Which linear equations have an infinite number of solutions? Check all that apply.


(x – 3\7) = 2\3 (3\2x – 9\14 )

8(x + 2) = 5x – 14

12.3x – 18 = 3(–6 + 4.1x)

1\2(6x + 10) = 7(3\7x – 2)

4.2x – 3.5 = 2.1 (5x + 8)

Answers

Answer 1

Answer:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

A linear equation can be said to have an infinite number of solutions when the number of the right hand side is the same at the number on the left hand side of the equation.

For example:

2 = 2 or x = x or 0 = 0

Solving the question above:

Which linear equations have an infinite number of solutions? Check all that apply.

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

x - 3/7 = 6x/6 - 18/42

x - 3/7 = x - 3/7

Collect like terms

x - x = -3/7 + 3/7

0 = 0

The linear equation in option a has an infinite number of solutions

b) 8(x + 2) = 5x – 14

8x + 16 = 5x - 14

Collect like terms

8x - 5x = -14 - 16

3x = -30

x = -30/3

x = -10.

The linear equation in Option b has a true solution.

c) 12.3x – 18 = 3(–6 + 4.1x)

12.3x - 18 = -18 + 12.3x

Collect like terms

12.3x - 12.3x = -18 + 18

0 = 0

The linear equation in Option c has infinite number of solutions

d) 1\2(6x + 10) = 7(3\7x – 2)

6x/2 + 5 = 21/7x - 14

3x + 5 = 3x - 14

Collect like terms

3x - 3x = -14 - 5

0 = -19

The linear equation Option d has no solution

e) 4.2x – 3.5 = 2.1 (5x + 8)

4.2x - 3.5 = 10.5x + 16.8

Collect like terms

4.2x - 10.5x = 16.8 + 3.5

-6.3x = 20.3

x = -20.3/6.3

x = -3.22

Hence, the linear equation in Option e has a true solution

Therefore, the linear equations have an infinite number of solutions are:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Answer 2

Answer(x – 3\7) = 2\3 (3\2x – 9\14 ) and (12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:


Related Questions

James paid 13.20 for 12 mangoes. For every 5 mangoes that he bought he got one mango free. Mary wants to by 4 mangoes from the same shop. She only has $5.10. How much more money does she need

Answers

Answer:

Mary needs $0.18 more

Step-by-step explanation:

12 mangoes = $13.20

For every 5 mangoes that he bought he got one mango free

This means he bought 10 mangoes (5 mangoes + 1 free mango the first time and 5 mangoes + 1 free mango the second time)

If James paid $13.20 for 10 mangoes, then

Each mango cost = $13.20 / 10

= $1.32

Each mango cost $1.32

Mary wants to by 4 mangoes from the same shop.

Total cost of 4 mangoes = $1.32 × 4

= $5.28

She only has $5.10.

How much more money does she need

Amount needed more = Total amount required - total amount available

= $5.28 - $5.10

= $0.18

Mary needs $0.18 more

uhh yeahh don't know lol ...

Answers

Answer:

for first blank its 1/3 and second blank is 5

Step-by-step explanation:

Answer:

y=-1/3x+5

Step-by-step explanation:

BRAINLIEST PLS

In Tallahassee, Florida, CR 373 intersects non-parallel streets CR 363 and Monroe Street. Which locations/structures represent consecutive (same side) interior angles? Select all that apply.
Fast Food 2 and the Park

the Lake and the Post Office

the Apartments and Fast Food 1

Fast Food 2 and the Grocery Store

the Apartments and the Post Office

the Big Box Store and the Grocery Store

Answers

Answer:

Option (3)

Step-by-step explanation:

Option (1)

Fast food 2 and the Park → Consecutive exterior angles

Option (2)

The lake and the Post office→ Consecutive exterior angles

Option (3)

The Apartments and Fast food 1 → Consecutive interior angles

Option (4)

Fast food 2 and the Grocery store → Linear pair of angles

Option (5)

The Apartments and the Post office → Linear pair of angles

Option (6)

The Big Box Store and the Grocery Store → Consecutive interior angles

Therefore, Option (3) and Option (6) will be the correct options.

