Which equations have infinitely many solutions? select all the correct
A x - 3x =-2x + 4
B x = 1/3 (3x) = 0
C 1/3x - 3 = 4 + 2x
D x = 1/3x + 2=0

Answer:

(2 x - 1) (x + 1) (x - 3)

Step-by-step explanation:

Factor the following:

2 x^3 - 5 x^2 - 4 x + 3

Hint: | Find all linear factors of 2 x^3 - 5 x^2 - 4 x + 3 via the rational root theorem. Do this by finding rational roots. The candidates are x = ± p/q for all p that are divisors of the constant term 3 and for all q that are divisors of the leading coefficient 2.

The possible rational roots of 2 x^3 - 5 x^2 - 4 x + 3 are x = ± 1/2, x = ± 3/2, x = ± 1, x = ± 3. Of these, x = 1/2, x = -1 and x = 3 are roots. This gives 2 x - 1, x + 1 and x - 3 as all factors:

Answer: (2 x - 1) (x + 1) (x - 3)

Answer:

220g/cm³

Step-by-step explanation:

Given parameters:

  Mass of the weight = 220000g

  Volume  = 1000cm³

Unknown:

Density of weight = ?

Solution:

Density is the mass per unit volume of a substance.

Mass is the amount of matter in a substance.

Volume is the amount of space a substance occupies

        Density  = [tex]\frac{mass}{volume}[/tex]

Input the parameters and solve

        Density  = [tex]\frac{220000}{1000}[/tex]  = 220g/cm³

Answer: B) The value of s(x) depends on the value of x, since s is a function of x.

It's similar to f(x) or g(x) function notation, but now we're using the letter s.

The x is the input of the function. The output is s(x). So that's why s(x) depends on x.

Answer:

Step-by-step explanation:

240/15 is 16 projects per day

Answer:

16 projects per day

Step-by-step explanation:

Take the number of projects and divide by the number of days

240/15

16 projects per day

Answer:

Step-by-step explanation:

m2 + 3m + 2

m2 + m + 2m + 2

m (m + 1) + 2(m + 1)

(m + 1) and (m + 2) are the factors

Answer:

The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.

Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.

You can see the image below, where i did a rough sketch of the problem.

in the image, you can see that the sides of this rectangle are the ones formed by the pairs:

(-4,3) and (-2, 8)

(-2, 8) and (2, 5)

(2,5 ) and (1, -7)

(1, - 7) and (-4, 3)

Now let's calculate the length of each side.

Remember that when we have two points (a, b) and (c, d) the distance is:

D = √( (a - c)^2 + (b - d)^2)

Now we need to calculate four distances:

(-4,3) and (-2, 8)

D1 = √( (-4  + 2)^2 + (3 - 8)^2) = 5.39

(-2, 8) and (2, 5)

D2 = √( (-2  - 2)^2 + (8 - 5)^2) = 5

(2,5 ) and (1, -7)

D3 = √( (2  - 1)^2 + (5 + 7)^2) = 12.04

(1, - 7) and (-4, 3)

D4 = √( (1  +4)^2 + (-7 -3)^2) = 11.18

Now we add those four distances to get the perimeter:

P =  5.39 + 5 + 12.04 +  11.18 = 33.61

And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:

p = 37

Answer:

34

Step-by-step explanation:

Plugin 12 for x

f(12)=4+2.5(12)

2.5 times 12=30

30+4=34

Answer:

addition of property of equation

Step-by-step explanation:

You have to move the -3 by adding it to both sides and since the other number is negative you get 1

Answer:

Addition property of equality

Answer:

-5 7

6 -3

-9 1

Step-by-step explanation:

im so sorry if im wrong don't sew meh

Answer:

Did this help??

Step-by-step explanation:

a.) 5x = m

5x = you and four friends.

m = money for food

b.) Plug in

5(5.25) = m

26.25 = m

Answer:13.D      14.C

Step-by-step explanation:

Answer:

It is A

Step-by-step explanation:

Answer:

Literal equation is a consists letters of primarily.

