Answer:
<em><u>1=</u></em><em><u> </u></em> 237
<em><u>2=</u></em> 200
<em><u>3</u></em><em>= </em>49
<em><u>4=</u></em> 50
<em>I'm </em><em>99% </em><em>sure these are right.</em>
<em> --------------------------------------------------------</em>
<em> </em><u><em>please let me know if </em></u><u>any are wrong.</u>
<h2>
Have a good day<3</h2><h2>
</h2><h2>
</h2>
Answer:
(1)7 (2)9 (3)6
Step-by-step explanation:
![\left|\begin{array}{c|cc}X&f(X)=X^2+7\\--&-----\\2&11\\3&16\\4&23\\5&32\\6&43\end{array}\right|](https://tex.z-dn.net/?f=%5Cleft%7C%5Cbegin%7Barray%7D%7Bc%7Ccc%7DX%26f%28X%29%3DX%5E2%2B7%5C%5C--%26-----%5C%5C2%2611%5C%5C3%2616%5C%5C4%2623%5C%5C5%2632%5C%5C6%2643%5Cend%7Barray%7D%5Cright%7C)
(1)The average rate of change between x=2 and x=5
![\dfrac{dy}{dx} =\dfrac{f(5)-f(2)}{5-2} =\dfrac{32-11}{3} =\dfrac{21}{3} =7](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%20%3D%5Cdfrac%7Bf%285%29-f%282%29%7D%7B5-2%7D%20%3D%5Cdfrac%7B32-11%7D%7B3%7D%20%3D%5Cdfrac%7B21%7D%7B3%7D%20%3D7)
(2)The average rate of change between x=3 and x=6
![\dfrac{dy}{dx} =\dfrac{f(6)-f(3)}{6-3} =\dfrac{43-16}{3} =\dfrac{27}{3} =9](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%20%3D%5Cdfrac%7Bf%286%29-f%283%29%7D%7B6-3%7D%20%3D%5Cdfrac%7B43-16%7D%7B3%7D%20%3D%5Cdfrac%7B27%7D%7B3%7D%20%3D9)
(3)The average rate of change between x=2 and x=4
![\dfrac{dy}{dx} =\dfrac{f(4)-f(2)}{4-2} =\dfrac{23-11}{2} =\dfrac{12}{2} =6](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%20%3D%5Cdfrac%7Bf%284%29-f%282%29%7D%7B4-2%7D%20%3D%5Cdfrac%7B23-11%7D%7B2%7D%20%3D%5Cdfrac%7B12%7D%7B2%7D%20%3D6)
Answer:
D. 50°
Step-by-step explanation:
We know that there are 3 line segments that are forming the angles. Based on that, we can safely say that each line segment is 180°. Given that, we can find the other 2 interior angles of the triangle. We know that one of the exterior angles is 90° so that interior angle also has to be 90° because both angles have to sum to 180. The 2nd exterior angle that we know is 140, so 180-140 = 40°. Since we know the other 2 angles of the triangle now and we know that all the angles of a triangle must sum to 180°, we add 90 and 40 to get 130 and then subtract that from 180 to get 50°. That would look something like this: 180-(90+40) = 180 - 130 = 50°. Hope this helps!
19.8 rounded to 1 s.f. is
20
Answer:
8y^15/27x^12
Step-by-step explanation:
-3 is a negative index
to clear the negative sign. we make it a reciprocal of the expression rise to the power of 3.
expand the bracket the power of three