What is 5x^3 - 15x^2 factored, completely?

Please show all the work!!

Answers

Answer 1

Answer:

5x²(x - 3)

Step-by-step explanation:

Factor out 5x²

5x²(x - 3)

Answer 2

Answer:

The answer is [tex]5x^{2} (x-3)[/tex].

Step-by-step explanation:

To completely factor [tex]5x^{3}-15x^{2}[/tex], start by factoring [tex]5x^{2}[/tex] out of [tex]5x^{3}[/tex], which will look like [tex]5x^{2} (x)-15x^{2}[/tex].

Next, factor [tex]5x^{2}[/tex] out of [tex]-15x^{2}[/tex], and it will look like [tex]5x^{2} (x)+5x^{2} (-3)[/tex].

Then, factor [tex]5x^{2}[/tex] out of [tex]5x^{2} (x)+5x^{2} (-3)[/tex], and the final completely factored form is [tex]5x^{2} (x-3)[/tex].


Related Questions

If chicken wire comes in rolls that are 48 inches long, determine the smallest amount of rolls that will be needed to fence the garden

Answers

Answer:

No solution is possible from the information provided.

Step-by-step explanation:

Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions

Answers

Answer:

Step-by-step explanation:

The y intercept, also known as 'c' in the formula y = mx + c acts as the coordinate for y when x = 0 [E.g. (0, 24) which c = 24]

Question 1 =  y = -5x + 50

On the graph, c = 50 [ y = mx + 50 ]

30 - 15 = 15

7 - 4 = 3

15/3 = 5 (for the gradient, or 'm', which you may use the formula 'rise/run' on the line shown) [ y = 5x + 50 ]

ALTHOUGH, in question one, the line has a Negative Correlation, it slants downwards on the slope, so the gradient will be negative : y = -5x + 50

If x = 9, y = (9 x -5) + 50, = -5

y = -5

Question 2 =  y = 2.5x + 5

c = 5

m = 5/2 = 2.5

y = 2.5x + 5

when y = 30 > x = 10

30 = 2.5x + 5

30 - 5 = 25

25 = 2.5x

x = 25/2.5

x = 10

Question 3 = y = -10x + 50

c = 50

m = (30 - 20) / 1 = 10

y = -10x + 50

when x = 4 > y = (-10 x 4) + 50

y = -40 + 50

y = 10

Which ordered pair is the best approximation of the solution?

Answers

Answer:

D. (0.6, 1.3)

Step-by-step explanation:

we see in the table that the smaller x the smaller the difference between the y values of both functions. but it must not get too small, as for x=0.5 the difference gets bigger again.

the minimum difference we see for x=0.6. and the y-values are 1.2 and 1.4.

the solution of the system of equation means that both y values are the same for the "shared" x-value (which is the solution of the system, the point where both functions cross each other).

so, we consider 0.6 the best approximation for the true solution for x. and the solution for y is then somewhere in the middle between 1.2 and 1.4. so, 1.3 is a good approximation.

therefore, (0.6, 1.3) is the closest (= best) approximation to the real solution of all provided answer options.

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? (9x + 7)(4x + 1)(3x + 4) = 0 1 root 3 roots 4 roots 9 roots

Answers

Answer:

Step-by-step explanation:

3 roots

namely -7/9,-1/4.-4/3

What is the number of solutions of 4x2 + 12x + 9 = 0?
Α. 1
B. 2
C. 0
D.
no real solution

Answers

Answer:

A

Step-by-step explanation:

2.1 Factoring 4x2+12x+9 The first term is, 4x2 its coefficient is 4 . The middle term is, +12x its coefficient is 12 . The last term, "the constant", is +9 Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36 Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is 12 .

