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aliya0001 [1]
3 years ago
11

Choose the correct equation for the line shown on the graph below

Mathematics
1 answer:
Romashka [77]3 years ago
7 0

Step-by-step explanation:

We can write the equation of a straight line as y=mx+b, with m being the slope. We know two points to be (-4,0) and (0,-1) in the (x,y) format. The slope is change in y/change in x, so we can subtract -1 from 0 (-1 is the second y coordinate) and 0 from -4 (0 is the second x coordinate) to get 1/(-4) as our slope. Then, we plug a point in, like (0,-1). We plug that into our formula, y=mx+b. We know that x=0, y=-1, and m(slope)=-1/4, so we can plug that in to get -1=(-1/4)(0)+b, or -1=b. Our equation is then y=(-1/4)x+-1 as our equation should have y and x left open for specific points

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Ex 2.6
Anna007 [38]
y=3x^4 -4x^3 -12x^2 +1\\
y'=12x^3-12x^2-24x\\\\
12x^3-12x^2-24x=0\\
12x(x^2-x-2)=0\\
12x(x^2+x-2x-2)=0\\
12x(x(x+1)-2(x+1))=0\\
12x(x-2)(x+1)=0\\
x=0 \vee x=2 \vee x=-1\\\\
\forall{x\in(-\infty,-1)\cup(0,2)}\ y'
y(-1)=3\cdot(-1)^4-4\cdot(-1)^3-12\cdot(-1)^2+1=3+4-12+1=-4=\\
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5 0
3 years ago
One pound of red grapes cost $2.42 Ella buys worth 0.5 pound how much does she spend on red grapes
Bess [88]

Answer:

1.21

Step-by-step explanation:

The cost of the grapes is the price per pound times the number of pounds

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7 0
3 years ago
if one in every 10 pieces of fruit is a currant and two in every five is a cherry what proportion are raisins
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Step-by-step explanation:

5 0
2 years ago
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