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2 years ago

What is the equation for a line

Mathematics

2 answers:

USPshnik [31]2 years ago

4 0

Answer:

y = mx + b

Step-by-step explanation:

y represents the dependent variable (value you are getting).

m represents the slope of the line.

x represents the independent variable (what you are changing).

b represents the y-intercept, or the y value when x is zero.

Klio2033 [76]2 years ago

3 0

Ans: These lines are written in the form y = mx + b, where m is the slope and b is the y-intercept.

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Solve the system of equations.<br> <img src="https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7By%3D220x-160%7D%20%5Catop%20%7By%3

Leni [432]

$\begin{cases} y=220x-160\\ y=20x^2-400 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{\stackrel{\textit{\Large y}}{220x-160}~~ = ~~20x^2-400} \\\\\\ -160=20x^2-220x-400\implies 0=20x^2-220x-240 \\\\\\ 0=20(x^2-11x-12)\implies 0=x^2-11x-12 \\\\\\ 0=(x-12)(x+1)\implies x= \begin{cases} 12\\ -1 \end{cases}$

$\dotfill\\\\ x=12\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(12)-160}\implies y=2480 \\\\\\ x=-1\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(-1)-160}\implies y=-380 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (12~~,~~2480)\qquad (-1~~,~~-380)~\hfill$

4 0

2 years ago

(x+5)(y+10) <br><br> what is the answer to this equation?

netineya [11]

(x + 5)(y + 10)
x(y + 10) + 5(y + 10)
x(y) + x(10) + 5(y) + 5(10)
xy + 10x + 5y + 50

7 0

2 years ago

No links please. Fill in the blanks. 67ns=[?]x10^[?]s

cluponka [151]

Using scientific notation, it is found that:

67 ns = $6.7 \times 10^{-8}$ s

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

$a \times 10^b$

With the base being $a \in [1, 10)$ .

In this problem, the amount is of 67 ns.

Each ns has $10^{-9}$ seconds, hence:

$67ns = 67 \times 10^{-9}s$

We want the base between 1 and 10(exclusive), hence, we move the decimal digit one digit to the left and add one to the exponent, and the representation is:

67 ns = $6.7 \times 10^{-8}$ s

You can learn more about scientific notation at brainly.com/question/16394306

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2 years ago

Wane went on a 4-kilometer run he took a break at four third kilometers he took a drink of water at ten third kilometers show Wa

otez555 [7]

Answer:

Given,

The total distance covered = 4 km,

Since, initially he would be in rest,

So, his starting point would be 0.

Now, his first break = $\frac{4}{3}$ km,

Second break = $\frac{10}{3}$ km,

Also, we can write,

$4=\frac{4\times 3}{3}=\frac{12}{3}$

Drawing number line:

Step 1: Draw a line.

Step 2: Make 12 marks in same distance.

Step 3: Starts from 0, then 1/3, 2/3, 3/3 and so on.

Thus, we can show Wayne's bike on a number line as below.

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3 years ago

Debbie has equal numbers of dimes and quarters with a total value of $1.40. How many coins does she have altogether?

-BARSIC- [3]

$x=amount\ of\ each\ coin. \\ .25x+.1x=1.4 \\ .35x=1.4 \\ x= \frac{1.4}{.35} \\ x=4\ of\ each\ coin. \\ 4\ quarters\ and\ 4\ dimes. \\ \boxed{8\ coins\ in\ total}$

3 0

3 years ago

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