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Which of the following is a factor of 5x3 - 135?

Answers

Answer 1

Answer:

[tex]5 (x - 3)( {x}^{2} + 3x + 9)[/tex]

Step-by-step explanation:

[tex]5 {x}^{3} - 135 \\ \\ = 5 \{ {x}^{3} - 27 \}\\ \\ = 5 \{ {x}^{3} - {(3)}^{3} \}\\ \\ = 5 (x - 3)( {(x)}^{2} + (x)(3) + {(3)}^{2} )\\ \\ = 5 (x - 3)( {x}^{2} + 3x + 9)[/tex]

Answer 2

Answer: If the question is asking to find the factor of 5x^3-135 then the answer is:
5(x-3)(x^2+3x+9)

Step-by-step explanation:

First, factor out the common term (x^3-27)

5(x^3-27)

Then, factor (x^3-27)

(x-3)(x^2+3x+3^2)

3^2 = 9

5(x-3)(x^2+3x+9) is the answer.


Related Questions

A square patio has a perimeter of (16x + 12) feet. What is the length of the patio?

Answers

Solution:

Note that:

Squares always have equal sides and angles.Perimeter of square patio: (16x + 12) ft.

Factorize the perimeter.

16x + 12=> 4(4x + 3) ft.

Find the length of the patio.

4(4x + 3)/4=> 4x + 3 ft.

The length of the square patio is 4x + 3 ft.

Two angles of a quadrilateral measure 219° and 24°. The other two angles are in a ratio of 2:11. What are the measures of those two angles?

Answers

Answer: 18 and 99 degrees

Step-by-step explanation:

The sum of the measures of the other 2 angles is 360 - 219 - 24 = 117 degrees.

So the other two angles measure (2/13)(117)=18 degrees and (11/13)(117)=99 degrees

❗❗100POINTS❗❗+BRAINLIEST FOR CORRECT ANSWER
Show that 8x²-6x-275=0
thanks. ​​

Answers

Answer:

(4x -25), (2x + 11)

Step-by-step explanation:

STEP1: Equation at the end of step 1

(23x2 - 6x) - 275

STEP2: Trying to factor by splitting the middle term

 2.1     Factoring  8x2-6x-275 

The first term is,  8x2  its coefficient is  8 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  -275 

Step-1 : Multiply the coefficient of the first term by the constant   8 • -275 = -2200 

Step-2 : Find two factors of  -2200  whose sum equals the coefficient of the middle term, which is   -6 .

     -2200   +   1   =   -2199     -1100   +   2   =   -1098     -550   +   4   =   -546     -440   +   5   =   -435     -275   +   8   =   -267     -220   +   10   =   -210     -200   +   11   =   -189     -110   +   20   =   -90     -100   +   22   =   -78     -88   +   25   =   -63     -55   +   40   =   -15     -50   +   44   =   -6   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -50  and  44 

                     8x2 - 50x + 44x - 275

Step-4 : Add up the first 2 terms, pulling out like factors :

                    2x • (4x-25)

              Add up the last 2 terms, pulling out common factors :

                    11 • (4x-25)

Step-5 : Add up the four terms of step 4 :

                    (2x+11)  •  (4x-25)

             Which is the desired factorization

Final result :

(4x - 25) (2x + 11)

Hope this helps a bit

[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(Sum\:of\: parallel\:sides)(Height)=133[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(x+5+3x-2)(2x-3)=133[/tex]

[tex]\\ \rm\hookrightarrow 4x+3(2x-3)=266[/tex]

[tex]\\ \rm\hookrightarrow 4x(2x-3)+3(2x-3)=266[/tex]

[tex]\\ \rm\hookrightarrow 8x^2-12x+6x-9=266[/tex]

[tex]\\ \rm\hookrightarrow 8x^2-6x-275=0[/tex]

Explain how you could use estimation to get an appoximate answer for the expression below. (11.6+7.3) - (6.2 x 2.1)

Answers

Answer:

(11.6+7.3) - (6.2 × 2.1)

(18.9)-(13.02)

= 149.1

PLEASEEE HELP!!!!!!!!!THIS IS HARD I WILL GIVE BRAINLIEST!!



