Standard showerhead in Andrew's house dispenses 8 gallons of water per minute. Andrew changed this shower head to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new shower head.y = 3x

How much water does Andrew save each day with the change in shower heads if he uses the shower for 8 minutes each day?
5 gallons
16 gallons
24 gallons
40 gallons

Answers

Answer 1

Answer:

$40$ gallons water Andrew save each day with the change in shower heads if he uses the shower for 8 minutes each day

What is equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

According to questions, standard showerhead in Andrew's house dispenses 8 gallons of water per minute. Andrew changed this shower head to an energy-saving one.

The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new shower head.

$y=3x$

Following, this pattern, the equation for the previous shower head is $y=8x$

Amount of water dispensed previously

$=3$ × $8=24$

Amount of water dispensed after change in shower

$=8$ × $8=64$

Total water Andrew save each day with the change in shower

$=64-24=40$ gallons

Hence, we can conclude that $40$ gallons water Andrew save each day with the change in shower heads if he uses the shower for 8 minutes each day.

Learn more about equation here:

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Answer 2

Answer: Slope is the rate of change.
y=3x.
3 is the slope here, and it means that the new shower head dispenses 3 gallons per minute.
Following, this pattern, the equation for the previous shower head is y=8x.
From this point, there are two ways to solve this:
Way 1: Input x, which in this case is 8 minutes, into each equation, and then find the difference with subtraction.
y=3x
y=3*8
y=24
So the new shower head dispenses 24 gallons in eight minutes.
y=8x
y=8*8
y=64
Therefore, you can conclude that the old shower head dispensed 64 gallons in eight minutes.
To figure out how much he saves, subtract the values:
64-24= 40 gallons.
Way 2) Find the difference before substitution:
y=8x-3x
y=5x
Substitute for x.
y=5*8
y=40 gallons
Therefore, the answer is D. 40 gallons. I hope this helped :)

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Write 5^8 as a quotient of two exponential terms with the same base in four different ways. Use only positive exponents.

Answers

The correct answer for the question that is being presented above is this one:

5^8 can be represented into two exponential terms as quotients.

5^8
= 5^12 / 5^4
= 5^9 / 5
= 5^10 / 5^2
= 5^15 / 5^ 7

You can still have other answers aside from the four items that i am presenting here.

**WILL MARK BRAINLIEST AND THANK YOU!!!! EXTRA POINTS!!!**Which describes to slope for each graph?

1:
A. Zero
B. Positive
C. Negative
D. Undefined

2:
A. Zero
B. Positive
C. Negative
D. Undefined

Answers

Answer:

The first is a Postive slope. the Second is a Zero slope

Step-by-step explanation:

Becuase the first gradully increases. meaning positive

and the 2nd is a zero because there is no slope. it's a stright line. level ground. no up hill or down hill

Hope this helps!

Find the area of the circle. Use 3.14 for pi. The diameter is 36 ft

Answers

Answer: 113.04

Step-by-step explanation:

To find the area you have to do diameter x 3.14 as pi

36 x 3.14 = 113.04

Multiply 3/sqrt17- sqrt2 by which fraction will produce an equivalent fraction with rational denominator

Answers

For this case we have the following expression:

$\frac {3} {\sqrt {17} - \sqrt {2}}$

We must rationalize the expression, so we multiply by:

$\frac {\sqrt {17} + \sqrt {2}} {\sqrt {17} + \sqrt {2}}$

So, we have:

$\frac {3} {\sqrt {17} - \sqrt {2}} * \frac {\sqrt {17} + \sqrt {2}} {\sqrt {17} + \sqrt {2}} =\n\frac {3 (\sqrt {17} + \sqrt {2}} {17- \sqrt {17} * \sqrt {2} + \sqrt {17} * \sqrt {2} -2} =\n\frac {3 (\sqrt {17} + \sqrt {2}} {15}$

Thus, the correct option is option B.

Answer:

OPTION B

Answer:

Step-by-step explanation:

To simplify something that looks like $\frac{\text{whatever}}{√(a)-√(b)}$ you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:

$√(a)+√(b)$ .

If you had $\frac{\text{whatever}}{√(a)+√(b)}$ , then you would multiply top and bottom the conjugate of $√(a)+√(b)$ which is $√(a)-√(b)$ .

The conjugate of a+b is a-b.

These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.

Let's see:

(a+b)(a-b)

I'm going to use foil:

First: a(a)=a^2

Outer: a(-b)=-ab

Inner: b(a)=ab

Last: b(-b)=-b^2

--------------------------Adding.

a^2-b^2

See -ab+ab canceled so all you had to do was the "first" and "last" of foil.

This would get rid of square roots if a and b had them because they are being squared.

Anyways the conjugate of $√(17)-√(2)$ is

$√(17)+√(2)$ .

This is the thing we are multiplying and top and bottom.

Simply this expression (-0.25x- 3) - (1.5x +1.4)

Answers

$1.75x-4.4$

Expression:

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

Simplification of expressions:

A mathematical expression is simplified when it is expressed in the simplest way possible.
The expression is usually reduced to its simplest form by using fundamental features of numbers, exponents, algebraic principles, etc. to eliminate any repetitions or redundancies.