Answer:
Y=7.5x
Step-by-step explanation:
8-5=3 and 60-37.5 is 22.5 divide 22.5 by 3 and you get 7.5 which is the rate that he earns an hour
First, make sure the mean value theorem applies for the given <em>f</em> . Its domain is <em>x</em> + 1 > 0, or <em>x </em>> -1, and it's continuous and differentiable on its domain, so all is well.
By the MVT, we have for some <em>c</em> in the open interval (1, 4),
<em>f '</em> (<em>c</em>) = (<em>f</em> (4) - <em>f</em> (1)) / (4 - 1)
<em>f</em> (<em>x</em>) = 5 cos²(<em>x</em>/2) + ln(<em>x</em> + 1) - 3
→ <em>f</em> (4) = 5 cos²(2) + ln(5) - 3
→ <em>f</em> (1) = 5 cos²(1/2) + ln(2) - 3
→ <em>f '</em> (<em>c</em>) = (5 cos²(2) + ln(5) - 3 - 5 cos²(1/2) - ln(2) + 3) / 3
-5 cos(<em>c</em>/2) sin(<em>c</em>/2) + 1/(<em>c</em> + 1) = (5 (cos²(2) - cos²(1/2)) + ln(5/2)) / 3
-15 sin(<em>c</em>) + 6/(<em>c</em> + 1) = 10 (cos(4) - cos(1)) + 2 ln(5/2)
You'll need the help of a calculator to solve this. Over the interval 1 < <em>c</em> < 4, there are two solutions <em>c</em> ≈ 1.0525 and <em>c</em> ≈ 2.217.
Answer:
0
Step-by-step explanation:
You can't make 0.2 as a whole number so we can round it to the nearest whole number, 0.
Answer:
x = 2
Step-by-step explanation:
3(x - 4) = 2x - (6 + x) first get rid of parenthesis
3(x - 4) = 3x - 12 and
2x - (6 + x) = 2x - 6 - x
3x - 12 = 2x - 6 - x
3x - 12 = x - 6 export like terms to the same side
3x - x = 12 - 6
2x = 6 divide both sides by 2
x = 3