Hello!
We can find the area of the trapezoid using the formula for area of a trapezoid:
FORMULA:
A = [(b + b) * h / 2]
SUBSTITUTE:
A = [(13.5 + 27.5) * 14 / 2]
SOLVE:
A = 41 * 14 / 2
A = 574 / 2
A = 287 cm²
So, the area of the trapezoid is 287 cm².
For
ax+by=c
the slope is -a/b
20x+25y≥200
slope=-20/25=-4/5
negative slope
yint is where x=0
20(0)+25y≥200
25y≥200
y≥98
positive yint
x+y<10
slope=-1/1=-1
yint is where x=0
y<10
yint is at y=10
since it is equal, it is solid line
to tell if it is above then sub (0,0) and see if true
0≥200
false
shade on side that doesn't have (0,0), shade above line
x+y<10 doesn't have equal under so it is dashed
test (0,0)
0<10
true, it is shaded below
test point (4,5)
20(4)+25(5)≥200
80+125≥200
225≥200
true
4+5<10
9<10
true
so the ones that are true are
The line x + y < 10 has a negative slope and a positive y-intercept.
The line representing 20x + 25y ≥ 200 is solid and the graph is shaded above the line.
The overlapping region contains the point (4, 5).
Answer:
y = 0
Step-by-step explanation:
Given
f(x) = 4x² +x⁵ +10x³ +5x+8x⁴
Required
Determine the y intercept
The y intercept of a function is a point where x = 0
So, we have to substitute 0 for x in the above function
f(x) = 4x² +x⁵ +10x³ +5x+8x⁴ becomes
f(0) = 4(0)² +(0)⁵ +10(0)³ +5(0)+8(0)⁴
f(0) = 4 * 0 + 0 + 10 * 0 + 5 * 0 + 8 * 0
f(0) = 0 + 0 + 0 + 0 + 0
f(0) = 0
Substitute y for f(0)
y = 0
Hence, the y intercept is 0
Answer:
A) f(-3) = g(-4)
Step-by-step explanation: hope it helps
