Expand and simplify the following:

(5+2d)(2+3d+d²)

Must show working !! Will give brainliest :)

Answers

Answer 1

Answer: 2d³+11d²+19d+10

Step-by-step explanation:

Use the FOIl method to simplify this

FirstOuterInnerLast

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

 (5+2d)(2+3d+d²)

=10+15d+5d²+4d+6d²+2d³ ⇔ Expand using FOIL

=2d³+(5d²+6d²)+(4d+15d)+10 ⇔ Put like terms together

=2d³+11d²+19d+10 ⇔ Combine like terms

Hope this helps!! :)

Please let me know if you have any questions

Answer 2

Answer: 2d³+11d²+19d+10

Step-by-step explanation: first we rearrange terms (5+2d)(2+3d+d²) into (2d + 5)(2 + 3d + d^2) then we do Rearrange terms again and then we Distribute and combine like terms and get our answer.


Related Questions

Sam has a mass of 80 kg. His body contains 0.36 kg of potassium. What percent of Sam’s

body is potassium?​

Answers

Answer:

0.45 percent

Step-by-step explanation:

0.36 divided by 80 and then move decimal 2 places to the right

Answer:

0.45

Step-by-step explanation:

What is the slope between the two points (8, -2) and (-7, 10)?

Answers

Answer:

slope ={10--2}/(-7-8)=12/-15=-4/5

x + 3y = 2
-x + 2y = 3
Can somebody help me?

Answers

x = -1 ; y = 1

x + 3y = 2, isolate x by subtracting 3y from both sides. Now that x is alone (because x = -3y + 2) take -3y + 2 and plug it into the second equation.

-(-3y + 2) + 2y =3 ; multiply what’s in the parenthesis by -1. It now is 3y -2 + 2y =3, add the common variables ( 3y + 2y) and you now have 5y-2=3. Move the 2 to the other side by adding it to both sides, you now have 5y=5, divide both sides by 5 and y=1.

Take any equation and plug y in for 1 to get x.

For example, (in the second equation), -x+2(1)=3, multiply 2 by 1 and you’re left with -x+2=3. Subtract 2 on both sides and you have -x=1, now divide both sides by -1 and x=-1.

You can check your work by plugging in the x and/or y values into the equations

BRAINLIST!! Look at the inequality graphed on the number line below.

This inequality has

One solution at x = 3
Seven solutions
Three solutions
Eight Solutions
Infinity Solutions

Answers

Answer:

I think infinite since it goes on past these numbers.

Step-by-step explanation:

Answer:

Infinity solutions

Step-by-step explanation:

This inequality has infinite solutions because the number line goes from 3 to infinity. this means that there is an uncountable number of solution which means the answer to this question is E.

You spin a spinner that is equally divided into 7 parts. 2 parts white, 2 parts are speckled, and 3 parts are blue.

what are the odds against the spinner stopping at a blue section?

(Answer is a fraction)

Answers

Answer:

3/7

Step-by-step explanation:

you are gonna add all the parts together which is seven and because three parts are blue chances are that it might stop at blue three times out of seven

what is 28/10 as a proper fraction​

Answers

Answer:

Step-by-step explanation:

28/10 as a proper fraction.

28/10 is an improper fraction so you have to turn it into a proper fraction.

To do this divide the numerator (top figure) by 10 (the denominator) which equals 2.8 so to put it as a proper fraction you look at the whole number in 2.8 which is the 2 and keep the number after the decimal point as a fraction over the 10.

The answer would be 2 8/10

???????????????????????????

Answers

Answer:1/3

Step-by-step explanation:

A billiard ball is struck by a cue. It travels 100 cm before ricocheting off a rail and traveling another 100 cm into a corner pocket. The angle between the path as the ball approaches the rail and the path after it strikes the rail is 45 degrees. How far is the corner pocket from where the cue initially struck the ball?

Answers

Answer:

76.53 cm

Step-by-step explanation:

From the question, the triangle formed has 2 sides and an included angle ;

Angle, θ = C = 45°

We use cosine rule :

Taking the side to find as c

a = 100 ; b = 100

From cosine rule :

c = sqrt(a² + b² - 2abCosC)

c = sqrt(100² + 100² - 2(100*100)Cos45

c = sqrt(10000 + 10000 - 20000 * 0.7071067)

c = sqrt(20000 - 14142.135)

c = sqrt(5857.865)

c = 76.536690

c = 76.53 cm

Evaluate 8+3e8+3e8, plus, 3, e when e=2e=2e, equals, 2.

