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2 years ago

A portion of the Quadratic Formula proof is shown. Fill in the missing statement

Mathematics

1 answer:

Montano1993 [528]2 years ago

8 0

-b +/- (square root) b^2-4ac / 2a

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Which is the best estimate for the average rate of change for the quadratic function graph on the interval 4 ≤ x ≤ 8?

alukav5142 [94]

I think the answer is D, sorry if I'm wrong

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3 years ago

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Use the formula d =rt to find the distance d a long distance runner can run at a rate r of 9 1/2 miles per hour for time t of 1

shtirl [24]

D=rt
So you're going to plug in the values listed: r= 9 1/2 and t=1 3/4

This will give you:
d=(9.5)(1.75)

Then you solve:
d=16.625

You should probably convert that decimal answer into a fraction since you're question gave it to you as a fraction.

3 0

3 years ago

Solve the following system of equations by substitution. Show all steps.

Alinara [238K]

Answer:

Given system of equations:

$\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}$

To solve by substitution, equate the equations and solve for x:

$\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}$

Therefore, the x-values of the solution are $x = 0$ and $x = 4$ .

To find the y-values of the solution, substitute the found values of x into the functions:

$f(0)=-(0)^2+2(0)+3=3$

$g(0)=-2(0)+3=3$

$f(4)=-(4)^2+2(4)+3=-5$

$g(4)=-2(4)+3=-5$

Therefore, the solutions to the given system of equations are:

$(0, 3)$ and $(4, -5)$

4 0

2 years ago

Find the distance between two points: (2,3) (-5,8)

xenn [34]

Answer:

distance formula attached...

it's approximately 8.6

Step-by-step explanation:

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2 years ago

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50 points. <br> Solve the following problems.

jeyben [28]

Answer:

x=10, y=12.

Step-by-step explanation:

You are making all sides of the triangle smaller by a scale factor of 2/3, because 9*2/3=6. For x, we can do 2/3*15, which equals 10. For y, we can do 2/3*18, equalling 12.

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3 years ago

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