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2 years ago

Which represents the inverse of the function f(x)=2x+1?

Mathematics

1 answer:

Sonja [21]2 years ago

4 0

f(x) = 2x + 1

To find the inverse, f^-1(x), of the function:

Put the function as an equation:

y = 2x + 1

Then move x to the left and y to the right;

x = 2y + 1

Then solve for y;

y = x/2 - 1/2

f^-1(x) = y

f^-1(x) = x/2 - 1/2

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sesenic [268]

Answer:

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Step-by-step explanation:

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1 year ago

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Which expression is equivalent? Please see pictures attached!

VMariaS [17]

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2 years ago

Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant. Ten percent of all plant e

Alex17521 [72]

Answer: 0.23

Step-by-step explanation:

Given : F is the event "works in the finishing department;"

and A is the event "is absent excessively."

Given : 10% of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively.

i.e. P(A)= 0.20 ; P(F)=0.10 ; P(A ∩ F) = 0.07

We know that $P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)$

Then,

$P(A\cup F)=P(A)+P(F)-P(A\cap F)\\\\\Rightarrow\ P(A\cup F)=0.20+0.10-0.07=0.23$

Hence, the required answer is $P(A\cup F)=0.23$

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2 years ago

WILL GIVE BRAINLIEST AND 20 POINTS

MrRissso [65]

Answer:

14 yd²

Step-by-step explanation:

4 • 7 = 28

Since this is a triangle you divide the answer by 2

28/2 = 14

14 yd²

Hope this helps dude

4 0

2 years ago

Line h contains the points (3,0) and (0,4). which point lies on a line that is perpendicular to line h and passes through point

Iteru [2.4K]

(3,0)(0,4)
slope = (4 - 0) / (0 - 3) = -4/3
A perpendicular line will have a negative reciprocal slope. So our perpendicular line has a slope of 3/4

y = mx + b
slope(m) = 3/4
(-6,-5)....x = -6 and y = -5
now sub into the formula and find b, the y int
-5 = 3/4(-6) + b
-5 = -18/4 + b
-5 + 18/4 = b
-20/4 + 18/4 = b
-2/4 = b
so ur perpendicular line is : y = 3/4x - 2/4....or 3x - 4y = 2

and ur point (6,4) lies on the perpendicular line <===

6 0

2 years ago