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

This graph shows a proportional relationship.
What is the constant of proportionality?

Answers

Answer:

[tex]m = \frac{3}{4}[/tex]

Step-by-step explanation:

Given

See attachment

Required

The constant of proportionality

Select two points on the graph

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (4,3)[/tex]

So, the constant of proportionality (k) is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{3-0}{4-0}[/tex]

[tex]m = \frac{3}{4}[/tex]

does anyone know the domain and range of this?

Answers

Answer:

domain=1

range= -2

hope it helps

stay safe healthy and happy.

Someone tell me where everyone is going right please !!

Answers

Answer:

hello dude

equation;

7.8x - 100 > 79.86 + 5.8x

and answers are at the photo

HAVE A NİCE DAY

Step-by-step explanation:

greeetings from Turkey ツ

Answer:

1st drop box: (1) 7.5x - 100 > 79.86 + 5.8x

2nd drop box: (4) x > 105.8

3rd drop box: (4) 106

Step-by-step explanation:

1st drop box:

Revenue (the money you receive) must be greater than the costs (money you spend) to make a profit.

2nd drop box:

Use basic algebra to solve for x:

7.5x - 100 > 79.86 + 5.8x

(subtract 5.8x from both sides)

1.7x - 100 > 79.86

(add 100 to both sides)

1.7x > 179.86

(divide both sides by 1.7)

x > 105.8

3rd drop box:

We already know the solution to the inequality is x > 105.8

Notice how all the answer choices are whole numbers and the inequality sign is "greater than" and not "greater than or equal to".

That means it doesn't include 105.8

And it can't be 105 because 105 is NOT greater than 105.8

So the answer is 106

Hope it helps (●'◡'●)

What is (f.g)(x)?

f(x)=x^3 - 4x + 2
g(x)=x^2 + 2

Answers

Answer:

f(g(x)) =

[tex] {x}^{6} + 6 {x}^{4} + 8x^{2} + 2[/tex]

Step-by-step explanation:

put g(x) instead of any x in f(x)

[tex] {(x ^{2} + 2) }^{3} - 4( {x}^{2} + 2) + 2[/tex]

use the graph to find the value of y=sin q for the value of q 330​

Answers

Answer:  A) -0.5

Explanation:

Each tickmark is an increment of 30. Start at 270 and move 1 tickmark over to get to 270+30 = 300. Then another tickmark to the right gets us to 330.

Then from here, head straight down until you get to the curve. You should arrive at the point (330, -0.5)

So q = 330 pairs up with y = -0.5

Given a circle with (4. -3) and (2, 1) as the endpoints of the diameter.​

Answers

Complete question is;

Given a circle with (4. -3) and (2, 1) as the endpoints of the diameter.​ Write the equation of the circle.

Answer:

x² + y² - 6x + 2y + 5 = 0

Step-by-step explanation:

The end points of the diameter are;

(4. -3) and (2, 1).

Thus, the centre coordinates will be the midpoint of the diameter endpoints.

Thus;

Centre coordinates = ((4 + 2)/2), ((-3 + 1)/2) = (3, -1)

Diameter;

d = √(1 - (-3))² + (2 - 4)²)

d = √20

d = 2√5

Radius = ½ × diameter

Thus;

r = ½ × 2√5

r = √5

Equation of a circle is;

(x - a)² + (y - b)² = r²

Where;

(a, b) are coordinates of the centre of the circle

r is radius.

Thus;

(x - 3)² + (y - (-1))² = (√5)²

x² - 6x + 9 + y² + 2y + 1 = 5

x² + y² - 6x + 2y + 10 = 5

x² + y² - 6x + 2y + 10 - 5 = 0

x² + y² - 6x + 2y + 5 = 0

large pies cost £3.25 each
small pies cost £1.80 each

five children together buy 2 large pies and 1 small pie. they share the cost equally - how much does each child pay

Answers

Answer:

1.66 £

Step-by-step explanation:

(2 * 3.25 + 1.80) : 5 =

8.3 : 5

1.66 £

Can someone help me with this math homework please!

