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scoray [572]
3 years ago
14

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

Mathematics
1 answer:
lubasha [3.4K]3 years ago
6 0

Answer:

3=3 infinity many solutions

Step-by-step explanation:

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

3x4x   3x1

12x+1=12x+3-2

   +2            +2

12x+3=12x+3

-12x      -12x

3=3

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59. What happens to the graph of y = |x| when the equation changes to y = |x + 4? A The graph shifts up 4 units. The graph shift
marishachu [46]

Answer: Graph shifts 4 units to the left

Explanation:

I'm assuming you meant to say y = |x+4|

If so, then the graph shifts 4 units to the left. Replacing x with x+4 moves the xy axis 4 units to the right if we held the V shape in place (since each x is now 4 units larger). This gives the illusion the V shape is moving 4 units to the left.

Or you could look at the vertex point to see how it moves. On y = |x|, the vertex is at (0,0). It then moves to (-4,0) when we go to y = |x+4|

8 0
3 years ago
box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box (in cm) that minimize the am
Naya [18.7K]

Answer:

Hence the width, length is 20 cm and height is 10 cm

Step-by-step explanation:

Since the box has a square base, let length = width = x. Also, let the height = y, therefore:

The volume of box = width * length * height

4000 = x * x * y

4000 = x²y

y=4000/x²

The surface area (SA) = area of the base + sum of the area of each side

SA = x² + xy + xy + xy + xy

SA = x² + 4xy

substitute y = 4000/x²

SA = x² + 4x(4000/x²)

SA = x² + 16000/x

Taking the derivative:

SA' = 2x - 16000/x²

making SA' = 0:

0 = 2x - 16000/x²

2x = 16000/x²

2x³ = 16000

x³ = 8000

x = 20 cm

y = 4000 / x² = 4000 / 20² = 10 cm

Hence the width, length is 20 cm and height is 10 cm

6 0
3 years ago
What is The 2+21+221:22​
Oksanka [162]

Answer:

33.0454545455

Step:

2+21+221:21

23+(221:22)=

23+10.045454545=

33.0454545455

8 0
3 years ago
A point on the rim of a wheel has a linear speed of 33 cm/s. If the radius of the wheel is 50 cm, what is the angular speed of t
Zigmanuir [339]

Answer:

The angular speed of the wheel in radians per second is 0.66.

Step-by-step explanation:

Recall the following statement:

A linear speed (v) is given by,  

v=\omega \times r                       ...... (1)

Here,  \omega represents the angular speed of the wheel and <em>r</em> represents the  radius of the wheel.

From the given information:

Linear speed (v) = 33 cm/s

Radius of the wheel (r) = 50 cm

Now to find the angular speed in radian per second.

33 =50 \times \omega

Divide both sides by 50.

0.66 rad/sec= \omega

Hence, the angular speed of the wheel in radians per second is 0.66.

4 0
3 years ago
A handy man charges $40 an hour plus the cost of materials. Rosanne received a bill from the handyman for $477 for 8 hour of wor
djverab [1.8K]
Should be something like 40(8)+ ?= 477$
5 0
3 years ago
Read 2 more answers
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