WILL MARK brainliset answer if gotten right

Answers

Answer:

Line segment PN

Step-by-step explanation:


Solve the equation 3x = 2x +5.
What can you do to isolate the variable on one side of
the equation?
What is the solution?

Answers

Subtract 2x from both side
X = 5
The solution is 5

Answer:

1. C

2. D

Step-by-step explanation:

In that order

X 2.2.PS-15
Challenge The price of Stock A at 9 A.m. was $12.96. Since then, the price has been increasing at the
rate of $0.11 each hour. At noon the price of Stock B was $13.46. It begins to decrease at the rate of
$0.12 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the
same?
In how many hours will the prices of birch stocks be the same?

Answers

Answer:

$6.36 would be your answer ̄へ ̄

Answer: 0.56 round to the nearest tenths which is 6. So, it’s $6

Step-by-step explanation:

Can someone solve all these answers for this polynomials worksheet?

Answers

Answer:

2. 4

3. 5

4. 8

5. 9

6. 1

7. 6

8. 5

9. 7

10. 2

Step-by-step explanation:

Count the number of terms for each.  Alternately, count the number of "+" and "-", and add 1.

Which statement is true? Select all that apply
The relationship is proportional.
The slope is -6.
The slope is negative.
The y-intercept is -3.
The equation of the line is y = -3x.

Answers

1. The relationship is proportional.
2. The slope is negative.
3. The equation is y = -3x

what relations are functions?

Answers

Answer:

all

Step-by-step explanation:

because they all got x and y

Answer:

A and C

Step-by-step explanation: cause of that rule that says there is only one output for every input also for graphs you can use see if there are two points on a line then its not a function that's why D isn't cause there are two on X axis (2,-1) and (2,1) :))

30 workers can complete a work in 40 days in how many days would 20 men complete the construction​

Answers

Answer:

27

Step-by-step explanation:

(30 workers/40 days) = (20 workers/x days) cross multiply

30*x=40*20 divide by 30 both sides

x= 800/30

x≈26.67

So they will need 27 days

Help please! The division Axiom would allow us to say which two angles are equal?

Answers

Answer:

The correct option is;

(3) ∠ADB and ∠BDC

Step-by-step explanation:

From the division axiom, we have;

(a+a)/a = 2·a/a = 2

The given parameters are;

m∠ADC = m∠ABC

[tex]\overline {BD}[/tex] bisects ∠ADC and ∠ABC

Therefore;

∠ADB ≅ ∠BDC

∠ABD ≅ ∠CBD

Therefore;

∠ADB/∠CBD = ∠BDC/∠ABD

Given that m∠ADC = m∠ABC and ∠CBD = 1/2 × m∠ABC = 1/2 × m∠ADC = ∠ABD, we are allowed to say, ∠ADB and ∠BDC are equal.

The table represents a linear function. WhT is the slope of the function?

Answers

Answer

The slope of the function is 5.

Step-by-step explanation:

A certain shade of paint is made by mixing 8 parts blue paint with 3 parts
white
paint. To get the correct shade, how many quarts of white paint should be mixed
with 64 quarts of blue paint?

Answers

Answer:

15 quarts

Step-by-step explanation:

What is the speed of a cheetah that travels 116 m in 3.0seconds

Answers

It would be 38 1/3 38.333 repeating.
This is because speed= distance/time

Answer:

38.6666666667

Step-by-step explanation:

speed = distance/time.

Time: 3.0

Distance: 116 miles.

116/3.0 = 38.6666666667.

