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3 years ago

F(0)=2, f(2)=4, linear equation?

2 answers:

7 0

If you separate those into points (0,2) and (2,4) then figure out the slope by using the equation y2-y1 divided by x2-x1, you'll get 4-2 over 2-0 which gives you 2/2 or 1. You found the slope so you can plug that into the slope-intercept equation y-y1=m(x-x1). For you, it'd be y-2=1(x-0), you end up with the equation y=x+2.

Gelneren [198K]3 years ago

5 0

Could be, but not necessarily.

You have two points on the graph: (0, 2) and (2, 4) .

Yes, there's a straight line that could go through those two points. Y = x + 2 .

But there are a million other graphs that could go through the same two points.
You could draw ellipses, parabolas, circles, exponentials etc. that all go through
them. So when you only know two points on the graph, you can't really tell what
the equation has to be, or whether or not it's linear.

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Use the drawing tool(s) to form the correct answer on the provided number line.

miskamm [114]

Answer:

x= 1, x= 4, and x= -3

Step-by-step explanation:

Use the possible combinations of factors of the constant term of the polynomial to find a first root. Try 1, -1, 2, -2, 3, -3, etc.

Notice in particular that x = 1 is a root (makes f(1) = 0):

$f(1)=x^3-2*1^2-11*1+12=1-2-11+12=13-13=0$

So we know that x=1 is a root, and therefore, the binomial (x-1) must divide the original polynomial exactly.

As we perform the division, we find that the remainder of it is zero (perfect division) and the quotient is: $x^2-x-12$

This is now a quadratic expression for which we can find its factor form:

$x^2-x-12=x^2-4x+3x-12=x(x-4)+3(x-4)=(x-4)*(x+3)$

From the factors we just found, we conclude that x intercepts (zeroes) of the original polynomial are those x-values for which each of the factors: (x-1), (x-4) and (x+3) give zero. That is, the values x= 1, x= 4, and x= -3. (these are the roots of the polynomial.

Mark these values on the number line as requested.

7 0

3 years ago

What is the SEC?

Shalnov [3]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

From the set {5, 15, 23), which of the values can be substituted for m to make the

Arlecino [84]

Answer:

its A and i am sure her is the explanation

Step-by-step explanation:

m<19-4
m<15

7 0

2 years ago

If HJ=2x+5, JK=3x-7, and KH=18 what is the value of x

weqwewe [10]

Answer:

x = 4

Step-by-step explanation:

<u>Given</u>

HJ=2x+5
JK=3x-7
KH=18

<u>We see J is between H and K, so </u>

KH = HJ + JK
2x + 5 + 3x - 7 = 18
5x - 2 = 18
5x = 20
x = 4

3 0

2 years ago

A. Solve the differential equation <img src="https://tex.z-dn.net/?f=y%27%3D2x%20%5Csqrt%7B1-y%5E2%7D%20" id="TexFormula1" title

kirill [66]

$y' = \frac{dy}{dx}$

seperable differential equations will have the form
$\frac{dy}{dx} = F(x) G(y)$

what you do from here is isolate all the y terms on one side and all the X terms on the other
$\frac{dy}{G(y)} = F(x) dx$
just divided G(y) to both sides and multiply dx to both sides

then integrate both sides
$\int \frac{1}{G(y)} dy = \int F(x) dx

$

once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it

In your problem,
$G(y) = \sqrt{1-y^2}

F(x) = 2x$

so all you need to integrate is
$\int \frac{1}{\sqrt{1-y^2}} dy = \int 2x dx$

5 0

3 years ago