Answer: 3
Explanation:
She wants to get 70%, so we need to solve
x/20 = 70/100
Doing so gets us
100x = 20*70
100x = 1400
x = 1400/100
x = 14
She needs to have 14 questions correct, out of 20, to get a score of 70%
14/20 = 0.70 = 70%
She needs to get 14-11 = 3 more correct questions.
Try grouping in paires
4x^3 + 28x^2 + 7x + 49
= 4x^2(x + 7) + 7(x + 7) - note that (x + 7) is common to the 2 parts, so
= (4x^2 + 7)(x + 7)
An irrational number.
Happy studying!
X+y+z=92
y=3x
z=2x-10
subsitute
x+3x+2x-10=92
6x-10=92
add 10 to both sdies
6x=102
divide by 6
x=17
subsitute
y=3x
y=3(17)
y=51
z=2x-10
z=2(17)-10
z=34-10
z=24
x=17
y=51
z=24
the numbers are 17,51,24
<span>If you plug in 0, you get the indeterminate form 0/0. You can, therefore, apply L'Hopital's Rule to get the limit as h approaches 0 of e^(2+h),
which is just e^2.
</span><span><span><span>[e^(<span>2+h) </span></span>− <span>e^2]/</span></span>h </span>= [<span><span><span>e^2</span>(<span>e^h</span>−1)]/</span>h
</span><span>so in the limit, as h goes to 0, you'll notice that the numerator and denominator each go to zero (e^h goes to 1, and so e^h-1 goes to zero). This means the form is 'indeterminate' (here, 0/0), so we may use L'Hoptial's rule:
</span><span>
=<span>e^2</span></span>
