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Inessa05 [86]
2 years ago
7

1/2(4x+12)=12 what is x?

Mathematics
1 answer:
aleksley [76]2 years ago
6 0
The answer to this equation is 3
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Find the constant of proportionality k. Then write an equation for the relationship between x and y.
egoroff_w [7]

Answer:

k= 5

Equation is: y=5x

3 0
2 years ago
Whats the extreme value?y=3(x+5)^(2)-4
natta225 [31]

Answer:

-4

Step-by-step explanation:

  • y = 3(x+5)²-4
  • y= 3(x²+10x+25)-4
  • y= 3x²+30x+75-4
  • y= 3x²+30x+71

Derivate the function

  • y' = 6x+30

solve the equation y'= 0

  • y'= 6x+30
  • 6x+30= 0
  • 6x= -30
  • x = -5

The extrme value of y is reached in -5

y = 3(-5+5)²-4= -4

6 0
2 years ago
A deep sea diver started at sea level (0 feet) and dove at a rate of 5.6 feet per minute. If the diver dove for ½ hour, what rat
Leona [35]

Given:

A deep sea diver started at sea level (0 feet).

Rate of diving = 5.6 feet per minute.

Time = \dfrac{1}{2} hour

To find:

The rational number that represents his position relative to sea level.

Solution:

We know that,

1 hour = 60 minutes

\dfrac{1}{2} hour = 30 minutes

A deep sea diver, dove at a rate of 5.6 feet per minute.

Distance covered in 1 minute = 5.6 feet

Distance covered in 30 minute = 30 × 5.6 feet

                                                    = 168 feet

The diver dove 168 feet in \dfrac{1}{2} hour. Since it is below the sea level, therefore it should be negative.

So, the rational number that represents his position relative to sea level is -168 feet.

Therefore, the correct option is D.

5 0
3 years ago
1/6 + 3/8 <br> A. 4/6<br> B. 4/8 <br> C. 4/14<br> D. 13/24
Naddika [18.5K]

Here is you're answer:

In order to get you're answer you need to find the common denominator then add.

  • \frac{1}{6} + \frac{3}{8}
  • Find the common denominator:
  • CD = 48
  • = \frac{26}{48}
  • Simplify:
  • \frac{26}{48} \div 2 = \frac{13}{24}
  • = \frac{13}{24}

Therefore you're answer is option D "13/24."

Hope this helps!

8 0
2 years ago
The density of a fish tank is 0.3 fish over feet cubed. There are 15 fish in the tank. What is the volume of the tank?
ale4655 [162]
Since Density = mass/ volume (d = m / v), and assuming the 15 fish weigh 1 gram each - if weight of each fish isn't given -  (making that a total of 15 grams), 

D = m / v
0.3 = 15 / v 
v = 15 / 0.3 = 50 ft cubed

Hope this answers your question correctly :) 

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5 0
2 years ago
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