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aleksklad [387]
2 years ago
9

X/4 -3 = 1/3 + 2x solve for x

Mathematics
1 answer:
ivann1987 [24]2 years ago
4 0

Answer:

Step-by-step explanation:

\frac{x}{4} - 3 = \frac{1}{3} + 2x ...... <em>(1)</em>

(1) × 12 :

3x - 36 = 4 + 24x

21x = - 40

x = - \frac{40}{21} = -1\frac{19}{21}

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One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below
inna [77]
The probability is 56/100, or 14/25 = 0.56.

These events are not mutually exclusive, meaning they can happen at the same time.  This means we use

P(A or B) = P(A) + P(B) - P(A and B)

P(carpool or full time) = P(carpool) + P(full time) - P(carpool & full time)

There are 6+9=15 people out of 100 that carpool.
There are 7+4+30+6=47 people out of 100 that work full time.
There are 6 people out of 100 that carpool and work full time.

This gives us
15/100 + 47/100 - 6/100 = 56/100
5 0
3 years ago
Which is greater .83 or .083?
Serggg [28]
.83 is greater .038 is in the thousands place and .83 is in the hundreds hope this Helped :D
8 0
3 years ago
Suppose a parabola has an axis of symmetry at x=-5, a maximum height of 9, and passes through the point (-7,1). Write the equati
Nutka1998 [239]

the parabola has maximum at 9, meaning is a vertical parabola and it opens downwards.

it has a symmetry at x = -5, namely its vertex's x-coordinate is -5.

check the picture below.

so then, we can pretty much tell its vertex is at (-5 , 9), and we also know it passes through (-7, 1)


\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \leftarrow \textit{using this one}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-5\\ k=9 \end{cases}\implies y=a[x-(-5)]^2+9\implies y=a(x+5)^2+9


\bf \textit{we also know that } \begin{cases} x=-7\\ y=1 \end{cases}\implies 1=a(-7+5)^2+9 \\\\\\ -8=a(-2)^2\implies -8=4a\implies \cfrac{-8}{4}=a\implies -2=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-2(x+5)^2+9~\hfill

7 0
3 years ago
According to forrest gump, "life is like a box of chocolates. you never know what you're gonna get." suppose a candy maker offer
kifflom [539]
14/20=0.7 or 70% are soft-centred. If we take two candies we have three possibilities associated with probabilities:
Both soft-centred: 0.7²=0.49 or 49%
Both hard-centred: 0.3²=0.09 or 9%
One of each: 2×0.3×0.7=0.42 or 42%. 49+9+42=100%. So these are all the possible outcomes.
6 0
3 years ago
Solve the system by the elimination method.
Vika [28.1K]
10x + 2y - 6 = 0

Multiply 5x + y - 3 = 0 by 2

2(5x + y - 3 = 0) = 10x + 2y - 6 = 0
7 0
3 years ago
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