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3 years ago

Find the inverse function (on the given interval, if specified)

Mathematics

1 answer:

Zinaida [17]3 years ago

5 0

Step-by-step explanation:

f(x) = x² + 1, where x >= 0.

Let y be f(x).

=> y = x² + 1

=> x² = y - 1

=> x = √(y - 1) because x is non-negative.

Hence f^-1(x) = √(x - 1), where x >= 1.

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Geometry pls help !!! Find the value of AB.<br> AB = [?]

V125BC [204]

Answer:

AB = 16 Units

Step-by-step explanation:

In the given figure, CD is the diameter and AB is the chord of the circle.

Since, diameter of the circle bisects the chord at right angle.

Therefore, AE = 1/2 AB

Or AB = 2AE...(1)

Let the center of the circle be given by O. Join OA.

OA = OD = 10 (Radii of same circle)

Triangle OAE is right triangle.

Now, by Pythagoras theorem:

$OA^2 = AE^2 + OE^2 \\10^2 = AE^2 + 6^2 \\100= AE^2 + 36\\100-36 = AE^2 \\64= AE^2 \\AE = \sqrt{64}\\AE = 8 \\\because AB = 2AE..[From \: equation\: (1)] \\\therefore AB = 2\times 8\\\huge \purple {\boxed {AB = 16 \: Units}}$

4 0

3 years ago

You buy a used car for $10,000. The value of the car decreases by22% each year. Approximately how much is the car worth in 3 yea

IRINA_888 [86]

Answer:

The value will be $3,400 after 3 years

Step-by-step explanation:

Convert the percentage into the cash decrease each year, multiply that by 3 and then subtract $10,000 by the sum.

.22 x 10,000 = 2,200

2,200 x 3 = 6,600

10,000 - 6,600 = 3,400

6 0

3 years ago

Which of the following is a correct equation for the line passing through the

kipiarov [429]

Answer:

$2x-3y=-12$

Step-by-step explanation:

We can use the point-slope formula given by:

$y-y_1=m(x-x_1)$

The given line passes through the

point (-3,2) and having slope $m=\frac{2}{3}$ .

We substitute the given point and slope to get:

$y-2=\frac{2}{3}(x--3)$

$y-2=\frac{2}{3}(x+3)$

we clear the fraction to get;

$3y-6=2(x+3)$

$3y-6=2x+6$

$3y-2x=6+6$

$3y-2x=12$

Or in standard form:

$2x-3y=-12$

8 0

3 years ago

Help I need help on this question

nikitadnepr [17]

Answer:

x = 8

FE = 54

Its Acute, Isosceles triangle

Step-by-step explanation:

Well you have to do this out of order and use some knowledge about questions, (It always helps.)

Lets do 12 first:

If this were a scalene triangle, you wouldn't be able to solve for it. Because no sides are equal and this isn't equilateral, because it only shows two equal angles. Therefore it is Isosceles.

Also, if this were a right triangle we would see the little square for an angle. It isn't obtuse because if you look at the triangle and its angles it isn't wider than the square (this only works on the ones that are to scale like this one) So again by elimination and some knowledge of the question we figure out that it is an acute scalene triangle

Now we try and find X. Because Angles F, and E are equal, we can make the two sides equal to each other and solve for x.

Add 24 on both sides

8x - 24 = 40

+24 +24

Divide by 8 on both sides

8x/8 = 64/8

And Voilla

X = 8

Hope this helped! Ask me if you have any further questions!

3 0

2 years ago

Bananas cost $.65 per pound. Write an equation that can be used to find C, the total cost of P pounds of bananas.

aksik [14]

The equation for this is

$.65p=c

In order to find the total cost we must

have a number in which is multiplied by

$.65.

7 0

3 years ago