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

Find 39.5% of 373. Round to the nearest hundredth

Answers

39.5% of 373. is 147.336

Brent's neighborhood is putting down new mulch at the playground and he is in Charge of buying the mulch. One bag covers 3 yd.². How many bags will he need?

Answers

Answer:

I don't know but 4 could be it

Step-by-step explanation:

Solve
2x2 + 3x + 1 = 0

Answers

Answer:

it's false

Step-by-step explanation:

Answer:

x= -1 or x= -1/2

Step-by-step explanation:

x = -1, x = -1/2, Solve for x:

2 x^2 + 3 x + 1 = 0

The left hand side factors into a product with two terms:

(x + 1) (2 x + 1) = 0

Split into two equations:

x + 1 = 0 or 2 x + 1 = 0

Subtract 1 from both sides:

x = -1 or 2 x + 1 = 0

Subtract 1 from both sides:

x = -1 or 2 x = -1

Divide both sides by 2:

x = -1 or x = -1/2


Each time you take your dog to the dog park it costs $1.75. Write an expression that represents the cost of n visits to the dog park.

Answers

Answer:

1.75n

For each visit it costs 1.75, so n visits would be the product of the two.

Step-by-step explanation:

Answer:

1.75n

Step-by-step explanation:

"every time" means multiplication.

Total cost is $1.75 multiplied by n number of trips.

(for instance, if you take 3 trips, it would be 1.75+1.75+1.75, or 1.75*3)

Solve the simultaneous equations.
Please help.

Answers

Answer:

the answer is x= 5 and y = 1.5

Answer :Value of x is 5 Value of y is 1.5Explaination :

Here we have been given with two equations and we will solve them by elimination by substitution method inorder to get the value of x and y.

5x - 4y = 19 (Equation No 1)x + 2y = 8 (Equation No 2)

From Equation No 2 :-

>> x + 2y = 8

>> x = 8 - 2y

In Equation No 1 :-

Substituting here the value of x which we got above as (8 - 2y).

>> 5x - 4y = 19

>> 5 (8 - 2y) - 4y = 19

>> 40 - 10y - 4y = 19

>> 40 - 14y = 19

>> -14y = 19 - 40

>> -14y = -21

>> 14y = 21

>> y = 21 / 14

>> y = 1.5

Finding out value of x :-

>> x = 8 - 2y

>> x = 8 - 2 (1.5)

>> x = 8 - 2 × 1.5

>> x = 8 - 3

>> x = 5

Find the slope of the line passing through the points (-3,5) and (-3,-7)? can anyone help me

Answers

Answer:  Slope = Undefined

===========================================

Explanation:

Let's apply the slope formula

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

m = (-7-(-3))/(-3-(-3))

m = (-7+3)/(-3+3)

m = -4/0

We run into trouble because 0 is in the denominator. We cannot divide by zero. This is why the slope is undefined.

The two points (-3,5) and (-3,-7) form a vertical line when you draw a line through them. All vertical lines have an undefined slope.

Put another way: the x coordinates of both points are the same (both are -3), so when we subtract those x coordinates, we end up with 0 in the denominator that leads to an undefined slope.

Which are pairs of vertical angles? \
A = ∠COB & ∠COA
B = ∠BOD & ∠AOD
C = ∠COB & ∠AOD
D = ∠AOD & ∠AOC

Answers

Answer:

it is b sorry I tried to work out it best have a nice day

Answer:

a=

Step-by-step explanation:

please help me i need help

Answers

Answer:

21/8 cups of vegetables per cup of cheese

Simplify the expression
6x -(5x-4)

Answers

Answer:

x + 4 OR 1x + 4

Hope this helps, thank you !!

At practice, Carlos eats half as many apples as Alex, and also eats 2 tangerines. He eats 4 pieces of fruit in total. The equation 0.5x + 2 = 4 describes this situation. What does the variable represent?

Answers

Answer:

Step-by-step explanation:

In this scenario, the variable x represents the total number of apples that Alex has eaten. Since Carlos has eaten half as many apples as Alex this would be represented as 0.5 and is why it is being multiplied by the variable x. The 2 in this scenario represents the tangerines that Carlos has also eaten, while the 4 represents the total number of fruits that Carlos has eaten.

Suzy leaves her house and walks 6 blocks east then
8 blocks south. As the crow flies how far is suzy
from her house?

Answers

Answer:

14 blocks

Step-by-step explanation:

What is an equation of the line that passes through the points (-6, 2) and
(-4, -1)? Put your answer in fully reduced form.

Answers

Answer (assuming the equation can be written in point-slope form):

[tex]y-2 = -\frac{3}{2}(x+6)[/tex]

Step-by-step explanation:  

When knowing a point the line crosses through and its slope, you can write an equation in point-slope form, or [tex]y-y_1= m (x-x_1)[/tex].