1.Select the best estimate for the diameter of a dinner plate.
A. 25 mm
B. 25 cm
C. 2,500 mm
D. 25 m



2.Select the best estimate for the diameter of a quarter.
A. 0.20 mm
B. 20 mm
C. 200 mm
D. 20 cm



3.Estimate the length of a sheet of notebook paper.
A. 24 mm
B. 2.4 cm
C. 24 cm
D. 2.4 mm



4.Choose the set of measurements listed in order from least to greatest.
A. 5 g, 5 g, 5 mg
B. 5 g, 5 mg, 5 kg
C. 5 mg, 5 g, 5 kg
D. 5 mg, 5 kg, 5 g



5.Choose the set of measurements listed in order from greatest to least.
A. 20 kl, 20 L, 20 ml
B. 20 L, 20 ml, 20 kl
C. 20 ml, 20 L, 20 kl
D. 20 ml, 20 kl, 20 L



6.Choose the best estimate for the capacity of a soup bowl.
A. 50 ml
B. 60 ml
C. 5 kl
D. 0.5 L



7.Estimate the length of a new, unsharpened pencil.
A. 18 mm
B. 8 cm
C. 18 cm
D. 8 m


8.Choose the best estimate for the capacity of a bath tub.
A. 5 ml
B. 500 ml
C. 50 cl
D. 500 L



9.Choose the best estimate for the mass of a raisin.
A. 0.2 g
B. 2 g
C. 20 g
D. 200 g


10.Choose the best estimate for the mass of an apple.
A. 25 g
B. 250 g
C. 1,000 g
D. 2,000 g

Answers

Answer:

The following are the answers.

Step-by-step explanation:

1.A; I think the rest are too big to he the diameter of a dinner.

2. B

3.C

4.C

5.B

6.B

7.C

8.C

9. Its basically 1g but you can choose 2g or 0.2g

10. 250g.....but I know it as 100g that is 0.1kg

THIS IS WHAT I THINK THEY ARE......I'M JUST TRYING IT..

PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST​

Answers

Answer:

a

Step-by-step explanation:

(19.5-17)/ 19.5 = .12820

.12820*100= 12.82%

Find the inverse of the rational function
F(x)= 2x/x+3, x≠-3

Answers

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]\stackrel{f(x)}{y}~~ = ~~\cfrac{2x}{x+3}\implies \stackrel{\textit{quick switcheroo}}{x~~ = ~~\cfrac{2y}{y+3}}\implies xy+3x=2y\implies xy-2y+3x=0 \\\\\\ xy-2y=-3x\implies \stackrel{\textit{common factoring}}{y(x-2)=-3x}\implies y=\cfrac{-3x}{x-2}\implies \stackrel{f^{-1}(x)}{y}=\cfrac{3x}{2-x}[/tex]

18. What is the
scale factor?
4cm 16cm

Answers

Answer:

1:4

Step-by-step explanation:

4 ÷ 4 = 1

16 ÷ 4 = 4

4:16 ratio simplified is 1:4

Answer:

4 : 16 or1 : 4

Step-by-step explanation:

What is the

scale factor?

4cm 16cm

4 : 16

semplified

1 : 4

Which of the lines is a line of symmetry for the object ?

Answers

Answer: None of these lines

Step-by-step explanation: None of these lines, because there is no way to fold it, giving you a symmetrical object.

Q.1. What is the sum of 130+125+191?

A. 335

B. 456

C. 446

D. 426

Answers

Answer:

Step-by-step explanation:

130 + 125 + 191 = 446, so choice (C)

Hope that helps!

130+125+191(100+35)+(100+25)+100+913(100)+91+35+25300+146446

Question 2
Thank youuuu

Answers

Answer:

x=16⁰

Step-by-step explanation:

I AM NOT QUITE SURE OF THE ANSWER, but they are vertically opposite angles which in turn means that they are equal.

so you can equate the two sums they have given.

3x-3 = 2x+13

Take the numerical terms onto the right hand side and the 'x-terms' to the left hand side.

3x-2x = 13+3

That would leave you with,

x=16

Triangle A BC is similar to triangle DEF. What are the lengths of sides DF and EF?

Answers

Answer:

DF = 4

EF = 1.6

Step-by-step explanation:

The scale factor is 1.25 because 5(big shape) ÷ 4(small shape) is 1.25.

To find EF, 2÷1.25 = 1.6

Please help I don’t understand this

Answers

Answer: Two numbers have a sum of 1, 212 and a difference of 518. What are the two numbers? Let x represent one number and y represent the other number. The solution is (865,347).

Step-by-step explanation:

The film starts at 6.45 pm The film last 102 minutes what time dose the film finish

Answers

Answer:

102 minutes=1 hour and 42 minutes

6:45+1 hour and 42 minutes=8:27 p.m.

hence, the answer is 8:27 pm

hope this helped.

