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timama [110]
3 years ago
6

Write a quadratic equation could some please help asap​

Mathematics
1 answer:
True [87]3 years ago
6 0

Answer:

f(x) = x^2 + 3x + 2.

Step-by-step explanation:

The zeroes of the quadratic function are -1 and -2 so we can write it as:

f(x) = a(x + 1)(x + 2)    where  a is some constant.

Now, when x = 1,  f(x) = 6 so

6 = a(1+1)(1+2)

6 = a*2*3 = 6a

a = 1.

So the function is f(x) = (x + 1)(x + 2) = x^2 + 3x + 2.

You might be interested in
Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin
vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

F =450N

x_1 = 30cm

x_2 = 60cm

Required

The work done

First, we calculate the spring constant (k)

F = kx_1

450N = k *30cm

k = \frac{450N}{30cm}

k =15N/cm

So:

F = kx_1

F(x) = 15x

The work done using Hooke's law is:

W =\int\limits^a_b {F(x)} \, dx

This gives:

W =\int\limits^{60}_{30} {15x} \, dx

Rewrite as:

W =15\int\limits^{60}_{30} {x} \, dx

Integrate

W =15 \frac{x^2}{2}|\limits^{60}_{30}

This gives:

W =15 *\frac{60^2 - 30^2}{2}

W =15 *\frac{2700}{2}

W =15 *1350

W =20250N-cm

Convert to Nm

W =\frac{20250Nm}{100}

W =202.50Nm

7 0
3 years ago
Which undefined term is needed to define a circle?
Solnce55 [7]
A Point is needed to define a circle Hope this helps!!!
3 0
4 years ago
Can someone help me please
soldier1979 [14.2K]

Step-by-step explanation:

c >= 2

that means any value of c greater or equal to 2 is a valid solution. so, yes, 2 is a solution for this.

c < 2

that means any value of c smaller than 2 is a valid solution. so, no, 2 is not smaller than 2, so it is not a solution.

c < 3

that means any value of c smaller than 3 is a valid solution. so, yes, 2 is smaller than 3, so 2 is a solution.

3 < c

that means any value of c, for that 3 is smaller, is a valid solution. our in other words, any value for c larger than 3 is a valid solution. so, no, 2 is not larger than 3, so it is not a solution.

-8 < c

that means any value of c, for that -8 is smaller, is a valid solution. our in other words, any value for c larger than -8 is a valid solution. so, yes, 2 is larger than -8, so it is a solution.

5 0
2 years ago
A rectangle has a length that is 9 feet less than four times its width. Its area is 90 square feet
kramer

Answer:

The length of rectangle is 15\ ft

The width of rectangle is 6\ ft

Step-by-step explanation:

Let

x-----> the length of rectangle

y----> the width of rectangle

we know that

The area of rectangle is equal to

A=xy

A=90\ ft^{2}

so

90=xy -----> equation A

x=4y-9 -----> equation B

substitute equation B in equation A and solve for y

90=(4y-9)y

4y^{2}-9y-90=0

using a graphing calculator

The solution is

y=6\ ft

Find the value of x

x=4y-9  -----> x=4(6)-9=15\ ft

5 0
4 years ago
The number of fans who attended a softball game increased from 1,200 for the first game to 1,500 for the second game. How many f
erma4kov [3.2K]
1875 fans will attend
6 0
3 years ago
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