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2 years ago

Help me I need the steps

Mathematics

1 answer:

KonstantinChe [14]2 years ago

5 0

It's a quadratic with a positive x² coefficient, so a CUP, with a minimum

f(x) = 2x² -12 x + 13

= 2(x² - 6x) + 13

= 2(x - 3)² - 2(9) + 13

f(x) = 2(x - 3)² - 5

Since x-3 is always zero or positive the least value is

f(3) = -5

Answer: -5

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Two faulty machines, M1 and M2, are repeatedly run synchronously in parallel (i.e., both machines execute one run, then both exe

leonid [27]

The event that either M1 or M2 fails has probability

$P(M_1\text{ fails or }M_2\text{ fails})=P(M_1\text{ fails})+P(M_2\text{ fails})-P(M_1\text{ and }M_2\text{ both fail})$

by the addition rule. Failure events are independent, so

$P(M_1\text{ and }M_2\text{ both fail})=P(M_1\text{ fails})P(M_2\text{ fails})$

so that

$P(M_1\text{ fails or }M_2\text{ fails})=p_1+p_2-p_1p_2$

Denote this probability by $p$ . Then $X$ follows a geometric distribution with this parameter $p$ and has density

$P(X=x)=\begin{cases}(1-p)^{x-1}p&\text{for }x\ge1\\0&\text{otherwise}\end{cases}$

The expectation is $\dfrac1p=\dfrac1{p_1+p_2-p_1p_2}$ .

7 0

3 years ago

Help me. What is the slope of the line ?

lara31 [8.8K]

-2/-5 is the answer

7 0

3 years ago

What does x equal in 7+2/5x=-5

Anna007 [38]

Answer:

x = -30

Step-by-step explanation:

subtract 7 from both sides ( 7+2/5x -7, -5-7 )

simplify ( 2/5x = 12 )

multiply both sides by 5 ( 2/5x times 5 = 5 (-12) )

simplify ( 2x = -60 )

divide both sides by 2 ( 2x / 2, -60 / 2 )

x = -30

7 0

3 years ago

Read 2 more answers

David is driving on the highway. He begins the trip with 14 gallons of gas in his car. The car uses up one gallon of gas every 2

ehidna [41]

Answer:

$G = -D/20 + 14$

Graph in the image attached.

Step-by-step explanation:

Using the model of a linear equation, we have:

$G = aD + b$

'b' is the y-intercept of the equation, that is, the inicial value of G, when D = 0.

So if David starts the trip with 14 gallons of gas, we have b = 14.

'a' is the slope of the line, that is, an increase of 1 in the value of D causes an increase of 'a' in the value of G.

So if the car uses one gallon every 20 miles, the value of a is -1/20 (an increase of 20 in D causes a decrease of 1 in G).]

So our equation is:

$G = -D/20 + 14$

The graph of this equation is in the image attached.

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3 years ago

Which function represents the dotted graph? :)

7nadin3 [17]

Answer:

The function is:

y = -|x -1|

4 0

2 years ago

Read 2 more answers