Answer:
-123
Step-by-step explanation:
The remainder theorem says that when a polynomial is divided by a linear factor x - c (note the minus sign), the remainder is the value of the polynomial at x = c.
When a polynomial P(x) is divided by x - c, the remainder is P(c). In other words, to find the remainder, plug in c for x.
You're dividing by x + 4 which is the same thing as x - (-4) -- the role of c is being played by -4.
3(–4)^3 – (–4)^2 – 20(–4) + 5 = –123
Answer:
Answer: Around 1000 students would buy a school lunch.
Step-by-step explanation:
We know that in one class, 14 students bring lunch from home, and 20 buy lunch in the school. This will be our sample.
In total we have 20 + 14 = 34 students, this will be our 100%.
The percentage of students that bring lunch from home can be estimated as the quotient between the number of students that bring lunch from home and the total number of students, times 100%.
p1 = (14/34)*100% = 41.18%
And the percentage of students that buy lunch at school can be computed in the same way:
p2= (20/34)*100% = 58.82%
Then, out of the 1700 students in middle school, we can estimate that around 58.82% of them will buy lunch in the school.
Then the exact number will be:
N = (58.82%/100%)*1700 = 1000
Around 1000 students would buy a school lunch.
Answer:
first box (x): 10
second box (y): 12
Step-by-step explanation:
HIJ is a translation of HIJ
translation just means you move the whole thing without any rotations dialations ect just moving it
from the blue shape it is asking what do you have to do to the x and y to get to the purple shape
you have to go +_x and take away _y
when you add a digit to x it moves to the right
when you add a digit to y it goes one up
because the HIJ are equaly spaced it dosnt matter which one we choose cause it will have the same answer
im going to use J
on the blue J you can see the x value is -8
the purple J's value is 5
to get from -5 to 5 you add 10
-5+5=0
0+5=5
5+5=10
therefore the first box (x) is 10
same thing for the y value im going to use J again
blue y value of J is 7
purple y value of J is -5
their distance is 12
7-7=0
0-5=-5
7+5=12
second box (y) is 12
i hope this helps
Answer:
62 miles per hour/62 mph
Step-by-step explanation:
Shania drives at a CONSTANT rate, which means in the 5 hours it took her to drive, each hour she drove the same amount.
So we need to do 310 miles in 5 hours, which is:
310/5
Solving this, we get:
62
The answer is 62 miles per hour.
Happy learning!
Answer:
i think you reflect across the axis
Step-by-step explanation:
i learned this
: )
