Answer: 3/5
Step-by-step explanation: To find the reciprocal of 1 and 2/3, we first need to convert 1 and 2/3 to an improper fraction.
To write a mixed number as an improper fraction, first multiply the denominator times the whole number, then add the numerator.
So here, we multiply the denominator, 3, times the whole number, 1, then we add the numerator. So we have (3 x 1) + 2 or 3 + 2 which is 5.
Now we put our new number over our old denominator and we get 5/3.
However, we're not done yet. We still need to find the reciprocal.
The reciprocal describes a fraction so when we're asked to find the reciprocal of 5/3, we want to switch the numerator and denominator.
So if we switch 5/3, we get the proper fraction 3/5.
Therefore, the mixed number 1 and 2/3 is equivalent to the improper fraction 5/3, and if we switch the top and bottom numbers, we get 3/5.
Answer:
The graph of g(x) is wider.
Step-by-step explanation:
Parent function:
New function:
<u>Transformations</u>:
For a > 0
If the parent function is <u>shifted ¹/₄ unit up</u>:
If the parent function is <u>shifted ¹/₄ unit down</u>:
If the parent function is <u>compressed vertically</u> by a factor of ¹/₄:
If the parent function is <u>stretched horizontally</u> by a factor of ¹/₂:
Therefore, a vertical compression and a horizontal stretch mean that the graph of g(x) is wider.
Answer:
A:
2(x + 2) + 2(2x - 5) =
2x + 4 + 4x - 10 =
6x - 6
perimeter = 6x - 6
B:
(x+2)(2x - 5) expand the brackets:
2x² - 5x + 4x - 10
area = 2x² - x - 10
C:
area = 6x - 6 = (6 x 5) - 6 = 30 - 6 = 24
perimeter = 2x² - x - 10 = (2 x 5²) - 5 - 10 = (2 x 25) - 5 - 10 = 50 - 5 - 10 = 35
brainliest please? x
Answer:
The red line represents the equation 2x-3y=-6 , and the solution to the system of equations is (–4, 2).
Step-by-step explanation:
hope this helps
