what is (2x2 + 4x − 3)(x2 + 2) distributived ?

Answers

Answer 1

Answer:

2x⁴ + 4x³ + x² + 8x - 6

Step-by-step explanation:

(2x² + 4x - 3)(x² + 2)

2(x² + 2) · x² + 4x(x² + 2) - 3(x² + 2)

2x⁴ + 4x² + 4x(x² + 2) - 3(x² + 2)

2x⁴ + 4x² + 4x³ + 8x - 3x² - 6

2x⁴ + x² + 4x³ + 8x - 6

2x⁴ + 4x³ + x² + 8x - 6


Related Questions


2w - 5 = 8

W =

Plllssssss helppoo

Answers

Answer:

w = 13/2 or 6.5

Step-by-step explanation:

2w - 5 = 8

Add 5 to each side

2w - 5+5 = 8+5

2w = 13

Divide by 2

2w/2 = 13/2

w = 13/2 or 6.5

Answer:

13/2

Step-by-step explanation:

the steps are in the screenshot attached.

what is the smallest number
5/3, 6/5, .9, 1, 1.3, 7/5
A. 5/3
B. 1.3
C. 7/5
D. .9
E. 6/5
F. 1
offering all my points this is needed!!!

Answers

The answer is D .9
All the other answers are larger

Applying L'Hospital's rule is not allowed

Answers

Answer:

-1/2

Step-by-step explanation:

lim x-> π/2 cos x /(2x-π) =

lim (x-π/2)->0 sin (π/2 - x) /2(x-π/2) =

lim (x-π/2)->0 - sin (x - π/2)/2(x-π/2) = -1/2

Mrs. Smith is creating a rectangular flower bed such that the width is half of the
length. The area of the flower bed is 34 square feet. Write and solve an equation
to determine the width of the flower bed, to the nearest tenth of a foot.

Answers

Answer:

As for this problem, we will first establish that the length of the flower bed be represented as x, the width of the flower bed be represented as x/2 ,and the area of the flower bed be taken as it is since it is given. We then follow the formula for area which is length multiplied to width which is:

A = LW

we then substitute them

34 square feet = x (x/2)

now all we need to do is find x first.

34 square feet = x squared / 2

now do a cross multiplication

68 square feet = x squared

then get the square root of both sides

8.246 feet = x

Since x is equal to the length of the flower bed, all we have to do to get the width of it is to divide it by 2. So...

W = x/2

W = 8.246 feet / 2

W = 4.123 feet

And since the problem asked it to find the width of the flower bed to the nearest tenth of a foot, the answer would be 4.1 ft.

The surface area of Canada is 9,984,671 square kilometers. Which number, written in scientific notation, is the best approximation of the surface area?

Answers

Answer:

9.99 *10 ^ 6 km

Step-by-step explanation:

Given that the surface area of Canada is 9,984,671 square kilometers.

The standard form of scientific notation is expressed as;

A * 10^n

A is any values between 1 to 9

n is an integer

Given

9,984,671 square kilometers.

9,984,671  = 9.99 *10 ^ 6

Hence the required scientific notation is 9.99 *10 ^ 6

slope = 4, point (3,-2) is on the line

Answers

Answer:

y = 4x + b

Step-by-step explanation:

We know that (3, -2) is on this line. So 3 = m(-2)+b.

This leaves us with two variables the slope (m) and the y intercept (b).

But wait a minute, the slope is given to us since it says slope = 4.

Our equation is now, 3 = 4(-2)+b

3 = -8 + b

b = 11.

Our final equation is now y = 4x + b.

(y,x) is a point on this line.

Hope this helped!

JoeLouis2

Raj is travelling to another country.
He flies for 5 hours at an average speed of 950 km/h on one plane.
He then flies for 6 hours 30 minutes at an average speed of 830 km/h on a second plane.
What is the total distance, in km, he travelled by plane?

Answers

Answer:

9,315 km

Step-by-step explanation:

Recall that distance = rate times time.

