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Airida [17]
3 years ago
5

What is the solution to the system below? y = -3x - 2 6x + 2y = -4

Mathematics
1 answer:
Alja [10]3 years ago
4 0

Answer:

Infinitely many solutions

Step-by-step explanation:

Since y=-3x-2, plug it in (2)

6x+2(-3x-2)=-4.

Distribute:

6x-6x-4=-4

-4=-4

Infinetly many solutions.

Hope this helps :)

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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
397 students went on a field trip. Eight
lbvjy [14]

Answer:48

Step-by-step explanation:

Total number of students=397

Students that travelled in a car=29

Let the students that travelled in a bus be represented by y.

Since 8 buses were filled, it will be 8y for total students

8y + 29= 397

8y= 397-29

8y= 368

Divide both side by 8

8y/8=368/8

y = 46

Number of students in each bus is 46

8 0
3 years ago
How many solutions does the following equation have?<br> x + 5 = x + 7
Oksi-84 [34.3K]
No solutions

Explanation: Any number you use, the equation of x + 7 will always be 2 more than x + 5
4 0
3 years ago
Read 2 more answers
Easy<br> a) -2,-5.-8.-11,...
aleksklad [387]

Step-by-step explanation:

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6 0
2 years ago
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The cost of a ticket increases by 10% to £18.15<br> Work out the original cost.
Licemer1 [7]

Answer:

£16.50

Step-by-step explanation:

x \times (1+\frac{10}{100} )=18.15

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\frac{110}{100} x=18.15

1.1x=18.15

\frac{1.1x}{1.1}=\frac{18.15}{1.1}

x=16.5

7 0
3 years ago
Read 2 more answers
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