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Travka [436]
3 years ago
14

Please help my grade is really low in this class

Mathematics
2 answers:
MakcuM [25]3 years ago
8 0

Answer:

A

Step-by-step explanation:

the first thing you should do while completing the square should be moving your 'c' value to the other side of the equation!

do so by subtracting 8 on both sides,

your new equation should now look like x^2 -6x = -8

that is the first step of completing the square!

i hope this helps!!

you can totally bring your grade in math up!!

i believe in you!

stay safe!

:)

Yuri [45]3 years ago
7 0

Answer:

A

Step-by-step explanation:

When completing the square, the first thing you want to do is get all of the numbers on one side, and all the x terms on the other.

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Daniel earns money mowing lawns. He charges $4.50 per lawn. How many lines must he mow to earn $45?
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10 is the answer to this problem
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3 years ago
Read 2 more answers
What is the solution to this system of equations?
Maurinko [17]

Answer:

  (x, y) = (5, -2)

Step-by-step explanation:

A graphing calculator provides a quick and easy way to find the solution.

_____

There are several other ways to solve these equations. Or you can estimate where the answer might be using logic like this:

The intercepts of the first equation are ...

  • x-intercept = 26/4 = 6 1/2
  • y-intercept = -26/3 = -8 2/3

So the graph of it will form a triangle with the axes in the 4th quadrant.

The intercepts of the second equation are ...

  • x-intercept = 11/3 = 3 2/3
  • y-intercept = 11/2 = 5 1/2

So the graph of it will form a triangle with the axes in the 1st quadrant. The x-intercept of this one is less than the x-intercept of the first equation, so the two lines must cross in the 4th quadrant.

The only 4th-quadrant answer choice is (5, -2).

3 0
3 years ago
If you can run 3 miles in 20 minutes, how far can you run in one hour?
Irina-Kira [14]

Answer:

I think it would be 9 miles.

3 0
3 years ago
In an assembly line where the cycle time is 3 minutes and the sum of the task times is 22 minutes, what is the daily production
pogonyaev

Answer:

= 160 units

Step-by-step explanation:

Relevant data provided as the situation is below:-

Total available time = 480

Cycle time = 3

According to the given situation, the computation of the daily production rate is shown below:-

Daily production rate is

= \frac{ Total\ available\ time}{Cycle\ time}

= \frac{480}{3}

= 160 units

Therefore we have solve the daily production rate to reach the daily production rate.

6 0
3 years ago
Find the point on the parabola y^2 = 4x that is closest to the point (2, 8).
guapka [62]

Answer:

(4, 4)

Step-by-step explanation:

There are a couple of ways to go at this:

  1. Write an expression for the distance from a point on the parabola to the given point, then differentiate that and set the derivative to zero.
  2. Find the equation of a normal line to the parabola that goes through the given point.

1. The distance formula tells us for some point (x, y) on the parabola, the distance d satisfies ...

... d² = (x -2)² +(y -8)² . . . . . . . the y in this equation is a function of x

Differentiating with respect to x and setting dd/dx=0, we have ...

... 2d(dd/dx) = 0 = 2(x -2) +2(y -8)(dy/dx)

We can factor 2 from this to get

... 0 = x -2 +(y -8)(dy/dx)

Differentiating the parabola's equation, we find ...

... 2y(dy/dx) = 4

... dy/dx = 2/y

Substituting for x (=y²/4) and dy/dx into our derivative equation above, we get

... 0 = y²/4 -2 +(y -8)(2/y) = y²/4 -16/y

... 64 = y³ . . . . . . multiply by 4y, add 64

... 4 = y . . . . . . . . cube root

... y²/4 = 16/4 = x = 4

_____

2. The derivative above tells us the slope at point (x, y) on the parabola is ...

... dy/dx = 2/y

Then the slope of the normal line at that point is ...

... -1/(dy/dx) = -y/2

The normal line through the point (2, 8) will have equation (in point-slope form) ...

... y - 8 = (-y/2)(x -2)

Substituting for x using the equation of the parabola, we get

... y - 8 = (-y/2)(y²/4 -2)

Multiplying by 8 gives ...

... 8y -64 = -y³ +8y

... y³ = 64 . . . . subtract 8y, multiply by -1

... y = 4 . . . . . . cube root

... x = y²/4 = 4

The point on the parabola that is closest to the point (2, 8) is (4, 4).

4 0
3 years ago
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