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2 years ago

If f Superscript negative 1 Baseline (x) = negative one-fifth x, what is f Superscript negative 1 Baseline (x) = one-fifth x?

Mathematics

2 answers:

Amanda [17]2 years ago

8 0

Answer:

A different inverse function

Step-by-step explanation:

Artyom0805 [142]2 years ago

5 0

Answer:

a different inverse function

Step-by-step explanation:

If $f^{-1}(x)=-\frac{1}{5}x$ then $f^{-1}(x)=\frac{1}{5}x$ is a different inverse function.

The second (inverse) function is the first reflected over the y-axis.

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Evaluate the following pic

GREYUIT [131]

Answer:

1) $\sqrt{1225}+\sqrt{1024}=67$

2) $\sqrt[3]{-1331}=-11$

3) Evaluating $2:p :: p:8$ we get $p=\pm 4$

4) $x^3+y^2+z \ when \ x=3, y=-2, x=-6 \ we \ get \ \mathbf{25}$

5) $\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}=-6$

Step-by-step explanation:

1) $\sqrt{1225}+\sqrt{1024}$

Prime factors of 1225 : 5x5x7x7

Prime factors of 1024: 2x2x2x2x2x2x2x2x2x2

$\sqrt{1225}+\sqrt{1024}\\=\sqrt{5\times5\times7\times7}+\sqrt{2\times2\times2\times2\times2\times2\times2\times2\times2\times2}\\=\sqrt{5^2\times7^2}+\sqrt{2^2\times2^2\times2^2\times2^2\times2^2}\\=5\times7+(2\times2\times2\times2\times2)\\=35+32\\=67$

$\sqrt{1225}+\sqrt{1024}=67$

2) $\sqrt[3]{-1331}$

We know that $\sqrt[n]{-x}=-\sqrt[n]{x} \ ( \ if \ n \ is \ odd)$

Applying radical rule:

$\sqrt[3]{-1331}\\=-\sqrt[3]{1331} \\=-\sqrt[3]{11\times\11\times11}\\=-\sqrt[3]{11^3} \\Using \ \sqrt[n]{x^n}=x \\=-11$

So, $\sqrt[3]{-1331}=-11$

3) $2:p :: p:8$

It can be written as:

$p*p=2*8\\p^2=16\\Taking \ square \ root \ on \ both \ sides\\\sqrt{p^2}=\sqrt{16}\\p=\pm 4$

Evaluating $2:p :: p:8$ we get $p=\pm 4$

4) $x^3+y^2+z \ when \ x=3, y=-2, x=-6$

Put value of x, y and z in equation and solve:

$x^3+y^2+z \\=(3)^3+(-2)^2+(-6)\\=27+4-6\\=25$

So, $x^3+y^2+z \ when \ x=3, y=-2, x=-6 \ we \ get \ \mathbf{25}$

5) $\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}$

We know (-a)^n = (a)^n when n is even and (-a)^n = (-a)^n when n is odd

$\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}\\\\=\frac{1296\times-8\times 27}{46656}\\\\=\frac{-279936}{46656} \\\\=-6$

So, $\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}=-6$

8 0

2 years ago

maple syrup worth $6.00 a gallon and corn syrup worth .80 cents a gallon are used to make a mixture worth $2.36 a gallon. How ma

WITCHER [35]

maple syrup = x

corn syrup = 50-x

6x + 0.8(50-x)=2.36*50

6x+40-0.8x=118

5,2x=78

x= 15 gallons of maple syrup

50-15 = 35 gallons of corn syrup

4 0

2 years ago

HELP PLEASE ITS JUST ONE QUESTION

Nady [450]

Answer:

y = 2x - 1

Step-by-step explanation:

The given line is y = 2x - 6.

It is in the y = mx + b form, where m is the slope, so its slope is 2.

We need a line that passes through point P(3, 5) and has slope 2.

y = mx + b

Put the slope in m.

y = 2x + b

Use the given point with x = 3 and y = 5 and solve for b.

5 = 2(3) + b

b + 6 = 5

b = -1

The equation is

y = 2x - 1

4 0

2 years ago

Which logarithmic graph can be used to approximate the value of y in the equation 4^y = 8?

topjm [15]

Hope this helped!

(Taken from a source but seemed right)

:)

6 0

2 years ago

One foot is equivalent to approximately 0.3048 meters. if a building is 65-feet long, what is the length of the building in mete

adelina 88 [10]

If one foot is equivalent to 0.3048 meters, then <span>0.3048 x 65 feet should give us our answer.

</span>0.3048 x 65 feet = 19.812.

19.812 rounded to the nearest tenth is 19.8.

5 0

3 years ago