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1 year ago

How many solutions exist for the given equation? 12x+1=3(4x+1)-2

Mathematics

2 answers:

enyata [817]1 year ago

6 0

I got All Real Numbers (infinite answers); what's your answer choices?

vagabundo [1.1K]1 year ago

3 0

12x+1=3(4x+1)-2
12x=3(4x+1)-3
12x=12x+3-3
12x=12x

there are infinite solutions in that no matter what x is equal to, the equation will always be true (at least I think that's the answer...)

You might be interested in

Write 90 cm as a fraction of 2.4 m. Give your answer in its simplest form.

djverab [1.8K]

Answer:

$\frac{3}{80}$

Step-by-step explanation:

90 cm in metres is = 0.09 m

Writing it as a fraction of 2.4 m

=> $\frac{0.09 m}{2.4 m}$

In simplest form

=> $\frac{3}{80}$

4 0

2 years ago

A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.

qwelly [4]

A = 0.9 o
so, 
o = a/0.9 = 1.111a 
so, the orange is 11% heavier than the apple.

glad i could help(:

6 0

2 years ago

Read 2 more answers

A restaurant has a special whereby both parents can eat for $20 and each child can eat for $5. Assuming a family group consists

nordsb [41]

4groups of adults and 7 kids

5 0

1 year ago

Read 2 more answers

6 questions = 30 points someone please help me

eduard

Answer:

1)D

2)D

3)A

4)B

5)Cannot Answer - No data

6)C

7)C

6 Questions answered for 30 points.

Step-by-step explanation:

Answer for the 1st Question,

Area of a cylinder can be calculated by,

Area of the cylindrical part = $2\pi rL$

Area of the parts that cover the open parts of cylinder = $2\pi r^2$

Therefor Total are of the cylinder = $2\pi rL+2\pi r^2$

Area of the total cylinder = $2*3.14*6.8*14.2+2*3.14*6.8^2$

= $896.784$

Therefor best estimate will be D) 923 in^2

Answer for the 2nd Question,

ABC is a triangle.

By Pythagorean theorem it says,

$(AC)^2+(CB)^2=(AB)^2$

The distance from A to C = 6

The distance from C to B = 5

$(AC)^2=6^2=36$

$(CB)^2=5^2=25$

$(AC)^2+(CB)^2=(AB)^2=36+25=61$

Therefor $(AB)^2=61\\(AB)=\sqrt{61}$

Therefor Answer is D) Sqr 61

Answer to Question 3

To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)

Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.

Area of the Store 1 = $\frac{1}{2} *(110+40)*110=8250$

Area of the Store 2= $\frac{1}{2} *110*80=4400$

Therefore Revenue from Store 1 = $8250

Revenue from Store 2 = $4400

Answer is A) Store 1 has more sales revenue

Answer for Question 4

$\frac{5}{12}=0.4167\\\frac{5}{11}=0.4545$

You can straight away discard answer D because it is less than both 5/12 and 5/11.

Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)

$\frac{11}{23} =0.4782$ , therefor this is not in between those two numbers.

Then it has to be $\frac{115}{264} =0.4356$

Answer is B)

Answer for question 6

The equation of a straight line is of the form $y=mx+c$

here m is the gradient and c is the intercept.

Find the intercept(c) by finding the y value when x value is 0, here it is +1.

Gradient (m) of the graph can be found by,

$\frac{y1-y2}{x1-x2} =\frac{7-3}{3-1} =2$

Therefor the equation of the graph is,

$y=2x+1$

Answer is C

Answer for question 7

$\frac{7}{8} =0.875$

$\frac{6}{9} =0.67$

We can discard answer A because the value is close to 0.5

We can discard answer B because 3/17 is a very small value (0.17)

$\frac{53}{72} =0.73$ , This falls between the above 2 numbers.

Therefor answer is C

5 0

2 years ago

A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3. Also, the sum

kap26 [50]

Answer:

3rd graph down

Step-by-step explanation:

greens are x and carrots are y in my equations

2x - y >= 3

x + 2y < 4

The first equation is solid and will highlight everything to the right of it because it is a >

the second is dashed and will highlight everything to the left of it because it is a <

the only 2 graphs that show this are 1 and 3

looking at the points you can see that the points for the solid line are both the same so ignore those and go to the dashed lined ones.

on the first graph the points are (0,4)

plugging those into our equation gives us 0 + 2*4 <4

or 8<4 which doesnt make sense making 3 the correct graph

(sorry my answer wasnt posting so i had to start over and make it less detailed, but comment if you need any explanation)

4 0

2 years ago

Read 2 more answers