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horsena [70]
3 years ago
5

Increase 25cm in the ratio 6:5​

Mathematics
1 answer:
Inga [223]3 years ago
7 0

Answer:

Step-by-step explanation:

25 x 6/5 = 30

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What is the equation of the inverse function A(n)=3n-20
Allisa [31]

Answer:

A^{-1}(n)=\frac{1}{3}n+\frac{20}{3}

Step-by-step explanation:

First, let's change those variables to x and y, just for the sake of convenience.  In order to find the inverse of a function algebraically, switch the x and y coordinates, then solve for the new y.  Letting y = A(n) and x = n (we will switch them back when we're done):

y = 3x - 20.  This is linear; a line with a slope of 3 and a y-intercept of -20.  When we switch the x and the y, we get:

x = 3y - 20.  Now we solve for the new y.  Begin by adding 20 to both sides:

x + 20 = 3y.  Now divide both sides by 3:

\frac{x+20}{3}=y, or to write it in slope-intercept form, like the function you started with:

y=\frac{1}{3}x+\frac{20}{3}

This is also a line, with a slope of 1/3 and a y-intercept of +20/3

Now, replacing:

A^{-1}(n)=\frac{1}{3}n+\frac{20}{3}

That is how to write the inverse using function notation.  The little -1 as an exponent tells us that this is the inverse of the function A(n).

5 0
3 years ago
Find a cubic function with the given zeros. -6, 7, -4
Nookie1986 [14]
f(x)=a(x-x_1)(x-x_2)(x-x_3)\\\\x_1=-6;\ x_2=7;\ x_3=-4\\\\f(x)=(x+6)(x-7)(x+4)=(x^2-x-42)(x+4)\\\\=x^3+3x^2-46x-168
7 0
3 years ago
How do you solve 800m 35cm-154m 49cm for the smaller unit?
bearhunter [10]
1 m = 100 cm
800 m = 800 x 100 = 80000 cm
Therefore, 800 m 35 cm = 80000 cm + 35 cm = 80035 cm

Also, 154 m = 154 x 100 = 15400 cm
Therefore, 154 m 49 cm = 15449 cm

Therefore, <span>800m 35cm - 154m 49cm = 80035 cm - 15449 cm = 64586 cm = 645m 86cm</span>
4 0
3 years ago
MZJ and m M are base angles of isosceles trapezoid JKLM. If mZJ = 18x + 8 and m_M=11x + 15 find m2K.
maxonik [38]

The question is incomplete. Here is the complete question.

m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.

If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.

A. 1

B. 154

C. 77

D. 26

Answer: B. m∠K = 154

Step-by-step explanation: <u>Isosceles</u> <u>trapezoid</u> is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.

Related to internal angles, angles of the base are equal and opposite angles are supplementary.

In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:

18x + 8 = 11x + 15

7x = 7

x = 1

Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:

m∠J = 18(1) + 8

m∠J = 26

m∠K + m∠J = 180

m∠K + 26 = 180

m∠K = 154

The angle m∠K is 154°

7 0
3 years ago
HELP ME PLEASEEE ILL GIVE BRAINLIEST ITS DUE TODAY
nikdorinn [45]
Dang… I wish I can help.
6 0
3 years ago
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