Answer:
B. x-intercept: -7; y-intercept: 9
Answer:
56.25km
Step-by-step explanation:
75min = 5/4 h
distance = speed * time = 45 * 5/4 = 56.25
Put 8 into fraction form: 8/1
Put 1 2/5 into a mixed number: 1*5+2 as numerator and 5 as denominator (7/5)
Now multiply 8/1 by the reciprocal of 7/5, which is basically just the numerator and denominator flipped, so 5/7. This is like dividing.
8/1*5/7= 40/7
40/7= about 5.7.
So, your answer would be 5.7 batches, or 5 complete batches would be a better answer.
f'(x) = (4 arctan(7x))'
f'(x) = 4 (arctan(7x))'
By the chain rule,
f'(x) = 4/(1 + (7x)^2) * (7x)'
f'(x) = 28/(1 + 49x^2)
and hence
f'(4) = 28/(1 + 49*16) = 28/785
In case you're not sure about the derivative of arctan: If y = arctan(x), then x = tan(y). Differentiating both sides with respect to x gives
1 = sec^2y y' = (1 + tan^2y) y' = (1 + x^2) y'
==> y' = 1/(1 + x^2)
Easy I guess ..
I ll try to help ..
Here we go ..
The cards you have is N
The cards he has is n
<span>you have 3 times the number of cards he has
This means N=3n
</span><span> you only have 80 more football cards then he does
This means N=n+80
But we already know that N=3n
So 3n=n+80
which is 2n=80
n=40
So your friend has only 40 cards and you have 3*40= 120 cards
Best luck
Wise</span>