Which of the following figures has rotated 90 counterclockwise about the origin?
1 answer:
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Answer:
Price of each muffin = $1.25
Price of each granola bar = $1.6
Step-by-step explanation:
Group 1:
6 muffins, 12 granola bars
Total money paid = $26.70
Group 2:
8 muffins, 15 granola bars,
Total money paid = $34.00
To find:
Price of each item?
Solution:
Let the price of one muffin = $
Let the price of one granola bar = $
As per group 1, the equation can be written as:
As per group 2, the equation can be written as:
.... (2)
Let us use elimination method to solve for and
.
Multiplying equation (1) with 8 and subtracting (2) from it:
Using equation (1):
Therefore, the answer is:
Price of each muffin = $1.6
Price of each granola bar = $1.25
The number is 1
Step-by-step explanation:
Let x be the required number
Then according to given statement
Five times the difference of twice a number and seven is negative twenty-five.
Simplifying
Adding 35 on both sides
Dividing both sides by 10
Verification:
Hence,
1 is the number
Keywords: Linear equation
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Answer:
vertex = (2, - 9 )
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
x² - 4x - 5 ← is in standard form
with a = 1, b = - 4, thus
= -
= 2
Substitute this value into the quadratic for corresponding value of y
(2)² - 4(2) - 5 = 4 - 8 - 5 = - 9
vertex = (2, - 9 )