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Illusion [34]
3 years ago
12

Find it ASAP What is the whole 85% of 17

Mathematics
1 answer:
Paraphin [41]3 years ago
4 0
If you're just trying to find 85% of 17, you would do 17 * .85 which gives us 14.45
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Use the substitution method to solve each system of equations. Write the answer in ordered pairs.
tatyana61 [14]

x -y = 1

5x + 3y = 45

Solve the first equation for x: x = y + 1

Substitute x in the second with y + 1

5x + 3y = 45

5(y + 1) + 3y = 45

5y + 5 + 3y = 45

8y + 5 = 45

8y = 40

y = 5

Substitute 5 for y in x = y + 1

x = y + 1

x = 5 + 1

x = 6

Answer: (6, 5)

5 0
3 years ago
Is 20% greater than 0.02
Ket [755]
Yep it is greater. Hope this helps
6 0
3 years ago
A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u
Kryger [21]

Given: f(x) = \frac{1}{x-2}

           g(x) = \frac{2x+1}{x}

A.)Consider

f(g(x))= f(\frac{2x+1}{x} )

f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}

f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}

f(\frac{2x+1}{x} )=\frac{x}{1}

f(\frac{2x+1}{x} )=1

Also,

g(f(x))= g(\frac{1}{x-2} )

g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{x }{1}

g(\frac{1}{x-2} )= x


Since, f(g(x))=g(f(x))=x

Therefore, both functions are inverses of each other.


B.

For the Composition function f(g(x)) = f(\frac{2x+1}{x} )=x

Since, the function f(g(x)) is not defined for x=0.

Therefore, the domain is (-\infty,0)\cup(0,\infty)


For the Composition function g(f(x)) =g(\frac{1}{x-2} )=x

Since, the function g(f(x)) is not defined for x=2.

Therefore, the domain is (-\infty,2)\cup(2,\infty)



8 0
3 years ago
Find an equation of variation where y varies jointly as x and the square of z, and where y=70, when x=21 and z=5.
Bezzdna [24]

Answer:

y = 181.75xz^2

Step-by-step explanation:

Given

y jointly varies to x and z^2

Required

Find the equation

We start by writing out the variation;

y\ \alpha\ xz^2

Write as equation

y = kxz^2

Substitute values of x,y and z

70 = k * 21 * 25^2

70 = k * 21 * 25 * 25

70 = k * 13125

Divide both sides by 7

\frac{70}{13125} = \frac{k * 131251}{13125}

\frac{70}{13125} = k

187.5 = k

k = 181.75

Substitute k in y = kxz^2

y = 181.75xz^2

4 0
3 years ago
X-2y=8<br> 4x+y=5<br> Solve linear systems by Multiplying
Lisa [10]
<h2> x = 2 and y = - 3</h2>

Step-by-step explanation:

The given system of linear equations:

x - 2y = 8                        ........ (1)

and 4x + y = 5               ........ (2)

To find, the values of x and y = ?

Multiplying equation (2) by 2, we get

2(4x + y) = 5 × 2  

⇒ 8x + 2y = 10                ........ (3)

Adding equations (1) and (3), we get

x - 2y + (8x + 2y) = 8  + 10  

⇒ x - 2y + 8x + 2y = 8  + 10

⇒ 9x = 18

⇒ x = 2

Put x = 2 in (1), we get

2 - 2y = 8        

⇒ 2y =2 - 8

⇒ 2y = - 6

⇒ y = - 3

∴  x = 2 and y = - 3

4 0
3 years ago
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