Answer:
C
Step-by-step explanation:
You can start by "filling up" all of the bigger boxes. 75*14=1050 cupcakes, which when subtracted from the total initial amount leaves 400 cupcakes for the smaller boxes. The smallest multiple of 13 smaller than 400 is 390, which is 10 smaller than 400. Therefore, there will be 10 cupcakes left over, or answer choice C. Hope this helps!
To simplify the function, we need to know some basic identities involving exponents.
1. b^(ax)=(b^x)^a=(b^a)^x
2. b^(x/d) = (b^x)^(1/d) = ((b^(1/d)^x)
Now simplify f(x), where
f(x)=(1/3)*(81)^(3*x/4)
=(1/3)(3^4)^(3*x/4) [ 81=3^4 ]
=(1/3)(3^(4*3*x/4) [ rule 1 above ]
=(1/3) (3^(3*x)
=(1/3)(3^(3x)) [ or (1/3)(27^x), by rule 1 ]
(A) Initial value is the value of the function when x=0, i.e.
initial value
= f(0)
=(1/3)(3^(3x))
=(1/3)(3^(3*0))
=(1/3)(3^0)
=(1/3)(1)
=1/3
(B) the simplified base base is 3 (or 27 if the other form is used)
(C) The domain for an exponential function is all real values ( - ∞ , + ∞ ).
(D) The range of an exponential function with a positive coefficient and without vertical shift is ( 0, + ∞ ).
Answer: x=7
Step-by-step explanation:
Step 1: Subtract 17x from both sides.
13x+15−17x=17x−13−17x
−4x+15=−13
Step 2: Subtract 15 from both sides.
−4x+15−15=−13−15
−4x=−28
Step 3: Divide both sides by -4.
−4x/−4 =−28/−4
x=7
Answer:
∠E = 146°
Step-by-step explanation:
- an isosceles triangle has both two equal sides and two equal angles
- the sum of the interior angles of a triangle is 180°
- the measure of third angle = the sum of the interior angles - the sum of two angles
E = 180 - (71 + 71) = 146
∠E = 146°
