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2 years ago

Does the tallest can always hold the greatest volume? Explain your answer!

1 answer:

4 0

Alrighty, so, you know how young children often believe that a taller container will have a greater volume than a shorter container? Even after seeing that both containers hold the same amount, some children will still think the taller container holds more. It may take measuring the water a few times before they get it.

If it overflows, the first container is bigger, or is able to hold more water. If all of the water from the first container can be poured into the second container without completely filling it, then the second container holds more water.

The tallest container holds the most liquid. Identical containers can have a different capacity.

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HURRYYYYYYYYY!! What is the equation of the quadratic function with a vertex at (2, 25) and an x-intercept at (7,0)?

tangare [24]

Answer:

$y=-(x-7)(x+3)$

which is none of the choices provided.

Are you sure the question is right or even the choices?

You can even write it as:

$y=-(x+3)(x-7)$ but this is still not a choice.

Step-by-step explanation:

The vertex form of a quadratic is $y=a(x-h)^2+k$ .

This is called vertex form because it gives you the vertex is $(h,k)$ .

We are given that $(h,k)=(2,25)$ which makes our equation:

$y=a(x-2)^2+25$ .

We can find the value of $a$ by plugging in the x-intercept (7,0) for $(x,y)$ into:

$y=a(x-2)^2+25$

$0=a(7-2)^2+25$

$0=a(5)^2+25$

Subtract 25 on both sides:

$-25=a(5)^2$

$-25=a(25)$

Divide both sides by 25:

$\frac{-25}{25}=a$

$-1=a$ .

So the equation for the quadratic is:

$y=-1(x-2)^2+25$

Let's put this into factored form since all the choices are in factored form.

This will require us to multiply the (x-2)(x-2) out:

$y=-1(x-2)(x-2)+25$

$y=-1(x^2-2x-2x+4)+25$

$y=-1(x^2-4x+4)+25$

$y=-x^2+4x-4+25$

$y=-x^2+4x+21$

Factor out -1:

$y=-(x^2-4x-21)$

WE need to find two numbers that multiply to be -21 and add to be -4:

$y=-(x-7)(x+3)$

8 0

3 years ago

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21/4 times the quantity 51/2 minus k Need help writing a expression for this phrase

mart [117]

Answer:

21/4 x 51/2 - k use the app Photomate if wrong

5 0

3 years ago

Ms. Watson receives a base pay of $150, plus a commission of $45 on each appliance that she sells. Her total pay depend on how m

Julli [10]

This is asking for a linear function. The base pay is $150, so even if she sells nothing, she cannot be paid less than $150. Because of this, we make that out y-intercept. The number of appliances sold is a variable, so we make that the "X" and multiply that by the amount made ($45) on each additional item sold. You then follow the Order of Operations (PEMDAS) to make your equation.

7 0

3 years ago

ASAP please help

asambeis [7]

The answer to A) 700
The answer to B) 250

6 0

2 years ago

Read 2 more answers

Victoria renovated a house for $71,000. If she paid 506,000 for the house, what is the percent of the original cost did she spen

castortr0y [4]

Answer: this is rounded out, and an estimate but...

Step-by-step explanation: