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kkurt [141]
2 years ago
15

Solve the quadratic equation: 2(x-3)^2-24-0

Mathematics
1 answer:
Keith_Richards [23]2 years ago
7 0

Answer:

x=3+2×sqrt(3)

x=3-2×sqrt(3)

Step-by-step explanation:

2(x-3)²-24=0

2(x-3)²=24

(x-3)²=12

Case 1:

x-3=sqrt(12)=2×sqrt(3)

x=3+2×sqrt(3)

Case 2:

x-3=-sqrt(12)=-2×sqrt(3)

x=3-2×sqrt(3)

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Solve by graphing.
const2013 [10]

Answer:

(4,4)

Step-by-step explanation:

y = 2x - 4 -------eqn 1

4y = x + 12 ------eqn 2

From eqn 1 y = 2x - 4; insert in eqn 2

4 (2x-4) = x + 12 (open the bracket)

8x - 16 = x + 12 (taking like figures to the same side, sign changes)

8x - x = 12 + 16

7x = 28

x = 28/7

x = 4

From eqn 1

y = 2x - 4

y = 2(4) - 4

y = 8 - 4

y = 4

(x,y) = (4,4)

8 0
3 years ago
Factor 2x^3 +x^2-15x-18
chubhunter [2.5K]

Factor the polynomial

(x-3)(2x+3)(x+2)

7 0
3 years ago
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
mamaluj [8]

Answer:

The height of the candle after 7 hours is 21.3 centimeters.

Step-by-step explanation:

From the information given you can assign the following values:

x1=10; y1=21

x2=28; y2=19.2

First, you have to find the slope using the following formula:

m=\frac{y2-y1}{x2-x1}

m=\frac{19.2-21}{28-10}

m=-0.1

Then, you can find the equation using the point/slope formula:

y-y1=m(x-x1)

y-21=-0.1(x-10)

y-21=-0.1x+1

y=-0.1x+22

Finally, to find the answer you need to replace the value of x that would be 7 in y=-0.1x+22:

y=-0.1(7)+22

y=-0.7+22

y=21.3

According to this, the height of the candle after 7 hours is 21.3 centimeters.

8 0
3 years ago
Whwhwhhwhwhwhwhwhwhyyyyyyyyyyyy
jenyasd209 [6]

Answer:

It takes him 4 hours to paint 380 square feet of the fence.

Step-by-step explanation:

Since it took one hour to paint 95 square feet of his fence, you just divide 380 by 95 to get 4.

8 0
2 years ago
Read 2 more answers
Part B: Solve 3w – 6r = 30 for r. Show your work.
Alina [70]
Sorry I don't really understand the question but

If you are looking for r in terms of w:

3w - 6r = 30
-6r = 30 - 3w
r = -5 + 0.5w
r = 0.5w - 5
=========================================
If you are looking for the exact value of x, sorry, I don't know..... (-_-")
3 0
3 years ago
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