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mojhsa [17]
2 years ago
10

Write an equation of the line that has a slope of 5 and goes through the point (3,3)

Mathematics
1 answer:
professor190 [17]2 years ago
8 0

Answer:

y=5x-12

Step-by-step explanation:

The general equation of a line is <em>y=mx+b</em>.

The equation you currently have is <em>y=5x+b</em>.

Plug in the point (3,3) which will get you <em>3=5(3)+b</em>.

Solve the equation by solving what the y-intercept (b) is to create the new final equation.

3=5(3)+b

3=15+b

b=3-15

b=-12

y=5x-12

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Answer:

  see attached

Step-by-step explanation:

Find the y-values corresponding to x-values of 0 and 1, then plot those points and draw a line through them.

For x=0, ...

  y = -4·0 -1 = -1 . . . . the point is (0, -1) . . . the y-intercept

For x=1, ...

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The attached graph shows these points and the line through them.

3 0
3 years ago
F(x)=x^2+10x-12
weqwewe [10]

Answer:

Therefore the two values required are 2.08 and -11.08.

Step-by-step explanation:

i) f(x) = x^{2} +  10x - 12 is a quadratic equation and a quadratic equation will have two roots whose values when substituted in to the given quadratic equation will give the value.

ii) The question is therefore essentially asking us to find the roots of the given quadratic equation.

This can be done by equating the given quadratic equation to zero and then solving the equation for its roots.

∴ x^{2} + 10x -12 = 0    ⇒    x  = (-10 ± \sqrt{10^{2} +(48)} ) ÷ 2                                                          

                                          = (-10 ± 12.166)÷2        =   2.08, -11.08

Therefore the two values required are 2.08 and -11.08

3 0
3 years ago
Sally is selling pies. She wants to earn at least $200 a day. It costs her $50 for materials and the booth rental. She is going
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Step-by-step explanation:

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