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Ostrovityanka [42]
3 years ago
13

Solve for x: 3(x + 1) = −2(x − 1) + 6.

Mathematics
1 answer:
Juliette [100K]3 years ago
6 0
3(x+1) = -2(x-1) + 6
3x + 3 = -2x + 2 + 6
5x + 3 = 8
5x = 5
x = 1
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In one town 44% of all voters are Democrats if two voters are randomly selected for a survey find the probability that they are
kenny6666 [7]

Answer:

0.194


Step-by-step explanation:

Probability that BOTH are democrats means probability of <u>"one being democrat"</u> AND <u>"another also being democrat"</u>.

The AND means we need to MULTIPLY the individual probability of a person being democrat.

Probability that a voter is democrat is 44% (0.44) -- stated in the problem


Now, Probability BOTH being Democrats is simply MULTIPLYING 0.44 with 0.44

0.44*0.44=0.1936

Rounded to nearest thousandth, 0.194

Last answer choice is correct.

6 0
3 years ago
750x + 17y = 141.61
MAVERICK [17]
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7 0
3 years ago
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12x+7&lt;-11 or 5x-8&gt;40
puteri [66]

Answer:

\large\boxed{x9\dfrac{3}{5}\to x\in\left(-\infty,\ -1\dfrac{1}{2}\right)\ \cup\ \left(9\dfrac{3}{5},\ \infty\right)}

Step-by-step explanation:

12x+7

5x-8>40\qquad\text{add 8 to both sides}\\\\5x-8+8>40+8\\\\5x>48\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}>\dfrac{48}{5}\\\\x>\dfrac{48}{5}\\\\x>9\dfrac{3}{5}\\===========================

x9\dfrac{3}{5}

7 0
3 years ago
How would you do a,b,c,and d
I am Lyosha [343]

a) You are told the function is quadratic, so you can write cost (c) in terms of speed (s) as

... c = k·s² + m·s + n

Filling in the given values gives three equations in k, m, and n.

28 = k\cdot 10^2+m\cdot 10+n\\21=k\cdot 20^2+m\cdot 20+n\\16=k\cdot 30^2+m\cdot 30+n

Subtracting each equation from the one after gives

-7=300k+10m\\-5=500k+10m

Subtracting the first of these equations from the second gives

2=200k\\\\k=\dfrac{2}{200}=0.01

Using the next previous equation, we can find m.

-5=500\cdot 0.01+10m\\\\m=\dfrac{-10}{10}=-1

Then from the first equation

[tex]28=100\cdot 0.01+10\cdot (-1)+n\\\\n=37[tex]

There are a variety of other ways the equation can be found or the system of equations solved. Any way you do it, you should end with

... c = 0.01s² - s + 37

b) At 150 kph, the cost is predicted to be

... c = 0.01·150² -150 +37 = 112 . . . cents/km

c) The graph shows you need to maintain speed between 40 and 60 kph to keep cost at or below 13 cents/km.

d) The graph has a minimum at 12 cents per km. This model predicts it is not possible to spend only 10 cents per km.

4 0
3 years ago
(1) An M&amp;Ms factory produces 109,500,000 M&amp;M’s every day. About ¼ of its M&amp;Ms are blue. Find the number of blue M&am
Gemiola [76]

Answer:

27,375,000

Step-by-step explanation:

Simply divide the total by 4.

4 0
3 years ago
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