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Mama L [17]
3 years ago
12

Find the zeros of g(x) = -x^2 + 6x - 8

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

(Remember to set g(x) to zero).

For this, I will be completing the square. Firstly, what two terms have a product of 8x^2 and a sum of 6x? That would be 4x and 2x. Replace 6x with 2x + 4x: 0=-x^2+2x+4x-8

Next, factor -x^2 + 2x and 4x - 8 separately. Make sure that they have the same quantity on the inside of the parentheses: 0=-x(x-2)+4(x-2)

Next, you can rewrite the equation as 0=(-x+4)(x-2)

Now apply the Zero Product Property:

-x+4=0\\-x=-4\\x=4\\\\x-2=0\\x=2

<u>The zeros of this equation are 4 and 2.</u>

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Does anyone know how to answer this?
max2010maxim [7]
Given that
The length of the rectangle 4cm and the breadth is 3cm
Area of rectangle= length * breadth
Area= 4*3
= 12cm^2
Hope it helped
3 0
2 years ago
Read 2 more answers
PLEASE ANSWER
Flauer [41]

Answer:

c and d are correct

Step-by-step explanation:

5 0
2 years ago
Q5.Jumbo is standing on top of a cliff looking at a speed boat out at sea.The vertical of the cliff from the base (sea level) to
Leni [432]

Answer:

A) 150 m

B) 180.28 m

Step-by-step explanation:

A) In order to find the horizontal distance from the base of the cliff to the speed boat, use the Pythagorean theorem to calculate the length of the missing side.

We are told that one of the sides is 80 m and the hypotenuse is 170 m. Therefore,

  • a² + b² = c²
  • (80)² + b² = (170)²
  • b² = 170² - 80²
  • b² = 22500
  • b = 150

The horizontal distance between the base of the cliff and the boat is 150 m.

B) Now, the side that was 80 m is now 100 m (includes the height that the helicopter is above Jumbo). The horizontal distance remains the same, 150 m, but the hypotenuse is different. Solving for the hypotenuse will give us the distance between the helicopter and the speed boat.

  • (100)² + (150)² = c²
  • 32500 = c²
  • 180.28 = c

The distance between the helicopter and the speed boat is 180.28 m.

8 0
3 years ago
Solve for x: 12(x-2)&lt;24
il63 [147K]
<span>12(x-2)<24
Multiply the number outside the parenthesis with the numbers inside the parenthesis
12x-24<24
Add 24 to both sides
12x<48
Divide both sides by 12 so that x is the only thing remaining on the left side is the x variable.
Final Answer: x<4</span>
6 0
3 years ago
Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 5 m
Dmitry [639]

Answer:

9 m

Step-by-step explanation:

Let x be the original side of the square flower garden

We increase it by 5

The new side length is (x+5)

The area of a square is found by

A = s^2 where s is the side length

A = (x+5)^2

The area is 196

196 = (x+5)^2

Take the square root of each side

sqrt(196) = sqrt((x+5)^2)

14 = x+5

Subtract 5 from each side

14-5 = x+5-5

9 =x

The original side is 9 m

5 0
3 years ago
Read 2 more answers
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