Do y = 3/4x +6 and y = -3/4x + 5 have only one solution

suzette went to the store and bought some eye liner for $2.50. two weeks later, the price of the eyeliner was increased by 50%.

Dmitrij [34]

Answer:

$5.00

Step-by-step explanation:

Since the eyeliner went up and doubled in price, you simply multiply 2.50 by 2, and you get $5.00

4 0

3 years ago

It is a solid shape that contains lateral surface and two circular bases which are parallel and congruent.

ad-work [718]

Answer:

B (cylinder)

Step-by-step explanation:

Two circular bases which are parallel and congruent :

This basically means that the shape contains a circular base (supposedly the bottom), but since it has two bases, its on the top and the bottom. Because it's congruent, the bases are both equal in shape and size. It is also parallel as well, in which the bases have the same distance between them.

The cube doesn't have any circular bases.

The sphere doesn't have any faces, nor edges.

A cone has a circular base, but it doesn't have two.

A cylinder has two circular bases, as well as they are parallel and congruent.

So, your answer is B (cylinder).

Hope this helped !

8 0

2 years ago

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

Nina's net income was $423.65,and her gross income was $558.What was the total amount of deductions?

kompoz [17]

Gross=amount earned not minusing tax
net=amount earned minus tax

gross=558
net=423.65

deduction=gross-net
deduction=558-423.65=134.35

deduction=$134.35

4 0

3 years ago

Which of the following equations is a direct variation? y=3X+2 y=5 y=2x y=8x+6

Alex

$direct \: varition \: means \: y \alpha x \\ it \: becomes \: y = kx$
So y=2x is the only answer that fit y=kx, while k=2

3 0

3 years ago