A pair of linear equations is shown below:
2 answers:
Answer:
<em>A. the first line has y-intercept = 5 and slope = -3, </em>
<em>and the second line has y-intercept = 2 and slope = 1.</em>
Explanation:
The given pair of lines are as follows,
The general slope-intercept form of straight line is,
where,
m = slope of the line
c = y-intercept
Comparing this with the line equations,
slope of 1st line = -3, y-intercept of 1st line = 5
slope of 2nd line = 1, y-intercept of 2nd line = 2
*The point of intersection is attached below.
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Answer: 44
Step-by-step explanation:
1/5 of the slab are grey implies that 4/5 are yellow.
The ratio of grey to yellow is thus given as :
1/5 : 4/5
which is 1 : 4
Therefore , the ratio of grey to yellow is 1: 4
The total ratio = 1 + 4 = 5
To calculate the number of yellow , we use the formula
number of yellow = X total number of slabs , that is
number of yellow = X 55
number of yellow slab = 44
Answer:
a = -0.32
b = 16
c = - 168
Step-by-step explanation:
In the figure attached, the quadratic function is shown. We can model it as follows:
y = a*(x - x1)*(x - x2)
where (x1, 0) and (x2, 0) are its roots
From the picture, roots are (15, 0) and (35, 0), replacing them into the equation:
y = a*(x - 15)*(x - 35)
and the vertex is at (25,32), replacing into the equation:
32 = a*(25 - 15)*(25 - 35)
32 = a*(-100)
a = 32/(-100)
a = -0.32
Applying distributive property:
y = -0.32*(x - 15)*(x - 35)
y = -0.32*(x² - 35x - 15x + 525)
y = -0.32x² + 16x - 168
which corresponds to the general form:
y = ax² + bx + c
