f(x)=3x^2 and g(x)=x+2 find (f.g)(x)

Answers

Answer 1

Answer:

3[tex]x^{3}[/tex] + 6[tex]x^{2}[/tex]

Step-by-step explanation:

(f · g )(x) = 3[tex]x^{2}[/tex] · (x + 2) = 3[tex]x^{3}[/tex] + 6[tex]x^{2}[/tex]  (Multiply the two terms by distributing)


Related Questions

can someone help me out

Answers

5.6 cm sry if i got it wrong

Help please Algebra 1
Simplify 4y-6yx+y

Answers

I hope you will like my answer

whats the perimeter and area of this shape?

Answers

Answer:

60+14.35=88.27

Step-by-step explanation:

5x12 for the rectangle on the right, then for the circle, using the formula A=πr², I get 28.27, which you divide by 2 because you only need half of the circle, and you get 88.27. I calculated the radius by subtracting 12-6 and then dividing that in half because the radius is half of the distance to the other end of the circle. Then you get the radius of 3, then plug it into the formula to get π(3)², which is just 3.14(9), and you get 28.27.

Answer:

P = 37.42478 A = 88.27

I really need this answered!

Answers

Answer:

Its AA similaroty theorem

. Error Analysis Describe and correct the error
a student made when ordering numbers from
least to greatest.



HELP ASAP

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{144} = 12[/tex]

the error was in not take the root of the number correctly

the student assumes that the root of 144 was equal to 72

X+3y=2 and y=2x+3
Please explain using substitution method.

Answers

- X + 3Y = 2  (*)

⇔X = 2 - 3Y  (1)

- Y = 2X + 3   (2)

(1),(2)⇒ Y = 2(2 - 3Y) +3

       ⇔ Y = 4 - 6Y + 3

       ⇔ Y = 1  (**)

(*),(**)⇒ X + 3×1 =2

       ⇔ X = -1

Given an arithmetic progression 17,13,9,..... find the number of terms required so that its sum is - 33 .

Answers

Answer:

11 terms.

Step-by-step explanation:

We are given the arithmetic sequence:

17, 13, 9, ...

And we want to find the number of terms required such that the sum is -33.

Recall that the sum of an arithmetic series is given by:

[tex]\displaystyle S = \frac{k}{2}\left( a + x_k\right)[/tex]

Where k is the number of terms, a is the first term, and x_k is the last term.

The desired sum is -33. The first term is 17 as well. Thus:

[tex]\displaystyle (-33) = \frac{k}{2} \left( (17) +x_k\right)[/tex]

Simplify:

[tex]-66 = k(17 + x_k)[/tex]

We can write a direct formula to find the last term x_k. The direct formula of an arithmetic sequence has the form:

[tex]x_ n = a + d(n-1)[/tex]

Where a is the initial term and d is the common difference.

The initial term is 17 and the common difference is -4. Hence:

[tex]\displaystyle x_n = 17 - 4(n-1)[/tex]

Then the last term is given by:

[tex]x_k = 17 - 4(k-1)[/tex]

Substitute:

[tex]\displaystyle -66 = k\left( 17 + \left( 17 - 4(k-1)\right)\right)[/tex]

Solve for k:

[tex]\displaystyle \begin{aligned} -66 &= k(17 + (17 - 4k + 4)) \\ -66 &= k(38 -4k) \\ -66 &= -4k^2 + 38k \\ 4k^2 -38k -66 &= 0 \\ 2k^2 - 19k -33 &= 0 \\ (k-11)(2k+3) &= 0 \\ k-11&= 0 \text{ or } 2k+3 = 0 \\ \\ k &= 11 \text{ or } k = -\frac{3}{2}\end{aligned}[/tex]

Since we cannot have a negative amount of terms, we can ignore the second solution.

Therefore, the given sequence must have 11 terms such that it sums to -33.

