3(x + 2) + 4(x - 5) = 10
Use the distributive property:
3x + 6 + 4x - 20 = 10
Combine like terms:
7x -14 = 10
Add 14 to both sides:
7x = 24
Divide both sides by 7:
x = 24/7
Answer:
f(1/4) = 1/12
Step-by-step explanation:
f(x) = 4x^2 - 2/3 x is a function. The name of the function is simply the letter f. It tells you a rule. f(x) is the same as y.
It is the same as having
y = 4x^2 - 2/3 x
For each value of x you are given, you can calculate a corresponding value of y. Instead of calling y, y, we call y "f(x)" which is a way of showing that this relation is a function.
If you were given
y = 4x^2 - 2/3 x and were asked to find the value of y when x = 1/4, what would you do?
You would substitute 1/4 for x in the expression 4x^2 - 2/3 x, and you'd find the value of y.
Being asked to find f(1/4) for function f(x) = 4x^2 - 2/3 x means exactly the same. It means what is the value of the function when x = 1/4? What is the y value corresponding to an x value of 1/4?
Let's calculate it:
f(x) = 4x^2 - 2/3 x
To show we are evaluating the function at an x value of 1/4, we use the notation f(1/4). f(1/4) means find the value of y for function f when x = 1/4. We replace x with 1/4 and do the math.
f(1/4) = 4(1/4)^2 - (2/3)(1/4)
f(1/4) = 4(1/16) - 2/12
f(1/4) = 4/16 - 2/12
f(1/4) = 1/4 - 2/12
f(1/4) = 3/12 - 2/12
f(1/4) = 1/12
Answer:
a : b = 4 : 3
Step-by-step explanation:
(mark as brainlist answer)
According to the given condition is the question :
Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b
⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)
⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)
⇒ 0.15a + 0.12b = 0.12a + 0.16b
⇒ 0.03a = 0.04b
⇒ a/b = 4/3
⇒ a : b = 4 : 3
Answer:
The cost of a gym membership would be 109
Step-by-step explanation:
2009-1995=14
thats how many years apart from each other
so its been 14 years $6 for each year so 14x6=84
so the regular price was $25 and went up 84 dollars last 14 years.
25+84=109 so the price of gym membership would be $109