Q1W7 Learning Task 1 (Introduction)
Factoring Polynomials

On the chart below, find a factor in Column B of each of the given polynomials in Column A using the Factor Theorem.
Column A
1. x² + 6x + 8
2. x³ - 7x + 6
3. x³ - 2x² - 5x + 6
Column B
x-3
x-1
x+2
x+3
x+1

Answers

Answer:

Column A                                            Column B

1. x² + 6x + 8                                        x-3,x+2

2. x³ - 7x + 6                                       x+1, x+2, x+3

3. x³ - 2x² - 5x + 6                              x-1, x+2, x-3

Step-by-step explanation:

Column A                                            Column B

1. x² + 6x + 8                                        x-3,x+2

2. x³ - 7x + 6                                       x+1, x+2, x+3

3. x³ - 2x² - 5x + 6                              x-1, x+2, x-3

Using Factor theorem we put values of x = ±1,±2,±3 in each of the polynomials unless we get a zero.

1. x² + 6x + 8      

= 1+6(1) +8= 15

1. x² + 6x + 8

  4+ 12+8 = 24

1. x² + 6x + 8

 (-1)² + 6(-1)+ 8

= 1-6+8= 3

1. x² + 6x + 8

 (-2)² + 6(-2)+ 8

= 4-12+8= 0

1. x² + 6x + 8

(3)²+ 6(3) +8

= 9+18+8 ≠ 0

1. x² + 6x + 8

(-3)²+ 6(-3) +8

= 9-18+8 =-1

For this polynomial we have x+2= 0 or x=-2, x-3= 0 , x=3

2. x³ - 7x + 6

1-7+6= 0

2. x³ - 7x + 6

(-1)³-7(-1) +6

= 13-1≠0

2. x³ - 7x + 6

(2)³-7(2) +6

= 8-14+6= 0

2. x³ - 7x + 6

(-2)³-7(-2) +6

= -8 +14+6

2. x³ - 7x + 6

(-3)³-7(-3) +6

= -27+21+6 = 0

For this polynomial we have x+1= 0 , x+2 = 0  and x+3= 0, or x=-1,-2,-3

3. x³ - 2x² - 5x + 6

(1)³-2(1)²-5(1)+6

= 0

3. x³ - 2x² - 5x + 6

(-1)³-2(-1)²-5(-1)+6

= -1 -2 +5+6

=8

3. x³ - 2x² - 5x + 6

(2)³-2(2)²-5(2)+6

= 8-8-10+6

=-4

3. x³ - 2x² - 5x + 6

(-2)³-2(-2)²-5(-2)+6

= -8-8+10+6

=0

3. x³ - 2x² - 5x + 6

(3)³-2(3)²-5(3)+6

= 27-18-15+6

=0

3. x³ - 2x² - 5x + 6

(-3)³-2(-3)²-5(-3)+6

= -27-18+15+6

=-14

For this polynomial we have x-1= 0 ,x+2=0, x-3= 0or x=1,-2,3

PLS , help me asap :(( , im so frustrated , idk how to do these :c

Answers

Answer:

y intercept = 5

Step-by-step explanation:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Answer:

Step-by-step explanation:

i don't want to make u mad but i'm taking a test with that same question and i got 29.25 but i'm also not the smartest

Help me find D please

Answers

Answer:

21 deg

Step-by-step explanation:

3x + 5x - 2 + 18x = 180 deg (sum angles of triangle)

26x = 182 deg

x = 7 deg

angle D = 3x = 3 x 7 = 21 deg

Find the slope of the line y = 8/3x - 1/3 simplify your answer.

Answers

Answer:

8/3

Step-by-step explanation:

Slope:  

8 /3

y-intercept:  

( 0 , − 1 /3 )

Step-by-step explanation:

What is the solution to the equation?
3 + 3x – 5 = r
A.
-2 and -7
B.
2 and 7
O c.
-2
D. 7

Answers

Answer: -2 and -7 i think
A -2 and -7 is the answer

Multiply: (5.8 x 10^-6) x (2 x 10^4).

