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3 years ago

Describe whether each of the following is linear or not linear. In each case, explain your answer.

1 answer:

4 0

A. 3x+4y+2=0 ----------linear

B. X= 2,4,6,8 Y=1,5,15,30 -------nonlinear

C. You have a secret that you tell to one person. Every hour, each of the people that know the secret tells one person. The number of people who know is N, and t is the number of hours since you told the first person. Is N a linear function of t? ----------linear

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A silversmith mixed 100 g of a 40% silver alloy with 40 g of

notsponge [240]

Hey, don’t call for that link thing. It’s fake. Here’s how I solved this: x = [35(80%) + 70(25%)]/(35 + 70) = 43.3%

The answer is 43.3%

6 0

3 years ago

Need help what are the classifications of each system

ratelena [41]

You can graph them on Desmos, then use this attachment to find out the classification.

In the first system, they're the same line and have infinitely many solutions, therefore the answer is consistent, dependent.

In the second system, they're parallel lines with no solution, therefore the answer is inconsistent.

In the third system, they intersect and they have one solution, therefore the answer is consistent, independent.

In the fourth system, they're the same line and have infinitely many solutions, therefore the answer is consistent, dependent.

5 0

3 years ago

Find x so that the points (x,x+1), (x+2,x+3) and (x+3,2x+4) form a right-angled triangle.

azamat

Let a, b, and c be vectors each starting at the origin and terminating at the points (x, x + 1), (x + 2, x + 3), and (x + 3, 2x + 4), respectively.

Then the vectors a - b, a - c, and b - c are vectors that point in directions parallel to each of the legs formed by the triangle with these points as its vertices.

If this triangle is to contain a right angle, then exactly one of these pairs of vectors must be orthogonal. In other words, one of the following must be true:

(a - b) • (a - c) = 0

or

(a - b) • (b - c) = 0

or

(a - c) • (b - c) = 0

We have

a - b = (x, x + 1) - (x + 2, x + 3) = (-2, -2)

a - c = (x, x + 1) - (x + 3, 2x + 4) = (-3, -x - 3)

b - c = (x + 2, x + 3) - (x + 3, 2x + 4) = (-1, -x - 1)

Case 1: If (a - b) • (a - c) = 0, then

(-2, -2) • (-3, -x - 3) = (-2)×(-3) + (-2)×(-x - 3) = 2x + 12 = 0 ==> x = -6

which would make a - c = (-3, 3) and b - c = (-1, 5), and their dot product is not zero. Then the triangles vertices are at the points (-6, -5), (-4, -3), and (-3, -8).

Case 2: If (a - b) • (b - c) = 0, then

(-2, -2) • (-1, -x - 1) = (-2)×(-1) + (-2)×(-x - 1) = 2x + 4 = 0 ==> x = -2

which would make a - c = (-3, -1) and b = (-1, 1), and their dot product is also not zero. The vertices are the points (-2, -1), (0, 1), and (1, 0).

Case 3: If (a - c) • (b - c) = 0, then

(-3, -x - 3) • (-1, -x - 1) = (-3)×(-1) + (-x - 3)×(-x - 1) = x ² + 4x + 6 = 0

but the solutions to x here are non-real, so we throw out this case.

So there are two possible values of x that make a right triangle, x = -6 and x = -2.

3 0

3 years ago

Jane studies the properties of four ionic compounds: NaCl, KBr, Cas, and Mgo, as shown in the table.

Serhud [2]

Answer:

Step-by-step explanation:

3 0

3 years ago

Jason wakes up for school at 5:30 in the morning. If school starts at 7:00 am, how long in minutes does he have from the time wh

Naddika [18.5K]

Answer:

90 minutes

Step-by-step explanation:

an hour is 60 minutes+ another 30 minutes= 90

3 0

3 years ago