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3 years ago

The table represents a function.

Mathematics

1 answer:

Mrrafil [7]3 years ago

8 0

Answer:

3/25

f(x) = abx

f(0) = ab0 = a(1) = a = 3 (given)

f(1) = 3b1 = 3b = 15 ⇒ b = 5

f(-1) = 3•5-1 = 3/25

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One satellite is scheduled to be launched from Cape Canaveral in Florida, and another launching is scheduled for Vandenberg Air

Lisa [10]

Answer:

$P(A) = 0.45$

$P(B) = 0.32$

Step-by-step explanation:

Given

$P(A) > P(B)$

$P(A\ u\ B) = 0.626$

$P(A\ n\ B) = 0.144$

Required

Find P(A) and P(B)

We have that:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

and

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

The equations become:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

$0.626 = P(A) + P(B) - 0.144$

Collect like terms

$P(A) + P(B) = 0.626 + 0.144$

$P(A) + P(B) = 0.770$

Make P(A) the subject

$P(A) = 0.770 - P(B)$

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

$0.144 = P(A) * P(B)$

$P(A) * P(B) = 0.144$

Substitute: $P(A) = 0.770 - P(B)$

$[0.770 - P(B)] * P(B) = 0.144$

Open bracket

$0.770P(B) - P(B)^2 = 0.144$

Represent P(B) with x

$0.770x - x^2 = 0.144$

Rewrite as:

$x^2 - 0.770x + 0.144 = 0$

Expand

$x^2 - 0.45x - 0.32x + 0.144 = 0$

Factorize:

$x[x - 0.45] - 0.32[x - 0.45]= 0$

Factor out x - 0.45

$[x - 0.32][x - 0.45]= 0$

Split

$x - 0.32= 0 \ or\ x - 0.45= 0$

Solve for x

$x = 0.32\ or\ x = 0.45$

Recall that:

$P(B) = x$

So, we have:

$P(B) = 0.32 \ or \ P(B) = 0.45$

Recall that:

$P(A) = 0.770 - P(B)$

So, we have:

$P(A) = 0.770 - 0.32 \ or\ P(A) =0.770 - 0.45$

$P(A) = 0.45 \ or\ P(A) =0.32$

Since:

$P(A) > P(B)$

Then:

$P(A) = 0.45$

$P(B) = 0.32$

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Step-by-step explanation:

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Read 2 more answers

Evaluate 4+8 divide by 2 x(6-3)

stepladder [879]

Answer:

Step-by-step explanation:

= 4+8/2×(6-3)

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= 12/6

= 2

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3 years ago

The table below represents a linear function f(x) and the equation represents a function g(x):

9966 [12]

Answer:

<u>Use 2 points from he table to find the slope of f(x):</u>

(0, -1) and (1, 7)

<u>The slope is:</u>

m = (7 - (-1))/1 = 8

The y - intercept is b = -1 according to point (0, -1).

<u>The lines are:</u>

f(x) = 8x - 1
g(x) = 3x - 2

The f(x) has greater slope since 8 > 3 and greater y-intercept since -1 > - 2.

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3 years ago