Answers

Answer:

3. The number of students that rode on each bus

Step-by-step explanation:

The equation they give us is:

2b + 6 = 70

The question already tells us that in this equation:

2 is the 2 buses that the school hired

6 is the 6 leftover kids who couldn't fit on the 2 buses

The question also tells us that the 2 buses only have a total of 64 seats, so 32 seats on 1 bus (64/2 = 32).

So that means b would equal the 32 seats on 1 bus, or the number of students that rode on each bus.

Hope it helps (●'◡'●)

How much will it cost for a customer to travel:
2 miles
6 miles

How far did a customer travel if they paid £3.50

Answers

Answer:

2miles = $3

6 miles = $5

3 miles

Step-by-step explanation:

By observation of the graph, the lines match up from 2 miles to $3

Answer:

offcourse it will be 2 miles .

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

25.5402665394

Step-by-step explanation:

x=24/cos(20) = 25.54026653942

Priya has planted a garden shaped like a right triangle. She knows that one leg of the triangle is 11 meters long and that the angle formed by that leg and the hypotenuse is 50 degrees . If Priya wants to build a fence around her garden. How many meters will she need? Round to the nearest hundredth and you must submit work to receive credit.

Answers

Answer:

She will need 41.22 meters.

Step-by-step explanation:

She knows that one leg of the triangle is 11 meters long and that the angle formed by that leg and the hypotenuse is 50 degrees .

The leg is adjacent to the hypothenuse. We know that the cosine of an angle [tex]\theta[/tex] is given by:

[tex]\cos{\theta} = \frac{l}{h}[/tex]

In which l is the length of the adjacent side and h is the hypothenuse.

Considering that we have [tex]\theta = 50, l = 11[/tex], we can find the hypothenuse.

Looking at a calculator, the cosine of 50 degrees is 0.6428.

So

[tex]0.6428 = \frac{11}{h}[/tex]

[tex]0.6428h = 11[/tex]

[tex]h = \frac{11}{0.6428}[/tex]

[tex]h = 17.11[/tex]

The other leg:

In a right triangle, with legs [tex]l_1[/tex] and [tex]l_2[/tex], and hypothenuse h, the pythagorean theorem states that:

[tex]l_1^2 + l_2^2 = h^2[/tex]

We already have one of the legs and the hypothenuse, so:

[tex]11^2 + l^2 = 17.11^2[/tex]

[tex]l^2 = 17.11^2 - 11^2[/tex]

[tex]l = \sqrt{17.11^2 - 11^2}[/tex]

[tex]l = 13.11[/tex]

How many meters will she need?

This is the perimeter of the garden, which is the sum of its dimensions, of 11 meters, 13.11 meters and 17.11 meters. So

[tex]P = 11 + 13.11 + 17.11 = 41.22[/tex]

She will need 41.22 meters.

1. What is the perimeter of the figure below. Simplify.
4x^3-5x 2x^3+6x 6x^3+x

Answers

Answer:

[tex]12x^3+2x[/tex]

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of its sides.

The sides in the triangle shown have lengths [tex]2x^3+6x[/tex], [tex]4x^3-5x[/tex], and [tex]6x^3+x[/tex] in no specific order.

Since its perimeter is given by the sum of its sides, the perimeter is equal to:

[tex]2x^3+6x+4x^3-5x+6x^3+x[/tex]

Combine like terms:

[tex]\boxed{12x^3+2x}[/tex]

Express 200 g as a percentage of 4 kg

Answers

Answer:

5%

Step-by-step explanation:

Both should be in same measurement. so convert 4 kg to gram

1 Kg = 1000 g

4 kg = 4 * 1000 = 4000 g

[tex]\frac{200}{4000}*100=\frac{2}{40}*100\\\\=\frac{1}{20}*100 = 1 * 5\\[/tex]

= 5%

two significant figures, 18.96 x 2.03 is

Answers

is there a picture that comes w this problem?

Which equation represents a line which is parallel to the line y=3x–8

Answers

Answer:

The equation of line which is parallel to the given line is y =  3 x + k.

Step-by-step explanation:

The equation of the line is

y = 3 x - 8

Compare with the standard equation

y = mx + c

The slope of line is

m = 3

So, the line parallel to the given line is

y = 3 x + k

where, k is any real number.

