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Anarel [89]
1 year ago
15

Given functions f and g, find f-g.

Mathematics
1 answer:
Eva8 [605]1 year ago
5 0

Answer:

-5x-5

Step-by-step explanation:

original functions:

f(x)=3x-8\\g(x)=8x-3

Subtract the polynomials:

f(x)-g(x) = (3x-8) - (8x-3)

Distribute the negative sign:

3x-8-8x+3

Combine like terms:

(3x-8x)+(-8+3)

Add like terms:

-5x-5

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A young woman wants to make at least $200 a week and can't work no more than 30 hours a week. she works at the library for $8 an
Bas_tet [7]
Let, Number of Hours in Library = x
Number of Hours in babysitting = y

Inequality would be: x + y = 30  ;
 &   8x + 6y ≥ 200

b) Solving: Multiply first equation by 6, 
6x + 6y ≥ 180
Subtract it from 2nd equation, 
2x ≥ 20
x ≥ 10

Now, substitute it in 1st equation, 
10 + y = 30
y = 20

Your Answer would be (10, 20)
x - value is lesser or equal to 10, so it would move to left (decreasing direction)!

Hope this helps!
5 0
3 years ago
Find the midpoint of points A(-3,9) and B(0, 1) graphically.
Studentka2010 [4]

Answer:

(-\frac{3}{2} , 5)

Step-by-step explanation:

The graph is in the image

Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-3,\:9\right),\:\left(x_2,\:y_2\right)=\left(0,\:1\right)\\\\\left(\frac{0-3}{2},\:\frac{1+9}{2}\right)\\\\Add\:or\:subtract\:the\:numbers\\\\(\frac{-3}{2} , \frac{10}{2})  \\\\Simplify\\\\(-\frac{3}{2} , 5)\\

7 0
3 years ago
On Saturday Lindsay walked 3 1/2 mile in 1 and 2/5 hours what was her walking pace in miles per hour write in simplest form
Makovka662 [10]

Answer:

If she walked 3.5 miles in 1.4 hours, then her pace was:

 3.5 miles / 1.4 hours = 2.5 miles/hour

Step-by-step explanation:

To get her pace in miles per hour, you take the number of miles and divide by the number of hours.  

7 0
3 years ago
1: 2(y+6)=?<br> 2: 6-(-6+2)=?<br> What is the property of equation?
Citrus2011 [14]
1: 2y+12

2: 6 +6 -2
+12 -2
= 10
5 0
3 years ago
What's the equation for the line that passes through the given point and is parallel to the graph of the given line (3,-1);y=2x-
ad-work [718]
You should plug the x and y values into the original equations to get your b value. You should get a b value of 7. Your new equation should be y=2x+7
5 0
3 years ago
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