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love history [14]
3 years ago
7

Which point would be a solution to the system of linear inequalities shown below?

Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0

The question has errors.

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Find the equation of the line that passes through the following two points: (3, -7) and (7, 2)
Wittaler [7]

Answer:

y=\frac{9}{4}x-\frac{55}{4}

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

Given points: (3, -7), (7, 2)

(3, -7) = (x1, y1)

(7, 2) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

\frac{2-(-7)}{7-3}

Simplify:

2 - (-7) = 2 + 7 = 9

7 - 3 = 4

\frac{9}{4}

The slope is \frac{9}{4}.

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:

2=\frac{9}{4}(7)+b

2=\frac{63}{4}+b

-\frac{55}{4} =b

The y-intercept is -\frac{55}{4}.

Now that we know the slope and the y-intercept, we can write the equation:

y=\frac{9}{4}x-\frac{55}{4}

6 0
3 years ago
Solve the equation<br> 12 + 4m = 24<br> A)m=9<br> B)m=8<br> C)m=3<br> D)m=-6
pantera1 [17]
12 +4m = 24

4m = 12

m = 12/4

m = 3  so choice C. is right sure 
8 0
3 years ago
A theater has 1200 seats. each row has 20 seats. what is the equation to find the number of rows in the theater
Ugo [173]
Let be x the number of rows
there are 1200 seats, and each row has 20seats
so 20x=1200, so x= 60, there are 60 rows in the theater
6 0
4 years ago
Find the roots of the quadratic equation w+w²/3=0​
Daniel [21]

I assume that the equation you mean is below:

\large \boxed{w +  \frac{ {w}^{2} }{3}  = 0}

To find roots for this equation, we have to get rid of the denominator. We can do by multiplying both sides by 3.

\large{w(3) +  \frac{ {w}^{2} }{3} (3) = 0(3)} \\  \large{3w +  {w}^{2}  = 0}

Factor w-term out (common factor)

\large{w(3 + w) = 0} \\  \large{w = 0 \:  \:  \:  or \:  \:  \: 3 + w = 0} \\  \large{w = 0, - 3}

Answer

  • The roots of quadratic equation are 0,-3
8 0
3 years ago
The local high school sold 1914 tickets this year to its spring musical. That was 174 more tickets sold than last year. What is
pantera1 [17]

Answer:

.909 (ROUNDED)

Step-by-step explanation:

In order to do this all you need to do is divide the number with the number you got this year, 1914, and with the number last year.

1914-174=1740

1740 was the amount they got last year

Now you want to find the percent difference between the two.

1740/1914=.909090 (Repeats)

So the percent increase would be

.909090

.101010

3 0
3 years ago
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