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maksim [4K]
3 years ago
12

What is the slope of this line? A) 3 B) -3 C) 1/3 D) -1/3

Mathematics
2 answers:
ryzh [129]3 years ago
8 0

Answer:

-3

Step-by-step explanation:

Slopes are done in "Rise over Run"

Meaning the fraction \frac{1}{3} means the slope will cause the line to "Rise" 1 and "Run" 3

3 is the same thing as \frac{3}{1}

And so it can be said it "Rises" 3 and "Runs" 1

In this case though it is negative, but that doesn't change the way slope works, other than the direction it goes in.

You can tell that since the more the line goes to the right, the more it goes down, it is a negative sloped graph.

and so since it "Rises" -3 for every 1 that it goes right,

the slope is -3

Gennadij [26K]3 years ago
8 0

Answer:

The slope is -3

Step-by-step explanation:

We can use the formula

m = (y2-y1)/(x2-x1)

when we have 2 points

(0,-2) and (1,-5) are two points on the line

m = (-5--2)/(1-0)

    = (-5+2)/1

     = -3/1

   = -3

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A pharmaceutical company is testing a new antibiotic. The number of bacteria
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Answer:

\huge\boxed{(2,\ 3);\ (-1,\ 6)}

Step-by-step explanation:

f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right

substitute (1) to (2):

x^2-2x+3=-x+5     add x to both sides

x^2-2x+x+3=-x+x+5

x^2-x+3=5        subtract 5 from both sides

x^2-x+3-5=5-5

x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}

substitute the values of x to (2):

x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}

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3 years ago
What is the result of isolating y2 in the equation below? 9x2 + 7y2 = 42
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First, move 9x^2 to the right:

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Then, divide 7 on both sides:

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The logical answer would be d

3 0
3 years ago
Read 2 more answers
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