Answer:

Here is 2 methods

Step-by-step explanation:

1) we use excel to find n=11 for lasy students

2) mathematical method

[tex]u_1=17\\u_2=13=17+(2-1)*(-4)\\u_3=9=17+(3-1)*(-4)\\\\\\\boxed{u_n=17+(n-1)*(-4)}\\\\\\\displaystyle s_n=\sum_{i=1}^nu_i\\=\sum_{i=1}^n(17+(i-1)*(-4))\\\\\\=(\sum_{i=1}^n 17) + (-4)*\sum_{i=1}^n (i) +4*\sum_{i=1}^n (1)\\\\\\=17*n+4*n-4*\frac{n*(n+1)}{2} \\\\\\=21n-2n^2-2n\\\\\\=-2n^2+19n\\\\=-33\\\\\\\Longrightarrow\ 2n^2-19n-33=0[/tex]

[tex]\Delta=19^2+4*2*33=625=25^2\\\\n=\dfrac{19-25}{4} =-1.5\ (excluded)\ or\ n=\dfrac{19+25}{4}=11\\\\[/tex]

Which angles are supplementary to each other?

Angle 4 and Angle 2
Angle 5 and Angle 2
Angle 4 and Angle 3
Angle 2 and Angle 7​

Answers

Answer:

The answer is Angle 4 and Angle 3.

Answer:

It's answer is angle 4 and angle 3

If n(a)=40,n(b)=60 and n(a∪b)=80.find the value of (a∩b.

Answers

Answer:

20

Step-by-step explanation:

we know,

n(aUb)=n(a)+n(b)-n(a∩b)

so,

80=40+60-n(a∩b)

or, 80-(40+60)=-n(a∩b)

or, -n(a∩b)=80-100

or, -n(a∩b)=-20

or, n(a∩b)=20

2. Find 3 rational number between:
1) -5 and -6 2) ( -1/7) and (1/8)
i need steps
explanation also pls guys

Answers

Step-by-step explanation:

between -5 and -62

-7,-10,-60...so..on

between -1/7 and 1/8

Multiply any number by number with both the numbers but it should be multiplied by both the numbers:

for example:

-1/7×3/3= -3/21 ; 1/8×3/3= 3/24

So,

-2/21,2/24,1/24

hope it helps

how many degrees does a unit angle measure a 10° B 90° c 180 degrees d 100 degrees​

Answers

Ksbujbtskbzbiz kshg

Sjhhzjz

1.Evaluate

a.(243/32)^-0.4​

Answers

Answer:

4/9

Step-by-step explanation:

negative exponent means 1/...

so, this is

(32/243)^(4/10) = (32/243)^(2/5)

that means to the power of 2 and then pulling the 5th root.

so, let's pull the 5th root first, and then we square

(32/243)^(2/5) = (2⁵/3⁵)^(2/5) = (2/3)^2 = 4/9

Product of the zeroes of polynomial 3x²-2x-4 is ? No spam ❌ Want accurate answers ✔ No spa.

full explain​

Answers

9514 1404 393

Answer:

  -4/3

Step-by-step explanation:

Quadratic ax² +bx +c can be written in factored form as ...

  a(x -p)(x -q)

for zeros p and q. The expanded form of this is ...

  ax² -a(p+q)x +apq

Then the ratio of the constant term to the leading coefficient is ...

  c/a = (apq)/a = pq . . . . the product of the zeros

For your quadratic, the ratio c/a is -4/3, the product of the zeros.

_____

Additional comment

You will notice that the sum of zeros is ...

  -b/a = -(-a(p+q))/a = p+q

Answer:

[tex] \green{ \boxed{ \bf \: product \: of \: the \: zeros \: = - \frac{4}{3} }}[/tex]

Step-by-step explanation:

We know that,

[tex] \sf \: if \: \alpha \: and \: \beta \: \: are \: the \: zeroes \: of \: the \: \\ \sf \: polynomial \: \: \: \pink{a {x}^{2} + bx + c }\: \: \: \: then \\ \\ \small{ \sf \: product \: of \: zeroes \: \: \: \alpha \beta = \frac{constant \: term}{coefficient \: of \: {x}^{2} } } \\ \\ \sf \implies \: \pink{ \boxed{\alpha \beta = \frac{c}{a} }}[/tex]

Given that, the polynomial is :

[tex] \bf \: 3 {x}^{2} - 2x - 4[/tex]

so,

constant term c = - 4coefficient of x^2 = 3

[tex] \sf \: so \: product \: of \: zeroes \: \: = \frac{ - 4}{3} = - \frac{4}{3} [/tex]

I am a bit confused on a derivative is in Calculus. From what I understand, I derivative is the limit of a tangent line on a curve. I was wondering if someone can explain in simple terms what a derivative is and what is the point of calculating it. Thanks!

Answers

Answer:

Step-by-step explanation:

To answer your question fully can literally take up an entire  book.

The importance becomes obvious if you consider the derivative (and the inverse  of it the integral) as the foundation of calculus. I guess that askes the question what is calculus? For this answer a very very simplistic answer would be that it is the branch of mathematics that studies "non-constant" change (things that curve)

...... Let's see if  this makes sense? You are driving your car at a constant  50 mph . after one hour you are 50 miles from home and after two you are 100.

y=50x. you can calculate this value in a several of ways just take two time stamps and two distance stamps ... subtract the two times and two

ok now here is the REAL PROBLEM issue we want to know our CHANGE IN

VELOCITY (that is  ACCELERATION) ... if you take ANY two points you will

see that the SPEED is ALWAYS the same so the numerator is always 0 (zero) and thus the denominator (the difference in the time stamps) does not matter

now lets say that we are accelerating ..we are going y = 10 [tex]x^{2}[/tex] mph

at 3 seconds we are going 90 mph (10* 3^2) .. but we really don't care about that   we want the "acceleration" at EXACTLY that point...

to do that we "have to estimate" delta Y over delta X

lets take 3 and 0  .... (9-0)/3 estimate of acceleration is 3...

but WAIT we can do better (get closer) take 3 and 1 ... (9 - 1)/2

acceleration is 4... once again lets get closer to the exact 3 ...

3 and 2  ... (9 -4)/2 the acceleration is 5...

hold on !  lets get even closer use 3 and 3 and we get it exactly !

(9-9)/0 that is the answer hurray!  HOLD ON !  you CAN NOT DIVIDE BY ZERO ... no can do... we have to wait for newton and Leibniz to  

figure out lim as x-> 0 f(x)-f(x+ delta x) / x to get around the DIVIDE BY ZERO problem...

that is the derivative

the length of a rectangular box is 8cm. If its diagonal is 10cm. Find its width​

Answers

Answer:

Step-by-step explanation:

The diagonal of this rectangular box serves as the hypotenuse of the 2 right triangles that exist within this rectangle. The length is one leg, the hypotenuse is...well, the hypotenuse, so we need to use Pythagorean's Theorem to find the missing leg.

[tex]10^2=8^2+x^2[/tex] and

[tex]100-64=x^2[/tex] and

[tex]x^2=36[/tex] so

x = 6. The width is 6.

The expression 13.25×5+6.5 gives the total cost in dollars of renting a bicycle and helmet for 5 days. The fee for the helmet does not depend upon the number of days.

Answers

Answer:

13.25×5+13, cost per day with a helmet.

Step-by-step explanation:

Numerical Expressions • Practice

Answer:

13.25×5+13, Per day without a helmet

Step-by-step explanation:

Triangle Q R S is shown. Line R Q extends through point P. Angle Q S R is 35 degrees. Angle S R Q is 58 degrees. Exterior angle S Q P is x degrees. What is the value of x?

Answers

The triangle is missing and so i have attached it.

Answer:

x = 93°

Step-by-step explanation:

From the triangle attached, we can say that;

<SQP + <SQR = 180°

This is because sum of angles on a straight line equals 180°.

Secondly, we know that sum of angles in a triangle also equals 180°.

Thus;

<SQR + <QSR + <SRQ = 180

From the attached triangle, we see that;

<QSR = 35°

<SRQ = 58°

Thus;

<SQR + 35° + 58° = 180°

<SQR + 93° = 180°

<SQR = 180° - 93°

<SQR = 87°

From earlier on, we saw that;

<SQP + <SQR = 180°

Plugging in <SQR = 87°, we have;

<SQP + 87° = 180°

<SQP = 180° - 87°

<SQP = 93°

We are told in the question that <SQP is denoted by x.

Thus;

x = 93°

Answer:

The value of x is answer D: 93

A person walks on average 4000 steps per day. If one step is about 2 feet long, how much would the average person walk per week? HELP

Answers

Answer:

56000 ft

Step-by-step explanation:

4000 steps a day.

7 days in a week.

2 ft per step

so, we calculate how many steps in a week

4000 × 7 = 28000

and then we calculate the distance by saying each of these steps is 2 ft

so,

28000 × 2 = 56000 ft

as a little extra thought :

there are 5280 ft in a mile.

so, the person walks

56000 / 5280 miles = 10.61 miles

in a week.

Adding the fractions

3/14+2/21+1/6

Answers

Answer:

[tex]\frac{10}{21}[/tex]

Step-by-step explanation:

The LCM of 14, 21 and 6 is 42

We require to change the fractions to fractions with a denominator of 42

[tex]\frac{3(3)}{14(3)}[/tex] + [tex]\frac{2(2)}{21(2)}[/tex] + [tex]\frac{1(7)}{6(7)}[/tex]

= [tex]\frac{9}{42}[/tex] + [tex]\frac{4}{42}[/tex] + [tex]\frac{7}{42}[/tex] ← add the numerators, leaving the denominator

= [tex]\frac{9+4+7}{42}[/tex]

= [tex]\frac{20}{42}[/tex] ← divide both values by 2

= [tex]\frac{10}{21}[/tex] ← in simplest form

help please tries 2 times

Answers

Answer:

(2,1)

Step-by-step explanation:

2x - 2y = 2

5x + 2y = 12

again just add them in this case

7x = 14

x = 2

4 - 2y = 2

-2y = -2

y = 1

Anyone could please answer this??​

Answers

Answer:

Ans no. 1 = 14/15

Ans no. 2= 1/192

What is the slope, in its most simplified form, of the line that contains (1, 3) and (5, 9)

Answers

Answer:

The slope is 3/2

Step-by-step explanation:

Use the Slope-Formula to identify the slope

Slope = change in y/change in x

Slope = (y2 - y1)/(x2 - x1)

Points: (1, 3) and (5, 9)

Slope = (9 - 3)/(5 - 1)

Slope = 6/4

Slope = 3/2

Find H.C.F
a2-25 and a2-12a+35​

Answers

Step-by-step explanation:

Explanation is in the attachment

Hope my answer is helpful to you ✌️❣️☪️❇️❇️☪️❣️✌️

PLS HELP ME!!!
A sample is generated from a population of 20 items. Each of the 20 items are given a label, and a 20-sided die is rolled 3 times to determine which 3 items are in the sample. This is an example of a __________.

A. systematic sample

B. random sample

C. convenience sample

D. self-selecting sample

Answers

Answer:

Option B, random sample

That should be the answer

Help me come up with a YT name plz. I’m looking for something that POPS, but I keep coming up with the same names/words.

Answers

ACEMaster52 u like that I made it up

Emily puts away basketballs after the gym class. there are 15 basketballs, and each rack holds 4 basketballs. how many racks does Emily completely fill? How many basketballs are left?

Answers

Emily would completely fill 3 racks of baskets balls and she would have 3 basketballs left over.

4(number of basketballs each rack can hold) multiplied by 3 is equal to 12. Meaning 12 of the 15 basketballs will be able to go on a rack, and there would be 3 left over.(subtract 15-12 and you will get 3)

Answer:

emily fills 3 racks

3 basketballs are Left!

Step-by-step explanation:

15/4 = 3.3

Tell whether the line for x = -5 is horizontal, vertical, or neither.

Answers

Answer:

vertical

Step-by-step explanation:

The line x = -5 includes all points where the value of x is -5, regardless of the value of y. This can be graphed as a vertical line going through (-5, 0), as the line represents the only place where x is the value -5.

The polygons in each pair are similar. Find the missing side length.

Answers

Answer:

12

Step-by-step explanation:

We can say that two polygons are similar to each other if both of the polygons have the same shape and their corresponding sides are in the same proportion, hence the ratio of their corresponding sides are equal to each other.

As we can see from the problem since both of the polygons are similar, hence the ratio of their corresponding sides are in the same proportion, therefore let x represent the missing length, hence:

[tex]\frac{x}{15} =\frac{32}{40} =\frac{32}{40} \\\\\frac{x}{15} =\frac{32}{40} \\\\x=\frac{32*15}{40} \\\\x=12[/tex]

Given: The equation of a parabola is x2 = 8y.

Step 3: Where does the directrix for the given parabola lie? Enter the equation for the directrix line. Use your keyboard and the keypad to enter your answer. Then click Done.

Answers

Answer:

x=-2

Step-by-step explanation:

Answer:

Since a = 2, the equation for the directrix line will be y = −2.

Step-by-step explanation:

How do you calculate percentage or find the per cent value

Answers

Answer:

Divide the number you want to find the percentage for by the total amount of items in that group. Then, multiply that value by 100.

Step-by-step explanation:

Ex. There are 3 boys in a group of 4. What percentage of the group are boys?

[tex]\frac{3}{4} =0.75[/tex]

[tex]0.75*100=75[/tex]

75% of the group are boys

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