Answer:
x=32
Step-by-step explanation:
sum of interior angles of a triangle = 180
add up all angles and equate to 180
(4x-13)+(x+18)+15=180
5x=160
x=160/5=32
x+18 = 32+18 = 50
4x-13 = 4x32-13 = 128-13 = 115
add up all to check whether ans = 180; 15+50+115=180
Answer:
Step-by-step explanation:
1 Simplify 19-7 to 12.
12^2−8×3+4×3−5
2 Simplify 12^2 to 144
144−8×3+4×3−5
3 Simplify 8×3 to 24.
144−24+4×3−5
4 Simplify 4×3 to 12.
144−24+12−5
5 Simplify 144-24 to 120.
120+12-5
6 Simplify 120+12 to 132.
132-5
7 Simplify.
127
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
Remember that the denominator cannot be equal to zero
so
The value of x cannot be equal to x=-2
<em>Simplify the numerator</em>
----> by difference of squares
substitute
simplify
The domain is all real numbers except the value of x=-2
The y-intercept is the point (0,-6) ---> value of y when the value of x is equal to zero)
The x-intercept is the point (2,0) ---> value of x when the value of y is equal to zero)
therefore
The graph in the attached figure
Answer:
Area of of the doghouse which is in the shape of right trapezoid is 66.5 square feet.
Step-by-step explanation:
Answer:
The answer is below⬇️⬇️
Step-by-step explanation:
f(x) = 3x+4
g(x) = 2x
h(x) = x²+x-2
g(hx) = 2(x²+x-2)
= 2x²+2x-4
f(g(hx))=3(2x²+2x-4)+4
=6x²+6x-12+4
=6x²+6x-8
g(f(g(hx)))=2(6x²+6x-8)
=12x²+12x-16
f(g(f(g(hx))))=3(12x²+12x-16)+4
=36x²+36x-48+4
=36x²+36x-44
h(f(g(f(g(hx)))))=(36x²+36x-44)²+36x²+36x-44-2
=1296x⁴+2592x³-1872x²-3168x+1936+36x²+36x-46
=1296x⁴+2592x³-1836x²-3132x+1890
f(h(f(g(f(g(hx))))))=3(1296x⁴+2592x³-1836x²-3132x+1890)+4
=3888x⁴+7776x³-5508x²-9396x+5674
h(f(h(f(g(f(g(hx)))))))=(3888x⁴+7776x³-5508x²-9396x+5674)²+3888x⁴+7776x³-5508x²-9396x+5674-2
=15116544x⁸+60466176x⁷+17635968x⁶-158723712x⁵-71663616x⁴+657591048x³-255531048x²-106635204x+32194276