Need help with these 3 problems!

Answers

Answer:

1. 25

2. 44

3. 9

Step-by-step explanation:

Answer:

25 students44 cents9 eggs

Step-by-step explanation:

If there are 3 cookies for each student and 75 cookies in total, then the equation would be 75 ÷ 3. that equals 2588 total for 2 cans. Divide 88 by 2 for the unit price. That makes 44 cents. 45 eggs total, 5 layers. Divide 45 by 5. That makes 9 eggs per layer.

What is the equation of the line??

I NEED ANSWERS NOW PLEASEEEEE

for 20 points pls people help me out

Answers

Answer:

x = 0

Step-by-step explanation:

This is a vertical line, in fact the y- axis

The equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through

All of the x- coordinates on the y- axis are zero, then

x = 0 ← equation of line

help me out please, thank you

Answers

Answer:

Answer D is TRUE because on the graph if you were to keep going left even after the picture of the graph ends, the graph will still keep going up infinitely.

Step-by-step explanation:

Someone be generous & help me please I’ll return the favor

Answers

Answer:

Step-by-step explanation:

A bakery offers 4 different flavors of cake, 3 types of icing, 6 toppings, and 3 different sizes. If one option is chosen from each list, how many different cakes are possible? *

Answers

Answer:

216 different cakes are possible.

Step-by-step explanation:

Given that a bakery offers 4 different flavors of cake, 3 types of icing, 6 toppings, and 3 different sizes, if one option is chosen from each list, to determine how many different cakes are possible the following calculation must be performed:

4 x 3 x 6 x 3 = X

12 x 18 = X

216 = X

Therefore, 216 different cakes are possible.

find the compound interest on rs 800 for 2 years at 8% per annum interest being payable annually​

Answers

Answer:

Rs 968

Step-by-step explanation:

Given :-

P = Rs 800 Rate = 8% Time = 2 yrs .

To Find :-

Compound Interest .

Solution :-

We know CI as ,

> CI = P ( 1 + R/100)ⁿ

> CI = Rs 800 ( 1 + 10/100)²

> CI = Rs 800 × 11/10 × 11/10

> CI = Rs 968 .

To maintain a balanced diet, ensure that your food contains minimal amounts of certain ingredients. Which ingredient is missing in the sentence below?
One’s diet should include small amounts of fat, , and sugar.

Answers

Step-by-step explanation:

i think minerals and vitamins since they are micro nutrients

In the image m || n || p.



Given ∠10 = 2x + 70

∠7 = 5x – 20



Find m∠3.

Answers

Given:

In the given figure [tex]m\parallel n\parallel p[/tex].

[tex]m\angle 10=2x+70[/tex]

[tex]m\angle 7=5x-20[/tex]

To find:

The [tex]m\angle 3[/tex].

Solution:

If a transversal line intersect two parallel lines, then the alternate exterior angles are equal.

[tex]m\angle 7=m\angle 10[/tex]          (Alternate exterior angle)

[tex]2x+70=5x-20[/tex]

[tex]70+20=5x-2x[/tex]

[tex]90=3x[/tex]

Divide both sides by 3.

[tex]\dfrac{90}{3}=\dfrac{3x}{3}[/tex]

[tex]30=x[/tex]

Now,

[tex]m\angle 3=m\angle 7[/tex]               (Corresponding angles)

[tex]m\angle 3=5x-20[/tex]

[tex]m\angle 3=5(30)-20[/tex]

[tex]m\angle 3=150-20[/tex]

[tex]m\angle 3=130[/tex]

Therefore, the measure of angle 3 is 130 degrees.

