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Neko [114]
3 years ago
10

-3(x - 2) - 2x + 4x^2

Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

-6x+6+4x^2

Step-by-step explanation:

Distribute the -3

-3(x-2)= -3x+6

Combine like terms

<u>-3x</u>+6<u>-2x</u>+4x^2

-6x+6+4x^2

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X^2 + 4x - 16 - 11/(x + 2)
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3 years ago
Tesla Battery Recharge Time.The electric­ vehicle manufacturing company Tesla esti­mates that a driver who commutes 50 miles per
madam [21]

Answer:

a.) f(x) = \frac{1}{30} where 90 < x < 120

b.) \frac{2}{3}

c.)  \frac{2}{3}

d.)  \frac{1}{2}

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = \frac{1}{120 - 90} = \frac{1}{30} where 90 < x < 120

b.)

P(x < 110) = \int\limits^{110}_{90} {\frac{1}{30} } \, dx

               = \frac{1}{30}[x]\limits^{110}_{90}  = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}

c.)

P(x > 100 ) = \int\limits^{120}_{100} {\frac{1}{30} } \, dx

                 = \frac{1}{30}[x]\limits^{120}_{100}  = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}

d.)

P(95 < x< 110)  = \int\limits^{110}_{95} {\frac{1}{30} } \, dx

                       = \frac{1}{30}[x]\limits^{110}_{95}  = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}

7 0
3 years ago
Evaluate f(x)3x + 8 for x = 1.<br><br> A. -11<br> B. 5<br> C. 11<br> D. 3
mariarad [96]

Answer:11

Step-by-step explanation:

f(x)=3x+8

f(1)=3(1)+8

f(1)=3+8

f(1)=11

5 0
3 years ago
PLEASE HELP IM RUNNING OUT OF TIME
dolphi86 [110]

Answer:

the answer is 160 that the answer

5 0
2 years ago
What is the area?<br> i have not angles or diagonals
Genrish500 [490]

Answer:104

Step-by-step explanation: I really might be wrong, but here is where my mind is taking me. a "rectangular shape" has 2 parrell sides you add up the sides. so the up and down ones are 26, and the side to side ones are 16. divide that by 2 so 13 and 8, multiply that witch is 104.

6 0
3 years ago
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