Find the slope of the line that contains the points named. G(3, -2), H(7, -2)

A. 0
B. -1
C. Undefined

Answers

A. 0

Answer:

Solution given

(x1,y1)=G(3, -2),

(x2,y2)=H(7, -2)

now

slope=(y2-y1)/(x2-x1)=(-2+2)/(7-3)=0/4=0

Answer:

0

Step-by-step explanation:

To find the slope

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

 = ( -2 - -2)/ ( 7-3)

   = (-2+2)/(7-3)

   = 0/4

Help,anyone can help me do quetion,I will mark brainlest.​

Answers

Answer:

Step-by-step explanation:

B3)  

z + 127 = 180   {linear pair}

z = 180 - 127

z = 53

y=  55    {Corresponding angles}

w + z + y =  180 {angle sum property of triangle}

w + 53 + 55 = 180

   w + 108 = 180

w = 180 -108

w = 72

x = w {Vertiaclly opposite angles}

x = 72

B4)  q +  101 = 180 {Linear pair}

               q = 180 -101

              q = 79

p = 142     {Corresponding angles}

p + s = 180        {linear pair}

142 + s = 180

        s = 180 - 142

        s = 38

s +q +r = 180          {angle sum property of triangle}

38 +  79 + r = 180

          117 + r = 180

                  r = 180 - 117

                  r = 63

y + 63 = 180 {linear pair}

y = 180 - 63

y = 117

x = q = {corresponding angles}

x = 79

if f (x) = x2 + 3x + 4 and g(x) = 5x + 7, for what values of x does f (x) = g(x)​

Answers

Answer:

3, -1

Step-by-step explanation:

just set f(x) = g(x)

x^2 + 3x + 4 = 5x + 7

combine like terms

x^2 - 2x - 3 = 0

factor

(x-3)(x+1)=0

x = 3, x = -1

so, f(x) = g(x) when x = 3 or -1

AB=? Round your answer to the nearest hundredth

Answers

sin 20’ = 3 / AB
AB x sin 20 = 3
AB = 3 / sin 20
= 8.77 (2 dp)

The table shows the number y calories burned in x minutes.
Find the missing y-value that makes the table represent a
linear function.
50
100 150
Input, x 0
Output,
O
у
24
36
У

Answers

Answer:

12

Step-by-step explanation:

The equation

2x(50) = 24

x(50) = 12

Answer:

y = 12

Step-by-step explanation:

36 - 24 = 12.

24 calories were burned in 100 minutes. 36 calories were burned in 150 minutes. That means that in 50 minutes (150 - 100) 12 calories were burned.

The price of a cell phone is 500$ Kathleen pays 8% sales tax on the price of the cell phone. How much sales tax does she pay?

Answers

Answer:

8%/100×500=$40

Kathleen pays $40 sales tax

Just B please. It’s not 4:3 tho please can someone helo

Answers

Answer:

The workout ratio of the online sales to shop sales is 1:3

Step-by-step explanation:

Given:

A jewelry shop sells 240 necklaces in a month. 180 of the necklaces were sold via the shops website. The rest were sold in a High Street shop.

To find:

Work out the ratio of online sales to shop sales.

Solution:

Total no necklaces = 240

Necklace sold on website = 180

Remaining necklace sold via street = 240 - 180 = 60

Ratio = 60 : 180 = 1 : 3

Hi there. May you please help if you can!

A(-4, 1), B(1, 5), C(4, -3), and D(-2, -3) are the vertices of a quadrilateral. Determine the coordinates of the image vertices after each transformation of ABCD. a) a reflection in the x-axis b) a reflection in the y-axis c) a rotation of 180° cw about the origin d) a rotation of 270° cw about the origin

Show your work

Answers

Answer:

hello brother or sister can you please send a picture of the graph in provided but if not there are no specific calculations on reflection so you have to be smart on it and try imagining it or have your own scratch

Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.

On a coordinate plane, a quadrilateral has points A prime (2, negative 2), B prime (negative 8, 2), C prime (2, 6), and D prime (8, 2).
What are the coordinates of the pre-image of B'?

(2, –8)
(–8, –2)
(–2, 8)
(8, 2)

Answers

Answer:

(-8 , -2)

Step-by-step explanation:

the coordinates of B’ are (-8 , 2)

then

Since B also is the image of B’ through the reflection across the x-axis

then the coordinates of B are (-8 , -2)

Answer:

(-8, -2)

Step-by-step explanation:

Find the length of the arc. Leave the answer in terms of π

Answers

Data not presented, please attach diagram.

