Answer:
Step-by-step explanation:
30 ≤ 23 + x
7 ≤ x
4x-3=9x-13
10=5x
2=x
So these functions intersect when x=2.
Answer:
The value of a will be 
Step-by-step explanation:
Start by graphing the parabola and the three points of the triangle. These points are at intersections of y=a(x-1)(x-4) and the axes
so the y = 0 points are (1,0) and (4,0).
The x = 0 intersection is when y=a(-1)(-4) or (0,4a)
The base and height of this triangle are
The base would be the distance between the y=0 intersections and the height would be the y value of the other vertex.
Hence, base=3 units and height = 4a units. Thus, area can be calculated as


∵ the parabola opens downward therefore a will be negative.
hence, 
Answer:
a = 13, b = - 3
Step-by-step explanation:
Expand the left side and compare like terms on both sides
(3x + 1)(x - 2) ← expand using FOIL
= 3x² - 5x - 2
left side = 3x² - 5x - 2 + ax + b ← combine like terms
= 3x² + x(a - 5) + b - 2
right side = 3x² + 8x - 5
For the 2 sides to be equal then
a - 5 = 8 ( add 5 to both sides )
a = 13
and
b - 2 = - 5 ( add 2 to both sides )
b = - 3
Answer:
make a line going slash down to -7 and then draw a horizontial line parrel to the x axis
Step-by-step explanation:
here is a link to model rebrand.ly/s3gep1k