Answer:
$4.2
Step-by-step explanation:
1. 12%=0.12
2. 0.12 of $35 = 0.12 × $35
3. = $4.2
We know that
<span>1 1/8 gallons----------> (1*8+1)/8-------> 9/8 gallons
</span><span>13 1/2 miles----------> (13*2+1)/2-------> 27/2 miles
if 9/8 gallons-------------------> 27/2 miles
1 gallons----------------------> X
X=(27/2)/(9/8)---------> 216/18--------> 12 miles
the answer is 12 miles</span>
Hello there!
To find the fraction of applicants that are accepted into the Ivy League college, all you have to do is put the number of students accepted (numerator) over the total number of students that apply (denominator). This makes the fraction 5/100. This fraction can be simplified. To simplified, find the GCF of the two numbers. The GCF of 5 and 100 is 5. Divide both parts by 5. 5/100 ÷ 5/5 is 1/20. There. 5/100 is 1/20 in simplest form. The Ivy League college accepts 1/20 of it's applicants.
The tangent line to a curve is the one that coincides with the curve at a point and with the same derivative, that is, the same degree of variation.
We have then:
y = 5x-x²
Deriving:
y '= 5-2x
In point (1, 4)
The slope is:
y (1) '= 5-2 * (1)
y (1) '= 3
The equation of the line will be:
y-f (a) = f '(a) (x-a)
We have then:
y-4 = 3 (x-1)
Rewriting:
y = 3x-3 + 4
y = 3x + 1
Answer:
the tangent line to the parabola at the point (1, 4) is
y = 3x + 1
the slope m is
m = 3
Here, as the sides are equal, middle line would be exact half then the longer (bottom) side of the triangle.
48 = 2(3x)
6x = 48
x = 48/6
x = 8
In short, Your Answer would be Option D
Hope this helps!
