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aivan3 [116]
3 years ago
9

I need help with 14

Mathematics
2 answers:
In-s [12.5K]3 years ago
7 0
The answer is 1 ............................
Tomtit [17]3 years ago
4 0
His score must be 4 btw on number 15 part b. You put two ll’s and one s for Melissa while it is one l and two s
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Y=-x^2+6x-4<br> Find the Axis of Symmetry and the Vertex, Also solve the whole equation.
Inessa [10]

Answer:

1. <em>Axis of symmetry</em>: x = 3

2. <em>Vertex:</em> (3,5)

3. <em>Solution of the equation</em>:

<u />

  • x-intercepts:

               (3-\sqrt{5},0) \\\\(3+\sqrt{5},0)

  • y-intercept: (0, -4)

Explanation:

<u>1. Equation:</u>

    y=-x^2+6x-4

<u>2. </u><em><u>Axis of symmetry:</u></em>

That is the equation of a parabola, whose standard form is:

                 y=ax^2+bx+c

Where:    

                 a=-1;b=6;c=-4

The axis of symmetry is the vertical line with equation:

               x=-b/2a

Substitute  a=-1,\text{ and }b=6

          x=-6/[(2)(-1)]=-6/(-2)=3

Thus, the axis of symmetry is:

            x=3

<em><u>3. Vertex</u></em>

<em><u /></em>

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

               y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5

Therefore, the vertex is (3, 5)

<u>4. Find the x-intercepts</u>

The x-intercepts are the roots of the equation, which are the points wher y = 0.

        y=-x^2+6x-4=0

Use the quadratic equation:

       x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}

<u>5. Find the y-intercept</u>

<u />

The y-intercet is the value of y when x=0:

         y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4

7 0
3 years ago
- vnuәуре отти аропс
Daniel [21]

equation in slope-intercept form is:

y=9x+7

Step-by-step explanation:

The general form of slope-intercept form is:

y=mx+b

where m is the slope and b is the y-intercept

In the question we are given slope m=9 and a point(0,7)

We will find b i.e y-intercept

y=mx+b\\7=9(0)+b\\7=0+b\\b=7

So, value of b=7 and value of slope m=9

So, equation in slope-intercept form is:

y=9x+7

Keywords: slope-intercept form

Learn more about slope-intercept form at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240
  • brainly.com/question/2601054

#learnwithBrainly

8 0
3 years ago
Pleeasee help this is khan academy :(
Dahasolnce [82]

Answer:

1/2

Step-by-step explanation:

hope this helps

6 0
2 years ago
Read 2 more answers
Osama starts with a population of 1,000 amoebas that increases 30% in size every hour for a number of hours, h. The expression 1
Blizzard [7]

Answer: The correct option is A, itis the product of the initial population and the growth factor after h hours.

Explanation:

From the given information,

Initial population = 1000

Increasing rate or growth rate = 30% every hour.

No of population increase in every hour is,

1000\times \frac{30}{100} =1000\times 0.3

Total population after h hours is,

1000(1+0.3)^h

It is in the form of,

P(t)=P_0(t)(1+r)^t

Where P_0(t) is the initial population, r is increasing rate, t is time and [tex(1+r)^t[/tex]  is the growth factor after time t.

In the above equation 1000 is the initial population and (1+0.3)^h is the growth factor after h hours. So the equation is product of of the initial population and the growth factor after h hours.

Therefore, the correct option is A, itis the product of the initial population and the growth factor after h hours.

3 0
3 years ago
Read 2 more answers
the family fine arts center charges $24 per adult and $12 per senior citizen for its performances. on a recent weekend evening w
Leto [7]

337 were senior citizens.

What is the system of equations?

A system of equations, also known as an equation system or a set of simultaneous equations, is a finite set of equations for which common solutions are sought.

Here, we

Let

x = the number of adult tickets sold

y = the number of senior tickets sold

483 people paid admission => a total of 483 tickets were sold and

x + y = 483

the total receipts were $7548

24x + 12y = 7548

by solving the system of equations

x + y = 483....(1)

24x + 12y = 7548....(2)

From equation (1), we get

x = 483-y....(3)

Now, we put the value of x in equation (2) and we get

24(483 - y) +12y = 7548

11592 - 24y + 12y = 7548

12y = 4044

y = 337

Now, we put the value of y in equation (1) and we get

x = 483 - 337

x = 146

Hence, 337 were senior citizens.

To learn more about the system of equations from the given link

brainly.com/question/25976025

#SPJ4

7 0
1 year ago
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