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Sholpan [36]
3 years ago
12

Solve the following proportion for x.

Mathematics
2 answers:
artcher [175]3 years ago
8 0

Answer:  5 2/5, or 5.4

Step-by-step explanation:

9/x = 5/3

5x = 27

x = 27/5, or 5 2/5

2/5 = 0.4

5.4

----

9/5.4 = 1.666 . . .

5/3 =  1.666 . . .

Veronika [31]3 years ago
3 0

Answer:

15

I HOPE IT WILL HELP YOU. .....

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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
What is the equation of this line in slope-intercept form?
12345 [234]

Answer:

y = -2x + 5

Step-by-step explanation:

Slope-intercept form: y = mx + b

The slope of the line, m, is -2 because the line shows a negative trend and moves right 1 unit every time a point moves down 2 units.

The y-intercept, b, is 5 because the line crosses that number once on the y-axis.

7 0
2 years ago
PLEASE HELP AND I WILL GIVE BRAINLIEST
anyanavicka [17]

Answer:

b

Step-by-step explanation:

every cantaloup costs $3 so they would pay x × $3

but they got a $2 coupon so you have to deduct that.

4 0
2 years ago
Express 10 1/4 - 4 1/2 as a decimal
Ivahew [28]

Answer:

5.75

Step-by-step explanation:

10 1/4 = 10.25

4 1/2 = 4.5

10.25 - 4.5 = 5.75

4 0
3 years ago
If you know that 4 x 5 = 20 how can you use the Commutative order property of multiplication to find 5 x 4
notsponge [240]
Since you know what 4×5 is you just have to use the same answer
8 0
3 years ago
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