The distance flown at 950 km/h is (950)(5) km = 4,740 km

and:

The distance flown at 830 km/h is (830)(5.5) km = 4,565 km

Then the total distane Raj traveled is (4,740 km + 4,565 km) = 9,315 km

Ranking correct answer brainliest! If you need more points check unanswered questions

Answers

Answer:

8.66

Step-by-step explanation:

b = a sqrt(3)

tamara find the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should tamara expect the sum of the two cubes be equal to 5 if she rolls the two number cubes 144 times?

Answers

Answer:

the answer would be 20 :)

Step-by-step explanation:

Write each absolute value in a box to show the order from least to greatest.

Answers

Answer:

From least to greatest: -12 -8 -2 5 11

Step-by-step explanation:

Please mark brainliest have a good day and i hope i helped :)

Answer:

(11)=(3)-(1)+(6)=6

Step-by-step explanation:

Find the mean, median, and mode of the following set of data:

54, 48, 37, 55, 51, 54, 42, 52, 53

Answers

Answer:

Step-by-step explanation:

mode is means the data which is repeated maximum number of times.

here 54 is repeated maximum number of times so the mode of the given data is 54.

to calculate median u must arrange the data from ascending to descending order.

37 , 42 , 48 , 51 , 52 , 53 , 54 , 54 , 55 ,

median = (N + 1) /2    (N means number of data)

=9 + 1/2

=10/2

=5 th term

=52

Mean: 49.6
Median: 52
Mode: 54

For the median, we have to put the data in order:

37, 42, 48, 51, 52, 53, 54, 54, 55.

The middle number is the median: 52 (there are 4 numbers higher and 4 numbers lower than 52)

The mode is the number that occurs most often. 54 is the only one that shows up more than once.

To get the money, we add all the numbers, which = 446. Then divide that by how many numbers there are (9)
446/9 = 49.555555 = 49.6

Lily weighs 57.7 kg while her sister weighs 59.02 kg, how much more does Lily's sister weigh then her? Please provide the calculation!

Answers


The answer is 1.32

For this calculation, assuming that no conversions are required, the calcitonin goes as follows:


All that is needed is to subtract 57.7 from 59.02.

59.02 - 57.7 = ?

59.02 - 57.7 = 1.32

Hope this helps! Have a great day.

John gets paid $76 a day at his new job printing t-shirts. He also earns $2.50 for every t-shirt sold. Create
and equation to describe how much money John makes in a day. Write the equation for this problem in
function notation. Then interpret how much money John would makes in one day after selling 32 t-shirts.
Make sure to define your variables and show all of your work.I swear who ever answers this I will Give them brainlist please help

Answers

Answer:

y=76+2.5x where y is the amount he earns in a day and x is the number of tshirts sold

y=76+2.5(32)

y=76+80

y=156

he earns 156 dollars if he sold 32 tshirts

Step-by-step explanation:

Which pair of angles is complementary?
V
31°
56°
699
340
o

Answers

Answer: C

Complementary angles have a sum of 90 degrees. So to solve you would add each angle to the other to see if they add up to 90 degrees.

A. 31 + 69 = 100 (does not equal 90, so no)

B. 90 + 90 = 180 (they equal 180, which would be supplementary)

C. 56 + 34 = 90 (they equal 90, therefore they would be the complimentary angles)

Triangle PQR is similar to triangle XYZ. The length of PQ is one-half the length of XY. THe length of RP is 2 cm. Which proportion can be used to find the length of ZX?

Answers

Answer:

[tex]ZX = 4cm[/tex]

Step-by-step explanation:

Given

[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex]

[tex]PQ = \frac{1}{2}XY[/tex]

[tex]RP = 2cm[/tex]

Required

Find ZX

[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex] implies that, the following sides are similar

[tex]PQ \to XY[/tex]

[tex]QR \to YZ[/tex]

[tex]RP \to ZX[/tex]

To find ZX, we make use of the following equivalent ratio

[tex]PQ : XY = RP : ZX[/tex]

Where

[tex]PQ = \frac{1}{2}XY[/tex]

[tex]RP = 2cm[/tex]

So, we have:

[tex]\frac{1}{2}XY : XY = 2cm : ZX[/tex]

Express as fraction

[tex]\frac{\frac{1}{2}XY }{ XY }= \frac{2cm }{ ZX}[/tex]

[tex]\frac{1}{2}= \frac{2cm }{ ZX}[/tex]

Make ZX the subject

[tex]ZX = 2 * 2cm[/tex]

[tex]ZX = 4cm[/tex]

Date
Page
Out
of
100 students who appeared in
grade.VIII annual examination
of
Ram
Janaki Secondary School.60 passed in
mothematics, 50 in science and 20 students
passed in both subject find how
many
failed in both subject ? Aso show above information
student
in Venn-
bright
Venn-diagram
huan anatoa )
Sonnant Babase
eigshoos te
oloh​

Answers

Answer:

10 student failed in both subjects.