Answers

Answer:

yes that is right

Step-by-step explanation:

x(3x - 5) please and 5x(x - 3y) urgent !

Answers

Answer: 3x^2-5x

5x^2-15xy

Step-by-step explanation:

Answer:

3x² - 5x & 5x² - 15 xy

Step-by-step explanation:

1) x(3x - 5)

x × 3x - x × 5 (take the brackets out)

3x² - 5x.

2) 5x (x - 3y)

5x × x - 5x × 3y (take the brackets out)

5x² - 15 xy

simplify 3a x 4, thank youuuu

Answers

Answer:

12a

3 x 4 =12a

Put these in descending order
-6/7,|8-9|,-|-6|

Answers

Answer:

-6/7,1,-6

1, -6/7, -6

Step-by-step explanation:

Use a percent proportion to find 25% of 350.

Answers

Answer:

7.142857143 or

[tex] \frac{50}{7} [/tex]

Step-by-step explanation:

100 ÷ 350 = .2857142857

.2857142857 × 25 = 7.142857143

Would it be a
B
C
Or d

Answers

Answer:

bb bb bb bb bb BB BBB bb BB BBB

Answer:

b

a>-21 ⅓

Step-by-step explanation:

the second one.

Approximately 0.02 Love north Atlantic lobsters are born blue color out of 5000 Atlantic lobsters how many would you expect to be in blue color

Answers

Answer:  100 blue Atlantic lobsters

Step-by-step explanation:

Approximately 0.02 Atlantic lobsters are born blue.

0.02 in percentages is 2%.

Out of 5,000 Atlantic lobsters therefore, 2% will be born blue.

The number of blue lobsters expected is:

= 5,000 * 2%

= 100 blue Atlantic lobsters

help please
working too please!!!!.?​

Answers

Step-by-step explanation:

(1) 4mn × 6mp × 3mnp

= 4 × 6 × 3 ( mn × mp × mnp)

= 72 × (m³n²p²)

72m³n²p²

sorry, I'm busy, won't be able to complete it

On Sunday morning, 4 1/2 crates of grapes are delivered to thee grocery store. 2/5 of the grapes in each crates are green grapes. How many crates would it take to deliver only the green grapes?

Answers

Answer: 1 4/5 crates

Step-by-step explanation:

From the question, we are informed that 4 1/2 crates of grapes are delivered to a grocery store and that 2/5 of the grapes in each crates are green grapes.

The number of crates that it would take to deliver only the green grapes would be:

= 2/5 × 4 1/2

= 2/5 × 9/2

= 9/5

= 1 4/5 crates

A triangle with sides 6, 12, and 18 is similar to another triangle whose longest side is 24. What is the perimeter of the larger triangle?

Answers

Answer:

Possibly 48 because perimeter I believe is found by adding all sides up sorry if I'm wrong friend. -Your friend, Cipher

Step-by-step explanation:

Which unit of mesurement is used to express distance on a map in Spanish speaking countries

Answers

Spanish speaking countries use the metric system, so millas (miles) would not make sense!

The perimeter of the shape is 25.71cm
Calculate the value of the radius A take pi to be 3.142

Answers

Answer:

Step-by-step explanation:

2 [tex]\pi[/tex] r=25.71

6.284r= 25.71 (divide by 8.284 on both sides)

r=4.09cm

Answer :
Use the equation: 3.142r+2r= 25.71

Combine like terms for: 5.142r = 25.71

You will find that the radius is 5. The diameter is 10.

If you are using 3.142 to represent pi, you can check using the formula for perimeter of pi times diameter/2 for a semi circle. Don't forget to add the line segment for the rest of perimeter.

It would look like this: SemiCircle: 3.142(10)/2 = 15.71(distance around semi circle) + 10 (the line segment) = 25.71


What is the measurement of ABC?

Answers

Answer:

118°

Step-by-step explanation:

because 28 + 90 = 118

x – 18 = 96

x = [a]
Uhh plz help

Answers

The answer is 144 -18 = 96
This is algebra — ughhh algebra IS difficult, here’s the answer:

X = 114.

You have to rearrange the question. Change the minus to Plus.

X = 96+18

Add them up, ur answer is 114.

If you wanna double check, simply replace the x with the answer:
114-18= 96!!!

=P pls could i have a brainliest??

