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Alenkasestr [34]
3 years ago
11

PLEASE HELP QUICK What are the solutions for x when y is equal to 0 in the quadratic function

Mathematics
2 answers:
Tanya [424]3 years ago
8 0

x = -9 and x = 8 when y = 0 is the answer

vova2212 [387]3 years ago
5 0

Answer: x= -9,8

Step-by-step explanation:

x=?

y=0

y=x^2+x-72

0=x^2+x-72

0=(x+9)(x-8)

x+9=0            x-8=0

-9   -9            +8     +8

x= -9                 x=8

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Y is a differentiable function of x. Choose the alternative that is the derivative dy / dx.
murzikaleks [220]

Differentiating both sides of

x^3-y^3=1

with respect to <em>x</em> yields (using the chain rule)

3x^2 - 3y^2 \dfrac{\mathrm dy}{\mathrm dx} = 0

Solve for d<em>y</em>/d<em>x</em> :

3x^2 - 3y^2 \dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ 3y^2\dfrac{\mathrm dy}{\mathrm dx} = 3x^2 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{3x^2}{3y^2} = \dfrac{x^2}{y^2}

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2 years ago
A circular field has a area of 14400 sq ft <br> What is the diameter of the field?
Bingel [31]

Answer:

240/sqrt(pi)

Step-by-step explanation:

We know that the area of a circle is $pi*r^2$, and we also know that the diameter of a circle is equal to $2r$.

Let's first make an equation for this problem.

pi*r^2=14400

Dividing both sides by pi, we get

r^2=14400/pi

Now, taking the square root of both sides gives us

r=120/sqrt(pi)

We are trying to find the diameter, which is twice the size of the radius.

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3 years ago
Eric made a drawing of his rectangular bedroom with the scale 1 inch=3 feet. The drawing was 5 inches long 4 inches wide. What w
kolbaska11 [484]

Answer:

180 square feet

Step-by-step explanation:

We know that the rectangular drawing has:

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  • 4 inches wide (W)

And we also know that:

<em>1 inch = 3 feet</em>

We will find how many feet long and wide is the actual room, by multiplying:

Long: 5 inches * 3 feet/inch = 15 feet

Wide: 4 inches * 3 feet/ inch = 12 feet

Now we want to know the area of the rectangle, and the area of the rectangle is:

<em>A = L*W</em>

<em>A = 15 feet * 12 feet</em>

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3 years ago
To win the carnival game Ring Ding, you must toss a wooden ring onto a grid of rectangles so that it lands without touching any
guapka [62]

Answer:

5in x 10in

Step-by-step explanation:

Solution:

1.  You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.  

 

2.  For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:

                               L = (x - 2(1.5)) = x - 3

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3.  Now, we will set up and solve our geometric probability equation.  The winning rectangle's area of (x-3)*(2x-3) divided by the total rectangle's area of x*(2x) = 28%

 

                                (2x-3)*(x-3)/(2x^2) = .28

                                2x^2 - 9x + 9 = .56x^2

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4 .  Now you can plug that in the quadratic formula and get the solutions x = 1.25 or 5.  However, it cannot by 1.25 because that is too small of a dimension for the the circle with diameter of 3 to fit in, the answers has to be 5.

 

5. As a result, the dimensions of the rectangles are 5in x 10in.  

6 0
3 years ago
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