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ahrayia [7]
2 years ago
13

Factorise fully the following: a) 3x^3-9x b) 4x^2+28^3

Mathematics
1 answer:
Leokris [45]2 years ago
3 0

Answer:

3 x(x^2-3)

4x(x^2+5488)

Step-by-step explanation:

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What are the zero(s) of the function f(x)=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B4x%5E%7B2%7D-36x%20%7D%7Bx-9%7D" id="TexFo
Contact [7]

Answer:

D

Step-by-step explanation:

The function will be zero when the numerator is equal to 0. So, set the numerator equal to 0 and solve:

0 = 4 {x}^{2}  - 36x

I will use the quadratic formula:

\frac{ 36  +  \sqrt{ {36}^{2}  - 4(4)(0)} }{2(4)}  \\  \frac{  36 + 36}{8}  = 9

Therefore, x = 9 is a 0. Let's check with subtracted root now:

\frac{ 36   -    \sqrt{ {36}^{2}  - 4(4)(0)} }{2(4)}  \\  \frac{ 36  -  36}{8}  =  0

It appears 0 is also a root.

Therefore, the answer is D.

7 0
3 years ago
Hey does anyone know all the numbers or just a few! It would be such a help if you do :)
wolverine [178]
(4,3) (-3,4)(-3,2)(-1,2)
8 0
2 years ago
Can someone help me with this problem.
Oksanka [162]

Answer:

negative because the container is losing liquid.

Step-by-step explanation:

y-5x is the rate

7 0
2 years ago
Jocelyn owns a food truck that sells tacos and burritos. She only has enough supplies to make 150 tacos or burritos. She sells e
timurjin [86]

Answer:

We know that:

Price of a taco = $4

Price of a burrito = $6.50

x = number of tacos sold

y = number of burritos sold.

We must have that:

x + y ≤ 150  (Because she only has supplies to make 150 tacos or burritos, but she can sell less than that)

And also we know that she must sell at least $780, then:

x*$4 + y*$6.50 ≥ $780

Now we found the system of inequalities:

x + y ≤ 150

x*$4 + y*$6.50 ≥ $780

To solve it graphically, we just need to find each one of the region solutions for each equation, and the intersection of these regions will be the solution for the system.

To graph them may be easier to write them as lines, you can do it as follows:

y ≤ 150 - x

y ≥ ($780 - x*$4)/$6.50

in the first equation, we will shade the area below the line, and in the second equation, we will shade the area above the line.

You can see the image below.

Where the accepted solutions are the ones in the darker part, and we only restrict this to positive values of x (because of how we defined the variable x)

Then looking at the image, we can see that one solution can be the point

x = 20, y = 120

7 0
3 years ago
I need help with this problem if you can help please tell me what you did so I can understand please :)
balu736 [363]

The perimeter is 20 units

Step-by-step explanation:

The end-point of a side of square can be used to calculate length of a side. And the side will be used to calculate the perimeter.

Given

(3,-1) and (7,2)

Let

(3,-1) = (x1,y1)

(7,2) = (x2,y2)

We have to calculate the distance

The formula for distance is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Let s be the side of a square

then,

s=\sqrt{(7-3)^2+(2-(-1))^2}\\s=\sqrt{(4)^2+(2+1)^2}\\=\sqrt{16+(3)^2}\\=\sqrt{16+9}\\=\sqrt{25}\\=5\ units

The side of square is 5 units. Then,

Perimeter=P=4s\\=5*4\\=20\ units

The perimeter is 20 units

Keywords: Perimeter, Square

Learn more about perimeter at:

  • brainly.com/question/10941043
  • brainly.com/question/10978510

#LearnwithBrainly

6 0
2 years ago
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