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Basile [38]
3 years ago
14

Solve the equation for the given variable. Justify each step. 9x + 2y = 5; y

Mathematics
2 answers:
11111nata11111 [884]3 years ago
6 0

Answer:

{x,y}={  5/9,0}

Step-by-step explanation:

9x - 2y = 5

y = 0

9x - 2•() = 5

9x = 5

x = 5/9

By now we know this much :

   x = 5/9

   y = 0

⇒{x,y} = {5/9,0}

kogti [31]3 years ago
5 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

9x + 2y = 5

solving the equation for y

9x + 2y = 5

Step 1: Add -9x to both sides

9x+2y+-9x=5+-9x

2y=-9x+5

Step 2: Divide both sides by 2

\frac{2y}{2}=\:\frac{-9x+5}{2}

y=\frac{-9}{2}x+\frac{5}{2}

Thus, the value of y is:

y=\frac{-9}{2}x+\frac{5}{2}

If we put y = 0 in the 9x + 2y = 5

9x+\left(0\right)=5

9x=5

\mathrm{Divide\:both\:sides\:by\:}9

\frac{9x}{9}=\frac{5}{9}

x=\frac{5}{9}

Thus, the value of x=5/9 at y=0

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Answer:

The tax amount is 15.17$

The tax rate is 12.4%.

Step-by-step explanation:

First we subtract the cost from the selling price.

137.17 - 122 = 15.17

We have found the tax amount, now for the tax rate.

If tax rate is x, then

122 * x = 137.17

Divide both sides by 122 to get

x = 137.17/122 = 1.124, or .124.

Then convert into percentage by moving the decimal to the right 2 times.

.124 = 12.4%

Hope this helps you

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4 years ago
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write the equation of the line that passes through the vertex of the parabola y=-2x^2+12x-11 and the point (-2,47)
pshichka [43]

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\bf \stackrel{vertex}{(\stackrel{x_1}{3}~,~\stackrel{y_1}{7})}\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{47}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{47}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{3}}}\implies \cfrac{40}{-5}\implies -8

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4 years ago
DVD Video Rentals (Refer to Example 3.) The func-
Neporo4naja [7]

Answer:

(a)\ V = \{(N,30),(R,37),(S,17)\}

(b)

Domain = \{N,R,S\}

Range = \{37,30,17\}

Step-by-step explanation:

Given

V(R) = 37,\ V(N) = 30,\  V(S) = 17

Solving (a): Set of ordered pair

A function y = f(x) is represented as (x,y)

So, the ordered pair of V is:

V = \{(R,37),(N,30),(S,17)\}

Order the alphabets in increasing order

V = \{(N,30),(R,37),(S,17)\}

Solving (b): The domain and the range

In a function \{(x_1,y_1),...,(x_n,y_n)\}

The domain and the range are represented as:

Domain = \{x_1,x_2....x_n\}

Range = \{y_1,y_2....y_n\}

So, we have:

Domain = \{N,R,S\}

Range = \{37,30,17\}

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Answer:

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Step-by-step explanation:

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