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Elis [28]
2 years ago
5

Find the substitution 2x+3y=-5 and y=-x+5

Mathematics
1 answer:
tatuchka [14]2 years ago
3 0

Answer: x = 20, y = -15

Step-by-step explanation:

Since we already know that y=-x+5, we can just substitute in that value of y into the other equation:

2x+3y=-5\\2x+3(-x+5)=-5\\2x-3x+15=-5\\-x=-5-15\\-x=-20\\x=20

with the value of x, we can find the value of y:

y=-x+5=-20+5=-15

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What are the dimensions of the prism
nexus9112 [7]

Answer:

lenght: 192

Width 128

Height: 64

Step-by-step explanation

if every other thing is times height then height is x so you would do x+2x+3x = 384 and solve from there to get 384/6x= 64

and since width is 2 times that then 64 times 2 is 128 and times 3 is the lenght

8 0
3 years ago
A train is traveling 55 mph to a destination that is 330 mi away. The function f(x)=−55x+330f(x)=−55x+330 represents the remaini
miv72 [106K]
F(x) = - 55x + 330

The domain is the set of possible input-values, i.e. x-values.

You know that f(x) cannot bebigger than 330 not lower than zero, then construct the inequality:

0 ≤ f(x) ≤ 330

0 ≤ - 55x + 330 ≤ 330

Multilply by - 1 and change the inequality signs:

0 ≥ 55x - 330 ≥ -330

Add 330 to all the members

330 ≥ 55x ≥ 0

Divide by 55

6 ≥ x ≥ 0 => 0 ≤ x ≤ 6

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7 0
3 years ago
For which values of c does the following polynomial have two complex roots? X^2+4x+C
Grace [21]

For this case we have that by definition, the discriminant of a quadratic expression is given by:

d = b ^ 2-4 (a) (c)

If the discriminant is less than zero then the expression has two different complex roots.

In this case we have the following expression:

x ^ 2 + 4x + c

So we have to:

a = 1\\b = 4\\c = c\\

The discriminant is given by:

d = 4 ^ 2-4 (1) (c)\\d = 16-4c

Then, if we want two complex roots it must be fulfilled that:

16-4c

Thus, the expression has two complex roots for all values greater than 4.

ANswer:

c> 4

5 0
3 years ago
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3 0
3 years ago
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subtract 1/3x

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5 0
3 years ago
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