Answer:
False
Step-by-step explanation:
The two factors must be negative to result in the negative sum of -35 when added.
Answer:
5.5
Step-by-step explanation:
y = 0.5x + 5
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0.5
y-intercept: 5
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding values.
To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y.
y = 0.5(0) + 5
y = 5
To graph the y intercept using the equation of the line, plug in 1 for the x variable and solve for y.
y = 0.5(1) + 5
y = 5.5
Which means when x is 0, y intercept at 5 and when x is 1 y intercept at 5.5. Graph the line using the slope and the y-intercept, or the points.
This tells us, in practical terms, that, for every one unit that the x-variable increases (that is, moves over to the right), the y-variable increases (that is, goes up) by 50% of a unit.
Answer:
6a) 1
6b) 11
7a) 4
7b) 10
8a) 6
8b) 14
9a) 11
9b) 13
Step-by-step explanation:
In order to make a triangle, we need to follow this property:
a <= b + c
(Known as "triangle inequality")
Where 'a' is the bigger side and 'b' and 'c' are the other two sides.
So, using this property, we can solve the following problems:
6a) Maximum side will be 6:
6 <= 5 + c
c = 1
6b) Minimum sides will be 5 and 6:
a <= 5 + 6
a = 11
7a) Maximum side will be 7:
7 <= 3 + c
c = 4
7b) Minimum sides will be 3 and 7:
a <= 3 + 7
a = 10
8a) Maximum side will be 10:
10 <= 4 + c
c = 6
8b) Minimum sides will be 4 and 10:
a <= 4 + 10
a = 14
9a) Maximum side will be 12:
12 <= 1 + c
c = 11
9b) Minimum sides will be 1 and 12:
a <= 1 + 12
a = 13
The two<span> lines in the </span>system<span> are converging as x increases and will eventually intersect, meaning that there is one </span>solution<span> for this </span>system<span>. C) Incorrect. </span>Systems<span>of </span>linear equations<span> can only </span>have<span> 0, 1, or an infinite number of </span>solutions. Thesetwo<span> lines cannot intersect twice.</span>
For question 2 the answer is 420 calories
for question 3 answer is 53 7/8 feet
