Answer:
Step-by-step explanation:
Distributive property:
a(b-c) = a*b + a*-c = ab-ac
13.- 11(s+9) = 11*s + 11+9 = 11s+99
14.- -21(x-7) = -21*x -21*-7 = -21x + 147
15.- 13(20-a) = 13*20 + 13*-a = -13a + 260
16.- -8(17+b) = -8*17 -8*b = -8b - 136
17.- (r+1.68)(-0.1) = -0.1(r+1.68) = -0.1*r - 0.1*1.68 = -0.1r - 0.168
18.- 3.25(5.02-t) = 3.25*5.02 + 3.25*-t = -3.25t + 16.315
Y = 2x³, when x = -3
<span>y = 2*(-3)³
</span>
<span>y = 2*-27
</span>
y = -54
Answer:
Step-by-step explanation:
We are given f(x) and g(x)
1. (f+g)(x)
(f+g)(x) = f(x) + g(x)
= 
= 
Domain : All real numbers as it there exists a value of (f+g)(x) f every x .
2. (f-g)(x)
(f-g)(x) = f(x)-g(x)
= 
=
Domain : All real numbers as it there exists a value of (f-g)(x) f every x .
Part 3 .
Domain : In this case we see that the function is not defined for values of x for which the denominator becomes 0 or less than zero . Hence only those values of x are defined for which
or 
Hence taking square roots on both sides and solving inequality we get.
We are supposed to assume FC and AD is straight line
let's find all the angles
you already see the right angle is 90 degrees, you got that right
striaght line is 180 degrees
90+46+EF=180
136+EF=180
minus 136 both sides
EF=44
now we got another straight line
you did get that A F=46 because it is oposite
notice: AB=BC because same angle designition
so now we use
180+46+2AB=360
2AB=134
divide 2
AB=67=BC
AC=134 degrees
CAE=134+46+44=224
ABD=180 since straight line
a. 90
b. 224
c.134
d. 180
