Is 4 - 4x and 4(1 - x) equivalent expressions? Why or why not?

Step-by-step explanation:

If two lines have the same slope and the same y-intercept, there are infinite solutions.

If two lines have the same slope and different y-intercepts, there are zero solutions.

Otherwise, if the two lines have different slopes, then there is one solution.

The slope of the first line is 3/8.  The slope of the second line is 16/32 = 1/2.  The slopes are different, so there is only one solution.

The solution of the given system of equations is (x, y) = (8.75, 2).

Given: System of equations

3x - 8y = 10                           …(1)

16x - 32y = 75                       …(2)

Consider equation (2).

⇒ 16x - 32y = 75

Dividing both sides by 16, we get:

⇒ x - 2y = 75/16

⇒ x = 2y + 75/16                  …(3)

Now, substitute the value of x = 2y + 75/16 in equation (1), we get:

⇒ 3(2y + 75/16) - 8y = 10

⇒ 6y + 225/16 - 8y = 10

⇒ 2y = 225/16 - 10

⇒ 2y = (225 - 160)/16

⇒ 2y = 65/16

⇒ y = 65/32

⇒ y ≈ 2

Now, put the value of y = 65/32 in equation (3), we get:

⇒ x = 2(65/32) + 75/16

⇒ x = (65/16) + (75/16)

⇒ x = 140/16

⇒ x = 8.75

Therefore, the solution for the given simultaneous equation is;

(x, y) = (8.75, 2)

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Answer:

-2+31

Step-by-step explanation:

conjugate in simple terms is that it is taken in opposite sign.

for example the conjugate of [tex]5+\sqrt{2}\\[/tex]  is [tex]5-\sqrt{2}[/tex]

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Answer:

a=35

b=20

Step-by-step explanation:

a+b =55

a=b+15

b+15 +b =55

2b=55 - 15

2b=40

b=40 :2

b=20 (the smallest number)

a=20 +15 =35 (the largest number)

Step-by-step explanation:

55=x+15

-15     -15

40=x

Hope it helps!

Answer:

They're parallel because the first part of the equations have the same numbers/variables (can see down below in bold). This tells us whether or not it's parallel. There's no need for any calculations due to this.

5x - 2y = 2

and

5x - 2y = 8

The answer of the equations doesn't affect it, only is they're the same number. Then it becomes overlap.

For Example:

5x - 2y = 9

and

5x - 2y = 9

they're the same, meaning overlap.

Answer:

The youngest brother is James and his age is 18 Years.

Step wise explaination:

Lets suppose,

age of James = x

age of Brandon = 2x

age of Marshall = 2x - 11

The sum of ages of three brothers = 79

now,

finding the value of x,

x + 2x + 2x - 11 = 79

or, 5x - 11 = 79

or, 5x = 79 + 11

or, 5x = 90

or, x = 90

5

so, x = 18.

Then,

age of James = 18.

age of Brandon = 2×18 = 36.

age of Marshall = (2×18) - 11 = 25.

Therefore,

The youngest brother is James and his age is 18 Years.

Answer:

$3.78

Step-by-step explanation:

$1.79+$1.99=$3.78

Answer:

$3.78

Step-by-step explanation:

true

Answer:

Look at the graph for help

Step-by-step explanation:

if you need to graph us desmos graphing its free just plug in you cordinates

Answer:

The answer is

Step-by-step explanation:

The length of the segment connecting two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(1,3) and B(6,5)

The length is

[tex] |AB| = \sqrt{ ({1 - 6})^{2} + ({3 - 5})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 2})^{2} } \\ = \sqrt{25 + 4} \\ = \sqrt{29} [/tex]

We have the final answer as

[tex] \sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units[/tex]

Hope this helps you

Answer:

IMS aka infintely many solutions :)

Step-by-step explanation:

2x+4(x-6)=3(2x-8)

distribute

2x+4x-24=6x-24

combine like terms

6x-24=6x-24

carry across equal sign

6x=6x

carry across equal sign

0=0 aka IMS

Answer:

