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xxMikexx [17]
2 years ago
9

Identify the domain of the function shown in the graph.

Mathematics
1 answer:
Citrus2011 [14]2 years ago
7 0
B because at the end of the graphed line it has arrows which indicates that the graph will go on and on. A continuous graph.
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If vectors u,v and w ar linearly indepndnt, will u-v,v-w & u-w also be linearly indpnt? ...?
inna [77]
No they won’t be.Consider the linear combination (1)(u – v) + (1) (v – w) + (-1)(u – w).This will add to 0. But the coefficients aren’t all 0.Therefore, those vectors aren’t linearly independent.
You can try an example of this with (1, 0, 0), (0, 1, 0), and (0, 0, 1), the usual basis vectors of R3.
That method relied on spotting the solution immediately.If you couldn’t see that, then there’s another approach to the problem.
We know that u, v, w are linearly independent vectors.So if au + bv + cw = 0, then a, b, and c are all 0 by definition.
Suppose we wanted to ask whether u – v, v – w, and u – w are linearly independent.Then we’d like to see if there are non-zero coefficients in the linear combinationd(u – v) + e(v – w) + f(u – w) = 0, where d, e, and f are scalars.
Distributing, we get du – dv + ev – ew + fu – fw = 0.Then regrouping by vector: (d + f)u + (-d +e)v + (-e – f)w = 0.
But now we have a linear combo of u, v, and w vectors.Therefore, all the coefficients must be 0.So d + f = 0, -d + e = 0, and –e – f = 0. It turns out that there’s a free variable in this solution.Say you let d be the free variable.Then we see f = -d and e = d.
Then any solution of the form (d, e, f) = (d, d, -d) will make (d + f)u + (-d +e)v + (-e – f)w = 0 a true statement.
Let d = 1 and you get our original solution. You can let d = 2, 3, or anything if you want.

6 0
3 years ago
WILL MAKR BRAINLIEST PLSSSS HELP
Afina-wow [57]

Answer:

1. y=3/2x + 12   2. y= 1/4x + 8

Step-by-step explanation:

Use the slope formula to get the slope for each line.  Then plug either of the x and y coordinates into the formula y= mx + b and also plug in the slope that you just found and solve for b.

7 0
3 years ago
How many 1 1/2 liter bottles of water does it take to fill a 16 liter jug
timurjin [86]

11 bottles are needed to fill a 16 liter jug

<em><u>Solution:</u></em>

Given that, there is a 16 liter jug

There are 1\frac{1}{2} liters of bottle

<em><u>Let us first convert the mixed fraction to improper fraction</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

\rightarrow 1\frac{1}{2} = \frac{2 \times 1 + 1}{2} = \frac{3}{2} = 1.5

Thus the bottle is of 1.5 liter

We have to find the number of 1.5 liter bottles needed to fill 16 liter jug

Divide 16 by 1.5 to get result

Number\ Of\ Bottles = \frac{16}{1.5} = 10.67 \approx11

Thus 11 bottles are needed to fill a 16 liter jug

7 0
3 years ago
If there are 10 billion transistors (each of a square shape) uniformly (without space) distributed on a silicon chip with the sq
Karo-lina-s [1.5K]

Answer:

the transistors have L=1 mm of linear size

Step-by-step explanation:

For the silicon chip the area is A=1 cm² and for the transistors the area is At=L² (L=linear size) . Then since N= 10 billion transistors of area At should fit in the area A

A=N*At

A=N*L²

solving for L

L= √(A/N)

Assuming that 1 billion=10⁹ (short scale version of billion), then

L= √(A/N) = √(1 cm²/10⁹) = 1 cm / 10³ = 1 mm

then the transistors have L=1 mm of linear size

4 0
3 years ago
HELP ASAP. a kite has diagonals of 18 inches and 21 inches as seen below. what is the perimeter of the kite
timofeeve [1]

Answer:

78 inches

Step-by-step explanation:

perimeter of a kite formula: 2(a+b)

a= 18 inches

b= 21 inches

2(18+21)

2(39)

78 inches

8 0
3 years ago
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