F '(x<span>) = </span>2(3x2<span> + 5) + 6x(</span>2x<span> - </span>1<span>) ... + </span>3), s(x<span>) = </span>x<span> - 4. Use the </span>product<span> rule table. below to get: r'(</span>x) = 20x + 11. s'(x<span>) = </span>1<span> ... f'(</span>x) = (x<span> - 4</span>)(20x + 11) - (5x<span> - </span>2)(2x<span> + </span>3)/(x<span> - 4)</span>2<span>.</span>First, we will distribute 2x<span> to (</span>x<span> + 5), then we will distribute </span>3<span>. ... </span>5x<span>. That is,. multiplying binomials. 6x − </span>x<span>= </span>5x<span>. Example </span>2<span>. Multiply (3x − </span>1)(x<span> + </span>2). Answer. 3x2<span> + </span>5x<span>
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y=1/3x-1
We know straight away that the y intercept is -1 from the equation.
y-intercept: (0,-1)
To find the x intercept plug in 0 for y in the equation.
y=1/3x-1
0=1/3x-1
1/3x=1
x=3
x-intercept: (3,0)
answers: y-intercept: (0,-1) and x-intercept: (3,0)
Answer:
-(276÷0.12)=-2300
Step-by-step explanation:
Answer:
(6x + 5)(7x² - 6)
Step-by-step explanation:
Factor the first/second and third/fourth term
42x³ + 35x² - 36x - 30
= 7x²(6x + 5) - 6(6x + 5) ← factor out (6x + 5) from each term
= (6x + 5)(7x² - 6)
The tip of the hand travels the circumference of a circle with radius (r) 9.5 cm every hour;
The formula for circumference of a circle (c) is:
c = πd = 2πr
So, for a circle with radius 9.5, the circumference is:
c = 2π(9.5)
= 19π cm
The tip travels 19π cm every hour, so in a day of 24 hours it will travel:
24 * 19π = 456π cm
(= 1432.566... ⇒ 1432.6 cm)