Answer:
He has 27 cups of flour.
He has 6.75 quarts of flour.
Step-by-step explanation:
There are 4 cups in a quart.
27 divided by 4 is 6.75.
Answer: OPTION B
Step-by-step explanation:
You can observe that the exercise provides you two Linear functions.
The first Linear function is the function f(x). This is:
And the other Linear function is the function g(x):
In order to find , you need to follow these steps shown below:
<u>Step 1</u>:
You must substitute the function f(x) into the function g(x); this means that the function f(x) will be in the place of the variable "x" of the function g(x); as you can observe below:
<u>Step 2</u>:
Finally you must combine the like terms (You can notice that the like terms are 1 and 14; then you must add them). Therefore, you get that is:
To solve this problem, we must substitute in 1 for the variable x in the equation. This is because the function as written is f(x), meaning that the function is evaluated as x currently, but we want to evaluate it at 1. To do this, all we have to do is replace each variable x with a 1 and simplify.
f(x) = x^2 + 2x + 3
f(1) = (1)^2 + 2(1) + 3
To simplify, we first to compute the exponents. This is because of the order of operations, which says that we should solve parentheses first, exponents next, then multiplication/division, then addition/subtraction last.
f(1) = 1 + 2(1) + 3
Next, as outlined above, we should perform the multiplication.
f(1) = 1 + 2 + 3
Finally, we can finish solving by adding together the remaining terms.
f(1) = 6
Therefore, your answer is 6.
Hope this helps!
sin²(x) - 0.25 = 0
sin²(x) + 0.5sin(x) - 0.5sin(x) - 0.25 = 0
sin(x)[sin(x)] + sin(x)[0.5] - 0.5[sin(x)] - 0.5[0.5] = 0
sin(x)[sin(x) + 0.5] - 0.5[sin(x) + 0.5] = 0
[sin(x) - 0.5][sin(x) + 0.5] = 0
sin(x) - 0.5 = 0 or sin(x) + 0.5 = 0
sin(x) = 0.5 sin(x) = -0.5
sin⁻¹[sin(x)] = sin⁻¹(0.5) sin⁻¹[sin(x)] = sin⁻¹(-0.5)
x = 30°, ¹/₆π radians x = 210°, 1¹/₆π radians
150°, ⁵/₆π radians 330°, 1⁵/₆π radians