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1 year ago

Simplify the following expression. 2x+3x³-5x² + x +7x+1+7x5 -3x³-4

Mathematics

1 answer:

kicyunya [14]1 year ago

5 0

Answer:

Step-by-step explanation:

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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

What are the x-intercepts of the graphed function?

DIA [1.3K]

Answer:

(-2,0) and (2,0)

Step-by-step explanation:

The x-intercepts are where the parabola touches the x-axis (aka when y is 0).

6 0

2 years ago

Subtract: (3x2 − 8x + 3) − (−5x2 + 4x − 5)

Alenkinab [10]

The answer should be A).

4 0

2 years ago

Read 2 more answers

Subject: Mathematics

lina2011 [118]

$\\ \sf\longmapsto \dfrac{1}{x-1}>4$

Multiply x-1 on both sides

$\\ \sf\longmapsto \dfrac{1}{x-1}\times (x-1)> 4(x-1)$

$\\ \sf\longmapsto 1>4(x-1)$

$\\ \sf\longmapsto 1> 4x-4$

Add 4 on both sides

$\\ \sf\longmapsto 1+4> 4x$

$\\ \sf\longmapsto 5> 4x$

Divide both sides by 4

$\\ \sf\longmapsto \dfrac{5}{4}>x$

$\\ \sf\longmapsto x< \dfrac{5}{4}$

Now

ATQ to the equation $\bf \dfrac{1}{x-1}$ x should be greater than 1 .Because if it becomes 1 then the denominator will be 0 which is impossible.

Hence x>1

Thus

$\\ \sf{:}\!\implies 1$

Now

$\\ \therefore\boxed{\bf x\epsilon \left(1,\dfrac{5}{4}\right)}$

6 0

2 years ago

Read 2 more answers

A student solved this problem and said the answer is 1 3/4 quarts. Gary mixed 1/4 quart of plain milk and 2/3 quart of chocolate

levacccp [35]

Gary is wrong. the answer is 11/12.

1/4 + 2/3= n
1/4= 3/12
2/3= 8/12
3/12+8/12= 11/12 .
So, the answer cannot be 1 & 3/4.

6 0

2 years ago