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pishuonlain [190]
2 years ago
8

What are the first five common multiples of 8 and 11?

Mathematics
1 answer:
Lelechka [254]2 years ago
4 0
8x11=88
so it's 88,176,264,352 and 440
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Use the discriminant to determine the nature of the roots of the following equation.
kvv77 [185]

Discussion

The discriminate is b^2 - 4*a*c

The general equation for a quadratic is ax^2 + bx + c

In this equation's case

a = 1

b= -5

c = - 3

Solve

(-5)^2 - 4*(1)*(-3)

25 - (-12)

25 + 12

37

Note

Since the discriminate is > 0, the roots are real and different. The roots do exist and there are 2 of them.

4 0
2 years ago
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
makkiz [27]

Answer:

Step-by-step explanation:

x + 2y + 3z = 12

z=\frac{12-x-2y}{3}

Volume = V=f(x,y) = xy(\frac{12-x-2y}{3} )

find partial derivatives using product rule

f_x =\frac{y}{3} (12-2x-2y)\\f_y = \frac{x}{3} (12-x-4y)

i.e.

Using maximum for partial derivatives, we equate first partial derivative to 0.

y=0 or x+y =6

x=0 or x+4y =12

Simplify to get y =2, x = 4

thus critical points are (4,2) (6,0) (0,3)

Of these D the II derivative test gives

D<0 only for (4,2)

Hence maximum volume is when x=4, y=2, z= 4/3

Max volume is = 4(2)(4/3) = 32/3

6 0
3 years ago
15 increased by a number x
aleksandrvk [35]
15 increased by a number x: 15 + x
a number x more than −14: x > -14
t<span>he difference of 7 and a number x: </span>7/x
3 0
3 years ago
A computer company has a special going in which all customers receive a free monitor and scanner with the purchase of a new comp
kipiarov [429]

Answer:

2160

Step-by-step explanation:

Given : At a computer​ store, a customer is considering 10 different​ computers, 6 different​ monitors, 9 different printers and 4 different scanners. We assume that each of the components is compatible with one another and that one of each is to be​ selected. then by Fundamental counting principle , the number of different computer systems possible is given by :-

10x6x9x4= 2160

Hence, the number of different computer systems possible= 2160The Fundamental Counting Principle is a technique in Mathematics to calculate the number of possible outcomes by multiplying the events together .

HOPE THIS HELPED ;3

7 0
3 years ago
Using y=mx+b find the slope for<br> 7) 8x + 3y = −9
malfutka [58]

Answer:

-8/3

Step-by-step explanation:

8x + 3y = - 9

Let's make y the subject of the formula.

y = - 9/3 - 8x/3

Rearrange

y = - 8x/3 - 3

The slope is the coefficient of x which is - 8/3

If you don't understand, please leave a comment

Please gimme brainliest

7 0
2 years ago
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