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k0ka [10]
3 years ago
10

Please help me define the variables and write out each equation. TY!

Mathematics
1 answer:
juin [17]3 years ago
6 0

Answer:

The equations are:

10x + 9y = 122

x + y       = 13

Step-by-step explanation:

Given Jose makes 10$ per hour washing cars and 9$ per hour walking dogs.

Also, it is given that he had worked for 13 hours total making 122$.

Let us assume the number of hours he spent on washing cars = 'x'.

Let us assume the number of hours he spent on walking dogs = 'y'.

Since, the total number of hours is 13, we can write:

x + y = 13           . . . eqn(1)

And since he has made 122$ in total, we will have:

10x + 9y = 122  . . .eqn(2)

'10x' represents the total money earned by washing cars and '9y' represents the total hours spent on walking dogs.

Hence, Eqn (1) and Eqn(2) is the answer.

Solving them will give: x = 5 and b = 8.

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Find the equation of the line through (6,8) which is parallel to the line y=4x−6.
Ratling [72]

Answer:

y=4x-16

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

<u />y=4x-6<u />

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into y=mx+b:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (6,8) and solve for b

8=4(6)+b\\8=24+b

Subtract 24 from both sides to isolate b

8-24=24+b-24\\-16=b

Therefore, the y-intercept of the line is -16. Plug this back into y=4x+b:

y=4x-16

I hope this helps!

3 0
3 years ago
What is the relationship between sin(90 degrees) and sin(-90 degrees)
Volgvan

Answer:

sin(90\°)=-sin(-90\°)

Step-by-step explanation:

we know that

sin(90\°)=1

sin(-90\°)=-1

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sin(90\°)=-sin(-90\°)

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Consider the function,
RUDIKE [14]

Answer:

If x= 4 then f(x) = 4x -5 is 11.

Step-by-step explanation:

f(x) = 4x -5

We need to find the domain value that corresponds to the output f(x) = 11

In this question, we need to solve the expression for value of x such that the answer is 11.

if  x= 3

f(3) = 4(3) -5

     = 12 -5

    = 7

Since we want the answer 11 so we cannot take x= 3

if x = 4

f(4) = 4(4)-5

    = 16 - 5

    = 11

So, if x= 4 then f(x) = 4x -5 is 11.

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3 years ago
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Answer:

Step-by-step explanation:

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