The coefficient of x in the expansion of
(x+3)(x-1) is

Answers

Answer 1
x^2 + x + 3x - 3
x^2 + 4x - 3

Therefore the coefficient of x in expansion is 4.

Related Questions

A car wheel has a diameter of 27.1". How far will the car go when the wheels rotate 100 times?

Answers

Answer:

135.5"

Step-by-step explanation:

Answer:

8509.4

Step-by-step explanation:

The diameter has already been displayed so what I could simply do is solve the equation simply by using the formula for circumference using diameter (C=3.14 x 27.1) and that will get me 85.094 but thats how far it will get if it rotates 1 times so we must multiply it by 100 and move the decimal point 2 digits to the right and the final answer is 8509.4. 8509.4 (no mathematical unit) is how far the car can go when the wheels have a diameter of 27.1 and rotates 100 times.

Find the circumference and area of the circle. Use 3.14 for π. Round to the nearest hundredth if necessary.
13m.

Answers

Answer:

81.64

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please be explicit in labeling the radius.   I will assume y ou meant r = 13 m.

Circumference formula:  C  = 2πr; area formula:  A = πr²

Here, with r = 13 m, C = 2π(13 m) = 26π m = C = 81.68 m

and

with r = 13 m, A = π(13 m)^2 = 169π = A = 530.93 m^2

Evaluate:
26 (2n + 5) = [?]
Can someone please help me ASAP !

Answers

Answer:

it's 823 problem solved

There is a photo. No explanation needed just answer thank you

Answers

It’s 125 because 5 over 3 is 5 (3) times so 5x5x5= 125 hoped this helped.

Answer this question to get marked as brainliest!!!!

Answers

Answer:

7

Step-by-step explanation:

need help on math please

Answers

The length of missing leg is √40 = 6..32

Answer:

This one should match according to the pythagoras theorem

Maya invests $3,500 into an ETF which earns 7% per year. In
30 years, how much will Maya's investment be worth if
interest is compounded semiannually (twice a year)? Round to
the nearest dollar.

Answers

i have no clue i just need points

How can I solve for x?

Answers

Answer:

37 degrees

Step-by-step explanation:

The angles within a triangle always add up to 180 degrees. Right angles are always 90 degrees. 53 + 90 = 143 degrees. 180 - 143 = 37 degrees

37 is the answer, so you know that 53 is one of the angles given and there is a 90 degree angle, so all you do is 53+90=180, then you get 143=180, then subtract 180-143=37 and the real answer is 37. Hope this helps!! :)

Triangle FGH is similar to triangle IJK. Find the measure of side KI. Round your
answer to the nearest tenth if necessary.
43
8
H Η
G
K
J
31
F

Answers

Answer:

[tex]5.8[/tex]

Step-by-step explanation:

Similar shapes also maintain a constant proportion of sides. Therefore, we can set up the following equation:

[tex]\frac{31}{43}=\frac{\text{KI}}{8}[/tex]

Solving, we get:

[tex]\text{KI}=\frac{8\cdot 31}{43}\approx \boxed{5.8}[/tex]

I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator was wrong! Help would be greatly appreciated!

Answers

Answer:

V = 3,367.6 cm³

Step-by-step explanation:

Diameter of sphere (D) = 18.6 cm

radius (r) = ½(18.6) = 9.3

π = 3.14

Formula for volume of a sphere = ⁴/3πr³

Plug in the values

V = ⁴/3 × 3.14 × 9.3³

V = ⁴/3 × 3.14 × 804.357

V = (4*3.14*804.357)/3

V = 3,367.57463

V = 3,367.6 cm³ (nearest tenth)

HELP DUE IN 10 MINS!

Circle R is defined by the equation ( x - 3)2 + ( y - 5)2 = 4. Select all of the points that lie on circle R.

A. (3,5)


B. (5,5)


C. (3,3)


D. (1,5)


E. (-1,5)


F. (3,7)

Answers

Answer:

B. (5,5)

C. (3,3)

D. (1,5)

F. (3,7)

Step-by-step explanation:

The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

From this, we can find that the radius of the circle is [tex]\sqrt{4}=2[/tex] and the center of the circle is at [tex](3, 5)[/tex]. Therefore, the coordinates of all points exactly 2 units away from this center point will lie on the circle.

Out of all options given, the desired answers are:

B. (5,5)

C. (3,3)

D. (1,5)

F. (3,7)

what is the sign of -8+8

Answers

it is 0

there is no sign to -8 + 8

Answer:

Your answer would be 0

Step-by-step explanation:

if you were asking a question like, 8+8 your answer would be, 16. Correct me if I'm wrong. ☆

Can someone help me out my grads are bad

Answers

Answer:

5/10 + 1/10 = 6/10 or if you simplify it 3/5

Step-by-step explanation:

1/2 = 5/10

1/10 = 1/10

5/10 + 1/10 = 6/10

6/10 = 3/5

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

1/2 + 1/10 = 5/10+ 1/10 = 3/5

Step-by-step explanation:

Find the LCD of 2 and 10 (10)

Add the two together (6/10)

Reduce (3/5)

Have a good day :)

solve 3x by 4 - 2x+5 by 3 = 5 by 2​

Answers

Answer:

50

Step-by-step explanation:

The given equation is,

→ 3x/4 - (2x + 5)/3 = 5/2

→ 3x × 3 - 4(2x +5)/12 = 5/2

→ 9x - 8x -20/12 = 5/2

→ (x - 20)/12 = 5/2

→ x - 20 / 6 = 5

→ x - 20 = 30

→ x = 20 + 30

x = 50

Hence the value of x is 50 .

