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ZanzabumX [31]
4 years ago
9

What is the domain and range of the function y equals square root of 4 x plus 12 end root?

Mathematics
1 answer:
nikdorinn [45]4 years ago
6 0

Answer:

Step-by-step explanation:

The function written symbolically is

f(x) = y = √(4x + 12)

Domain:  Since 4x + 12 must be ≥ 0, x must be ≥ -3.  [0, -3)

Range:  The square root function may be zero or greater:  [0, infinity)

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Jasper is twice as old as Simon now. Simon was 1/5 as old as Jasper in 12 years ago. How old is Jasper in 12 years's time?
3241004551 [841]

Answer:

44 years old

Step-by-step explanation:

Let the age of Jasper be j years old now.

<u>Now</u><u>:</u>

Jasper➣ j

Simon ➣ j/2

<u>1</u><u>2</u><u> </u><u>years</u><u> </u><u>ago</u><u>:</u>

Jasper➣ j -12

Simon➣ j/2 -12

Given that Simon's age=⅕(Jasper's age),

j/2 -12= ⅕(j -12)

<em>Multiply</em><em> </em><em>by</em><em> </em><em>5</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>,</em>

2.5j -60= j -12

2.5j -j= 60 -12

<em>Simplify</em><em>:</em>

1.5j= 48

<em>÷</em><em>1.5</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>

j= 48 ÷1.5

<em>Simplify:</em>

j= 32

<u>12 years time:</u>

Jasper➣ j +12

Thus, Jasper's age

= 32 +12

= 44

7 0
3 years ago
Read 2 more answers
This is a absolute value equation solve for x<br>5 4x + 2) + 10 = 25​
Alina [70]

Answer:

x = 1/4

Step-by-step explanation:

in order to evaluate for the value of x in the equation 5( 4x + 2) + 10 = 25

we are going to open the bracket the combine the like terms together and evaluate.

solution

5 (4x + 2) + 10 = 25

20x + 10 + 10 = 25

combine the like terms

20x = 25 - 10 -10

20x = 5

divide both sides by the coefficient of x

20x/20 = 5/20

x = 1/4

therefore the value of x in the expression 5 4x + 2) + 10 = 25​ is evaluated to  be 1/4​​

4 0
4 years ago
Solve.<br> 4(y + 4) = 32
MakcuM [25]

Answer:

y = 4

Step-by-step explanation:

4*y = 4y

4*4 = 16

4y+16=32

to get 4y alone, we subtract 16 from 32.

32-16 = 16

4y = 16

to get y alone, we divide 4 by 16

16/ 4 = 4

so, y = 4

8 0
3 years ago
Read 2 more answers
Please help with number 14 this is due tomorrow
scoray [572]

The answer is b, if you add 6 to both sides you are left with x is greater than or equal to 16, which is not graphed above.

4 0
4 years ago
Read 2 more answers
A roller coaster starts with the cars being pulled up a ramp. The mass of the cars is estimated by the function m(p) = 175p + 1,
KiRa [710]

Answer:

E(p)=51,450p+346,920

Step-by-step explanation:

The function

m(p) = 175p + 1,180

gives the mass of the car as a function of the number of passengers in it.

And the function

E(m) = 9.8m*h

gives the potential energy of the car as a function of the car's mass.

Now if the height of the ramp is 30 meters, we have

E(m) =9.8m*(30)

E(m) =294m

And to find the potential energy as a function of the number of passengers, we just substitute m(p) into E(m) to get:

E(m(p))=294(175p+1180)

\boxed{ E(p)=51,450p+346,920}

which gives the potential energy as a function of the number of passengers.

7 0
4 years ago
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