Answers

Answer:

[tex]1.16*10^{-1}[/tex]

Step-by-step explanation:

[tex](5.8*10^{-6}) *(2*10^{4})\\=11.6*10^{-2}\\=1.16*10^{-1}[/tex]

1/3(6x-5)-x = 1/3-2(x+1)
Value of X

Answers

Answer:

x=0

Step-by-step explanation:

do you need work? I did it in my head

Answer:

x=5/24

Step-by-step explanation:

2x-\frac{5}{2}=-2x-\frac{5}{3}  Then add 5/2 to both sides 2x-\frac{5}{2}+\frac{5}{2}=-2x-\frac{5}{3}+\frac{5}{2}  simplify 2x=-2x+\frac{5}{6} add 2x to both sides  2x+2x=-2x+\frac{5}{6}+2x simplify  4x=\frac{5}{6}   divide both sides by 4 \frac{4x}{4}=\frac{\frac{5}{6}}{4} simplify then u get x=5/24

1 is 25% of what number

Answers

Answer:

4

Step-by-step explanation:

because 25% times 4 makes 100 so it is 4

Help please :((((((((((((((

Answers

Step-by-step explanation:

connect the points p and s

and comnect the points q and t

take triangle PQS and triangle TSQ

SQ similar to SQ

PQ similar to QS

QS similar to ST

therefore triangle PQS similar to triangle TSQ

Therefore , PQ/ QS = ST/ QS

PQ=ST

Esmeralda works in the snack bar at the movie theater. She serves popcorn in two sizes, small and giant. The dimensions of the small box of popcorn are similar to the dimensions of the giant box of popcorn.





What is x when the width of the small box is 4 inches? Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

6.7

HELP ME PLEASE IT'S DO RIGHT NOW***

Answers

Answer:

[tex]x^{2} -121[/tex] goes with (x+11)(x-11)

[tex]x^{2} +121[/tex] does not have a solution/answer

[tex]16x^{2} -25[/tex] goes with (4x+5)(4x-5)

[tex]25x^{2} -16[/tex] goes with (5x+4)(5x-4)

[tex]x^{2} -50[/tex] does not have a solution/answer

[tex]x^{4}-64[/tex] goes with [tex](x^{2} +8) (x^{2} -8)[/tex]

[tex]x^{2} -144[/tex] goes with (x+12) (x-12)

Step-by-step explanation:

its factoring

Look at terms if it has a perfect squared number or a negative sign. Hope this helps

Probably really easy and I’m just overthinking it but please help me

Answers

42 divied by 3kg the after you get that answer then multiply that by 4kg

Step-by-step explanation:

3 kg of rump steak = £ 42

So, 1 kg of rump steak = £ 42/3 = £ 14

So, 4 kg of rump steak = £ 14 × 4 = £ 56

Will give brainliest if correct.

Answers

Answer:

y = -5x - 10

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

Now, in your case:

5x + y = -10

Move 5x (don't forget to change the signs!):

y = -5x - 10

Hope this helps!

An element's identity is determined by the number of

Answers

Answer:

number of protons

Step-by-step explanation:

The identity of an element is determined by the number of protons. One cannot alter the number of protons without altering the identity of the element. By adding a proton, the atomic number increases by one and the element identity changes. Number of neutrons can be altered to create isotopes.

A slide 15 feet long makes an angle of 330 with its vertical ladder. To the
nearest foot, how tall is the slide?

Answers

Answer:

13ft

Step-by-step explanation:

Kindly find attached a rough draft of the situation.

Step one:

Given data

The length of the slide represents the

Hypotenuse of the situation on the rough sketch

Angle =33°

Required

The height of the ladder which is the adjacent of the rough sketch represented by x

Step two:

Applying SOH CAH TOA

Cos θ= adj/hyp

Cos 33=x/15

0.84=x/15

Cross multiplying

x=0.84*15

x=12.6

To the nearest foot the ladder is 13ft tall

Can someone explain this to me if you can.​

Answers

Answer: I wish I can help, but I don't know how to explain it

So basically they are asking you to find what 2 1/3 is in a money amount and the answer is going to be negative because the productions are decreasing
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