Hey is there any chance anyone could help me with this question ASAP?? Tysm :)

Answers

Answer:

6

Step-by-step explanation:

A = π. r²

36π = π. r²

eliminate π, we get:

36=r²

r=√36

r = 6

Answer:

r = 6

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Given A = 36π , then

πr² = 36π ( divide both sides by π )

r² = 36 ( take the square root of both sides )

r = [tex]\sqrt{36}[/tex] = 6

Polynomial: 2x3 – x2 – 3x + 5; Divisor: x + 3

Answers

Answer:

x= 5/2= 2.500

x= -1 - Divisor: -3/2 = -1-(i)Divisor:3/2= 0.5000-0.8660(i)

x= -1+Divisor: -3/2= -1+(i)Divisor:3/2=-0.5000+0.8660(i)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((2 • (x3)) -  3x2) -  3x) -  5  = 0  

STEP  

2

:

Equation at the end of step

2

:

 ((2x3 -  3x2) -  3x) -  5  = 0  

STEP

3

:

Checking for a perfect cube

3.1    2x3-3x2-3x-5  is not a perfect cube

Trying to factor by pulling out : 3.2      Factoring:  2x3-3x2-3x-5  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -3x-5  

Group 2:  -3x2+2x3  

Pull out from each group separately :

Group 1:   (3x+5) • (-1)

Group 2:   (2x-3) • (x2)

Bad news !! Factoring by pulling out fails :

Answer:

2x² + 5x – 18 Remainder 59

Step-by-step explanation:

2x³ – x² – 3x + 5 ÷ x + 3

                   2x² + 5x – 18

x + 3 √ 2x³ – x² – 3x + 5

        – 2x³ – 6x²

            0  +  5x² – 3x + 5

                  – 5x² + 15x

                    0 – 18x + 5

                    – –18x –54

                             0 + 59

2x³ – x² – 3x + 5 ÷ x + 3 = 2x² + 5x – 18 Remainder 59

A car and a bus were travelling towards each other at uniform speeds. They were 250 km apart at noon and passed each other at 2 p.m. If the speed of the car was 75 km/h, find the speed of the bus.

Answers

Answer:

50 km/hr

Step-by-step explanation:

speed = x + 75

distance = 250km

time = 2

250 = (x + 75) * 2

125 = x + 75

x = 50

When principal = Rs x, Time = y years and Rate = z% per year, calculate the simple interest.

Answers

Answer:

X×Y×Z%/100

Step-by-step explanation:

using formula

si=p×t×r%/100

a trio and a quartet got together and played a song how many musicians were there?

Answers

Answer:

7

Step-by-step explanation:

trio meaning 3 quartet (quart) 4

plz answer!!!!!!!!!!!!!

Answers

Answer:

That's cheating my guy...................

the amount of snowfall in jan was 2 3/4 feet. the amount of snowfall in february was 1 2/3 feet. how much snow fall was there in january? (write answer in the simplest form)

Answers

Answer this is an example 4 you

To do this problem, you need to change the way the fractions are displayed so that you can simplify them.

The first step is to change them to improper fractions: fractions like 4/3 that represent more than 100% (parts adding to more than one whole).

For example, to change the first fraction in this way, multiply the number in front (2) by the bottom number:

2 * 3 = 6

This means the 2 can also represent 6 / 3. Remember that 1 equals 3/3 so 2 equals 6/3. Now add this to the 1/3 you started with, and you end up with 7/3.

Do the same for the other fraction.

Now that you have both fractions written in this way, you can multiply each by the other's denominator to arrive at their LCD (least common denominator). It won't always be least, but you can always simplify further. In this case, the numbers are small enough that it likely won't matter.

You will end up with a fraction of halves: some number x, over 2, meaning x number of halves.

Your other fraction is 7/3. So the common denominator is the bottom numbers multiplied together: 2 * 3 = 6.

To change 7/3 to a fraction of sixths, you multiply the whole thing by two. This gets the bottom number to be six.

7 * 2 = 14

3 * 2 = 6

So this fraction can also be written as 14/6. Once again, do the same to the other fraction (but multiply by 3, to get the other fraction into sixths also, since it is currently halves).

Now you have two fractions that are both in parts of six. A ratio (x:y) is nothing more than a fraction itself. So if you had for example the ratio

2/5 : 10/5

This ratio could also be written as 1/5 : 5/5, or 1/5 to 1. Both numerators (the top number) are divisible by 2, so you can divide them both by 2 and end up with a simplified version of the same ratio.

Whatever ratio you end up with (14/6 : some other fraction), do the same thing to it. See if any of the numbers share a common factor, and simplify where possible. If it's not possible to simplify further, you're done.

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