Answer:
<u>Test the conjecture for 10 even numbers</u>
10 = 3 + 7
12 = 5 + 7
14 = 7 + 7
16 = 5 + 11
18 = 5 + 13
20 = 7 + 13
22 = 11 + 11
24 = 11 + 13
26 = 13 + 13
28 = 11 + 17
<u>Do you think the conjecture is true? Why or why not?</u>
I believe the conjecture is true because the sum of two odd numbers is an even number and you can find two prime odd numbers for every even number whose sum is that even number.
First we need to find the slope
y2-y1/x2-x1
-6-4/-3-2
-10/-5 <---this can be simplified
Slope=2
Point slope:
y-y1=m(x-x1)
Now take the first pair of coordinates and plug them in their proper spots it helps to label them then plug in
y1=4
x1=2
m=slope=2
Now plug them in our final answer would be :
y-4=2(x-2)
Slope intercept:
<span>y = mx + b
</span><span>where:
m is the slope of the line
b is the y-intercept of the line
Slope is known
y=2x+b
To find the b you pick one of the given coordinates let's do (2,4)
Plug them into what we have
y=2x+b
4=2(2)+b
solve for b
4=4+b
subtract 4 from both sides
b=0 therefore the equation would simply be
y=2x</span>
Answer:
Step-by-step explanation:
A.) As the number of hours spent on homework increases, the test scores received also most likely will increase.
B.) If someone does 2 hours of homework, you just sub in 2 for x, so you should get the equation y=8(2)+40, or a score of 56.
C.) The 40 is the y intercept, which means that the student is guaranteed to get at least a 40 on a test even if they study for 0 hours.
Hope this helps :)
Every six days he'd drink 1,050 liters because
350 liters every 2 days -
350 x 2 = 700
700 liters every 4 days -
2 x 3 = 6
1,050 liters every 6 days.
Hope this helps.
Answer:
5
Step-by-step explanation:
= 25
/take square root of both sides
c = 5 /square root of 25 is 5
