Answer:
2.6
Step-by-step explanation:
used a calculator to find out the answer
-3.1 + 5.7 + 2.6
The quadratic equation for this would be f(x) = 5x^2 - 10x - 120.
In order to find that, we need to start by taking our x intercept values and setting them equal to zero.
x = 6 ----> subtract 6 from both sides
x - 6 = 0
x = -4 ----> add 4 to both sides
x + 4 = 0
Now that we have both of these zero terms, we can multiply them to get a standard form.
f(x) = (x - 6)(x + 4)
And while this will give us the zeros we need, it will no give us the lead coefficient. So we must multiply by the desired lead coefficient.
f(x) = 5(x - 6)(x + 4)
f(x) = 5(x^2 - 6x + 4x - 24)
f(x) = 5(x^2 - 2x - 24)
f(x) = 5x^2 - 10x - 120
Since both equal y, they have to equal each other. set them equal to each other as -3x+1=2x-4. add four to both sides to get -3x+5=2x. add -3x to both sides to get 5=5x. divide both sides by one to get x=1.
Answer:
Step-by-step explanation:
1) length = x m
breadth = x/2 m
Area of rectangular floor = 32 square m
Length = 8 m
Breadth =8/2 = 4 m
Perimeter = 2*(length + breadth) = 2*(8 + 4)
= 2*12
= 24 m
2) Perimeter of square = 12 cm
Side of a square = perimeter ÷ 4 = 12 ÷ 4 = 3 cm
Area =side *side = 3*3 = 9 cm²
3) Perimeter of square field = 60 m
Side = Perimeter ÷ 4 = 60 ÷4 = 15 m
Area of square = 15 * 15 = 225 m²
4) Perimeter of rectangle = 28 cm
breadth = (Perimeter ÷ 2) - length
= (28 ÷2) - 8
= 14 - 8
Breadth = 6 cm
Area of rectangle = 8 * 6 = 48 cm
Answer:
The rocket hits the gorund after approximately 10.71 seconds.
Step-by-step explanation:
The height of the rocket <em>y</em> in feet <em>x</em> seconds after launch is given by the equation:
And we want to find the time in which the rocket will hit the ground.
When it hits the ground, its height above ground will be 0. Hence, we can let <em>y</em> = 0 and solve for <em>x: </em>
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We can use the quadratic formula:
In this case, <em>a</em> = -16, <em>b</em> = 165, and <em>c </em>= 69.
Substitute:
Evaluate:
Hence, our solutions are:
Since time cannot be negative, we can ignore the first answer.
So, the rocket hits the gorund after approximately 10.71 seconds.