Answer:
third graph and (3, -1)
Step-by-step explanation:
y = 2/3x - 3
y = -2x + 5
2/3x - 3 = -2x + 5
2 2/3x = 8
8/3x = 8
8x = 24
x = 3
find 'y'
y = -2(3) + 5
y = -1
The third graph is correct because it shows both a line intersecting the y-axis at -3 and the negative slope line is crossing at +5
Answer:
F(1)+F(5)= 30
Step-by-step explanation:
F(1)=1^2+2=1+2=3
F(5)=5^2+2=25+2=27
27+3=30
Answer:
Step-by-step explanation:
Comment
The shape consists of a rectangle on the bottom and a trapezoid on the top.
Rectangle
A rectangle has a very simple Area formula. It is Area = L*W. In this case the L = 14 m and is horizontal. The width is at right angles to the length and is marked as 3.
Area = L * w
L = 14
w = 3
Area = 14 * 3 = 42 m^2
Trapezoid
The trapezoid is a bit more complicated and some things have to be found. First of all b1 is the first base of the trapezoid. It is parallel to and equal to the Length of the rectangle. b2 is marked 10 meters. The height is just a bit more complicated. The total height of the figure is 8 m. You can't count the 3 m of the rectangle as part of the height because b1 comes only to the top of the rectangle. The height is 8 - 3 = 5
Area = 1/2(b1 + b2)*h/2
b1 = 14
b2 = 10
h = 8 - 3 = 5
Area = 1/2 ( 14 + 10) * 5 / 2
Area = 1/2 (24)*5
Area = 12 * 5
Area = <u> 60 m^2</u>
Total Area 102 m^2
Answer:
5 pints per hour.
Step-by-step explanation:
Morning:
Given:
Number of strawberries packed in every 4 minutes = 3
∴ Number of strawberries packed in every one minute = 
So, number of strawberries packed in every 60 minutes = 
1 hour = 60 minutes.
So, strawberries are packed at a rate of 45 pints per hour in the morning.
Afternoon:
Number of strawberries packed in every 3 minutes = 2
∴ Number of strawberries packed in every one minute = 
So, number of strawberries packed in every 60 minutes = 
1 hour = 60 minutes.
So, strawberries are packed at a rate of 40 pints per hour in the afternoon.
Difference between the packing rates is given as:
Morning rate - Afternoon rate = 45 - 40 = 5 pints per hour.
So, she packed 5 more pints in one hour in the morning than in the afternoon.
