Answer:
-5 and +7
Step-by-step explanation:
f(x) = (x²- 3x - 28)/(x² - 2x - 35)
The excluded values of x are those that make the denominator equal to zero.
x² - 2x – 35 =0
(x – 7)(x + 5) =0
x - 7 = 0
x = 7
x+ 5 = 0
x = -5
The excluded values of x are -5 and +7.
Answer:
the slope should be 20/21
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❖ The length of the field is 91 m.
Divide to find the missing length:
4641 ÷ 51 = 91
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Answer:
Step-by-step explanation:
We are asked to find the integral:
So, let's apply the vertices given in the question.
![\int\limits^1_0\int\limits_{2x}^{3-x}4xy\:dydx=\int\limits^1_0 2xy^2|_{2x}^{3-x}\:dx=\int\limits^1_0 2x[(3-x)^2-(2x)^2]\:dx=\\\\=\int\limits^1_0 2x(9-6x-3x^2)\:dx=6\int\limits^1_0 (3x-2x^2-x^3)\:dx=\\\\=6(\frac{3}{2}x^2-\frac{2}{3}x^3-\frac{1}{4}x^4)|^1_0=6(\frac{3}{2}-\frac{2}{3}-\frac{1}{4})=\frac{7}{2}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E1_0%5Cint%5Climits_%7B2x%7D%5E%7B3-x%7D4xy%5C%3Adydx%3D%5Cint%5Climits%5E1_0%202xy%5E2%7C_%7B2x%7D%5E%7B3-x%7D%5C%3Adx%3D%5Cint%5Climits%5E1_0%202x%5B%283-x%29%5E2-%282x%29%5E2%5D%5C%3Adx%3D%5C%5C%5C%5C%3D%5Cint%5Climits%5E1_0%202x%289-6x-3x%5E2%29%5C%3Adx%3D6%5Cint%5Climits%5E1_0%20%283x-2x%5E2-x%5E3%29%5C%3Adx%3D%5C%5C%5C%5C%3D6%28%5Cfrac%7B3%7D%7B2%7Dx%5E2-%5Cfrac%7B2%7D%7B3%7Dx%5E3-%5Cfrac%7B1%7D%7B4%7Dx%5E4%29%7C%5E1_0%3D6%28%5Cfrac%7B3%7D%7B2%7D-%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B4%7D%29%3D%5Cfrac%7B7%7D%7B2%7D)
Answer:
(i) X+2 and x+3;
(ii) x( x+4)= X^2 +4x;
(iii) x( x+4)=a
(x+1)(x+3)= a+3
Step-by-step explanation:
(i) X+2 and x+3;
(ii) x( x+4)= X^2 +4x;
(iii) (x+1)(x+3)=x^2+3X+X+3=x^2+4x+3;
x(x+4)=a
(x+1)(x+3)= a+3
