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Lilit [14]
3 years ago
10

Find an ordered pair (x, y) that is a solution to the equation. 5x-y=5 (x, y) = ?

Mathematics
1 answer:
Sonja [21]3 years ago
8 0
Hi there!

There are multiple solutions to your question. Some possible solutions could be the following:
(0, -5)
(1, 0)
(2, 5)
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Mary is preparing for her college entrance exams in a practice test she answered 12 problems in 30 minutes at this rate how many
kap26 [50]

Answer:

40 problems in 100 minutes

Step-by-step explanation:

This is a ratio problem.

You first divide 30 minutes by three to get how many problems she can do in 10 minutes. What you do to one side you do to the other side. So then, you should have 4 problems in 10 minute. Then, you multiply 10 by 10 and 4 by 10 to get 40 problems in 100 minutes.

6 0
3 years ago
Derive the equation of the parabola with the focus <br> is (-7,5) and the directrix of y=-11
Volgvan
So, notice, the focus point is at -7, 5, and the directrix is at y = -11.

keep in mind that the vertex is half-way between those two fellows, and the distance from the vertex to either one of them is "p" units, check the picture below.

with that focus point and that directrix, the half-way over the axis of symmetry will be -7, -3, that's where the vertex is at, and notice the distance "p", is 8 units.

since the parabola is opening upwards, "p" is positive 8.

\bf \textit{parabola vertex form with focus point distance}\\\\&#10;\begin{array}{llll}&#10;4p(x- h)=(y- k)^2&#10;\\\\&#10;\boxed{4p(y- k)=(x- h)^2}&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ( h, k)\\\\&#10; p=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;h=-7\\&#10;k=-3\\&#10;p=8&#10;\end{cases}\implies 4(8)[y-(-3)]=[x-(-7)]^2&#10;\\\\\\&#10;32(y+3)=(x+7)^2\implies y+3=\cfrac{1}{32}(x+7)^2&#10;\\\\\\&#10;y=\cfrac{1}{32}(x+7)^2-3

8 0
3 years ago
I need help answering
Marizza181 [45]

Fill in the values and calculate:

1/4 * 6 + 3*7 = 6/4 + 21 = 22 1/2

4 0
3 years ago
I am trying to fill in a table for simple interest. I know the basic formula but can't do it unless I know interest,principal,to
ICE Princess25 [194]
The formula for simple interest is Interest= Principle·Rate·Time If one of these is missing, just plug in what you know. For example, if time if the principle is missing just plug in the rest. Say the interest is $264, the rate is 6% and the time is 2 years. When its plugged it, it looks like this: 264= P ·0.06·2 Now you can work it out 0.06·2 is 0.12 so 264=P 0.12. Just divide by 0.12 and your done! You can do this with any letter and just put in the info you know. I hope that this helps you! :)
8 0
3 years ago
The graph of a quadratic function is shown. Check all of the following statements that are true of the function.
Fed [463]

Answer:

a < 0

The vertex is (1,2)

Step-by-step explanation:

Looking at the graph

we have a vertical parabola open downward

The leading coefficient is negative

The vertex is a maximum

The vertex is the point (1,2)

The axis of symmetry is equal to the x-coordinate of the vertex, so the axis of symmetry is x=1

The y-intercept is the point (0,1)

The function has two real solutions (zeros of the function) one positive and one negative

The positive zero of the function is greater than 2

The negative zero of the function is greater than -1

<u><em>Verify each statement</em></u>

case 1) a < 0

The statement is true

Because the parabola open downward

case 2) The vertex is (1,2)

The statement is true

The vertex in this problem is the maximum of the function

case 3) The axis of symmetry is y =2

The statement is false

Because the axis of symmetry is x=1

case 4) x = 2 is a zero of the function

The statement is false

Because the positive zero of the function is greater than 2

case 5) (1,2) is a minimum

The statement is false

Because the vertex in this problem is a maximum

4 0
3 years ago
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