No solutions I think

Step-by-step explanation:

2x + 4(x -6) = 3(2x -8)

2x + 4x -24 = 6x - 24

6x - 24 = 6x - 24

-6x +24  -6x +24

0 = 0

Hopefully this helped :)

Answer:

Third option: [tex]-10x^7y^2[/tex]

Step-by-step explanation:

[tex]12x^4\left(-\frac{5}{6}x^3y^2\right)[/tex]

Remove brackets:

[tex]12x^4\times-\frac{5}{6}x^3y^2[/tex]

Multiply the [tex]x^2[/tex]:

[tex]12\times-\frac{5}{6}x^{4+3}\times y^2[/tex]

[tex]12\times - \frac{5}{6}x^7y^2[/tex]

Multiply:

[tex]-\frac{5\times \:12x^7y^2}{6}[/tex]

[tex]-\frac{60x^7y^2}{6}[/tex]

Divide:

[tex]-10x^7y^2[/tex]

Answer:

the answer to your question is -10(x^7) (y^2)

Answer:

equation calculator help u out

Answer:

y = 27.5

Step-by-step explanation:

120 (x) - 55 (y) = 65

65 / 2 = 32.5

60 - 32.5 = 27.5

x = 60 and y = 27.5

I really hope this helps...

Here

mass = 3g

volume = 1 cm³

we know

density = mass/ volume

            3/1 = 3g/cm³

Answer:

No

Step-by-step explanation:

Even though he has a 1/6 chance of rolling it he still has a 16.67% percent chance

Answer:

here's the sample answer!

Jamie is not correct. No matter how many times the cube is rolled, the probability of rolling a 5 will be 1/6.

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3,-12) and (3,-8)

The distance between them is

[tex] |EF| = \sqrt{( {3 - 3})^{2} + ({ - 12 + 8})^{2} } \\ = \sqrt{ {0}^{2} + ({ - 4})^{2} } \\ = \sqrt{16} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

Hope this helps you

Answer: 4

Step-by-step explanation: 8-12=4

Decimal Answer: 7.23

Step-by-step explanation: 7+23/100 = 7.23

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Given :

Mr. Rivera pours 2 cups of blue paint into a jar for each art station.

1 cup = 8 ounces.

1 gallon = 128 ounces.

To Find :

How many jars can  he fill with 1 gallon of blue paint.

Solution :

Since, a jar is filled with 2 cups.

1 jar = 2 × 8 = 16 ounces.

So, number of jars required to fill 1 gallon of blue paint is :

[tex]n=\dfrac{128}{16}\\\\n=8[/tex]

Therefore, 8 jars are required to fill 1 gallon of blue paint.

Hence, this is the required solution.

Answer:

The correct answer is (D) 4

Step-by-step explanation:

Hopes this helps!

Answer:

(D) 4

Step-by-step explanation:

6/7

÷

3/14

=  

6/7

×

14/3

=  

6 × 14

7 × 3

=  

84/21

=  

84 ÷ 21

21 ÷ 21

=  4

Answer:

13 seconds

Step-by-step explanation:

It goes down by 50. So it goes 650 600 550 500 450 400 350 300 250 200 150 100 50 0

Answer:

answer is b juicy how to do it

Answer:

here's your answer

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

158

Step-by-step explanation:

If I is the midpoint of JH, JI= IH

JH= JI +IH

JH= JI +JI (subst. IH= JI)

JH= 2(JI)

Since JI= 79,

JH= 2(79)

JH= 158

Answer:

1) 21

2) -10

3)10

4)50

5) 3,700

Answer:

18

Step-by-step explanation:

58 - |-40| =

58 -40=

18

Answer:

18

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| a | = | - a | = a

Given

58 - | n | , substitute n = - 40

58 - | - 40 |

= 58 - 40

= 18

please give brainlist

in the way you wrote it the answer would be

1

_ ----

3

but but if you meant to do it backwards 7/15 and 2/15 the answer will 1

-----

3

hope this helped