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Strike441 [17]
3 years ago
13

Question- if f(x)=-4x-2 is vertically translated 6 units up to g(x) what is the y-intercept of g(x)

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0
Y=mx+b
b=y intercept
the current one is y=-2

6 units up is -2+6=4
new one is 4
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A rectangular field is to be enclosed by a fence and divided
Phantasy [73]

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

5 0
2 years ago
Solve the system of equations by graphing: -1/3x + y=-1, y=4+1/3x
Arada [10]

-\frac{1}{3}x + y = -1   ⇒   y = \frac{1}{3}x - 1

To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope (\frac{1}{3}) by counting up 1 and to the right 3 of the y-intercept.  This gives you a second point of (3. 0).  Draw a line through those two coordinates.

Answer: Plot (0, -1) and (3, 0) and draw a line through them.

***************************************************************************************

y = 4 +  \frac{1}{3}x    ⇒   y =  \frac{1}{3}x  + 4

Same as above.  Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).

Answer: Plot (0, 4) and (3, 5) and draw a line through them.

***********************************************************************************

You should end up with two PARALLEL lines.  Since the lines never intersect, there are no solutions to this system of equations.

Answer: No Solution

3 0
3 years ago
You are ordering a pizza and soda for the big game. A deep dish pizza costs $10.25, and a two-liter of soda is $2.00. For each t
lions [1.4K]
10.25 + 2.00 = 12.25...cost of pizza and soda

12.25 - 1.50x = 4.75....with x being the number of touchdowns
-1.50x = 4.75 - 12.25...I subtracted 12.25 from both sides
-1.50x = - 7.50...now divide both sides by -1.50
x = -7.50 / -1.50
x = 6......They would have to score 6 touchdowns

5 0
3 years ago
Find the factors of 200m2 - 800n2.
leonid [27]

Answer:

Step-by-step explanation:

200m^2-800n^2=200(m^2-4n^2)

8 0
2 years ago
Why does it take 30 years to pay $150.000 lan, even though you pay $100 a month
Delicious77 [7]

Answer:

because you have to multiply the 100x12= 1200 than multiply that by another 1200

Step-by-step explanation:

4 0
2 years ago
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