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2 years ago

Which equation represents a line with a slope of 4 that passes through the point (1, 3)?

Mathematics

1 answer:

alina1380 [7]2 years ago

3 0

Answer:

y = 4x - 1

Step-by-step explanation:

The line has a slope of 4.

And passes through the point (1,3)

Taking another point (x,y) on the line;

$\frac{y - 3}{x - 1}$ = 4

y - 3 = 4x - 4

y = 4x - 4 + 3

y = 4x - 1

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2 years ago

Sanjay graphs a quadratic function that has x-intercepts of –3 and 7. Which functions could he have graphed?

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we will select each options and find zeros

(a)

$g(x)=x^2-4x-21$

for finding x-intercept , we can set g(x)=0

and then we can solve for x

$g(x)=x^2-4x-21=0$

now, we can factor it

$(x-7)(x+3)=0$

we get

$x=7,x=-3$

so, this is TRUE

(b)

$g(x)=(x-3)(x+7)$

we can set it to 0

and then we can solve for x

$g(x)=(x-3)(x+7)=0$

we get

$x=3,x=-7$

so, this is FALSE

(c)

$g(x)=3x^2-12x-63$

we can set it to 0

and then we can solve for x

$g(x)=3x^2-12x-63 =0$

$3(x^2-4x-21) =0$

$3(x-7)(x+3) =0$

$x=-3,x=7$

so, this is TRUE

(d)

$g(x)=-(x+3)(x-7)$

now, we can set it to 0

and then we can solve for x

$g(x)=-(x+3)(x-7)=0$

$x=-3,x=7$

so, this is TRUE

(e)

we have

$g(x)=x^2+4x-21$

now, we can set it to 0

and then we can solve for x

$g(x)=x^2+4x-21=0$

$(x+7)(x-3)=0$

$x=-7,x=3$

so, this is FALSE

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Answer:

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Step-by-step explanation:

I'm not sure of the answer but if I'm wrong tell me I'll continue trying it is a pleasure to help you.

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2 years ago

Which relation is a function? {(1, 2), (2,4), (−1, 2), (0,3)}

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Answer:

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Step-by-step explanation:

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