Step-by-step explanation:

Hopes that helped :)

Answer:

its 10

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

y is proportional to x when it satisfies the equation ...

  y = kx

where k is the constant of proportionality. The equation can be solved for k by dividing by x:

  k = y/x

The value of k for the given relation is ...

  k = (320 mL)/(20 s)

  k = 16 mL/s . . . the constant of proportionality

Then the equation is ...

  y = 16x

the answer to your question is 4

Answer:

yeah it is 4 i got it right

Step-by-step explanation:

Answer:

y = x + 2

Step-by-step explanation:

Answer:

60°

140°

Step-by-step explanation:

From the given figures,

 a. we use the concept of alternate angles.

   Two parallel lines cut by a transversal will have equal alternate angles;

  So;

       6x + 12 = 7x + 4

    collect like terms and solve for x;

     6x - 7x = 4 - 12

         -x = -8

         x = 8

Now, 6x + 12 = 6(8) + 12

                     = 48 + 12

                     = 60°

b. Here we use alternate angles and angles on a line;

     4x is an alternate angle to that angle to the left of 13x + 10

And sum of angles on a line = 180

    4x + 13x + 10 = 180

        17x = 170

          x = 10

Now,  13x + 10 = 13(10) + 10 = 140°

Answer:

4 dollars to get 1 yard

Step-by-step explanation:

See attachment for math work and answer.

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

Work Shown:

If you save 40%, then you pay 100% - 40% = 60% of the original price

final price = 60% of original price

final price = 0.60*(original price)

840 = 0.60x

0.60x = 840

x = 840/0.60

x = 1400

The ring was originally £1400 before the discount.

Given:

She is required to read a total = [tex]10\dfrac{5}{6}[/tex] hours a week.

Monday she read [tex]1\dfrac{1}{3}[/tex] hours.

Tuesday she read [tex]\dfrac{3}{4}[/tex] of an hour.

Thursday she read 3 hours.

To find:

The total hours does she still need to read in order to get full credit.

Solution:

Total time = [tex]10\dfrac{5}{6}[/tex] hours a week.

Total time she already read [tex]=1\dfrac{1}{3}+\dfrac{3}{4}+3[/tex] hours

                                              [tex]=\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3[/tex] hours

                                              [tex]=\dfrac{4}{3}+\dfrac{3}{4}+3[/tex] hours

                                              [tex]=\dfrac{16+9+36}{12}[/tex] hours

                                              [tex]=\dfrac{61}{12}[/tex] hours

Now,

Remaining time = Total time - Total time she already read

                         [tex]=10\dfrac{5}{6}-\dfrac{61}{12}[/tex]

                         [tex]=\dfrac{65}{6}-\dfrac{61}{12}[/tex]

                         [tex]=\dfrac{130-61}{12}[/tex]

                         [tex]=\dfrac{69}{12}[/tex]

                         [tex]=\dfrac{23}{4}[/tex]

                         [tex]=5\dfrac{3}{4}[/tex]

Therefore, the required time is  [tex]5\dfrac{3}{4}[/tex] hours.

Answer:

y=-2x+10

Step-by-step explanation:

slope intercept is written as y=mx+b

the slope or m is -2 and using the slope we can calculate a y-intercept or b of 10.

hope this helps!

Answer:

y=-2x+10

Step-by-step explanation:

Hello there!

First the equation of a line is y=mx+b (m is the slope and b is the y-intercept)

Plugging in the formula, the problem already gives you the slope, which is -2, so y=-2x+b

Next, we have to find the y-intercept! We have a pair, (8,-6), so we can plug that into the current equation we have:

-6 = -2*8 + b

-6 = -16 + b

(add 16 to both sides)

10 = b (or b=10)

Now that we have all of the parts we need, our answer will be y=-2x+10

Hope this helped!

Answer:

i

Step-by-step explanation:

dk

Answer:

Option (C)

Step-by-step explanation:

Two statements given in the question are,

p: Memorial Day is in July

q: Parallel lines never intersect

We have to tell the represent the symbolic notation of the compound statement,

"Memorial Day is in July or parallel lines intersect"

Here word 'Or' is combining these statements.

We know word 'Or' means Disjunction which is denoted by the symbol (∨).

So the compound statement will be denoted by p ∨ q.

Option (C) will be the answer.