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3 years ago

A jar of jelly that weighs 4.25 Oz cost $2.89 what is the cost of 1 oz of jelly

1 answer:

7 0

In order to find the cost of one ounce, you need to first find the unit rate. This means divide $2.89 by 4.25, giving you .68 as your final answer. Hope I helped :)

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Y=-x^2+6x-4 Find the Axis of Symmetry and the Vertex, Also solve the whole equation.

Inessa [10]

Answer:

1. Axis of symmetry: x = 3

2. Vertex: (3,5)

3. Solution of the equation:

x-intercepts:

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

y-intercept: (0, -4)

Explanation:

1. Equation:

$y=-x^2+6x-4$

2. Axis of symmetry:

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:

$x=3$

3. Vertex

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)

4. Find the x-intercepts

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:

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

5. Find the y-intercept

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

4 years ago

19 ft -Itt Find the surface area of the cylinder.

Valentin [98]

Answer: how

Step-by-step explanation:

8 0

3 years ago

Given the piecewise function shown, find the value of h(–6). A) 1 B) 26 C) -23 D) -6

kirza4 [7]

Answer:

-22

Step-by-step explanation:

Which part of the function is valid when x = -6

The first part

h(-6) = 4x+2 and let x = -6

=4(-6) +2

= -24 +2

=-22

5 0

3 years ago

5/14 divided by 7/8 as a fraction

Westkost [7]

Answer:

20/49

Step-by-step explanation:

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3 years ago

Read 2 more answers

Z= 37 51 39 Triangles and Trigonometry

san4es73 [151]

Answer:

$z = { \tan( \frac{10}{8} ) }^{ - 1} \\ z =(51.34019174591)$

So the corect answer is (51)

5 0

3 years ago