Darryl is finding the product of -5y(-4y^3+6y^2-5) Is he correct? If not, what changes should be made?

Darryl Is Finding The Product Of -5y(-4y^3+6y^2-5) Is He Correct? If Not, What Changes Should Be Made?

Answers

Answer 1
Answer:

A. Yes, Darryl’s work is correct.

Step-by-step explanation:

-5y(-4y^3 + 6y^2 -5)

Darryl used distributive property
Where the outside number (-5y) is being multiplied by all of the numbers in parentheses

-5y • -4y^3 = 20y^4

Two negative numbers multiplied makes a positive number and an extra y on -5y makes y^4

-5y • 6y^2 = -30y^3

Since -5y is being multiplied by a positive number, the product becomes negative. Extra y^3 comes from the y in -5

-5y • -5 = 25y

Two negatives are being multiplied causing the product to be a positive number and keeping the variable the same value.

Finally, add all of the results!

20y^4 + -30y^3 + 25y =
20y^4 - 30y^3 + 25y







Related Questions

There are 18 girls in a class and the ratio of the number of girls and boys in the class is 3:2. Find the number of boys.

Answers

Answer:

12

Step-by-step explanation:

Multiply to get the number of girls they've given you.

3 x 6 = 18 girls.

2 x 6 = 12 boys.

Answer:

Number of boys = 12

Step-by-step explanation:

Let the total number of children in the class be x

Number of girls = 18

Number of boys = x - 18

Ratio of girls and boys = 3 : 2

Sum of the ratio = 5

Find the value of x

[tex]\frac{3}{5 } \times x = 18\\\\3 \times x = 18 \times 5\\\\x = \frac{90}{3} = 30[/tex]

Therefore, total number of children in the class = 30

Hence number of boys  = x - 18 = 30 - 18 = 12

Find the value of x.
16.2
0.03
38.5
34.8

Answers

Hi there!

[tex]\large\boxed{x = 38.5}}[/tex]

To solve, we can use right triangle trig.

We are given the value of ∠A, and side "x" is its adjacent side. We are also given its opposite side, so:

tan (A) = O / A

tan (33) = 25 / x

Solve:

x · tan(33) = 25

x = 38.49 ≈ 38.5

Self Practice 5.3
1. Find the sum of the following arithmetic progression.

(a) -20, -15, -10, ..., 100

Answers

Answer:

5

Step-by-step explanation:

Have a phd in mathematics! Congrats on your first question!!!! Send me a brainlist :)

Please help me I really can't do these

Answers

Answer:

[tex]110 in^{2}[/tex]

Step-by-step explanation:

[tex]===========================================[/tex]

Formulas:

Area of a rectangle/square:

[tex]A=lw[/tex]

[tex]===========================================[/tex]

Squares(2):

5*5=25

Multiply by 2

50 in.

Rectangles(4):

5*3=15

Multiply by 4.

60 in.

Total:

Add.

50+60= 110 in2

I hope this helps!

n a test,correct answers carry +3 marks and wrong answers carry -1 marks.Ramesh answered all the questions.He scored 79 marks,though he maked 5 mistakes.Find the number of correct answers?

Answers

Answer:

The number of correct answers is 28

Step-by-step explanation:

The value of a correct answer = +3

The value of a wrong answer = -1

The number of questions Ramesh answered = All the questions

The number of mistakes in the question = 5,

Let x represent the number of correct answers therefore, we get;

+3 × x + (-1) × 5 = 79

∴ x = (79 - (-1) × 5)/+3 =  28

The number of correct answers, x = 28

What number could replace the box so that the system of equations has
infinitely many solutions?

A. -9

B. 3

C. 9

D. -3

Answers

Answer:

d  || if its wrong cancel me lol <3

Step-by-step explanation:

a donkey baked 46 pies. 3/23 he ate himself, the rest of the pies he put evenly among 4 plates. how much pies are there in each plate?

