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Nezavi [6.7K]
3 years ago
11

15 (x – 1) + 4 ( x + 3 ) = 2 ( x + 9) + 4

Mathematics
2 answers:
babymother [125]3 years ago
7 0

x=1.47

hope this helps

Rudiy273 years ago
3 0

Answer:

x=1.47

Step-by-step explanation:

15(x-1)+4(x+3)=2(x+9)+4

15x-15+4x+12=2x+18+4

19x-3=2x+22

17x=25

x=25/17

x=1.47

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Calculate the total area of the shaded region.
LUCKY_DIMON [66]

so hmmm seemingly the graphs meet at -2 and +2 and 0, let's check

\stackrel{f(x)}{2x^3-x^2-5x}~~ = ~~\stackrel{g(x)}{-x^2+3x}\implies 2x^3-5x=3x\implies 2x^3-8x=0 \\\\\\ 2x(x^2-4)=0\implies x^2=4\implies x=\pm\sqrt{4}\implies x= \begin{cases} 0\\ \pm 2 \end{cases}

so f(x) = g(x) at those points, so let's take the integral of the top - bottom functions for both intervals, namely f(x) - g(x) from -2 to 0 and g(x) - f(x) from 0 to +2.

\stackrel{f(x)}{2x^3-x^2-5x}~~ - ~~[\stackrel{g(x)}{-x^2+3x}]\implies 2x^3-x^2-5x+x^2-3x \\\\\\ 2x^3-8x\implies 2(x^3-4x)\implies \displaystyle 2\int\limits_{-2}^{0} (x^3-4x)dx \implies 2\left[ \cfrac{x^4}{4}-2x^2 \right]_{-2}^{0}\implies \boxed{8} \\\\[-0.35em] ~\dotfill

\stackrel{g(x)}{-x^2+3x}~~ - ~~[\stackrel{f(x)}{2x^3-x^2-5x}]\implies -x^2+3x-2x^3+x^2+5x \\\\\\ -2x^3+8x\implies 2(-x^3+4x) \\\\\\ \displaystyle 2\int\limits_{0}^{2} (-x^3+4x)dx \implies 2\left[ -\cfrac{x^4}{4}+2x^2 \right]_{0}^{2}\implies \boxed{8} ~\hfill \boxed{\stackrel{\textit{total area}}{8~~ + ~~8~~ = ~~16}}

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2 years ago
Identify the number that does not belong with the other three. Explain your reasoning. 50.1 repeating 1, negative 50 over 2, neg
Reika [66]
Square root 50 does not belong....all of the other numbers are rational numbers. square root 50 is irrational.
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B5x%2B3" id="TexFormula1" title="x^{2} +5x+3" alt="x^{2} +5x+3" align="absmidd
il63 [147K]
<h3>x²+5x+3+2x²+10x15 =0</h3><h3>x²+2x²+5x+10x+3+15=0</h3><h3>3x²+15x+18=0</h3><h3>3(x²+5x+6) =0 because 3 is common factor</h3><h3>3(x²+3x+2x+6) spill the middle term</h3><h3>3(x(x+3)+2(x+3) take the common factor from term</h3><h3>3(x+2) (x+3)</h3>

<h3>answer is 3(x+2) (x+3)</h3>

please mark this answer as brainlist

3 0
3 years ago
Solve for x. 4−(2x+4)=5
WITCHER [35]

4-(2x+4)=5\\-2x-4=1\\-2x=5\\x=-2.5

Put it back into the equation,

4-(2x+4)=5\\4-(2(-2.5)+4)=5\\4-(-5+4)=5\\4-(-1)=5\\5=5

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

3 0
3 years ago
Need help with this question
goldfiish [28.3K]

Answer:

x = 12

Step-by-step explanation:

Complementary angles add up to have a sum of 90 degrees. We can create an equation and solve for x.

3x + 6x - 18 = 90

~Simplify

9x - 18 = 90

~Add 18 to both sides

9x = 108

~Divide 9 to both sides

x = 12

Best of Luck!

4 0
3 years ago
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