Can you please solve this

Answers

Step-by-step explanation:

To get the x intercepts you need to set y = 0.

So you will get:

[tex]x^{2}[/tex] - 4x - 12 = 0

which can then be put in the form of:

(x - 6) (x + 2) = 0

The x intercepts are: (6,0) and (-2,0).

For the vertex you would need to convert the equation to vertex form.

which is : y = a[tex](x-h)^{2}[/tex] =k

[tex]x^{2}[/tex] - 4x - 12 = y

turn it in to square form:

([tex]x^{2}[/tex] - 4x + 4) - 12 - 4 = y

[tex](x-2)^{2}[/tex] - 16 = y

so the vertex is = (2, -16)

Taut learns that when she spends $65.00 on supplies she is able to grow 162.5 pounds of tomatoes. How many dollars is Taut spending per pound of tomatoes grown?

Answers

Answer: $0.4 is spent by Taut  per pound of tomatoes grown

Step-by-step explanation:

Given : On spending $65.00 , tomatoes grown by Taut = 162.5 pounds

To find :  Taut expenditure per pound of tomatoes grown = ?

As it is given that :

162.5 pounds of tomatoes are grown by spending = $65.00

Thus 1 pound of tomatoes are grown by spending = [tex]\frac{65.00}{162.5}\times 1=0.4[/tex]

Thus $0.4 is spent by Taut per pound of tomatoes grown

IF m power n is equal to 32 wher m and n are natural numbers then find the value of n power m​

Answers

Answer:

[tex]n^m = 5^2[/tex]

Step-by-step explanation:

Given

[tex]m^n = 32[/tex]

Required

Find [tex]n^m[/tex]

[tex]m^n = 32[/tex]

Express 32 as an exponent

[tex]m^n = 2^5[/tex]

By comparison:

[tex]m = 2[/tex]

[tex]n = 5[/tex]

So:

[tex]n^m = 5^2[/tex]

Find the area of the figure.
22;
yd
21 syd
The area of the figure is
lyd?

Answers

Answer:

area = 462

Step-by-step explanation:

convert (-5√3,0) into polar form in radians in terms of π over the interval 0≤theta<2π

Answers

Answer:

z =  5√3(cos 0 + isin0)

Step-by-step explanation:

Convert (-5√3,0) into polar form in radians in terms of π over the interval 0≤theta<2π

The rectangular form is expressed as z = -5√3 + 0i

z = √(-5√3)² + 0²

z = √(25(3))

z = √75

z = 5√3

Get the argument

theta = tan^-1 0/-5√3

theta = tan^-10

theta = 0 degrees

Hence the polar form is expressed as z = r(cos theta + i sintheta)

z =  5√3(cos 0 + isin0)

simply the following: (2+5i)^2 - (2+i)​

Answers

Answer:

- 23 + 19i

Step-by-step explanation:

[tex](2 + 5i)^{2} - (2 + i) \\ \\ = {2}^{2} + {(5i)}^{2} + 2.2.5i - 2 - i \\ \\ = 4 + 25 {i}^{2} + 20i - 2 - i \\ \\ = 4 - 25 + 20i - 2 - i \\ ( \because \: {i}^{2} = - 1) \\ \\ 4 - 25 - 2 + 20i - i \\ \\ = - 23 + 19i[/tex]

The volume of a cone is 300 cubic
centimeters. A cylinder has the same radius
and height as the cone. What is the volume
of the cylinder?

Answers

The volume of the cylinder would be 900

15x^2 + 41x + 28

STEP BY STEP ANSWER PLSSS​

Answers

Answer:

(3x+4)(5x+7)

Step-by-step explanation:

15x^2 +41x+28

Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.

a+b=41

ab=15×28=420

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.

1,420

2,210

3,140

4,105

5,84

6,70

7,60

10,42

12,35

14,30

15,28

20,21

Calculate the sum for each pair.

1+420=421

2+210=212

3+140=143

4+105=109

5+84=89

6+70=76

7+60=67

10+42=52

12+35=47

14+30=44

15+28=43

20+21=41

The solution is the pair that gives sum 41.

a=20

b=21

Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).

(15x^2 +20x)+(21x+28)

Factor out 5x in the first and 7 in the second group.

5x(3x+4)+7(3x+4)

Factor out common term 3x+4 by using distributive property.

(3x+4)(5x+7)

Answer:

253+41x

Step-by-step explanation:

first evaluate the power of 15

then add the number 225+28

then the answer will be 253+41x

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