square.?
Answer:
7 cm and 49 cm²
Step-by-step explanation:
(a)
A square has 4 equal sides , then
28 cm ÷ 4 = 7 cm
The length of each side of the square is 7 cm
(b)
The area (A) of a square is
A = s² ( s is the side length ) , then
A = 7² = 49 cm²
Answer:
Step-by-step explanation:
Perimeter of square will be equal to the length of the string
Perimeter of square = 28 cm
4*side = 28
Divide both sides by 4
Side = 28/4
Side = 7 cm
b) Area of square = side * side
= 7 * 7
=49 cm²
A mountain is 18,574 feet above sea level, and a valley is 400 feet below sea level. What is the difference in elevation between the mountain and the valley?
-2x + 9x5 + 1 - 9x2
What’s the answer to this someone help plz
Answer:
factored = -2(x-14) Simplified= -2x+28
Step-by-step explanation:
I’m on Acellus and I have to combine like terms. I already got 12x but I can’t seem to get the next number. Can anyone help?
Answer:
-9
Step-by-step explanation:
9x - 4 + 3x - 5 = 9x + 3x + (-4) + (-5)
12x + (-9)
A cylinder has a base area of 154 cm² and a height of 20cm. What is its total surface area, in cm?? Use, 22/7
This is answer A.1188
B.1200
C.1220
D.1224
Answer:
Hi there!
We've given with the base area and height. We know the formula for base area
Base area = πr²
154 = 22/7 × r²
154 × 7/22 = r²
49 = r²
√49 = r
7 = r
Now
TSA = 2πr(h + r)
TSA = 2 × 22/7 × 7(7 + 20)
TSA = 44(27)
TSA = 1188 cm²
In the past year Abdul watched 18 movies that he thought were very good. He watched 40 movies over the whole year. Of the movies he watched, what percentage did he rate as very good?
Answer:
45%
Step-by-step explanation:
18/40
You multiply this by 10/10 to get
180/400
And then you divide by 4 to get
45/100
= 0.45
= 45%
Prove that an equilateral triangle must have 60 degrees angles
Step-by-step explanation:
Since all the sides in equilateral triangle are equal ,Angles are also equal
Let it be x
The Angle sum property of triangle is 180
x+x+x=180
3x=180
x= 180/3
=60°
Is the relation a function? Explain
Set-builder notation?
Domain/range?
Answer:
doamin = set builder nation
Answer:
domain= set builder notation
What is the solution to the system of equations below?
4x + 2y = 2
3x – 4y = 18
Answer:
here your answer
hope it help
Tính nhanh : a) 35-7*(5-18) ; b) 217-(-83)+99-(93+99) ; c) [4*(-5)^2-(31-17)]:2
This is my answer......
please help me :/ you will get 20 points and i will mark brainliest this is for math ;-; again
the picture is attached below but please look at the picture
just in case you cant read what my writing says it says this
The greatest integar function shown below is defined to be the greatest _______ less than or equal to x.
Answer:
equal to x
Step-by-step explanation:
write the equation of the line passing through point 2, 5 and parallel to y=-1/2x-2
Answer:
option b
Step-by-step explanation:
explaination is in picture
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x - 2 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Parallel lines have equal slopes , then
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, 5) into the partial equation
5 = - 1 + c ⇒ c = 5 + 1 = 6
y = - [tex]\frac{1}{2}[/tex] x + 6 ← equation of line
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
What is meant by the term formula in mathematics? Give an
example.
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY