Mathematics College

pls answe asap and show work!
11. What is (f.g)(x)?
f(x) = x3 + 3
g(x) = 2x2 + x - 1
-
=

Answers

Answer 1

(fg)(x)f(x).g(x)(x³+3)(2x²+x-1)x³(2x²+x-1)+3(2x²+x-1)2x⁵+x⁴-x³+6x²+3x-3

Answer 2

Answer:

[tex](f \cdot g)(x)=2x^5+x^4-x^3+6x^2+3x-3[/tex]

Step-by-step explanation:

Given functions:

[tex]f(x)=x^3+3[/tex]

[tex]g(x)=2x^2+x-1[/tex]

Therefore:

[tex]\begin{aligned}(f \cdot g)(x) & =f(x) \cdot g(x)\\& = (x^3+3)(2x^2+x-1)\\& = x^3(2x^2)+x^3(x)+x^3(-1)+3(2x^2)+3(x)+3(-1)\\& = 2x^5+x^4-x^3+6x^2+3x-3\end{aligned}[/tex]

Related Questions

Use the equation below to find A, if 1 = 6 and w = 3.
A = lw

Answers

Answer:

l=6, w=3

And A is the multiplication of l and w

A=6×3

3. Can you form a right triangle with the three lengths given? Why or why not?
4 m, 6 m, 7 m
Oyes; 42 +6² * 7²
no; 4 + 6 # 7
yes; 4 + 6 = 7
Ono; 4² +62 * 7²

Answers

Answer:

Step-by-step explanation:

To get if values can create a right angled triangle use the pythogras theory a squared plus b squared equals c squared

So in this case 4 squared plus 6 squared don't equal to 7 squared

Select all of the values of x that make the inequality -x+6= or grater than 10
true.

Answers

Answer:

2/5

3/2

Step-by-step explanation:

Note that:

> = Greater than

< = Less than

≤ = Less than or equal to

≥ = Greater than or equal to

Solution:

Since it given that 27/7n > 4/3

It means that

27/7n is greater than 4/3.

Now going through all answer choices:

----------------------------------------------------------------------------------------------------------

27/7(2/5) = 1 19/35

1 19/35 is greater than 4/3

Thus, 2/5 is true.

----------------------------------------------------------------------------------------------------------

27/7(1/3) = 1 2/7

1 2/7 isn't greater than 4/3

Thus, 1/3 is false.

----------------------------------------------------------------------------------------------------------

27/7(1) = 3 6/7

3 6/7 is greater than 4/3

Thus, 1 is true.

----------------------------------------------------------------------------------------------------------

27/7(2/9) = 6/7

6/7 isn't greater than 4/3

Thus, 2/9 is false.

----------------------------------------------------------------------------------------------------------

27/7(3/2)=5 11/14

5 11/14 is greater than 4/3

Thus, 3/2 is true.

----------------------------------------------------------------------------------------------------------

[Matthew1756654]

In slope-intercept form, write the equation of the line parallel to y=3x+4 that passes through (−5, 8).

y=_x+_
fill in the blanks

Answers

Answer:

y = 3x+13

Step-by-step explanation:

I would like to ask you if you know how to differentiate an equation to get a slope ?. I always use calculus to get a slope. The slope i found was 3 so i used y-y1 = m(x-x1) formula.

Answer: y = 3x+13

Step-by-step explanation:

The slope i found was 3 so i used y-y1 = m(x-x1) formula.

units and Lino Plots
More
Bags of Oranges
х
Jordan fills several bags with oranges. This line plot
shows the weight of each bag.
How many more pounds does one of the heaviest
bags weigh than one of the lightest bags?
Enter your answer as a mixed number by filling in the
boxes.
х
х
х
х
х
х
х
х
xx
xx
X X
X X
X X X
х
х
х
х
х
х
х
х
X
8
8
4 44 45 46 45 5 5 5 5 5
55 55
Weight (lb)
Ib
1
2
3
4
4
5
6
1

Answers

Answer:

1 1/8 or 9/8

Step-by-step explanation:

5 1/2 - 4 3/8 = 1/ 1/8

Work out the size of angle x

Answers

take 180-123=57 u take 42+57=99

Sum and Difference Identities
Find the value of the expression.
cos(-pi/12)
What would -pi/12 be the sum or difference of?

Answers

Notice that

1/6 - 1/4 = -1/12

Then

cos(-π/12) = cos(π/6 - π/4)

cos(-π/12) = cos(π/6) cos(π/4) + sin(π/6) sin(π/4)

cos(-π/12) = (√3/2) (1/√2) + (1/2) (1/√2)

cos(-π/12) = (√6 + √2)/4

Between which x-values and y-values does the cluster lie

Answers

Answer:

See below ~

Step-by-step explanation:

x-values :

Lowest : 2Highest : 10Lies between 2 and 10

y-values :

Lowest = 4Highest = 11Lies between 4 and 11

Answer:B

Step-by-step explanation: The cluster is the 5 points in the bottom right corner or; between x-values 8 and 10 and y-values 4 and 6.

10 POINTS PLEASE HELP

Answers

Answer:

m∠A = 49°

Step-by-step explanation:

According to Angle Sum Property,

angles of the Δ add up to 180°∠A + ∠B + ∠D = 180°5x - 6 + 7x - 24 + 78 = 18012x + 48 = 180x + 4 = 15x = 11

m∠A

5x - 65(11) - 655 - 649°

Solve the system of equations.
y=x²-5
y= -2x+3
A. (-2, 7) and (4,-5)
OB. (-4, 11) and (2, -1)
OC. (2,-1) and (4,-5)
OD. (-4, 11) and (-2,7)

Answers

[tex]y= x^2 -5~~~~~~...(i)\\\\y = -2x +3~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~~~x^2 -5 = -2x+3\\\\\implies x^2 -5 +2x -3 = 0\\\\\implies x^2 +2x -8 = 0 \\\\\implies x^2 +4x -2x -8 = 0\\\\\implies x(x+4) -2(x+4) = 0\\\\\implies ( x+4)(x-2) = 0\\ \\\implies x = -4,~ x = 2\\\\\text{Substitute x = 2 in eq (ii)}:\\\\y = -2(2) +3 = -4 +3 = -1\\\\\text{Substitute}~ x = -4 ~\text{in eq (ii)}:\\\\y = -2(-4) +3 = 8 +3 = 11\\\\\text{So,} ~(x, y)=\{(2,-1), (-4,11) \}\\\\\text{Hence the answer is option B.}[/tex]

If the area of one circle with radius 7 is 153.86 square units, what's the area of another circle that has a radius of 12 units?

Answers

Answer: 452.16

Step-by-step explanation:

Two angles are complementary. One angle is labeled (2p + 9). The other angle is
labeled 4pº. Find the value of p.
A p = 2.5
B p = 4.5
Cp = 13.5
D p = 28.5

Answers

Answer:

p=13.5

Step-by-step explanation:

know: complementary angles add to 90

(2p+9) +4p =90

6p +9 =90

6p= 81

p= 81/6 = 13.5

Use the box plots comparing the number of boy dogs and number of girl dogs attending doggy daycare each day for a month to answer the questions.

Answers

The boxplots 1 and 2 represent the distribution of data using a five number summary for the male and the female attendance

(a) The IQR of the male's data

The first box plot represents the male's boxplot.

So, we have:

Upper quartile (Q3) = 14Lower quartile (Q1) = 2

The IQR is the difference between the above values

IQR = Q3 - Q1

So, we have:

IQR = 14 - 2 = 12

So: the IQR for the males' data is 12

(b) The difference in the median values

From the first and second boxplots, we have:

Median male = 10Median female = 18

The difference (d) between these values is

d = 18 - 10

d = 8

So: the difference between the median values of each data set is 8

This is dependent on whether the dataset has an outlier or not.

