Identify the vertex of the quadratic function in standard form y=2x^2 -16x+31

Answers

Answer 1

Answer:

Answer:

(4,1)

Step-by-step explanation:

The vertex of the quadratic can be found using -b/2a. The vertex is the point (-b/2a, f(-b/2a)).

To find the x coordinate of the quadratic, define its a,b, and c. The quadratic has a = 2, b=-16, and c=31. Then -b/2a is -(-16)/2(2) = 16/4 = 4.

To find the y-coordinate, input the x=4 and solve for y.

$y=2(4)^2-16(4)+31\ny=2(16)-64+31\ny=32-64+31\ny=1$

The vertex is (4,1).

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Find the midpoint of jn

Answers

/ represents divided by
Midpoint = (10-4)/2, (-2+6)/2
Midpoint = 6/2, 4/2
Midpoint = 3, 2
The midpoint is (3, 2)

Answer:

(3,2)

Step-by-step explanation:

Use the midpoint formula.

Add the x's together and then divide that by 2. Then do the same thing for the y's.

10+(-4)=6; 6/2=3

-2+6=4; 4/2=2

So, m=(3,2)

mario went on a hike with his friends. they hiked 2,24 miles an hour for 8 hour. how many miles did they hike in all

Answers

Do 224x8
This would equal 1792.
He traveled 1792 miles.
I hope you understand. :-)

17,92 because 2,24 times 8 equals 17,92

-4/3,4/9,-4/27,4/81,-4/243...

what is the common ratio! HELP ASAP

Answers

Answer: The common ratio is -1/3

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Work Shown:

Pick any term to divide it by the previous term. I'm going to pick the second term and divide it by the first term.

r = common ratio
r = (term 2) divided by (term 1)
r = (4/9) divided by (-4/3)
r = (4/9) * (-3/4)
r = (4*(-3))/(9*4)
r = -12/36
r = -1/3
The common ratio is -1/3

This means you multiply each term by -1/3 to get the next term

For instance
term 2 = r*(term 1)
term 2 = (-1/3)*(-4/3)
term 2 = ((-1)*(-4))/(3*3)
term 2 = 4/9

What is the equation of the line, in slope-intercept form, that contains the points (−1, 5) and (2, 2)?y = −3x + 4
y = −x + 1
y = x + 4
y = −x + 4

Answers

So,

First, we need to find the slope by subtracting the y-values and subtracting the x-values.

5 - 2 = 3
-1 - 2 = -3

Now divide the y-result by the x-result.
3/-3 = -1 <-- slope

y = -x + b <-- equation so far

To find the y-intercept, substitute a solution into the equation.

2 = -2 + b

Add 2 to both sides.
4 = b

Now we have our complete equation.
y = -x + 4 <-- option D

y=mx+b
m=slope
b=yintercept
slope=(y2-y1)/(x2-x1)

given the points (-1,5) and (2,2)
slope=(2-5)/(2-(-1))=-3/(2+1)=-3/3=-1
y=-1x+b
sub a oint
(2,2)
x=2
y=2
2=-1(2)+b
2=-2+b
add 2
4=b

y=-x+4

Mindy can type 40 words per minute. How many words can she type in 5 minutes?

Answers

Answer: 200 words, that is, if she types at a constant pace, without break for those 5 minutes

Step-by-step explanation:

What are the two consecutive number with a product of 121

Answers

$x(x+1)=121 \n x^2+x-121=0 \n \Delta=485$
Since $\Delta$ is not a perfect square, the solution is not integer. So there are no consecutive numbers really.

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