Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in
1 answer:
Compound inequality combines multiple single inequalities.
The solution and interpretation of the inequality is:
<em /><em> and </em>
<em>. Ryan needs to consume more than 50 grams of carbohydrates, but less than 150 grams of carbohydrates.</em>
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We have:
and
Solve for x in both inequalities
Divide both sides by 2
Rewrite as:
Also, we have:
Divide by 2
So, the solutions to the inequalities are:
and
This means that Ryan needs to consume more than 50 but less than 150 grams of carbohydrates.
Hence, (a) is correct
Read more about compound inequalities at:
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Here is the table with the filled in answers
The polynomial with 6 roots is the one of degree 6, so the correct option is:
<h3>Which polynomial function has 6 roots?</h3>
You need to remember that if p(x) is a polynomial of degree N, then it has N roots (such that some of these N roots may be equal or not).
Then we just need to find the polynomial of degree 6. (Remember that the degree represents the maximum exponent of the polynomial).
In this case, the only one of degree 6 is:
Which is the last option.
If you want to learn more about polynomials, you can read:
#SPJ4
We want to multiply the monomial by the monomial
.
Remember that to multiply monomials we need to use the laws of exponents; in this case, the law for multiplying powers with the same base. The rule says that, when you multiply powers of the same base, you just need to add the exponents: ,
. Also, is worth pointing out that the exponent of a variable with no exponent is 1:
.
Remember that we also need to multiply their coefficients , which are the numbers that multiply the variables; again, variables with no numbers have a coefficient of 1, so . Multiply coefficients is easy, you just need to multiply them as you usually do with everyday numbers.
Let's apply all of that to our multiplication:
We can conclude that 2x times x squared is 2x cubed.