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3 years ago

If ƒ(x) = 2x, then ƒ -1(x) = A)-2x B)½x C)x - 2

Mathematics

1 answer:

lina2011 [118]3 years ago

5 0

Answer:

½x

Step-by-step explanation:

$f^{-1} (x)$ means the inverse of the function.

The inverse of multiplication is division.

Welcome

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Write an expression equivalent to 6(x + y) + 11 – 5, and state which property you used to write it.

4vir4ik [10]

Answer:

6x + 6y + 6

Step-by-step explanation:

Given the expression equivalent to

6(x + y) + 11 – 5

= 6x + 6y + 6

I used distributive property to rewrite this expression and distributive law is multiplying the number outside of the parenthesis with every each number or variable inside.

Hope it will find you well.

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3 years ago

65% of students in your school participate in at least one after school activity. If there are 980 students in you school, how m

aniked [119]

100% - 65% = 35% of students DO NOT participate

980 * 35/100 = 980 * 0.35 = 343 students don't participate

8 0

3 years ago

What is the meaning of the ∝ sign?

ExtremeBDS [4]

Answer:

"proportional to"

Step-by-step explanation:

The sign ∝ means 'is proportional to'. This is used to show that one variable of value is proportional to another value or variable.

Example:

x ∝ y ('x' is proportional to 'y')

Hope this helps.

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3 years ago

How do you do this?i don’t get it

Reil [10]

$m=\dfrac{-7-3}{-6-(-8)}=\dfrac{-10}{-6+8}=\dfrac{-10}{2}=-5\\\\\\m=\dfrac{0-7}{-4-0}=\dfrac{-7}{-4}=\dfrac{7}{4}=1\dfrac{3}{4}$

8 0

3 years ago

I suck at math if you could help me with these questions that would be great

docker41 [41]

Answer:

Part 8) The triangles are not similar (see the explanation)

Part 12) The triangles are not similar (see the explanation)

Part 14) The area is increased by 125%

Part 15) $h=30\ ft$

Step-by-step explanation:

Part 8) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

Find the value of x in the larger triangle

The sum of the interior angles in any triangle must be equal to 180 degrees

$64^o+85^o+x=180^o$

$149^o+x=180^o$

$x=180^o-149^o$

$x=31^o$

Find the value of y in the smaller triangle

The sum of the interior angles in any triangle must be equal to 180 degrees

$26^o+85^o+y=180^o$

$111^o+y=180^o$

$y=180^o-111^o$

$y=69^o$

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 12) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The measure of the interior angles of the triangle of the left are

88°

29° ----> by vertical angles

and

180°-(88°+29°)=63° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

The measure of the interior angles of the triangle of the right are

180°-91°=89° ----> the sum of a exterior angle and a interior angle is equal to 180 degrees

29°

and

180°-(89°+29°)=62° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 14) we know that

If two figures are similar then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is 1.5

Because

100%+50%=150%=150/100=1.5

The scale factor squared is $1.5^2=2.25$

That means that the new area is 2.25 times the original area

The area is increased by 125%

Part 15)

Let

h ----> the height of the pine

we know that

The height of the person divided by the length of his shadow is equal to the height of the pine tree divided by the length of its shadow

using proportion

$\frac{6}{3}=\frac{h}{15}$

solve for h

$2=\frac{h}{15}$

$h=2(15)=30\ ft$

6 0

3 years ago