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3 years ago

PLEASE Need Help Show Work

Mathematics

1 answer:

BartSMP [9]3 years ago

7 0

This set notation really seems the hard way to exclude a single value. Anyway...

The domain doesn't include where the denominator is zero, 4x + 7 = 0,

x = -7/4

The range doesn't include the asymptotic value, which is

y=2x/4x = 1/2

So we need domain x ≠ -7/4 and range y ≠ 1/2

Answer: First choice

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A pool has 2 pipes, one to fill and one to empty it. Ms.Charles wants to fill the pool, but she mistakenly turns on both pipes a

dolphi86 [110]

-- The filler pipe can fill 1/6 of the pool every hour.

-- The drainer pipe can drain 1/10 of the pool every hour.

-- When they're filling and draining at the same time, the filler pipe
will win eventually, because it finishes more of the pool in an hour
than what the drain pipe can finish in an hour.

-- When they're filling and draining at the same time, then every hour,
1/6 of the pool fills and 1/10 of it empties. The difference is (1/6) - (1/10).

To do that subtraction, we need a common denominator.
The smallest denominator that works is 30.

 1/6 = 5/30

 1/10 = 3/30 .

So in every hour, 5/30 of the pool fills, and 3/30 of the pool empties.
The result of both at the same time is that 2/30 = 1/15 fills each hour.

If nobody notices what's going on and closes the drain pipe, it will take
15 hours to fill the pool.

If the drain pipe had not been open, the filler pipe alone could have filled
the pool 2-1/2 times in that same 15 hours. With both pipes open,
1-1/2 pool's worth of water went straight down the drain during that time,
and it was wasted.

I would say that the school should take the cost of 1-1/2 poolsworth out
of Ms. Charles' pay at the rate of $5 a week. I would, but that would
guarantee her more job security than she deserves after pulling a stunt
like that.

I hope this did not take place in California.

6 0

3 years ago

Dylan and Abigail are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Dylan i

Tju [1.3M]

Your profile picture is very uncool man

8 0

3 years ago

Read 2 more answers

Suppose the area of a circle is 49π. What is its radius

pentagon [3]

The radius is 7 what it is telling you is that you already did the square 4^2*3.14=49 pi.

4 0

3 years ago

PLEASE HELP ASAP OFFERING 10 POINTS

klio [65]

Just did one just like it

688.32 = x + .043 x + .0325 x = 1.0755 x

x = 688.32/1.0755 = $640.00

Answer: $640.00

Check: 640(1+.043+.0325)= 688.32 good

6 0

3 years ago

What is the function written in vertex form?

lys-0071 [83]

Answer:

The answer in the procedure

Step-by-step explanation:

The question does not present the graph, however it can be answered to help the student solve similar problems.

we know that

The equation of a vertical parabola into vertex form is equal to

$f(x)=a(x-h)^{2}+k$

where

a is a coefficient

(h,k) is the vertex

If the coefficient a is positive then the parabola open up and the vertex is a minimum

If the coefficient a is negative then the parabola open down and the vertex is a maximum

case A) we have

$f(x)=3(x+4)^{2}-6$

The vertex is the point (-4,-6)

a=3

therefore

The parabola open up, the vertex is a minimum

case B) we have

$f(x)=3(x+4)^{2}-38$

The vertex is the point (-4,-38)

a=3

therefore

The parabola open up, the vertex is a minimum

case C) we have

$f(x)=3(x-4)^{2}-6$

The vertex is the point (4,-6)

a=3

therefore

The parabola open up, the vertex is a minimum

case D) we have

$f(x)=3(x-4)^{2}-38$

The vertex is the point (4,-38)

a=3

therefore

The parabola open up, the vertex is a minimum

4 0

3 years ago