A. The vertical scale is too high.
B. The vertical scale should not start at zero.
C. The bars are not the same width.
D. The bars are not the same height.

Answers

C. The bars are not the same width

A. 0.1
B. 0.5
C. 2
D. 5

Answers

Answer:

5 I think

Step-by-step explanation:

Well, 0.1 and 0.5 goes in anything so I doubt that's it, 2 goes in 10 but not 5, actually. I think if it's division than 2. Not 1,000 percent sure tho

Answer:

0.5

Step-by-step explanation:

So we know the orginal is 10 in size.

The new is 5 in size.

We can think of this as 10 : 5

To find the exact scale, we can divide both by the GCF.

The GCF is the greatest common factor between two numbers.

In this case, the GCF would be 5, now lets divide:

10/5 : 5/5

=

2 : 1

So we can see the ratio is 2 to 1.

Now, the scale is not 2.

The new ratio is 2 : 1, but 2 is the orginal. 1 is the scaled value.

To find the scale, you must divide the new scaled value by the orginal value:

1 / 2

=

1/2

So this is your scale factor.

There is actually another way to do this as well, which is quicker.

Take the new value, 5, and divide it by the orginal value, 10:

5/10

=

1/2

Either way, you get 1/2 as your answer.

Hope this helps!

Please I need help with this!!!!!!

Answers

Answer:

Step-by-step explanation:

1) Step 4: Marc has converted radical form to exponent form

Step 5: He has evaluated the value of the radical

3)

[tex]x = \sqrt[3]{8}[/tex]

Here, 3 is index and 8 is radicand.

Prime factorize 8 and for every 3 numbers we can take one number outside the radical

Solution:

[tex]x = \sqrt[3]{2*2*2}\\\\x = 2[/tex]

4) No,my equation does not have an extraneous solution.

My solution, satisfies the equation

Helpppppp!!’nnnnnnn.

Answers

The answer is 29.25

Answer:

35.75

Step-by-step explanation:

times 65 by 55%

Find the mean of the data set:

10, 8, 7, 7, 9, 10

Answers

Answer:

jk

Step-by-step explanation:

Answer:

nxgxhdhdjdkdkdjdjjddbdvd f fvfbfbfnfjjfcjjfjfjfjfjdjdjdjdjdjdjdjdjdjjjdjdjfjfjfjfjffjfjfjfjfjf

Using the triangle diagram below in the rules for special right triangles, discover the four missing links and choose them from the available choices:

Answers

Answer:

The solution for the system of right triangles are, respectively: [tex]a = 2\sqrt{6}[/tex], [tex]b = 4\sqrt{3}[/tex], [tex]c = 4\sqrt{6}[/tex], [tex]d = 6\sqrt{2}[/tex]

Step-by-step explanation:

By Geometry, we get the following equivalencies:

[tex]a = 2\sqrt{6}[/tex] (45 - 45 - 90 Theorem)

[tex]b = \sqrt{2}\cdot (2\sqrt{6})[/tex] (45 - 45 - 90 Theorem)

[tex]b = 4\sqrt{3}[/tex]

[tex]c = \frac{2\sqrt{6}}{\frac{1}{2} }[/tex] (30 - 60 - 90 Theorem)

[tex]c = 4\sqrt{6}[/tex]

[tex]d = \frac{2\sqrt{6}}{\frac{\sqrt{3}}{3} }[/tex] (30 - 60 - 90 Theorem)

[tex]d = 6\sqrt{2}[/tex]

If c is the number of cats, which variable expression represents the phrase
below?
The sum of the number of cats and 15 dogs
A. c•15
B. C+15
C. C-15
D.C/15

Answers

B C+15 because Sum means adding
It’s B I had the same question and got it right

Math help please I need it ASAP

Answers

Answer:

x=10.5

Step-by-step explanation:

[tex]\frac{x}{6} =\frac{7}{4} \\x=\frac{7}{4} \times 6\\=\frac{21}{2} \\=10.5[/tex]

Edgar is learning to make handmade corn tortillas from his grandmother in preparation for a family gathering. His
grandmother explains to Edgar that to make
delicious corn tortillas, he needs to add 2 cups of masa, or corn flour, for every
1.5 cups of hot water, which will make 15 tortillas. If Edgar uses the same relationship of masa to cups of water and needs to
make 90 tortillas for the gathering, how many cups of masa and water does he need?