From the figure, we have:

Male's data: presence of an outlier - use medianFemale's data: absence of an outlier - use mean

So: the male dataset is measured by median, while the mean is a better measure of center for the female's data

(d) Reason for outliers

A possible reason for outliers is sampling problems

Answers

[tex]1.4 ~ \text{Radians}\\\\=\left( 1.4 \times \dfrac{180}{\pi}\right)^{\circ}\\\\=\left( \dfrac{252}{3.14}\right)^{\circ}\\\\=(80.3)^{\circ}[/tex]

[tex]\text{Hence the answer is A.}[/tex]

Select the correct answer.
E
B
2
7
B
C
0
b D
Polygon ABCDE is reflected to produce polygon ABCDE. What is the equation for the line of reflection?
ОА У-0
OB. X=0
OC x=2
OD. y=1

Answers

Answer:

B. x = 0

Step-by-step explanation:

we notice that a point and it’s image have the same y-coordinate and opposite x-coordinates

Example :

A(-2 , 2) is a point and A(2 , 2) it’s image by the reflection

[tex]y_{A}=2=y_{A^{\prime }}[/tex]

[tex]x_{A}=-2=-x_{A^{\prime }}[/tex]

Then the reflection is across the y-axis

Or The equation of the y-axis is x = 0

Yellow Bird launches from point (10,0). His flight path reaches a maximum height of 22 yards and lands at point (42, 0).

Answers

The Equation for the launch of the yellow bird is y = -0.1( x - 26 )² + 20

what will be the equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values

Given:

Starting position of the bird = ( 10 , 0 )

Final position of the bird = ( 42 , 0 )

Maximum Height of the bird = 20 yards

To find: Equation that represent this condition.

Clearly, Birds flight path is not a straight line. It has a curved path.

So, the path bird follow is a PARABOLA.

Standard Equation of the parabola in vertex form, y = a( x - h )² + k

where ( h , k ) is the vertex of the parabola.

In our Question , vertex is the point at the highest position.

Vertex will be 20 yard above the mid point of the starting and final position.

Using Mid-Point Formula,

Mid-Point of ( 10 , 0 ) & ( 42 , 0 ) =

Now, the vertex = ( 26 , 0 + 20 ) = ( 26 , 20 )

⇒ Equation, y = a( x - 26 )² + 20

Now, we find value of by substituting value of (10 , 0) in the equation,

⇒ 0 = a( 10 - 26 )² + 20

a( -16 )² = -20

a(256) = -20

a = -20/256

a = −0.078125

a ≈ -0.1

Therefore, The Equation is y = -0.1( x - 26 )² + 20

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30% tip on a bill of $150.47

Answers

Answer:

45.141 or if you round 45.14

Step-by-step explanation:

150.47 x 0.30 = 45.141

Which equation does NOT represent a vertical asymptote of the graph of y=tanθ?

A. θ=-pi/2
B. θ=0
C. θ=pi/2
D. θ=3pi/2

Answers

The value of theta where we do not have a vertical asymptote is θ = 0.

Where we do not have a vertical asymptote?

The vertical asymptotes happen when the denominator becomes equal to zero.

For our case, we have:

tan(θ) = sin(θ)/cos(θ).

So the vertical asymptotes are for the values of θ where the cosine is equal to zero. Particularly, cos(0) = 1, then in θ = 0 the denominator is not equal to zero, which means that at that value we do not have an asymptote.

Then the correct option is B.

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James sees a truck at the dealership for $50,000
base price, $1,400 premium interior, $1,700
navigation touch-screen, and $2,200 smart
traffic sensors. If his current vehicle is worth
$5,000 and he's offered a 80% trade-in rate,
what is the total cost of the car after the $1,200
destination fee?
A. $41,900
B. $52,500
C. $51,500
D. $56,500

Answers

The total cost of the car after the $1,200 destination fee is B. $52,500.