1) First, find the slope of the line. Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and the x and y values of the two points given, then solve like so:

[tex]\frac{(-1)-(2)}{(-4)-(-6)}\\= \frac{-1-2}{-4+6}\\= \frac{-3}{2}[/tex]

Thus, the slope is [tex]-\frac{3}{2}[/tex].

2) Now, use point-slope form, [tex]y-y_1= m (x-x_1)[/tex]. Substitute the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

The [tex]m[/tex] represents the slope, so substitute [tex]-\frac{3}{2}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line crosses through. Any of the two points will work, and I chose (-6,2) for this answer. So, substitute -6 for

[tex]y-(2)= -\frac{3}{2}(x-(-6)\\y-2 = -\frac{3}{2}(x+6)[/tex]

37 degrees Celsius to Fahrenheit ​

Answers

98.6 degrees fahrenheit

Answer:

98.6 Fahrenheit

Step-by-step explanation:

Which equation best represents the comparison sentence

Answers

Answer:

5

Step-by-step explanation:

2x + 8y = 28
2x + 8y = 29
e?

Answers

Answer:

The question is unclear. what is e?

BAKE SALE Cassandra and Alberto are selling pies for a fundraiser. Cassandra sold 3 small pies and 14 large pies for a total of $203. Alberto sold 11 small pies and 11 large pies for a total of $220. Determine the cost of each pie.

Answers

Answer:

Large pie = 13

small pie = 7

Step-by-step explanation:

hope this helps!

Taking into account the definition of a system of linear equations, the cost of each small pie is $7, while the cost of each large pie is $13.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

x: cost of each small piey: cost of each large pie

Cassandra sold 3 small pies and 14 large pies for a total of $203. This is represented by: 3x + 14y= 203

Alberto sold 11 small pies and 11 large pies for a total of $220. This is represented by: 11x + 11y= 220

So, the system of equations to solve is:

[tex]\left \{ {{3x+14y=203} \atop {11x+11y=220}} \right.[/tex]

There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable y from the first equation, you obtain:

14y= 203 - 3x

y= (203 - 3x) ÷14

y= 14.5 - [tex]\frac{3}{14}[/tex]x

Replacing this expression in the second equation and solving, you obtain:

11x + 11×(14.5 - [tex]\frac{3}{14}[/tex]x)= 220

11x + 11×14.5 - 11×[tex]\frac{3}{14}[/tex]x= 220

11x + 159.5 - [tex]\frac{33}{14}[/tex]x=220

11x - [tex]\frac{33}{14}[/tex]x=220 - 159.5

[tex]\frac{121}{14}[/tex]x= 60.5

x= 60.5÷ [tex]\frac{121}{14}[/tex]

x= 7

Finally, to obtain the value of y, it is replaced in the expression previously obtained for y:

y= 14.5 - [tex]\frac{3}{14}[/tex]x

y= 14.5 - [tex]\frac{3}{14}[/tex]×7

y= 14.5 - [tex]\frac{3}{2}[/tex]

y= 13

Finally, remembering that x represents the cost of each small pie and y represents the cost of each large pie, so the cost of each small pie is $7, while the cost of each large pie is $13.

Learn more about system of equations:

https://brainly.com/question/1995493

https://brainly.com/question/3291576

https://brainly.com/question/7487907?referrer=searchResults

Find the measure of the side indicated​

Answers

Answer:

D is the right answer

Step-by-step explanation:

which statement are correct for evaluting this expression

Answers

I’m not sure but I think it’s b or 5
the answer is a. 2
let me know if it doesn’t work

Dawson baked one pie in 7/12 of an hour. How long will it take Dawson to bake 9 pies

Answers

Answer:

Explanation:

1 pie takes 7/12 of an hr

9 pie = 9(7/12)
9 pie = 21/4 = 5 1/4 hr = 5hr 15 minutes

What is the slope of y= -4x-3​

Answers

m=-4 hope this helps!!

someone give the worked solution for this please!!!!

Answers

Answer:

The scale Myra should use is one graph unit = 400 km or;

←--→ = 400 km

Step-by-step explanation:

The question relates to the representation of scale drawing

The actual distance between Perth and Sydney = 3294 kilometers

The given coordinates of Perth on the grid = (1.3, 3.4)

The given coordinates of Sydney on the grid = (9.2, 3.3)

The measure of the distance between Perth and Sydney, 'd', is given by using the following formula for finding the distance between two points given their 'x', and 'y' coordinates;

[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]

Therefore, by substitution, we have;

[tex]d = \sqrt{\left (9.2-1.3 \right )^{2}+\left (3.3-3.4 \right )^{2}} = \sqrt{\left (7.9 \right )^{2}+\left (-0.1 \right )^{2}} = \dfrac{\sqrt{6242} }{10} \approx 7.9[/tex]

d ≈ 7.9 units

Therefore, we have;

7.9 units of the graph = 3294 kilometers

1 unit of the graph ≈ 3294/7.9 km = 416.962025316 km ≈ 416.96 km

Therefore, the scale Myra should use for her map is 1 unit = 400 km.

