Answer:
It is the number written out to show each digit
Step-by-step explanation:
Let's say you have the number 459
you write out the hundredths place, which is 4 times 100
you write out the tenths place which is 5 times 10
and you write out the oneths place which is 9 times 1
the full thing written out is 459 = 100×4 + 5×10 + 9 × 1
Step-by-step explanation:
Slope, which is the same as gradient, is equal to
change in y axis ÷change in x axis
<h3>
</h3>
Our coordinates are (-12,-12) and (9,-9)
In (-12,-12),let the first -12 be <em>x1</em><em> </em>and the second one be <em>y1</em>
Same goes for the (9,-9), let 9 be <em>X2</em><em> </em>and -9l be <em>y2</em>
<em>
</em>
<em>
</em>
<em>
</em>
<em>=</em>0.1428571429
= 0.1429
Last one is your answer
------------------------------
Answer:
5
Step-by-step explanation:
The leading coefficient belongs to the term with the largest exponent
Given
5
- 7x³ + 2x + 1 ← in standard form
The leading term is 5 ← with leading coefficient 5
Get the derivative:
<em>y</em> = (9 - <em>x</em>²)¹ʹ³
d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ d/d<em>x</em> [9 - <em>x</em>²]
d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ (-2<em>x</em>)
d<em>y</em>/d<em>x</em> = -2/3 <em>x</em> (9 - <em>x</em>²)⁻²ʹ³
Evaluate it at <em>x</em> = 1 :
d<em>y</em>/d<em>x</em> (1) = -2/3 • 8⁻²ʹ³
Since 8 = 2³, we have
8⁻²ʹ³ = 1 / 8²ʹ³ = 1 / (2³)²ʹ³ = 1 / 2² = 1/4
Then the tangent line has equation
<em>y</em> - 2 = 1/4 (<em>x</em> - 1) → <em>y</em> = 1/4 <em>x</em> + 7/4
