Select the correct equation that describes the table below

A car travels 205 miles while using 5 gallons of gasoline.

oee [108]

Answer:

205÷5=41

Step-by-step explanation:

I know its right

3 0

3 years ago

Georgia works at the frozen yogurt shop. She is able to scoop frozen yogurt into perfectly round scoops tha

Ronch [10]

Answer:

My answers:

1. p = 0.20 × 100 × k

4. y = 1.25x + 3; $8.00

Step-by-step explanation:

your welcome

8 0

3 years ago

Use series to verify that<br><br> <img src="https://tex.z-dn.net/?f=y%3De%5E%7Bx%7D" id="TexFormula1" title="y=e^{x}" alt="y=e^{

SVETLANKA909090 [29]

$y = e^x\\\\\displaystyle y = \sum_{k=1}^{\infty}\frac{x^k}{k!}\\\\\displaystyle y= 1+x+\frac{x^2}{2!} + \frac{x^3}{3!}+\ldots\\\\\displaystyle y' = \frac{d}{dx}\left( 1+x+\frac{x^2}{2!} + \frac{x^3}{3!}+\frac{x^4}{4!}+\ldots\right)\\\\$

$\displaystyle y' = \frac{d}{dx}\left(1\right)+\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{2!}\right) + \frac{d}{dx}\left(\frac{x^3}{3!}\right) + \frac{d}{dx}\left(\frac{x^4}{4!}\right)+\ldots\\\\\displaystyle y' = 0+1+\frac{2x^1}{2*1} + \frac{3x^2}{3*2!} + \frac{4x^3}{4*3!}+\ldots\\\\\displaystyle y' = 1 + x + \frac{x^2}{2!}+ \frac{x^3}{3!}+\ldots\\\\\displaystyle y' = \sum_{k=1}^{\infty}\frac{x^k}{k!}\\\\\displaystyle y' = e^{x}\\\\$

This shows that $y' = y$ is true when $y = e^x$

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Note 1: A more general solution is $y = Ce^x$ for some constant C.
Note 2: It might be tempting to say the general solution is $y = e^x+C$ , but that is not the case because $y = e^x+C \to y' = e^x+0 = e^x$ and we can see that $y' = y$ would only be true for C = 0, so that is why $y = e^x+C$ does not work.

6 0

3 years ago

What will be the product if a number if it is multiplied by 1?

Amanda [17]

The product if a number if it is multiplied by 1 is the same number itself.

Given:

Product:

The product meaning in math is a number that you get to by multiplying two or more other numbers together.

Rules:

1) 1 is the multiplicative identity, if we multiply any of the number with 1 we get the same number as the answer to that.

2) So as per the rule if we multiply any of the whole numbers with 1 we get the same number.

Example:

= 1 * 155

= 155

= 1 * 688

= 688

= 1 * 97

= 97

Learn more about the number here:

brainly.com/question/17429689

#SPJ4

8 0

1 year ago

If y varies directly with x when y=8,x=20 find the value of x when y=42

Alecsey [184]

The value of x is 105 when y=42

Step-by-step explanation:

A direct proportion means that the change in one quantity will also cause the change in other quantity

Given

y varies directly with x

x ∝ y

when the proportionality symbol is removed a proportionality constant is introduced

$x=ky\\k=\frac{x}{y}\\Putting\ y=8\ and\ x=20\\k=\frac{20}{8}\\k = \frac{5}{2}\\So,\ the\ equation\ will\ be\\x=\frac{5}{2}y\\Putting\ y=42\\x=\frac{5}{2}*42\\x=5*21\\x= 105$

The value of x is 105 when y=42

Keywords: Proportion, Direct variation

Learn more about proportion at:

#LearnwithBrainly

5 0

3 years ago