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Fynjy0 [20]
3 years ago
9

PLEASE HELP ME PLEASE!!!

Mathematics
1 answer:
dimaraw [331]3 years ago
4 0

Answer:

Step-by-step explanation:

Let's just check something out before we continue to fill in the blanks.

The zeros are (x - 1) and (x -5)

y = (x - 1)(x - 5)            Remove the brackets.

y = x^2 - 6x + 5          Complete the square

y = (x^2 - 6x + 9) + 5 - 9

y = (x - 3)^2  - 4

So we have a minumum at (3, - 4)  Now we can go through the rest of the questions.

Part A

(1,0) and (5,0)

Part B

The vertex is (3, - 4) See the completed square above.

Part C

It's a minimum. It is the point between the two roots on the x axis. The vertex drops below the x axis.

Part D

The axis of symmetry goes through the x value of the minimum.

x = 3

The answers are all in parts A B C D. I leave you to figure out where to put them.  You should be able to do that.

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Find an equation of the line. Write the equation using function notation.
Gemiola [76]

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

y = -4x+9

Step-by-step explanation:

Given equation of line is:

4y=x-8

We have to convert the given line in slope-intercept form to find the slope of the line

So,

Dividing both sides by 4

\frac{4y}{4} =\frac{x-8}{4}\\y = \frac{1}{4}x-\frac{8}{4}\\y = \frac{1}{4}x-2

Let m1 be the slope of given line

Then

m_1 = \frac{1}{4}\\

Let m2 be the slope of line perpendicular to given line

As we know that produt of slopes of two perpendicular lines is -1

m_1.m_2 = -1\\\frac{1}{4} . m_2 = -1\\m_2 = -1*4\\m_2 = -4

The slope intercept form of line is given by:

y = m_2x+b

Putting the value of slope

y = -4x+b

to find the value of b, putting (3,-3) in equation

-3 = (-4)(3) + b\\-3 = -12 +b\\b = -3+12\\b = 9

Putting the value of b in the equation

y = -4x+9

Hence,

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

y = -4x+9

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/4837736
  • brainly.com/question/4805611

#LearnwithBrainly

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Please see attached below and please explain how to solve.
densk [106]

Answer:

  The 6% simple interest account earns more interest in 2 years.

Step-by-step explanation:

You can compare the multipliers in the interest formulas.

For simple interest, the amount in the account (A) starting with principal P and earning at rate r for t years will be ...

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For the values given, r=.06 and t=2, the multiplier is ...

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__

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