Answers

Answer:40

step by step explanation

3*23÷46=6

46-6=40

there are 40 pies in each plate

Answer:

Answer: 10 pies on each plate.

Step-by-step explanation:

Okay, to solve this problem we first need to find 3/23 of 46.

But before we do that, we need to know 1/23 of 46.

To solve this, we do 64 divided by 23 which equals 2.

then we multiple 2 by 3 to get 3/23 of 46 and that equals 6.

To find out how many pies remain, we subtract 6 pies from 46 pies, which gives us 40 pies. Then we divide 40 by 4, which is 10.

A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8% from 2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a for estimating the total output of wheat, in tons, in 2015?

A. 20 + 10 + 5
B. 20(10)(5)
C. 20 + 1.1 + 1.05
D. 20(1.1)(1.05)

Answers

Answer: Choice D

Explanation:

The increase of 9.8% rounds to 10% when rounding to the nearest ten

An increase of 10% would use the multiplier 1.1

Think of it like saying 1 + 0.10 = 100% + 10%

Similarly, the 5.1% rounds to 5% and an increase of this amount will use the multiplier 1.05

So if we started with 20 items, then 20(1.1)(1.05) is the expression that estimates an increase of 10% followed by an increase of 5%. The order doesn't matter (so you could increase by 5% first, then 10% later).

the 28th term of an ap is -5,find the common difference if the first term is 31​

Answers

Answer:

The common difference is -4/3.

Step-by-step explanation:

Recall that the direct formula for an arithmetic sequence is given by:

[tex]\displaystyle x_n=a+d(n-1)[/tex]

Where n is the nth term, a is the initial term, and d is the common difference.

We are given that the first term a is 31.

We also know that the 28th term is -5. Hence, x₂₈ = -5. Substitute:

[tex]\displaystyle x_{28}=-5=(31)+d(28-1)[/tex]

Solve for d. Simplify:

[tex]-5=31+27d[/tex]

Thus:

[tex]\displaystyle 27d=-36[/tex]

Divide both sides by 27. Hence, the common difference is:

[tex]\displaystyle d=-\frac{36}{27}=-\frac{4}{3}[/tex]

Answer:

-4/3

Step-by-step explanation:

This question is equivalent to:

Find the slope of a line going through points (28,-5) and (1,31).

*Arithmetic sequences are linear. The common difference is the slope.

Any ways to find the slope line the points up and subtract vertically. Then put 2nd difference over 1st difference.

(28,-5)

(1,31)

---------subtracting

27, -36

So the slope or the common difference of this line or arithmetic sequence is -36/27. This reduces to -4/3.

Which answers are written in function notation

Answers

Step-by-step explanation:

An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”; that is, y = f ( x). This last expression is read as “ y equals f of x” and means that y is a function of x.

Please help me .. I really need help with this ASAP ​

Answers

Given:

Number of flower pots = 6

To find:

The number of ways of the gardener to arrange the flower pots.

Solution:

Number of ways to arrange n items is n!.

So, the number of ways to arrange 6 pots is:

[tex]6!=6\times 5\times 4\times 3\times 2\times 1[/tex]

[tex]6!=720[/tex]

Therefore, there are total 720 ways of the gardener to arrange the flowerpots.

4x^2+22x factor the polynomial

Answers

Answer:

2x(2x+11)

Step-by-step explanation:

4x^2 +22x

Factor out 2x

2x*2x +2x*11

2x(2x+11)

What are the values that go into the green box?