PLEASE HELP WILL MARK BRAINLIEST

Two angles are supplementary. The measure of one angle
is 16 more than two times the measure of the other
angle. How many degrees are in each angle?

Answers

Answer:

The angles are 54 2/3 degrees and 115 1/3 degrees

Step-by-step explanation:

make an equation for the angles x being one angle and y being the other

16+ 2x =y

Supplementary angles add to 180

x + y = 180

Fill in y with the first equation

x + 16 +2x =180

simplify

3x +16 =180

subtract 16 from both sides

3x = 164

divide both sides by 3

x = 54 2/3

Insert the value of x into the first equation then simplify

16 + 2(54 2/3) =y

16 + 109 1/3 =y

115 1/3 =y

(5.0A.B.3)
1.
Use the table below to answer questions
1 and 2.
Term
Number
1
2
3
4
6
Sequence 1
4
8
12
16
24
... ...
Sequence 2
12
24 | 36 | 48
?
2.
What

Answers

Answer:

you look at the sequence in which the pattern is moving

whats the answer to 8/9 divided by 3/8

Answers

Answer:

[tex]\frac{64}{27}[/tex]

Step-by-step explanation:

We can use the "keep-change-flip" method to divide fractions

   Keep: [tex]\frac{8}{9}/\frac{3}{8}[/tex]

Change: [tex]\frac{8}{9}*\frac{3}{8}[/tex]

      Flip: [tex]\frac{8}{9}*\frac{8}{3}[/tex]

Now we can solve by multiplying across:

[tex]\frac{8}{9}*\frac{8}{3} =\frac{8*8}{9*3} =\frac{64}{27}[/tex]

Answer:

2 10/27

Step-by-step explanation:

8/9 / 3/8 = 8x8 / 9 x 3 = 64/27

64/27 = 2 10/27

I need help please!! Please answer with an explanation steps by steps please

Answers

Answer:

send me a message I think I can help

have a nice day

Step-by-step explanation:


Write 13 3/8 as a decimal

Answers

Answer:

13.375

Step-by-step explanation:

13+3/8=13+0.375

therefore

ans

=13.375

Which linear equation can be derived from this proportion?

Answers

Answer:

You're ANSWER IS CORRECT !

( A )

Step-by-step explanation:

[tex]\frac{(x-9)(5)(x-3)}{x-3} = \frac{2(5)(x-3)}{5}[/tex]

5( x - 9 ) = 2( x - 3 ) -- cross multiply

5x - 45 = 2x - 6

OR...

2x - 6 = 5x - 45

Write 5√7 using rational exponents

Answers

Answer:

7*(5)^0,5

:D hope it helps

Find the slope

-3/5

3/5

5/3

-5/3

Answers

Answer:

-5/3

Step-by-step explanation:

We have two points on the line  ( 0,2) and ( 3, -3) so we can use the slope formula to find the slope

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

    = ( -3 -2)/(3-0)

   = -5/3

12. Rileigh plays softball. She has 12 softball
bats, 4 helmets, 20 softballs, and 6 gloves.
What is the ratio of gloves to softballs?

Answers

Answer:

3:10

Step-by-step explanation:

i did it on paper and took a test on ratios a while ago and i got this answer have a good day and i hope you get a 100 :)

Please answer the question in the picture

Answers

Answer:

It is A because rational numbers and rational expressions are closed under multiplication.

Step-by-step explanation:

Hope this helps! Please mark brainliest :)

In nearest 10th of a square centimeter.

Answers

Answer:

its be 9th of square centimeter

solve this question...

Answers

Answer:

x=3

Step-by-step explanation:

6x+5=3x+14

Group like terms:

6x-3x=14-5

3x=9

Divide both sides by 3 to get x:

x=3

On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car’s actual length, from bumper to bumper, is 16 feet. Express this ratio relationship as two different rates. Make sure to label each rate with the appropriate rate unit.