How to calculate the total cost?

To calculate the total cost of the car after the trade-in rate and the destination fee, we shall subtract the trade-in value from the total price of the new car, and then add the destination fee.

Given:

Base price of the car = $50,000

Premium interior = $1,400

Navigation touch-screen = $1,700

Smart traffic sensors = $2,200

Total price before the trade-in

= $50,000 + $1,400 + $1,700 + $2,200 = $55,300.

The trade-in rate = 80% of the trade-in value, which is $5,000.

So, the trade-in value = 80% * $5,000 = $4,000.

Subtract the trade-in value from the total price:

$55,300 - $4,000 = $51,300.

Finally, add the destination fee of $1,200 to the destination fee:

Total cost of the car = $51,300 + $1,200

= $52,500.

Therefore, the total cost of the car after the $1,200 destination fee is $52,500.

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give Brainliest please help

Answers

Answer:

(b) a square

Step-by-step explanation:

It usually works well to plot the points, connect the dots, and assess the nature of the figure.

Here the points are on horizontal and vertical lines that are the same distance apart. The figure is a square.

Solve for X, will mark brainliest if right

Answers

Answer:

x = 8

Step-by-step explanation:

The sides are in proportion.

[tex]\frac{RG}{FG} =\frac{SH}{FH}[/tex]40 / 7x + 14 = 44 / 33 + 4440 / 7x + 14 = 44/77 = 4/740(7) = 4(7x + 14)280 = 28x + 5610 = x + 2x = 8

Lillian and Mackenzie clean rooms at a hotel. Today, they cleaned the same number of rooms, but Mackenzie worked fewer hours. Tomorrow, their shifts are the same length. Who will likely clean more rooms?

Answers

Answer:Mackenzie

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mackenzie

A lion can run at a speed of 1.43 kilometers per minute. How fast can the lion run in miles per hour

Answers

The loin's speed in miles per hour will be 53.31 miles per hour.

What is velocity?

Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.

It is given that:-

lion can run at a speed of 1.43 kilometres per minute.How fast can the lion run in miles per hour

Now to find the speed of a lion in miles per hour we have the following relationship.

[tex]1\ \ \ \dfrac{KM}{min} \ = \ 37.28\ \ \ \ \dfrac{Miles }{hour}[/tex]

[tex]1\ \ \ \dfrac{KM}{min} \ \times 1.43\ = \ 37.28 \times 1.43\ \ \ \dfrac{Miles }{hour}[/tex]

[tex]1.43\ \ \ \dfrac{KM}{min} \ = \ 53.3\ \ \dfrac{Miles }{hour}[/tex]

Therefore the loin's speed in miles per hour will be 53.31 miles per hour.

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a number minus 4 is less than thirteen

Answers

I would think that for it to be less then thirteen it would either be 12 or 11

rewrite! Write an new and equivalent equation that is easier to solve

Answers

[tex]{\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}[/tex]

[tex] \sf 7( \sqrt{m + 1} - 3) = 21[/tex]

we will multiply 7 with bracket

[tex] \sf 7 \sqrt{m + 1} - 21 = 21[/tex]

Now we will take (-21) on LHS to RHS

[tex] \sf 7 \sqrt{m + 1} = 21 + 21 \\ \\ \sf7 \sqrt{m + 1 } = 42 \\ \\ \sf \sqrt{m + 1} = \frac{42}{7} \\ \\ \sf \sqrt{m + 1} = 6[/tex]

Now we will do squaring both sides

[tex] \sf {( \sqrt{m + 1}) }^{2} = {(6)}^{2} \\ \\ \sf \red {m + 1 = 36}[/tex]

[tex]\sf{ 7( \sqrt{m+1} - 3)=21}[/tex]