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2 years ago

What is the y-intercept?

Mathematics

1 answer:

Helga [31]2 years ago

3 0

Answer:

y = 2x - 3

Step-by-step explanation:

To solve for y, use the point slope formula: y2 - y1 / x2 - x1

Given the points (3, 3) and (4, 5) 5 - 3/4 - 3

2/1

m = 2

Use the slope m = 2 and one of the given points such as

(3,3) to substitute for x1 and y1 in the point-slope form

So, y - y1 = m x (x - x1)

y - (3) = 2 x (x-3)

Solve for to get the equation. y = 2x - 3

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In March, Derrick had $25.50 in credit card debt.

Snezhnost [94]

Answer:

-20.50?

Step-by-step explanation:

I think you said he added 5 dollars in his account which would get some of his debt removed. But he would still have a remaining -20.50 dollars to get rid of.

8 0

2 years ago

Thetime(inhours)requiredtorepairamachineis an exponentially distributed random variable with parameter λ = 1 . What is 2 (a) the

mihalych1998 [28]

Answer:

a) 0.1353

b) 0.3679

Step-by-step explanation:

Let's start by defining the random variable T.

T : ''The time (in hours) required to repair a machine''

T ~ exp (λ)

T ~ exp (1)

The probability density function for the exponential distribution is

(In the equation I replaced λ = L)

$f(x)=Le^{-Lx}$

With L > 0 and x ≥ 0

In this exercise λ = 1 ⇒

$f(x)=e^{-x}$

For a)

$P(T>2)$

$P(T>2)=1-P(T\leq 2)$

$P(T>2)=1-\int\limits^2_0 {e^{-x} } \, dx$

$P(T>2)=1-(-e^{-2}+1)$

$P(T>2)=e^{-2}=0.1353$

For b)

$P(T\geq 10/T>9)$

The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur

$P(T\geq 10/T>9)=P(T\geq 1)$

$P(T\geq 1)=1-P(T$

$P(T\geq 1)=1-(-e^{-1}+1)=e^{-1}=0.3679$

4 0

2 years ago

Can some one explain simplify and show me how to do it or give me a example

nika2105 [10]

When simplifying you need to be able to divide both the top and bottom number in the fraction by one of their factors. A number will be fully simplified when they become a prime number or have one as the numerator.

7 0

3 years ago

What is the measure of x

mixer [17]

Answer:

x=76 degrees

Step-by-step explanation:

< dij + < jih = 180 straight line

< dij + 107 = 180

subtract 107 from each side

< dij = 73

<jdi + < dij + <idj = 180 triangle

31 + 73 + < idj = 180

combine like terms

104+ < idj = 180

subtract 104 from each side

< idj = 76

<idj = < ajf vertical angles

76 < ajf

<ajf = x

x=76 degrees

8 0

3 years ago

Read 2 more answers

Find an equation of the line satisfying the following conditions: Point (3,2);m= -5/6

Feliz [49]

Answer:

Step-by-step explanation:

y -2 = -5/6(x -3)

y-2 = -5/6x + 15/6

y = -5/6x + 27/6

y = -5/6x + 9/2

7 0

2 years ago