Answer:

x=50

Step-by-step explanation:

Jasiah wants to buy a bicycle that costs $330. He has saved $50 so far and will save $40 each week until he has enough money to buy the bicycle​

Answers

The answer is $280

Working:

Answer:

$280

Step-by-step explanation:

There are 2 ways to do the question.

Method 1: $330-$50=$280

Method 2: 7 days equals to one week=$40.

$40×7=$280

Hope these helps you!

5) The coordinates of A are (1, 0) and the coordinates of B are (2, 6), what are the coordinates of the midpoint of AB?

Answers

Answer:

The coordinate of the midpoint of AB is (1.5, 3).

Step-by-step explanation:

The midpoint of AB is the point that is the same distance between both points A and B. In order to find the midpoint, add the x and y values of points A and B respectively, and divide the sum by 2 to find the midpoint of AB. [tex]\frac{1+2}{2} = 1.5[/tex], so the x value of the midpoint is 1.5. [tex]\frac{0+6}{2} = 3[/tex], so the y value of the midpoint is 3. You'll get that the coordinate of the midpoint of AB is (1.5, 3).

I’m really confused on how to write the range of inequality because it’s been a while. Can someone please help??



Answers

Answer:

y ≤ 0

Step-by-step explanation:

The arrow says that the function keep going down

the biggest y is 0

so we can write

y ≤ 0

There are 19 birds in a pond, all of which are ducks or geese. If the number of ducks in the pond is 1 more than twice the number of geese in the pond, how many geese are in the pond?

A. 6

B. 9

C. 10

D. 13

Answers

d I think d

Step-by-step explanation:

yayasjsjamaaak

2|5-10|-|-3| please provide a step by step explanation (:

Answers

[tex]\sf\purple{B.\:7}[/tex] ✅

Step-by-step explanation:

[tex]2 |5 - n| - | - 3| \\ = 2 |5 - 10| - 3 \\ = 2 \times 5 - 3 \\ = 10 - 3 \\= 7[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Dylan wants to buy both the tablet and
the camcorder. How much will he pay
if he buys them during the sale?

Answers

Answer:

108$

Step-by-step explanation:

The order of numbers is not important in ____________ of rational numbers.​

Answers

Answer:

addition?

Step-by-step explanation:

A ship is 7 ft from the dock. One sailor who is standing at the front of the boat 10 ft above dock level tosses rope to another sailor who is standing on the dock to tie the boat to the dock. How is the angle of elevation for the sailor standing on the dock related to the angle of depression for the sailor standing at the front of the boat?

Answers

Answer:

ım not speak english because i'm turkish

The angle of the depression is equal to the angle of elevation for the same place.

The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.

What is angle of elevation?

The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.

What is angle of depression?

The angle of depression is the angle between the horizontal line and the line of sight which is below the horizontal line.

Given information-

The distance between the ship and dock is 7 ft.

The one sailor is standing 10 ft above the dock level.

The another sailor is standing on the dock.

The angle of depression and elevation is shown in the image.

Here the angle made by the sailor who is 10 ft above from the dock level on the ship is,

[tex]\tan \theta=\dfrac{10}{7}[/tex]

Find the value of angle as,

[tex]\theta=\tan ^-(\dfrac{10}{7})\\\theta=55[/tex]

Hence the angle of depression is 55 degree.

As the angle of the depression is equal to the angle of depression for the same place.

Thus the angle of elevation is 55 degrees.

Hence, The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.

Learn more about the angle of depression here;

https://brainly.com/question/10217662

Identity the slope and y intercept

Answers

Answer:

3,-2

Step-by-step explanation:

From the attached graph we need to find the slope and the y Intercept . The data that can beextracted from the graph is ,

The line passes through (0,3) and (1.5,0) .

Hence the y Intercept here is 3 , since the graph cuts y axis at 3 units above the x axis.

Slope :-

→ m = 3 - 0 / 0 - 1.5

→ m = 3/-1.5

m = -2

Hence the y Intercept is 3 and the slope is (-2) .

