It looks like you have the domain confused for the range! You can think of the domain as the set of all "inputs" for a function (all of the x values which are allowed). In the given function, we have no explicit restrictions on the domain, and no situations like division by 0 or taking the square root of a negative number that would otherwise put limits on it, so our domain would simply be the set of all real numbers, R. Inequality notation doesn't really use ∞, so you could just put an R to represent the set. In set notation, we'd write
and in interval notation,
The <em>range</em>, on the other hand, is the set of all possible <em>outputs</em> of a function - here, it's the set of all values f(x) can be. In the case of quadratic equations (equations with an x² term), there will always be some minimum or maximum value limiting the range. Here, we see on the graph that the maximum value for f(x) is 3. The range of the function then includes all values less than or equal to 3. As in inequality, we can say that
,
in set notation:
(this just means "f(x) is a real number less than or equal to 3")
and in interval notation:
![(-\infty,3]](https://tex.z-dn.net/?f=%20%28-%5Cinfty%2C3%5D%20)
<span>6x7-3^2x9+4^3
= 42 - 9x9 + 64
= 42 - 81 + 64
= 25</span>
Answer: B. 3 3/4
Step-by-step explanation:
From the question, we are told that Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. Since, uses 1 1/2 teaspoon of salt for every 2 cups of sugar, 1 cup of sugar will use 1/2 of 1 1/2 teaspoon of salt. This will be:
= 1/2 × 1 1/2
= 1/2 × 3/2
= 3/4 teaspoon of salt.
We then multiply the value used for a cup of sugar by 5 since Joanna increases the recipe to use 5 cups of sugar. This will be:
= 3/4 × 5
= 15/4
= 3 3/4
Answer:
-13 
Step-by-step explanation:
To multiply fractions with both the fraction and whole number you must convert it to an improper fraction by multiplying the whole numbers by the denominators, which you would get 35 for the first fraction and -10 for the second, then you must add the numerators to that number and put the number into the numerator spot. at this point you should have 
and 
.
Now, multiply the numerators by the numerators and the denominators by the denominator and keep it aligned so the products stay in fraction form. now you should have 
.
Divide the numerator by the denominator to get the whole number, in this problem that comes out to 13. The remainder of this division becomes the new numerator which in this case would also be 13 and the denominator stays the same so now you have -13
which is the answer
Hope i helped!
A=1/2ab
Replace the variables with their value
15=1/2(3/2)b
Multiply 1/2 and 3/2
15=3/4b
Divide 3/4 on both sides
15/(3/4) is the same thing as
45/4=b
