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Kamila [148]
4 years ago
11

The linear equation 3x – 11y = 10 has

Mathematics
1 answer:
storchak [24]4 years ago
7 0

Answer:

Correct option: c) infinitely many solutions

Step-by-step explanation:

We have an equation with two variables, so as we have a system with less equations (just one) than variables (two), we have an infinite number of solutions.

To find some solutions, we can choose values for x and then just calculate the value of y:

x = 0:

-11y = 10 -> y = -10/11

x = 1:

3 - 11y = 10 -> y = -7/11

x = 2:

6 - 11y = 10 -> y = -4/11

And so on.

So the correct option is c): infinitely many solutions

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Write the quadratic function in vertex form, then identify the vertex
34kurt

Answer:

vertex = (- 10, - 10 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

h(x) = x² + 20x + 90

add/subtract ( half the coefficient of the x- term )²

h(x) = x² + 2(10)x + 100 - 100 + 90

      = (x + 10)² - 10 ← in vertex form

with (h, k ) = (- 10, - 10 )

8 0
3 years ago
Please find the gradient of the given lines when coordinates of the lines are not given. Please with detailed steps.
Rzqust [24]
Line 1 = 0
Line 2 = undefined

Explanation:

Line 1 = rise/run = 0
Line 2 = rise/run = 0/0 = undefined
5 0
3 years ago
Read 2 more answers
Need Help fast please !
balandron [24]
Answer:
66

Explanation:
Volume for any prism=base area*height

The base is a triangle and the formula to find the area of a triangle is Area=(base*height)/2. Once we input the values it would look like:

Area=(4*3)/2
A=12/2
A=6

In this case, the height of the prism would be 11. Now we input our values for finding the volume:

Volume for any prism=base area*height
Volume=6*11
Volume=66

I hope this helps! Please comment if you have any questions.
8 0
3 years ago
Xác suất xảy ra môt sự kiện là 0.3. Xác suất để sự kiện đó không xảy ra là?
hodyreva [135]

Câu trả lời:

0,7

Giải thích từng bước:

Xác suất để một sự kiện xảy ra = 0,3

Cho sự kiện = A

P (A) = 0,3

Xác suất mà sự kiện không xảy ra có thể thu được bằng cách sử dụng quy tắc bổ sung;

P (A ') = 1 - P (A)

Vì thế,

P (A ') = 1 - 0,3 = 0,7

3 0
3 years ago
There are 6,000 products at the store in one hour, 425 products are sold how products are left
wariber [46]

Answer:

5575

Step-by-step explanation:

its just subtraction you take the 6000 and subtract 425 and thats how you get whats left they try to trick you using the time im guessing correct me if im wrong

3 0
3 years ago
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