Step-by-step explanation:

Since out of 100 students who appeared in grade VIII annual examination of Ram Janaki Secondary School, 60 passed in mathematics, 50 in science and 20 students passed in both subjects, to determine how many failed in both subjects the following calculation must be performed:

(100 - 20) - (60 - 20) - (50 - 20) = X

80 - 40 - 30 = X

40 - 30 = X

10 = X

Therefore, 10 student failed in both subjects.

Help, need index form

Answers

Refer to the attachment for complete calculation.

3²× 11^-9

Please help with these 2 problems, fill in the blank

Answers

Answer: a. -6x

b. 3a; -3a2 (square) ; - 6

Step-by-step explanation:

What type of graph uses intervals to show the frequency of data?
+
A. Bar graph
B. Line graph
C. Histogram
O D. Circle graph
SUB

Answers

Histogram is the answer
the answer is c

c.histogram

1.en cada unos de los siguientes monomios identificó el coeficiente y la parte literal , halló el grado y el valor numérico para los valores . ×=3,Z =5. (a) 3ײ (b) 4ײ y (c) - 5ײy²z². ​
porfa me ayudan

Answers

I wish I could understand your language I DONT KNOW THOUGH SORRY

Need help on number 3 please!!

Answers

Answer:

f(x) - g(x) = x - 3

Step-by-step explanation:

f(x) - g(x)    starting with the basic equation

2x - (x + 3)    implementing the values into equation

x - 3       subtracting x and 3 from 2x making 2x into 1x (or just x) and making a       negative 3

PLEASE SOMEONE HELP ME WITH THESE QUESTIONS I'VE BEEN STUCK ON HERE FOR SO LONG​

Answers

Answer:

# means number

Step-by-step explanation:

Distance = Y-axis or output

Cost= X-axis or input

you do not need to add the brackets for the formula(BEDMAS), but it makes things clearer

For A -

the Y-intercept is where the first coordinate, or the # or the X-axis, is 0 (on the graph the y-intercept 0,4)

For B -

y = mx + b

m =  slope

x = input or # on the X-axis

b = y-intercept

or

formula = (input x increase in the slope) + output for 0 or (distance x increase in cost) + output for 0

input(x axis)         output(y axis)

0                 5    ← output for 0

1                  9  

2                 13

there is a +4 increase in the slope, the increase in the slope is an output #(in this case 9) - the previous output number (in this case 5)

formula = (input x increase in the slope) + output for 0 = distance

formula in use = (3 x 4) + 5 = 17

For C:

The dependent variable is the output or the cost because the input or the distance will determine the cost travelled. Eg. if I travel 9 miles it will cost $41. If the dependent variable is the cost then the independent variable is the distance

For D: (input x increase in the slope) + output for 0

(4.2 miles x $4) + 5

16.8 + 5 = $21.8; It will cost $21.8 to travel 4.2miles

For E: (distance x increase in cost) + output for 0

(? x 4) + 5 = 14

(14 - 5) = 9

9 ÷ 4 = 2.25miles; with 14 dollars I could travel 2.25 miles

(It is a bit confusing lol, but this is the way I understand it, if you can't understand it this way then use y = mx + b)

Bird A has the genotype ll for bill length, and Bird B is LL. The bills of their offspring would be

Answers

Answer:

false

Step-by-step explanation:

it is false bird a has the genotype ll for bill length and bird b is LL. A short bill describes bird a's genotype

Find the radius y of circle C, given that x = 12 and z = y + 8.
PLEASEEE HELP ME

Answers

i think the answer is 3 :))

The radius of the given circle is 5, option C is correct.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given figure, y is the radius.

