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3 years ago

Which is the solution of this system of equations?

Mathematics

1 answer:

bazaltina [42]3 years ago

4 0

Answer:y=12

Step-by-step explanation:

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Find the equation of this line. y= [?]x+[?]

DochEvi [55]

Answer:

$y=3x-4$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

$m=\displaystyle\frac{y_2-y_1}{x_2-x_1}$ where two points that fall on the line are $(x_1,y_1)$ and $(x_2,y_2)$

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

$m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3$

Therefore, the slope of the line is 3. Plug this into $y=mx+b$ :

$y=3x+b$

2) Determine the y-intercept (b)

$y=3x+b$

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into $y=3x+b$ :

$y=3x+(-4)\\y=3x-4$

I hope this helps!

5 0

2 years ago

Alexandra has 78 emails in her box. she deletes 47 emails. How many emails are left in her box? Draw jumps and label the number

labwork [276]

There are 31 emails left in her box. Hope this helps!! :)

7 0

3 years ago

Read 2 more answers

Your school is putting on a prom fashion show, and you are in charge of building a platform to serve as a stage. Main stage is a

rodikova [14]

The answer would be tewlce

7 0

3 years ago

Find the sum and product of the roots. 3x^ 2 - 4x - 7 = 0

victus00 [196]

Given the quadratic function, to get the roots we factorize:
3x²-4x-7=0

3x²+3x-7x-7=0
3x(x+1)-7(x+1)=0
(3x-7)(x+1)=0
thus the roots are
x=-1 or x=3/7
thus the sum of the roots will be:
-1+3/7
=-4/7

6 0

3 years ago

How to figure this out!

4vir4ik [10]

96 ---> 100%

60 ----> x

x=(60*100%)/96=62.5%

5 0

3 years ago