Answer:
See attached image
Step-by-step explanation:
If the number of blueberries is the x value, and number of calories is the y value, then we can create the ordered pairs (5,4) (10,8) (15,12) based on the data in the table.
Plotting these on the graph is simple - just go to the x value then the y value and plot where these lines meet.
The slope of a line is always the rise over run.
Every time our x increases by 5, our y increases by 4. The rise is 4, and run is 5, so the slope is 
Hope this helped!
Step-by-step explanation:
Solution
According to remainder theorem, when f(x) is divided by (x+2), Remainder =f(−2)
f(x)=5x3+2x2−6x+12
f(−2)=5(−2)3+2(−2)2−6(−2)+12
=5×−8+2×4+12+12
=−40+32=−8
∴ Remainder=−8
Answer:
Her electric toothbrush makes 210,000 rotations in one week
Step-by-step explanation:
Note that:
∵ Gerry brushes her teeth for two minutes, twice a day
→ Twice means times 2
∴ Gerry brushes her teeth for 2 × 2 = 4 minutes a day
∵ Gerry's electric toothbrush rotates the brush 125 times per second
∵ 1 minute = 60 seconds
→ Multiply 125 by 60 to find the number of rotating in 1 minute
∴ Gerry's electric toothbrush rotates 125 × 60 = 7,500 in 1 minute
∵ Gerry brushes her teeth for 4 minutes a day
→ Multiply it by 4 to find the number of rotation in 1 day
∴ Gerry's electric toothbrush rotates 7,500 × 4 = 30,000 in 1 day
∵ 1 week = 7 days
→ Multiply the number of rotation in 1 day by 7 to find it in 1 week
∴ Gerry's electric toothbrush rotates 30,000 × 7 = 210,000 in 1 week
∴ Her electric toothbrush makes 210,000 rotations in one week
Find midpoint of segment.
(-1,1), (7,-5)
Find slope of line which passes through (-1,1) and (7,-5).
The slope of perpendicular line is negative reciprocal value of m.
Write quation of line which slope is
and passes throug the point (3,-2).
Answer:
(x-5)(x+6)=0
Step-by-step explanation:
hehe i doing the smae unit rn.
if a=1 (which it does do ac factoring)
you need two numbers that multiply to -30 and add to 1. those numbers are 5 and -6.
substitute 1x for -5x + 6x.
group the numbers into pairs and find their gcf's
x(x-5) 6(x-5)
since the parenthesis r the same yo only need one. Now you need to put x and 6 in a parenthesis.
FINAL: (x-5)(x+6) hope this helps
