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3 years ago

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The owner of a car wash combines x gallons of a 2% liquid soap and 98% water mix with y gallons of a 7% liquid soap and 93% wate

r mix to make 500 gallons of a 5% liquid soap and 95% water mix. Write a system of linear equations that represent the situation.

1 answer:

Diano4ka-milaya [45]3 years ago

6 0

X(2+98) + y(7+93)= 500(5+95)

Not sure if it’s right or not!!!

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Write functions for each of the following transformations using function notation. Choose a different letter to represent each f

kupik [55]

Answer:

$(a)\ T_{a,b} =(x +a,y+b)$

$(b)\ F_{y\ axis} = (-x,y)$

$(c)\ F_{x\ axis} = (x,-y)$

$(d)\ R_{o,90^o} = (-y,x)$

$(e)\ R_{o,180^o} = (-x,-y)$

$(f)\ R_{o,270^o} = (y,-x)$

Step-by-step explanation:

Solving (a): Translate a units right, b units up

When a function is translated a units right, the number of units will be added to the x coordinate

When a function is translated b units up, the number of units will be added to the y coordinate.

So, we have:

$T_{a,b} =(x +a,y+b)$

Solving (b): Reflect across y-axis

When a function is translated across the y-axis, the x coordinate gets negated.

So, we have:

$F_{y\ axis} = (-x,y)$

Solving (c): Reflect across x-axis

When a function is translated across the x-axis, the y coordinate gets negated.

So, we have:

$F_{x\ axis} = (x,-y)$

Solving (d): 90 degrees rotation counterclockwise

When a function is rotated 90 degrees counterclockwise, the y-coordinates gets negated and then swapped with the x-coordinate.

So, we have:

$R_{o,90^o} = (-y,x)$

Solving (e): 180 degrees rotation counterclockwise

When a function is rotated 180 degrees counterclockwise, the coordinates are negated.

So, we have:

$R_{o,180^o} = (-x,-y)$

Solving (f): 270 degrees rotation counterclockwise

When a function is rotated 270 degrees counterclockwise, the x-coordinates gets negated and then swapped with the y-coordinate.

So, we have:

$R_{o,270^o} = (y,-x)$

6 0

3 years ago

Two variable inequalities from their graphs<br> Find the inequality represented by the graph

ikadub [295]

Answer:

y ≤ -1/3x + 1

Step-by-step explanation:

The shading is below the line so it is y ≤ and then the slope is -1/3x because when you go down 1 and 3 units to the right, you get another point. And lastly, the y-intercept is 1.

I hope this helps

7 0

2 years ago

Read 2 more answers

The truck is Karen tomato juice pineapple juice and grape juice bottles in a ratio of 2: 3: 2grape juice bottles and how many ju

tigry1 [53]

Answer:

7

Step-by-step explanation:

If the ratio is 2:3:2 that means that there is 2Karen tomato juice bottles, 3pineapple juice bottles and 2 grape juice bottles you just have to find the sum and get 7juice bottles

3 0

2 years ago

Choose a number between 67 and 113 that is a multiple of 3, 9, and 12

Anestetic [448]

72 is multiples of 3,9, and 12

3 0

2 years ago

Y=2x-10 substitution <br> Y=4x

Arada [10]

X=5
Work:

y=2x-10
4x=2x-10
2x=10, then divide 2x on each side
x=5

4 0

3 years ago