Range is the y-values.
So the y-values are: {1,2,3,4}
Answer:
x = 11, y=-½
Step-by-step explanation:
Simultaneous equations - subtract the first equation from the second.
x + 4y = 9
-(x - 2y = 12)
6y = -3
y = -½
Substitute y
x + 4(-½) = 9
x + -2 = 9
x = 11
In function notation (f(x)=mx+b) m represents the slope and b represents the y-intercept.
In a straight horizontal line the slope is always 0. This cancels out the 'x' factor so you get f(x)=b.
To find b you simply look at where the line crosses the y-axis. in this case it crosses at 2.
When you plug in the y-intercept you get f(x)=2
I would write a proportion, I can't use a fraction bar so they will just be on top of each other:
Blueberry Muffins 6
Apple Muffins 5
For every 6 Blueberry muffins there are 5 apple muffins (dozens)
So when he makes 16 blueberry muffins (dozens)
You write it next to the '6' because it's talking about blueberry muffin dozens.
The proportion now:
Blueberry Muffins 6 16
Apple Muffins 5 x
To find x, or the number of apple muffin dozens, you multiply 16 * 5, which is
80.
Then divide by 6.
80/6= 13.333
You can't have .333 of a dozen, so round it to 13.
***ANSWER***
He prepared 13 Apple muffin dozens.
Hope this helped <3
An acute angle is one that measures LESS than 90˚
An obtuse angle is one that measures between 90˚ and 180˚
A reflex angle is an angle that measures between 180˚ and 360˚
There are other many types of angles such as alternate angles and corresponding angles, but those 3 are the main ones.
Have a great day <3
