Answer:
B. Angle M= 113° and Angle N = 61°
Step-by-step explanation:
Angle K + Angle M =180°
67° + Angle M=180°
Angle M = 113°
Angle L + Angle N =180°
119° + Angle N =180°
Angle N = 61°
Answer:
6
Step-by-step explanation:
x(0.25) = 1.5
Because the scale factor is 0.25, or 1/4 we can reverse that to get 4/1. Then simply multiply 1.5 by 4!
Answer:
f(x) = 86(1.04)x; grows approximately at a rate of 0.4% daily
Step-by-step explanation:
The base of the exponential function is 1.29 for 7 days, as in
f(x) = 86*(1.29)^x
The new rate for days can be calculated by dividing x by 7 (where x remains the number of weeks), namely
f(x) = 86*1.29^(x/7)
Using the law of exponents, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x
we simplify by putting b=1.29, a=7 to get
f(x) = 86*(1.29^(1/7))^x
f(x) = 86*(1.037)^x since 1.29^(1/7) evaluates to 1.037
Rounding 1.037 to 1.04 we get a (VERY) approximate function
Let's call the number of standard boxes sold x and the number of deluxe boxes sold y.
The kg of peaches sold will be 1 for each standard box and 2 for each deluxe, so we know:
x + 2y = 12
The kg of apples sold will be 2 for each standard box and 1.5 for each deluxe, so:
2x + 1.5y = 14. Now we solve the two equations as a system:
From the 1st one:
x = 12 - 2y
We substitute in the second one:
2(12 - 2y) +1.5y = 14;
24 - 4y +1.5y = 14;
-2.5y = -10;
y = 10/2.5 = 4;
Now we substitute in the first equation:
x = 12 - 2y = 12 - 2*4 = 12 - 8 = 4.
So the shop sold 4 standard boxes (x) and 4 deluxe boxes (y).
Answer:
(h o k)(3) = 3
(k o h)(-4b) = -4b
Step-by-step explanation:
If f(x) and g(x) are inverses, then (f o g)(x) = (g o f)(x) = x
(h o k)(3) = 3
(k o h)(-4b) = -4b
