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uranmaximum [27]
3 years ago
7

What are the solutions to the following system of equations? Select the correct answer below. y = x^2 − 4x + 3 2x + y = 6

Mathematics
1 answer:
ELEN [110]3 years ago
7 0
2x+y=6

y=6-2x and y=x^2-4x+3

The solution occurs when they are equal so we can say y=y which is:

x^2-4x+3=6-2x  add 2x to both sides

x^2-2x+3=6  subtract 6 from both sides

x^2-2x-3=0  factor

(x+1)(x-3)=0

So x=-1 and 3, using y=6-2x we find the corresponding y values...

y(-1)=6--2=8, y(3)=6-6=0 so the two solutions are the points:

(-1,8) and (3,0)
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Which of the following choices is the x intercept of the equation 2y-x=-6
Rashid [163]

Answer:

x = 6

Step-by-step explanation:

Given

2y-x=-6

Required

Determine the x intercept

To get the value of x intercept; we simply substitute 0 for y;

i.e. y = 0

2y-x=-6 becomes

2(0)-x=-6

0-x=-6

-x=-6

Multiply both sides by -1

-1 * -x=-6 * -1

x=-6 * -1

x = 6

<em>Hence, the x intercept is 6</em>

6 0
3 years ago
Simplify 36n^7p^5 over 9n^4p
Artist 52 [7]
2(exponent2)n(exponent11)p(exponent6)
6 0
3 years ago
A number cube with the numbers 1 through 6 is rolled. What is the theoretical probability, as a decimal, of the number cube show
Zina [86]
The theoretical probability of rolling a three would be 1/6.
1/6 expressed as a decimal would be 0.17.
4 0
3 years ago
Read 2 more answers
-8y^3( 7y^2- 4y - 11)<br><br>How do you Factor this?
marshall27 [118]

-8y^3( 7y^2- 4y - 11)

-8y^3 (7y-11) (y+1)

8 0
3 years ago
&lt;RQT is a straight angle. What are m&lt;RQS and m&lt;TQS​
never [62]

Answers:

  • x = 11
  • angle RQS = 106 degrees
  • angle SQT = 74 degrees

===========================================================

Explanation:

Straight angles are always 180 degrees in measure.

The two smaller angles shown add up to 180

(angle RQS) + (angle SQT) = angle RQT

(9x+7) + (6x+8) = 180

(9x+6x) + (7+8) = 180

15x+15 = 180

15x = 180-15

15x = 165

x = 165/15

x = 11

From here, we then know that,

  • angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
  • angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees

Note how the two results add to 106+74 = 180 to help confirm the answers.

8 0
3 years ago
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