Answer:
13.8
Step-by-step explanation:
the required constant can be calculated as:

according to the formula above:

(a) Without solving the equation we can't determine whether its true or false.
(b) If x = 3
4x + 1 = 2x + 5
4(3) + 1 = 2(3) + 5
12 + 1 = 15 + 5
13 = 20
No, if x = 3, the equation will not be true.
(c) 4x + 1 = 2x + 5
4x - 2x = 5 - 1
2x = 4
x = 4/2
x = 2
This shows that x = 2 makes the equation true.
By hit and trial of each option and also by graph, solutions to f(x) = 3ˣ and g(x)=2x-1 will be 0 and 1.
given functions are,

let us put x=0
f(0) = 1
g(0) = 1
f(0)=g(0)=1
so 0 will be a solution.
let us put x=1
f(1)= 3
g(1) = 3
f(1)=g(1)=3
so 1 will be also a solution
let us put x=2
f(2) = 9
g(2) = 5
f(2)≠g(2)
so 2 will not be solution.
x=-2 and x=-1 clearly will not be solution because,
g(-2) = negative value but f(x) cannot be negative, being an exponential function.
<h3>
what is an exponential function?</h3>
Any function in form f(x)= pˣ, where p≥1, is called an exponential function.
therefore, solutions to f(x) = g(x) will be 0 and 1.
to get more about exponential function refer to:
brainly.com/question/2456547
Answer:
1 5/9 OR 14/9
Step-by-step explanation:
First we need to find out what the question is asking. How much sugar will she need if she wants to make 2 1/3 batches?
Next, we must see if we need to divide, subtract, multiply, or add. We need to divide.
2 1/3 divided by 1 1/2
Convert mixed numbers to improper fractions: 2 1/3=7/3 1 1/3=3/2
Apply the fraction rule a/b/c/d=a*d/b*c: 7*2/3*3
14/9 OR 1 5/9
Answer:
Step-by-step explanation:
morning mean: 14 mins
afternoon: 14 mins
both morning and afternoon have the same mean time