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erastova [34]
3 years ago
9

Two lines, A and B, are represented by the following equations:

Mathematics
2 answers:
almond37 [142]3 years ago
4 0

Answer:

D.

Step-by-step explanation:

The solution is where the lines intersect which is at the point (3,2).

So the answer is Option D.

The point (3,2) satisfies both equations.

cluponka [151]3 years ago
3 0

Answer:  The correct option is

(D) (3, 2), because both lines pass through this point.

Step-by-step explanation:  Given that the two lines A and B are represented by the following equations :

Line A: y = x − 1  

Line B: y = −3x + 11

We are to select the correct option that shows the solution to the above system of equations with reason.

The solution to the above system of linear equations will be the point through which both the lines A and B passes.

Now, comparing the values of y from both the equations, we get

x-1=-3x+11\\\\\Rightarrow x+3x=11+1\\\\\Rightarrow 4x=12\\\\\Rightarrow x=\dfrac{12}{4}\\\\\Rightarrow x=3.

And, from first equation, we get

y=x-1=3-1=2.

Thus, the required solution is (3, 2) because both the lines pass through this point.

Option (D) is CORRECT.

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loris [4]

Answer:

0.30

Step-by-step explanation:

$6 Total

20 markers

6/20=0.30

0.3 per maker.

Cost of 1 marker is $0.30

6 0
3 years ago
Brand X costs $2.70 for 10 ounces. Brand Y costs 4 cents more per ounces. What is the cost of 11 ounces of brand Y?
Ksju [112]
Well you have to first find the constant of Brand X which would be 2.70/10 = .27. Brand Y is .4 more so that would be .31 per ounce. So then .31 x 11 = 3.41. The cost of 11 ounces of brand Y is $3.41.
8 0
2 years ago
When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F
aleksandr82 [10.1K]

Let x be the unknown number. So, three times that number means 3x, and the square of the number is x^2

We have to sum 528 and three times the number, so we have 528+3x

Then, we have to subtract this number from x^2, so we have

x^2-(3x+528)

The result is 120, so the equation is

x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0

This is a quadratic equation, i.e. an equation like ax^2+bx+c=0. These equation can be solved - assuming they have a solution - with the following formula

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

If you plug the values from your equation, you have

x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}

So, the two solutions would be

x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27

x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24

But we know that x is positive, so we only accept the solution x = 27

6 0
3 years ago
A large soft drink costs one and a half times as much as small soft drink. If a small drink costs n dollars, write an expression
ASHA 777 [7]
A) 1.5n................................
5 0
3 years ago
Read 2 more answers
Which of the binomials below is a factor of this trinomial? x2 + 5x + 6
lianna [129]

Factor out the trinomial. Find factors of x² and 6 that would, when added, give you 5x

x² = x * x

6 = 3 * 2

(x + 3)(x + 2) are your binomials.

To solve for x, set each parenthesis = 0

x + 3 = 0

x + 3 (-3) = 0 (-3)

x = -3

x + 2 = 0

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

x = -2

x = -3, -2

hope this helps

5 0
2 years ago
Read 2 more answers
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