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masya89 [10]
3 years ago
14

What is the equation?

Mathematics
1 answer:
solniwko [45]3 years ago
7 0

Answer:

y = [ 1 ]x + [-5]

Step-by-step explanation:

If two lines are parallel then their slopes will be the same.

So, y = x + c will be the equation of the straight line which is parallel to y = x - 3. (where c is a constant) ........ (1)

Now, given that equation (1) passes through the point (3,-2).

Therefore, from equation (1), we get

- 2 = 3 + c, ⇒ c = -5

So, the equation of the straight line will be y = x - 5 (Answer)

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If f(x) = x2 - 2x and g(x) = 6x + 4 for which value of x does (t +g)(x)=0​
Vinil7 [7]

Answer:

-2

Assumption:

Find the value of x such that (f+g)(x)=0.

Step-by-step explanation:

(f+g)(x)=0

f(x)+g(x)=0

(x^2-2x)+(6x+4)=0

Combine like terms:

x^2+4x+4=0

This is not too bad too factor on the left hand side since 2(2)=4 and 2+2=4.

(x+2)(x+2)=0

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So we need to solve:

x+2=0

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x=-2

Let's check:

(f+g)(-2)

f(-2)+g(-2)

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(4+4)+(-12+4)

(8)+(-8)

0

0 was the desired output of (f+g)(x).

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3 years ago
The sale price S (in dollars) of an item is given by the formula S=L−rL, where L is the list price (in dollars) and r is the dis
ser-zykov [4K]

The sale price S (in dollars) of an item is given by the formula

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18. One number is 3 less than a second number. Twice the second number is 12 more than 3 times the first.
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Answer: The numbers are -3 and - 6

Step-by-step explanation:

Let the first number be x and the second number be y , then from the first statement we have

x + 3 = y  ............. equation 1

From the second statement

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solving the resulting simultaneous equation by substitution method ,we have:

substitute x - 3= y  into equation 2 , we have

2( x + 3) = 3x + 12

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x = -6

substitute x = - 6 into equation 1 , that is

- 6 + 3 = y

Therefore ,

y = -3

2y = 3y + 3

Check:

x + 3 = y , implies

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Also 2y = 3x + 12 , implies

2(-3) = -6

3(-6) + 12 = -6

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