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larisa86 [58]
3 years ago
8

Simplify the following expression and show your work in details please .

Mathematics
2 answers:
wel3 years ago
6 0

Answer:

9-2b

Step-by-step explanation:

Set up equation:

9 - 8b + 6b

Add like terms

9 - 2b

timurjin [86]3 years ago
4 0
9-8b+6b
You can combine -8b and 6b since it has the same variable.
That leaves
9-2b
Hope that helped!
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If 8y-8=24 find the value of 2y
Aloiza [94]

Answer:

8

Step-by-step explanation:

8y-8=24

+8 +8

8y=32

32/8 = 4

y=4

4*2=8

4 0
3 years ago
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X2 - 6x + 12 and y = 2x - 4, algebraically are
olga_2 [115]

<em><u>The solution is (4, 4)</u></em>

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

y = x^2 - 6x + 12 ------ eqn\ 1\\\\y = 2x - 4 ---------- eqn\ 2

<em><u>Substitute eqn 2 in eqn 1</u></em>

x^2 - 6x + 12 = 2x - 4

Make the right side of equation 0

x^2 - 6x + 12 - 2x + 4 = 0\\\\x^2 -8x + 16 = 0

<em><u>Solve by quadratic equation</u></em>

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=-8,\:c=16:\\\\x=\frac{-\left(-8\right)\pm \sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:16}}{2\cdot \:1}\\\\x=\frac{-\left(-8\right)\pm \sqrt{0}}{2\cdot \:1}\\\\x = \frac{8}{2}\\\\x = 4

<em><u>Substitute x = 4 in eqn 2</u></em>

y = 2(4) - 4

y = 8 - 4

y = 4

Thus solution is (4, 4)

5 0
3 years ago
Somebody help me wit dis
Nezavi [6.7K]

Answer:


Step-by-step explanation:

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8 0
3 years ago
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Line MN passes through points M(4, 3) and N(7, 12). If the equation of the line is written in slope-intercept form, y = mx + b,
expeople1 [14]
For finding the value of b, we must consider that Line MN passes through points M(4, 3) and N(7, 12). With this condition y = mx + b, can be written 3=4m+ b (because line passes through M(4,3) ) and 12=7m+b, b ( because line passes through M(7,12)). We have a system of equation 4m+ b=3 7m+b=12 For solving this, 4m+b- (7m+b)= 3-12, it is equivalent to -3m= -9 and then m=3, if m=3 so 4x3 +b =3 implies b= 3 -12= -9, so the value of b= -9 <span>
</span>
3 0
3 years ago
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(4x+2)=102+44 solve for x
sergiy2304 [10]
<h3>Solution:</h3>
  • (4x + 2) = 102 + 44
  • or, 4x = 102 + 44 - 2
  • or, 4x = 144
  • or, x = 144 ÷ 4
  • or, x = 36
<h3>Answer:</h3>

x = 36

8 0
3 years ago
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