A horizontal line passing through the point (-15,12)

Answers

Answer:

this is your answer........

help please help help help

Answers

Answer:

area = 32

perimeter = 30

Step-by-step explanation:

Formulas:

Area of a parallelogram: A = bh

Perimeter of a parallelogram: P = 2 ( b + s )

Where h = height s = slant height and b = base length

Define:

b = 8

h = 4

s = 7

Plug in given values into formulas and calculate

A = (8)(4)

8 * 4 = 32

A = 32

P = 2 ( 8 + 7 )

8 + 7 = 15

2(15) = 30

P = 30

Find the value of x.
a) 80
b) 90
c) 45
d) 60​

Answers

Answer:

b

Step-by-step explanation:

The tangent- tangent angle x is half the difference of its intercepted arcs.

Th sum of the arcs in a circle = 360°

major arc = 360° - 90° = 270° , then

x = [tex]\frac{1}{2}[/tex] (270 - 90)° = [tex]\frac{1}{2}[/tex] × 180° = 90° → b

The same data are graphed in each histogram, but with different intervals. Which histogram has the best interval to draw conclusions on the height of the shortest player? A bar graph titled Height of players has height in inches on the x-axis and players on the y-axis. 4 players have a height of 60 to 69 inches and 12 players have a height of 70 to 79 inches. A bar graph titled Height of players has height in inches on the x-axis and players on the y-axis. 2 players have a height of 60 to 64, 2 have a height of 65 to 69, 7 have a height of 70 to 74, 5 have a height of 75 to 79. A bar graph titled Height of players has height in inches on the x-axis and players on the y-axis. 1 player has a height of 60 to 63, 2 have a height of 64 to 67, 3 have a height of 68 to 71, 7 have a height of 72 to 75, and 3 have a height of 76 to 79.

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

ФФФФ↓↓∴Ф⊄⊄∠㏒㏑↑↑↑↑⇒⇒⇒⇒Δ≅√√βΔФ∉∴∨↓∈ЛБХаЩЪ

Pleaseeee help #10 Which table below describes a linear function?
7 points
y
o
o
o
O
A
1
1
1
2
4
16
4
8
9
81
9
18
у
y
0
0
0
B
1
3
D
1
2
W
4
9
4
4
9
20
9
Ο Α
OB
Ос
Oo

Answers

Answer:a

Step-by-step explanation:

If 3 meters of a pinya cloth cost P200, how much will 9 meters of the same cloth cost? *

Answers

9 meters cost P600

Step-by-step explanation:

3×3 = 9

p200×3 =P600

if dy/dx = ysec^2(x) and y= 5 when x = 0, then y=?

А. e^tanx +4
B. e^tanx +5
C. 5e^tanx
D. tanx + 5
E. tanx + 5e^x

Answers

Answer:

C. [tex]\displaystyle y = 5e^{tan(x)}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

FunctionsFunction Notation|Absolute Values|Anything to the 0th power is 1

Algebra II

Logarithms and Natural logsEuler's number e

Calculus

Derivatives

Derivative Notation

Trig Derivatives

Differential Equations

Separation of variablesGeneral and particular solutions

Antiderivatives - Integration

Integration Constant C

Trig Integration

Logarithmic Integration

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \frac{dy}{dx} = ysec^2(x)[/tex]

x = 0, y = 5

Step 2: Rewrite Differential

Separation of variables

[Division Property of Equality] Isolate y terms together:                             [tex]\displaystyle \frac{1}{y}\frac{dy}{dx} = sec^2(x)[/tex][Multiplication Property of Equality] Isolate x terms together:                   [tex]\displaystyle \frac{1}{y}dy = sec^2(x)dx[/tex]

Step 3: Find General Solution

[Equality Property] Integrate both sides:                                                     [tex]\displaystyle \int {\frac{1}{y}} \, dy = \int {sec^2(x)} \, dx[/tex][1st Integral] Integrate [Logarithmic Integration]:                                         [tex]\displaystyle ln|y| = \int {sec^2(x)} \, dx[/tex][2nd Integral] Integrate [Trig Integration]:                                                   [tex]\displaystyle ln|y| = tan(x) + C[/tex][Equality Property] e both sides:                                                                   [tex]\displaystyle e^{ln|y|} = e^{tan(x) + C}[/tex]Simplify:                                                                                                         [tex]\displaystyle |y| = Ce^{tan(x)}[/tex]Rewrite:                                                                                                         [tex]\displaystyle y = \pm Ce^{tan(x)}[/tex]

Step 4: Find Particular Solution

Substitute in variables [Function]:                                                               [tex]\displaystyle |5| = Ce^{tan(0)}[/tex]Evaluate absolute value:                                                                               [tex]\displaystyle 5 = Ce^{tan(0)}[/tex]Evaluate trig:                                                                                                 [tex]\displaystyle 5 = Ce^0[/tex]Evaluate exponent:                                                                                       [tex]\displaystyle 5 = C(1)[/tex]Multiply:                                                                                                             [tex]\displaystyle 5 = C[/tex]Rewrite:                                                                                                         [tex]\displaystyle C =5[/tex]Substitute in C [General Solution]:                                                               [tex]\displaystyle y = 5e^{tan(x)}[/tex]

∴ Our answer is C.

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Differential Equations

Book: College Calculus 10e

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