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Vikki [24]
3 years ago
14

How to factorize (1-x)(4x-9)+(x^2-6x+5)

Mathematics
1 answer:
adell [148]3 years ago
3 0
-1(x-1)(4x-9) +(x-1)(x-5)
(x-1)(-1(4x-9) +x-5)
(x - 1)(-4x + 9 + x - 5)
(x - 1)(-3x + 4)
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Ms. Ellis expected 50 families to attend parent teacher conference but 60 families attended. What is the percent error?
natulia [17]

Answer:

20%.

Step-by-step explanation:

That is  (60 - 50) / 50

= 10/50

= 1/5

To convert to a percent we multiply by 100:

= 20%.

6 0
3 years ago
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Sung loo worked 54 hours during a special sale at the store. 10 hours was time and a half, and 4 hours were at double time. Her
DanielleElmas [232]

Answer:

$432.18

Step-by-step explanation:

Time and a half = 50% more pay rate / 1.5*6.86 = $10.29 per hour

Double time = 2*6.86 = $13.72 per hour

Rest of the time => At regular rate

Total Amount = 10(10.29) + 4(13.72) + (54 - 10 - 4)(6.86)

                       = 10(10.29) + 4(13.72) + (40)(6.86)

                       = $ 432.18

6 0
3 years ago
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Pls help trig question!!
s2008m [1.1K]

4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x  -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R}  ~\text{Since}~ -1\leq \sin x \leq 1\\

\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~  [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x =  2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68

5 0
2 years ago
Please helpp me i need a answer
Lesechka [4]

Answer:

0.0005123

Step-by-step explanation:

The scientific notation 5.123e-4 is same as 5.123×10^-4 or 5.123×10-4. Thus, to get the answer to 5.123e-4 as a decimal, we multiply 5.123 by 10 to the power of -4.

= 5.123e-4

= 5.123 × 10-4

= 0.0005123

7 0
3 years ago
PLS HELPPPPPPPPPPPPPPPP
dezoksy [38]
All -1.8

In addition and subtraction the order of the numbers does not matter, so the result will always remain the same
8 0
3 years ago
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