..A cuboid is of dimensions 100cm x 60cmx40cm
How many small cuboids of dimensions
5cm x 8cm x 10cm can be placed in the
given cuboid.​

Answers

Answer:

600

Step-by-step explanation:

Volume big cuboid=100×60×40=240000cm³

Volume small cuboid=5×8×10=400

Number of small cuboids that can fit= 240000/400=600

Please help with what you can!

Thank you!

Answers

Answer:

The answer to number 9 is: 148.16

There are two numbers that
multiply to -45 and combine to 12. Find
the two numbers, then the LARGER
number is your answer for this question.

Answers

Answer:

The large number is 15

Step-by-step explanation:

15 * (-3) = -45

15 + (-3) = 12

find that area please

Answers

I think it’s 28

Okay so you divide the shape into three shapes. A square with the sides as 4•4. A rectangle with the sides 4•2. And a triangle with the sides 4•2.

4•4 = 16
4•2= 8
4•2 divided by 2 = 4
Then add
16+8+4= 28

I’m not for sure if this is right if it’s wrong just ignore it I’m sorry

у= 3х - 1
у = 3х + 2

Answers

Answer:

first on the slope is 3 and y intercept is 0,-1

second on the slope is 3 and y intercept 0,2

Step-by-step explanation:

The 10th, 4th and 1st term of an A.P are three consecutive find the common ratio of the G.P and the sum of the 6th term, taking the 1st term to be 4

Answers

Answer:

Common ratio=1/2

Sum of first 6 terms of an A.P=31.5

Step-by-step explanation:

Let a be the first term and d be the common difference of an A.P

a=4

nth term of an A.P

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

Using the formula

[tex]a_4=a+3d=4+3d[/tex]

[tex]a_{10}=a+9d=4+9d[/tex]

According to question

We know that

For G.P

[tex]\frac{a_n}{a_{n-1}}=r[/tex]=Common ratio

[tex]r=\frac{4+3d}{4+9d}=\frac{4}{4+3d}[/tex]

[tex]\frac{4+3d}{4+9d}=\frac{4}{4+3d}[/tex]

[tex](4+3d)^2=\frac{4}{4+3d}[/tex]

[tex]16+9d^2+24d=16+36d[/tex]

[tex]9d^2+24d-36d-16+16=0[/tex]

[tex]9d^2-12d=0[/tex]

[tex]3d(3d-4)=0[/tex]

[tex]d=0, d=4/3[/tex]

Substitute the value of d

When d=0

[tex]r=\frac{4}{4+3d}=\frac{4}{4+0}=1[/tex]

When d=4/3

[tex]r=\frac{4}{4+3\times \frac{4}{3}}=\frac{1}{2}[/tex]

But we reject d=0 because  if we take d=0 then the terms are not consecutive terms of G.P

Sum of n terms of an A.P

[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]

Using the formula

Substitute n=6 and d=1/2

[tex]S_6=\frac{6}{2}(2(4)+5\times \frac{1}{2})[/tex]

[tex]S_6=31.5[/tex]

Mr. Tuyen uses 7/8 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 5 weeks?

Answers

Answer:

35/8; 5 2/8

Step-by-step explanation:

7/8 × 5 = 35/8

35/8 should be simplified down to 5 and 2/8th tanks

Tina has an old fish tank in the shape of a circular cylinder. The tank is 2 feet in diameter and 6 feet high. How many cubic feet of water does it hold?

Answers

Answer:

The tank can hold 18.84 cubic feet

Step-by-step explanation:

Given

Shape: Cylinder

[tex]D = 2ft[/tex] -- Diameter

[tex]H = 6ft[/tex] -- Height

Required

Determine the volume

First, calculate the radius (r)

[tex]r = \frac{1}{2}D[/tex]

[tex]r = \frac{1}{2}*2ft[/tex]

[tex]r = 1ft[/tex]

The volume (V) of the tank is:

[tex]V = \pi r^2h[/tex]

Substitute values for r and h

[tex]V = 3.14 *1^2*6[/tex]

[tex]V = 3.14 *1*6[/tex]

[tex]V = 18.84[/tex]

Hence, the tank can hold 18.84 cubic feet

Estimate the equation of the line of best fit for the following graphs.


Answers

Step-by-step explanation:

the one on the left (b)

y= mx+b

at x= 0 y = -2

then b= -2

at x= -1 y= 1

1= -m -2

m= -3

y= -3x -2

......

the one on the right side (d)

at x= 2 y = 1

at x= 4 y = 2

1= 2m+b

2= 4m +b

subtract

1= 2m

m= 1/2

y= 1/2 x

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