Reporting any spam or fake answers, giving 30p

Answers

8⇒    Increase in salary after you have completed the first year of your apprenticeship, if completed in line with your development objectives

Part of the British Airways apprentice network and community, with the opportunity to engage with apprentices from all schemes in the business and learn from former apprentices

Involvement in our ambitious sustainability vision, volunteering an active role to champion specific community groups including LGBTQ+ 'Flying Proud' and ethnic minority colleague network Be ME

HELP ME I NEED TO GRAPH THIS ASAP

Answers

Answer:

f(x)=-3/2x+3

Step-by-step explanation:

y intercept is 3, slope is -3/2

f(x)=-3/2x+3

Take 2 points

(0,3)(2,0)

Slope:-

[tex]\\ \rm\Rrightarrow m=\dfrac{0-3}{2-0}=\dfrac{-3}{2}[/tex]

Equation of line in point slope form

[tex]\\ \rm\Rrightarrow y-3=-3/2x[/tex]

[tex]\\ \rm\Rrightarrow y=-3/2x+3[/tex]

Which function has a vertex at (2, -9)?
O f(x) = -(x - 3)2
O f(x) = (x + 8)2
O f(x) = (x - 5)(x + 1)
f(x) = -(x - 1)(x - 5)

Answers

The function [tex]f(x)=\left(x-5\right)\left(x+1\right)[/tex] has a vertex at (2, -9).

Quadratic function

The quadratic function can be represented by a quadratic equation in the Standard form: [tex]ax^2+bx+c[/tex] where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero ([tex]a\neq 0[/tex]) and the degree of the function must be equal to 2.

For solving this question, you should find the vertex of quadratic equation (h,k). Where, [tex]h=-\frac{b}{2a}[/tex] . On the other hand, the value of the k-coordinate will be found when you replace the value of h in the equation of your question.

     1.  [tex]f(x)=-(x-3)^2[/tex]

        Write this equation in Standard form:

                          [tex]f(x)=-(x^2-6x+9)\\ \\ f(x)=-x^2+6x-9[/tex]

        Find h, using the formula  [tex]h=-\frac{b}{2a}[/tex]

             [tex]h=-\frac{b}{2a} =-\frac{6}{2*(-1)} =-\frac{6}{-2}=-(-3)=3[/tex]

        Find k, replacing x for the value of h

         [tex]-x^2+6x-9\\ \\ -(3)^2+6*3-9=-9+18-9=-18+18=0[/tex]

      The vertex of quadratic equation is (3,0). Incorrect Option.

     2.  [tex]f(x)=(x+8)^2[/tex]

        Write this equation in Standard form:

                          [tex]f(x)=x^2+16x+64[/tex]

        Find h, using the formula  [tex]h=-\frac{b}{2a}[/tex]

             [tex]h=-\frac{b}{2a} =-\frac{16}{2*1} =-\frac{16}{2}=-8[/tex]

        Find k, replacing x for the value of h

         

         [tex]x^2+16x+64\\ \\ (-8)^2+16*(-8)+64=64-128+64=128-128=0[/tex]

  The vertex of quadratic equation is (-8,0). Incorrect Option.

   3.  [tex]f(x)=\left(x-5\right)\left(x+1\right)[/tex]

        Write this equation in Standard form:

                          [tex]f(x)=(x^2+x-5x-5)\\ \\ f(x)=(x^2-4x-5)[/tex]

        Find h, using the formula  [tex]h=-\frac{b}{2a}[/tex]

             [tex]h=-\frac{b}{2a} =-\frac{-4}{2*1} =-\frac{-4}{2}=-(-2)=2[/tex]

        Find k, replacing x for the value of h

         [tex]x^2-4x-5\\ \\ 2^2-4*2-5=4-8-5=-4-5=-9[/tex]

   The vertex of quadratic equation is (2,-9). Correct Option.

   4.  [tex]f(x)=-\left(x-1\right)\left(x-5\right)[/tex]

        Write this equation in Standard form:

                          [tex]f(x)=-\left(x-1\right)\left(x-5\right)\\ \\ f(x)=-(x^2-5x-x+5)\\ \\ f(x)=-(x^2-6x+5)\\ \\ f(x)=-x^2+6x-5[/tex]

        Find h, using the formula  [tex]h=-\frac{b}{2a}[/tex]

             [tex]h=-\frac{b}{2a} =-\frac{6}{2*(-1)} =-\frac{6}{-2}=-(-3)=3[/tex]

        Find k, replacing x for the value of h

         [tex]-x^2+6x-5\\ \\ -(3)^2+6*3-5=-9+18-5=18-14=4[/tex]

The vertex of quadratic equation is (3,4). Incorrect Option.

Learn more about the vertex of the quadratic function here:

https://brainly.com/question/26203210

Help me pls and thanks

Answers

The answer is 3 1/3

Since 2/3x5 = 3.3333333333
It converts to 3 1/3
2/15 bcz 2/3 divided by 5 is 2/15
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