25 because there's 5 people so you take 5 times 5
True. they are both x so they are like terms
There are two ways to do this. The first of which is the algebraic method. Plug in y = 0 and solve for x.
y = 4x - 2
0 = 4x - 2 ... y is replaced with 0
4x-2 = 0
4x-2+2 = 0+2 ... we add 2 to both sides
4x = 2
4x/4 = 2/4 .... divide both sides by 4
x = 1/2
x = 0.5
The x intercept is x = 1/2 or x = 0.5
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The other approach is to graph the equation y = 4x-2, and mark where the line crosses through the x axis. You should find it crosses through x = 1/2 or x = 0.5; the x intercept as an ordered pair would be (1/2, 0) or (0.5, 0)
side note: the equation y = 4x-2 goes through the points (0,-2) and (1,2). You find this by plugging in x = 0 and x = 1 respectively to find the corresponding y values.
The mean of the score for your answer is 4.4
If (ax + 2)(bx + 7) = 15(x
2) + cx + 14 for all values of x, and a + b = 8 then the two possible values for c is 31 and 41.
<h3>
What is meant by linear equation?</h3>
A linear equation is an algebraic equation with only a constant and a first-order (linear) term of the form y = mx + b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation of two variables," where y and x are the variables.
Let the equation be
(ax + 2)(bx + 7) = 15
+ cx + 14
(ax + 2)(bx + 7) = ab
+ 7ax + 2bx + 14 = ab
+ (7a + 2b) + 14
On comparing both equations
ab = 15 ------ (1)
7a + 2b = c -------(2)
Also, it is given that a + b = 8 --------(3)
From equations (1) and (3) it can be observe that either a or b equal to 3 or 5
From equation (2),
When a = 3 and b = 5, then c = 7(3) + 2(5) = 21 + 10 = 31
When a = 5 and b = 3, then c = 7(5) + 2(3) = 35 + 6 = 41
Therefore, the correct answer is option D) 31 and 41
To learn more about linear equation, refer to:
brainly.com/question/2030026
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