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Thepotemich [5.8K]
3 years ago
5

HELP ME ASAP WITH 8! PLS!! I beg u..

Mathematics
1 answer:
lakkis [162]3 years ago
7 0
7. x=3 is the midpoint between the roots. The other root is x = 2*3 -(-5) = 11.

8a) f(x) = (x +3)^2 -49. The vertex is (-3, -49). The roots are -10, 4.

8b) y = (x+4)^2 -1. The vertex is (-4, -1). The roots are -5, -3.

8c) f(x) = 2(x +3)^2 -34. The vertex is (-3, -34). The roots are -3±√17.
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Use partial fraction expansion to evaluate: LaTeX: \int\frac{x-1}{x^2+3x+2}dx ∫ x − 1 x 2 + 3 x + 2 d x a. LaTeX: -2\ln\left|x+1
ohaa [14]

\frac{x-1}{x^2+3x+2}\\\frac{x-1}{(x+1)(x+2)}\\\frac{x-1}{(x+1)(x+2)}=\frac{A}{x+2}+\frac{B}{x+1}\\x-1=A(x+1)+B(x+2)\\\\\text{ Let } x=-1 \text{ then } -2=A(0)+B(-1+2) \text{ which means } B=-2\\\\\text{ Instead of choose } x \text{ to be -1, let's now set it equal to -2 to find } A\\\\-3=A(-1)+B(-2+2)\\-3=-A\\A=3\\\\ \text{ So your integral becomes } \\\int \frac{3}{x+2} dx+\int \frac{-2}{x+1} dx\\3 \ln|x+2|-2\ln|x+1|+C\\\\or\\-2\ln|x+1|+3\ln|x+2|+C

8 0
3 years ago
Simplify the expression
8_murik_8 [283]
(√3 + 1)/8 the answer to the question
7 0
3 years ago
Read 2 more answers
4x + 7 = 23slove this
Juli2301 [7.4K]

Given:

4x + 7 = 23

Let's solve for x.

First Step:

Subtract 7 from both sides

4x + 7 - 7 = 23 - 7

4x = 16

Next Step:

DIvide both sides by 4

\begin{gathered} \frac{4x}{4}=\frac{16}{4} \\  \\ x\text{ = 4} \end{gathered}

ANSWER:

x = 4

4 0
1 year ago
(a) Draw the net of a cube with sides 4 cm;
Lemur [1.5K]
A) draw a cube
i) 16cm
ii) 80 cm
b)64 cm
Ok so draw the outline of a cube with 4cm each. There is six sides and the area is just multiplying 4 by 4. So, since the area of each side is 16, and there is 6 sides, the surface area is 80 cm. The volume is just length x width x height (4x4x4) so it’s 64 cm cubed.
4 0
3 years ago
Plz help meh: What is the difference between 6 & 2⅚?​ Hurry >~<
prisoha [69]
2 5/6 = 17.6 - hope it help
8 0
3 years ago
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