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Liula [17]
3 years ago
6

F(x) = 5x + 4 g(x) = 5x2 – 7x – 2 Find: f(x) · g(x)

Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

Answer:

25x^{3}-15x^{2} -38x-8

Step-by-step explanation:

Multiply the equations together

(5x+4)(5x^2-7x-2)

25x^3-35x^2-10x+20x^2-28x-8

Add like terms

25x^3-15x^2-38x-8

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Write a scenario that could work for the following line of best fit: y = 0.2x + 7.6. Explain the slope and intercept in this con
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In this question we know what the “y-intercept is,so if we go to our graph we can easily just plot the point 7.6 on the y axis of a number line. It also gives you the slope in decimal form so we would want to convert that from 0.2 to 1/5. And remember the slope is how many places you move to get to the next point on the number line. So from the point 7.6 we would move up 1 over 5 to the right because it is a positive number. Your line should run across the upper segment of the number line and your line should make a 20 to 30 degree angle shift
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4 years ago
Probability question. Please answer with work attached.
musickatia [10]

Answer:

B. (0.61)

Step-by-step explanation:

Well, first I created venn diagram to help separate my work, then I subtracted .22 from each "probability sections" then I added them up to get .61

Work explains a lot.

Hope it helped.    :)

8 0
3 years ago
From a point on a cliff 75 feet above water level, an observer can see a shipThe angle of depression to the ship is d^ How far i
Alexandra [31]

Answer:

52feet

Step-by-step explanation:

The set up will be a right angle

Let the angle of depression be 30°

The height above the sea level will be the opposite

The distance of the ship from the base is x (adjacent)

Using TOA

Tan theta = opposite/adjacent

Tan 30 = 30/x

x = 30/tan 30

x = 30/0.5774

x = 51.96

x ≈ 52 feet to the nearest foot

8 0
3 years ago
What is (0,-2) a solution of 2x-4y=-8
Paladinen [302]

Answer:

Step-by-step explanation:

4 0
3 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
3 years ago
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