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2 years ago

10

Identify the slope.Nadia's pool already has 1000 gallons of water when she begins to fill it. It fills at a rate of 22 gallons p

er minute.PLZZ HELP

1 answer:

Nataly_w [17]2 years ago

3 0

Y=22x+100
22 would be the slope

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Divide £12 between mick and sharon in the ratio 2:4

antiseptic1488 [7]

Answer:mick share is £4 while Sharon share is £8

Step-by-step explanation:

Money to be shared=£12

Mick : sharon=2:4

Sum of ratio=2+4=6

Mick share=2/6 x 12

Mick share=(2x12)/6

Mick share=24/6

Mick share=4

Sharon share=4/6 x 12

Sharon share=(4x12)/6

Sharon share=48/6

Sharon share=48/6

Sharon share=8

6 0

3 years ago

How many times does 31 go into 248?

valina [46]

248 / 31 = 217 times

5 0

3 years ago

Quadratics need help making parabola

timama [110]

Answer:

The equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ , whose real vertex is $(x,y) = (2, -5.333)$ , not $(x,y) = (2, -5)$ .

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

$(x_{1}, y_{1}) = (-2, 0)$ , $(x_{2}, y_{2}) = (6, 0)$ , $(x_{3}, y_{3}) = (0, -4)$

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

$4\cdot a -2\cdot b + c = 0$ (1)

$36\cdot a + 6\cdot b + c = 0$ (2)

$c = -4$ (3)

The solution of this system is: $a = \frac{1}{3}$ , $b = - \frac{4}{3}$ , $c = -4$ . Hence, the equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ . Lastly, we must check if $(x,y) = (2, -5)$ belongs to the function. If we know that $x = 2$ , then the value of $y$ is:

$y = \frac{1}{3}\cdot (2)^{2}-\frac{4}{3}\cdot (2) - 4$

$y = -5.333$

$(x,y) = (2, -5)$ does not belong to the function, the real point is $(x,y) = (2, -5.333)$ .

5 0

2 years ago

At a train station, freight trains depart at a rate of 2 trains every 30 minutes and passenger trains depart at a rate of 1 trai

never [62]

In my work I used t=trains and m=minutes:
30+30= 60m/2t
<span>30+30= 60m/2t
</span><span>30+30= 60m/2t
</span><span>30+30= 60m/2t
</span><span>30+30= 60m/2t
</span><span>30+30= 60m/2t
</span><span>30+30= 60m/2t
</span><span>30+30= 60m/2t
</span><span>30+30= 60m/2t
</span><span>30+30= 60m/2t
</span><span>30+30= 60m/2t
</span><span>30+30= 60m/2t
Total= 720m/24t

1:30+1:30+1:30+1:30+1:30+1:30+1:30+1:30+1:30+1:30+1:30+1:30= 4 o' clock
Total= 372m/12t

24t+12t= 36t

The answer is:
36 trains in total</span>

6 0

3 years ago

Help please explain.

Lubov Fominskaja [6]

25 + 100i is correct because -5 squared is 25 and the the square root of -100 is 100i or 10i in its simplest form.

4 0

3 years ago