Answers

To make 90 tortillas, he needs to make 6 batches. 6*15=90
2 cups masa per batch ->. 2 * 6=12 cups Masa
1.5 water per batch -> 1.5. * 6= 9 cups water

Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

What is division?

A method of dividing something into equal parts is called division.

How to solve this problem?

Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.

Edgar wants to make 90 tortillas.

We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.

1 bunch of 15 tortillas needs 2 cups of masa.

So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.

Again 1 bunch of 15 tortillas needs 1.5 cups of water.

So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.

Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

Learn more about division here -

https://brainly.com/question/13706292

#SPJ2

Find the volume of the cylinder round your answer to the nearest tenth.​

Answers

Answer:

V = 17362.9 ft^3  using 3.14 for the approximation

17371.8 ft^3 using the pi button

Step-by-step explanation:

V = pi r^2 h  where r is the radius and h is the height

V = pi (12)^2 ( 38.4)

V =pi ( 144) 38.4

5529.6pi

Letting  pi be 3.14

V = 5529.6 (3.14)

V =17362.944 ft^3

Rounding to the nearest tenth

V = 17362.9 ft^3

Letting pi = pi button

V =17371.75074 or to the nearest tenth 17371.8 ft^3

A roof is supported o 7 rafter each 6 1/2 feet long at 70 cents running foot how much did those rafters cost

Answers

Answer:

$31.85

Step-by-step explanation:

total cost of the rafters  = total length of rafters used x cost per foot

total length of rafters used = number of rafters used x length of rafters

7 x [tex]6\frac{1}{2}[/tex]

to solve, convert [tex]6\frac{1}{2}[/tex] to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

7 x [tex]\frac{13}{2}[/tex] = [tex]\frac{91}{2}[/tex]

cost per foot = 70 cents

100 cents = 1 dollar

70 cents = $0.70

total cost of rafters = $0.70 x [tex]\frac{91}{2}[/tex] = $31.85

a rectangular solid box measures 2.17 feet by 4.05 feet by 480 inches. in cubic yards, what is the volume of the box? express your answer as a decimal to the nearest tenth

Answers

Answer:

117.18 yards

Step-by-step explanation:

480in=40ft

2.17x4.05x40=351.54tf

351.54ft=117.18yrds

find the radius of a circle having area 2464cm²​

Answers

28cm^2 is the answer to this

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Area of the circle = 2464 cm².

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The radius of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:radius \:of\:the\:circle\:is\:28\:cm.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Let "[tex]r[/tex]" be the radius of the circle.

We know that,

[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr²}[/tex]

[tex]⇢ 2464 \: {cm}^{2} = \frac{22}{7} \times {r}^{2} \\\\ ⇢  {r}^{2} = 2464 \: {cm}^{2} \times \frac{7}{22} \\ \\⇢  {r}^{2} = \frac{17248}{22} \: {cm}^{2}\\ \\⇢  {r}^{2} = 784 \: {cm}^{2} \\ \\⇢ r = \sqrt{784 \: {cm}^{2} } \\ \\⇢ r = \sqrt{28 \times 28 \: {cm}^{2} } \\ \\⇢ r = 28 \: cm[/tex]

[tex]\boxed{Therefore,\:the\:radius \:"r"\:of\:the\:circle\:is\:28\:cm.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}[/tex]

find the first 5 terms in 3n^2/2

Answers

Here is the answer .......

HELP NEEDED!! Find the sine of W

Answers

Answer:

[tex]\frac{\sqrt{47}}{10}[/tex]

Step-by-step explanation:

First you find the missing side using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex].

Which is [tex](\sqrt{53})^{2} + b^{2} = 10^{2}[/tex].

do the squares to make it 53 + [tex]b^{2}[/tex] = 100 and solve for b.

[tex]b^{2} = 100-53\\b^{2} = 47\\b= \sqrt{47}[/tex]

Sine of an angle is Opposite over Hypotenuse to get

[tex]\frac{\sqrt{47} }{10}[/tex]

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