Answers

Answer:

The value belonging to the green box is b

Step-by-step explanation:

QP uses the points Q and P

Q is (0,-a)

P is (b,-c)

The distance between the two points can be calculated using the distance formula;

D = √(x2-x1)^2 + (y2-y1)^2

(x1,y1) = (0,-a)

(x2,y2) = (b,-c)

D = √(b-0)^2 + (-c + a)^2

D = √(b)^2 + (-c + a)^2

álgebra 1 solve -2 + 11(17y + 15)

Answers

Answer:   187y + 163

Work Shown:

-2 + 11(17y + 15)

-2 + 11(17y) + 11(15) .... distributive property

-2 + 187y + 165

187y + (-2+165)

187y + 163

A soccer team made $575.75 from selling popcorn at a concession stand during a tournament. The popcom cost the
team $65.00. What is the amount of money earned for each player if the profit is divided equally among the 15
players? Round to the nearest cent.
O S34.05
0 $42.72
57.661.25
59.611.25 hurry I'm being timed!

Answers

Answer:

$34.05

Step-by-step explanation:

A tether ball is attached to the top of a 15-foot pole. Maddy holds the ball 3 feet off the ground and 4 feet from the pole. How long is the rope that the tether ball is attached to?

Answers

Answer:

15.52 ft

Step-by-step explanation:

the length of the rope can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

√15² + 4²

= √225 + 16

=√ 241

= 15.52 ft

Answer:

the answer is b the square root of 160

Step-by-step explanation:

i did it on the assignment

Dose 4(x+1)= 3x+4 have a solution

Answers

Answer:

x = 0

Step-by-step explanation:

First, multiply 4 by x+1

4x + 4 = 3x + 4

Subtract 3x on both sides

x + 4 = 4

Subtract 4 from both sides

x =

this is x = 0, since x = nothing.

Answer:

x=0

Step-by-step explanation:

4(x+1)= 3x+4

Distribute

4x+4 = 3x+4

Subtract 3x from each side

4x-3x+4 =3x-3x+4

x+4 = 4

Subtract 4 from each side

x+4-4 = 4-4

x=0

Where do the light-dependent reactions of photosynthesis occur in a plant cell? Choose 1 answer:
A) Chloroplast; stroma
B) Mitochondrion: thylakoid membrane
C) Chloroplast; thylakoid membrane
D) Chloroplast: outer membrane​

Answers

Answer:

C) Chloroplast; thylakoid membrane

Step-by-step explanation:

The question is a biological science question

The light-dependent reactions also known as the light reactions take place at the location site of the chlorophyll of the plant cell, within the chloroplast thylakoid membrane, and involves the energizing of the electrons within the pigment molecules, the electrons are then transferred through a transport chain within the thylakoid membrane

The dark reactions take place inside the stroma

Therefore, the correct option is chloroplast; thylakoid membrane

Consider the line y=7x-8.

Find the equation of the line that is parallel to this line and passes through the point (6, – 4).
Find the equation of the line that is perpendicular to this line and passes through the point (6, - 4).

Answers

Answer:

a). y = 7x - 46      b). y = -1/7x - 22/7

Step-by-step explanation:

a). y = 7x + b

-4 = 7(6) + b

-4 = 42 + b

-46 = b

y = 7x - 46

b). y = -1/7x + b

-4 = -1/7(6) + b

-4 = -6/7 + b

-22/7 = b

y = -1/7x - 22/7

Find the measure of LM

Answers

It’s LM becuase look at the photo Lm means

Answer:

[tex]{ \tt{LM = ON}} \\ { \bf{6x - 7 = 2x + 9}} \\ { \bf{4x = 16}} \\ x = 4 \\ \\ { \bf{LM = 6(4) - 7}} \\ { \boxed{ \tt{LM = 17 \: units}}}[/tex]

Find sin A, round to the nearest hundredth.

Answers

Answer:

.92

Step-by-step explanation:

sin A = opp side/ hypotenuse

       

We can use the Pythagorean theorem to find the hypotenuse

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

3^2 +7^2 = AC ^2

9+49 = AC ^2

58 = AC^2

Taking the square root

sqrt(58) = hypotenuse

sin A = 7/sqrt(58)

sin A =.91914503

sin A = .92

Factor 60 − 36w, to identify the equivalent expressions.

Answers

Step-by-step explanation:

60-36w6(10-6w)

hope it helps

stay safe healthy and happy..

