Answer:
Step-by-step explanation:
6) the answer is option b
y = - x + 3
x - y = 1
From the graph, the point at which the lines of the two equations meet is the solution to the system of equations
The points = x = 2 and y = 1
If you substitute these values in option b, it satisfies the equations.
7) the correct option is d
-x + y = -3 - - - - - - -1
2x -y = 6 - - - - - - 2
If we solve using elimination method,
Multiply equation 1 by 2 and equation 2 by 1
-2x + 2y = -6
2x -y = 6
Adding both equations
y = 0 and substituting y = 0 in equation 2,
x = 3
So y = 0 and x = 3
So it has only one solution
8) The lines of the two equations meet at a point where x = 3 and y = 0
Option d is the correct answer
-x +y = -3
2x - y = 6
Substituting x = 3 and y = 0 in option d,
- 3 + 0 = -3
6 - 0 = 6
9) y = x-2
x = 17-4y
Substituting y = x - 2 in x = 17 - 4y, we have
x = 17 -4(x - 2)
Opening the bracket
x = 17 - 4x + 8
x + 4x = 17 + 8
5x = 25
x = 25/5 = 5
Answer:
- x² +3x -8x -24
- (x² +3x) +(-8x -24)
- x(x +3) -8(x +3)
- (x +3)(x -8)
Step-by-step explanation:
This is trying to help you understand a method of factoring trinomials.
The first step is to look at the linear term (-5x) and the constant term (-24) and identify the coefficients and their signs: -5 and -24.
The next step is to identify factors of -24 (the constant) that have a sum equal to -5 (the linear term coefficient). We can look at the ways that -24 can be factored:
-24 = 1(-24) = 2(-12) = 3(-8) = 4(-6)
The sums of these factor pairs are 1-24=-23, 2-12=-10, 3-8=-5, 4-6=-2. Of course, the pair we're looking for is +3 and -8.
The next step from here is to rewrite the linear term using these factors. (-5x=3x-8x) This is the first step of the sequence shown in the figure:
x² +3x -8x -24
The next step is to group these terms in pairs:
(x² +3x) +(-8x -24)
And then, to factor each pair using the distributive property:
x(x +3) -8(x +3)
Finally, finish the factoring, again using the distributive property:
(x +3)(x -8)
Answer:
100×712 is equal to 71200
so the equality of 712 is 71200
Using the Factor Theorem, the inequality that represents the given region is:
<h3>What is the Factor Theorem?</h3>
The Factor Theorem states that a polynomial function with roots is given by:
In which a is the leading coefficient.
The roots are given as follows:
Hence:
y = a(x + 40)(x - 50)
It includes the point (-55,-75), hence:
-75 = a(-55 + 40)(-55 - 50)
a = 75/(15 x 105)
a = 1/21
Hence the region less than the equation is:
More can be learned about the Factor Theorem at brainly.com/question/24380382
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