By pythagoras theorem we find the radius

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

AC²+AB²=BC²

y²+12²=(y+8)²

y²+12²=y²+64+16y

144=16y+64

Subtract 64 from both sides

144-64 = 16y

80=16y

Divide both sides by 16

y=5

Hence, the radius of the given circle is 5, option C is correct.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ2

Which graph shows the solution to the system of linear inequalities?
x+5y>5
Y<2x+4
PLEASE HELP!!!

Answers

Answer:

x+5y >5 => red

y< 2x+4 => blue

Step-by-step explanation:

you can substitute x and y in each inequality to determine

Question 2
Find the equation of the line parallel to y = x - 2 that passes through the point (-3,2).

Answers

Answer:

The equation of the required line is y = x + 5

Step-by-step explanation:

The equation of the given line is y = x - 2

The required line = A line parallel to the given line

The point through which the required line passes = (-3, 2)

The general form of the equation of a straight line, is y = m·x + c

Where;

m = The slope of the line

By comparison, the slope of the given line, m = 1

When two lines are parallel, their slope are equal

Therefore, the slope of the required line = m = 1

The equation of the required line in point and slope form is therefore;

y - 2 = x - (-3) = x + 3

∴y = x + 3 + 2 = x + 5

The equation of the required line is therefore;

y = x + 5.

NUM ALDITORIO HA 224 CADEIRAS ORGANIZADAS EM 8 FILEIRAS COM A MESMA QUANTIDADE DE CADEIRAS QUANTAS CADEIRAS HA EM CADA FILEIRA

Answers

Answer:

The number of chains in each fileiras = 28.

Step-by-step explanation:

Total number of chains = 224

Number of fileiras = 8

Number of chains in each fileiras is given by the divison of total number of chains to the number filerias.

[tex]\frac{224}{8}\\\\=28[/tex]

What is an equation of the line that passes through the points (-5,6) and (7,6)?​

Answers

The answer is y = 6
Step-by-step explanation:
The formula of a slope:

We have the points (-5, 6) and (7, 6). Substitute:

The slope m = 0. Therefore it's a horizontal line y = a.
In the given points we have y = 6.

Line A has a slope of 3/2 and passes through the point (3, 3). Line B has a slope of – 1/3 and passes through the point (-4, -2). At what point does line A intersect line B? Line Aintersects line B at the point ( , ).​

Answers

Answer:

The lines meet at (-1, -3)

Step-by-step explanation:

Line A :

[tex](x_1, y_1) = (3, 3) \ ; \ slope, \ m_A = \frac{3}{2}\\\\Equation \ of \ line \ A : (y - 3) = \frac{3}{2}(x - 3)[/tex]

                             [tex]2(y - 3) = 3(x-3)\\2y - 6 = 3x - 9\\2y = 3x - 9 + 6\\2y = 3x -3[/tex]

Line B :

[tex](x_2,y_2) = (-4, -2) \ ; \ slope , m_B = -\frac{1}{3}\\\\Equation \ of\ line \ B: (y -(-2)) = -\frac{1}{3}(x -(-4))[/tex]

                             [tex]3(y + 2) = -1(x+4)\\3y + 6 = -x -4\\3y = -x - 4 - 6 \\3y = -x - 10[/tex]

Solve for x and y from the linear equation to find where line A and line B meets :

2y = 3x - 3 => 3x - 2y = 3 ------- (1)

3y = -x - 10 => -x = 3y + 10

                => x = - 3y - 10 --------(2)

Substitute (2) in (1) : => 3(- 3y - 10) - 2y = 3

                                   -9y - 30 -2y = 3

                                       -11y = 3 + 30

                                         -11y = 33

                                            y = -3

Substitute y in (2) : => x = -3 (-3) - 10 = 9 - 10 = -1

What is the area of the right triangle shown below?​

Answers

Answer:

60 units²

Step-by-step explanation:

Find the other side length:

8² + x² = 17²

64 + x² = 289

x² = 225

x = 15

Find the Area:

1/2(8 x 15) = Area

1/2(120) = Area

Area = 60

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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