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4 years ago

A line passes through the points (1, 4) and (3, 4). Which is the equation of the line?

Mathematics

1 answer:

xeze [42]4 years ago

8 0

Answer:

y = -4x + 8

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step 1: Find slope m

$m=\frac{-4-4}{3-1}$

$m=\frac{-8}{2}$

m = -4

y = -4x + b

Step 2: Find y-intercept b

4 = -4(1) + b

4 = -4 + b

8 = b

Step 3: Rewrite linear equation

y = -4x + 8

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While grading her students' most recent quiz on equation solving, Mrs. Jones calculated that approximately forty percent of her

EastWind [94]

The given equation is,

$3(-n+4)+5n=2n$

Part 1:

Solve the above equation for n.

Using distributive property of multiplication,

$\begin{gathered} -3n+3\times4+5n=2n \\ -3n+12+5n=2n \end{gathered}$

Now, group the like terms.

$-3n+5n-2n+12=0$

Now, add the like terms.

$\begin{gathered} -5n+5n+12=0 \\ 0=-12 \end{gathered}$

0=-12 is a false statement.

Since we obtained a false statement, the given equation has no solution.

So, option b is correct.

Part 2:

The option (a) is n=3.

If while solving an equation, a single value is obtained for the variable, then the equation has only a single solution. If n=3 is obtained after solving the equation, then the student should chose option (a) as the answer.

The option (b) is "no solution".

While solving an equation, if we obtain an equation which is mathematically false, then the equation will have no solution. So, no solution is chosen when no value is obtained for n and the final equation is mathematically false.

The option (c) is "infinitely many solutions".

While solving an equation, if we obtain an equation which is mathematically correct such as 0=0, 7=7 etc., then the equation will have infinietly many solutions. So, infinitely many solutions is chosen when no value is obtained for n and the final equation is mathematically correct.

8 0

1 year ago

PLEASE HELP! IN DESPERATE NEED! Please SHOW YOUR WORK! Thx so much! :)

spayn [35]

1.

$92+\frac{56}{14-x}=100\\\\\frac{56}{14-x}=8\\\\(\frac{56}{14-x})*(14-x)=8*(14-x)\\\\56=(8*14)+[8*(-x)]\\\\56=112-8x\\\\-56=-8x\\\\\\x=7$

2.

$\frac{410-x}{7}+70=120\\\\\frac{410-x}{7}=50\\\\(\frac{410-x}{7})*7=50*7\\\\410-x=350\\\\-x=-60\\\\\\x=60$

4 0

3 years ago

Two dice are thrown simultaneously find

STALIN [3.7K]

Answer:

13.89%

Step-by-step explanation:

First lets find all possibilities of two dice being thrown, we can do this by finding a simple dice chart online (I attached an image of one to help.)

There are 36 possibilities, and we need to find how often the two dice add together to equal eight. 6+2=8, 5+3=8, etc.

There are five 5 total times that two dice can equal eight. so 5 out of 36 times we roll two dice we'll get eight.

$\frac{5}{36}$

Type that into the ol' handy dandy calculator and we've got 0.1388888889. So... a lot of 8's, we don't need that many and we just can't have an answer with that many.

To make that number into a percentage we have to move the dot two spaces over, and round to the thousandths place (two numbers).

This would give us 13.89%, our final answer.

Hope this helped!