Answer:

all of the answers are correct

Step-by-step explanation:

Katie approximated the volume and the surface area for a ball she was using for some exercises by assuming the ball is a sphere. She was surprised when the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. What is the radius of the ball?

Answers

Answer:

3

Step-by-step explanation:

Volume of sphere:

4/3 * pi * r^3

Surface Area of Sphere:

4 * pi * r^2

So if V = SA

4/3 * pi * r^3 = 4 * pi * r^2

4/3 * pi * r^3 = 4 * pi * r^2

1/3 * r^3 = r^2

1/3 * r = 1

r = 3

Volume is a three-dimensional scalar quantity. The radius of the ball is equal to 3 units.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the sphere is given by the formula,

V = (4/3)πR³

The surface area of the sphere is given by the formula,

Surface area = 4πR²

Also, it is mentioned that the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. Therefore,

(4/3)πR³ = 4πR²

R³/3 = R²

R = 3

Hence, the radius of the ball is equal to 3 units.

Learn more about Volume:

https://brainly.com/question/13338592

#SPJ2

Triangle Angle-Sum Theorem

Answers

Answer:

answer is C , 123

Step-by-step explanation:

angle 1 = sum of the interior opposite Angles

1 = 60 + 63

1 = 123

Kiera is reading a book that has 120 pages. She wants to know whether 'e' is the most commonly used letter in the book. Write down examples for each of the six steps for Kiera to follow.. What other factors could Kiera consider? Write down some problems Kiera might have in collecting her data. Plz help

Answers

Answer and explanation:

Keira could get or look up an electronic copy of the book online. Once she has an electronic copy(pdf for instance) of the book, she can count number of e's in her book using the PDF reader or any software extension(good number of tools online) that would do just that.

Factors for Keira to consider:

How many lines and words are there on average per page; how many words are there per line?

How many e's are there manually counting for at least 5 pages.

Problems Keira might have in collecting data:

If book is physical and not an electronic copy, Keira may have to go through a tedious task of counting manually. She could make a rough estimation based on a few pages counted but she would need more accurate figures which requires the tedious task of counting e 's manually

Jerry needs 216 posts to build a fence. He has 88 posts and needs P more. Write an equation that you could use to find the number of posts jerry still needs.

Answers

Answer:

P = 128 Post

Step-by-step explanation:

Total post needed = 216 posts

Number of post Jerry has = 88 posts

Number of posts jerry still needs = P

Total = Number of post Jerry has + Number of posts jerry still needs

216 = 88 + P

216 - 88 = P

128 = P

P = 128 Post

x y
10 27
11 a
12 11

In order for the data in the table to represent a linear function with a rate of change of -8, what must be the value of a?

a = 2
a = 3
a = 19
a = 35​

Answers

Answer:

a = 19

Step-by-step explanation:

If the rate of change is -8, subtract 8 from your y value of 27. And if 19 is correct, you should be able to subtract 8, and get 11 as the next number in the function, which you do, so 19 is the value of a.

A shopkeeper has enough money to buy 40 books each costing Rs.125. How many books he can buy if he gets a discount of Rs.25 on each book ?​

Answers

Answer:

48

Step-by-step explanation:

first , muntiply 40*125 = 5000( cost of 40 books in rs 125 each)

125-25 = 100

multiply 40*100= 4000

5000-4000= 1000

divide 1000/125 = 8

therefore , 40+8= 48

the diagram below shows a square inside a regular hexagon. The apothem of the hexagon is 18.11 units. To the nearest square unit, what is the area of the shaded region.

A. 1027 square units
B. 1087 square units
C. 862 square units
D. 1948 square units

Answers

the answer is 862sq units probably

What is the value of x?

Answers

oh my god you are such a god level hut

Answer:

A.36°

Step-by-step explanation:

65°+79°+X=180°

144+X=180°

X=180°-144°

X=36°

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