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tester [92]
3 years ago
5

Solve for n: 21k – 3n + 9p > 3p + 12.

Mathematics
1 answer:
ycow [4]3 years ago
4 0
<span>n < 7k + 2p - 4 not too sure but i think this is right </span>
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Find parametric equations for the line through the point (0, 2, 2) that is parallel to the plane x + y + z = 4 and perpendicular
Oxana [17]

Answer: X = 3t, Y =2 - t, Z =2

Step-by-step explanation: the plane

x + y + z =4has normal vector

M =<1,1,1> and the line

x = 1 + t, y = 2 − t, z = 2t has direction

v =<1, −1, 2>. So the vector

A= n × v

=<1, 1, 1> × <1, −1, 2>

=<2−(−1),1−2,−1−1>

=<3,−1,−2>

5 0
4 years ago
(2x + 3y) + (4x - 3y) = 11+(-5)
Maurinko [17]

Answer:

The correct option should have been 6x=6.

Step-by-step explanation:

Given the expression

\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)

solving the expression

\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)

Remove parentheses:  (a) = a

2x+3y+4x-3y=11-5

Group like terms

3y-3y+2x+4x=11-5

Add similar elements

6x=6

It is clear that not a single given option is 6x=6. It means no option is correct. It seems you mistyped the correct options.

The correct option should have been 6x=6.

3 0
3 years ago
John paid $450 for a new mountain bicycle to sell in his shop. He wants to price it so that he can offer a 10% discount but stil
Ghella [55]

Answer:

$643.50

Step-by-step explanation:

Let i be the profit realized from the sale and d be the discount made on the sale:

#John's selling price can be calculated by first adding profit, i to $450, the d to the new price as:

P_n=P_o(1+i)+d[P_o(1+i)]\\=450(1+0.3)+0.1[450(1+0.3)]\\\\\\=450\times 1.3+0.1(450\times1.3)\\\\=585+58.5\\\\=643.50

Hence, John will resell the bike at $643.50

8 0
3 years ago
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algol [13]
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5 0
3 years ago
What is the equation of a line that contains the points (2,-2) and (0, -2)? y = 0
kvasek [131]
Y=-2 should be the answer
8 0
4 years ago
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