9514 1404 393
Answer:
see attached
Step-by-step explanation:
There are several possible ways to describe the "type" of a polynomial. Here, since there is a separate column for "degree", we assume that "type" refers to the number of terms.
Polynomials with 1, 2, or 3 terms are called, respectively, <em>monomial</em>, <em>binomial</em>, and <em>trinomial</em>. The first two expressions listed have 1 term only, so are monomials. The last expression has 3 terms, so is a trinomial.
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The coefficients are the constant multiplier of the term. Some say a "constant", such as the -8 in the last expression, is not considered a coefficient, because there are no variables that it is multiplying. Here, we have listed it among the coefficients in that expression.
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The degree of a term is the sum of the degrees of the variables in the term. For terms with only one variable, it is the exponent of that variable. For terms such as the second expression, the degree is the sum of the exponents: 3+4 = 7. The degree of a polynomial with more than one term is the highest degree of all the terms.
Answer: 
Step-by-step explanation:
To find the slope of the line , we will write the equation in the form:
where:
slope
y - intercept.
To write 
in this form , we will make y the subject of the formula.
Subtract 4x from both sides
Divide through by 2
Therefore :
Answer:
<h2>y=0.35x+140</h2>
Step-by-step explanation:
Step one:
given data
The rental charge is $140 per day
additional charges per mile driven = $0.35 per mile
Step two:
Required
The expression for the total charges
let the number of miles be x, and the total charges be y
the expression for the total charges is
y=0.35x+140
the maximum height is the y-value of the vertex.
h(x) = -2x² + 20x + 48
<em> a=-2, b=20, c=48</em>
h(5) = -2(5)² + 20(5) + 48
= -50 + 100 + 48
= 50 + 48
= 98
Answer: 98 meters
First, make up some variables to represent the number of Girls and Boys in the choir.
B = number of boys
G = number of girls
You know that there are 4 times as many girls in the choir as boys. Therefore, the equation you can write is:
If you cross-multiply, then you get the simplified equation:
G = 4B
Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.
Now, we know that the total class size is 60. So girls plus boys equals 60:
G+B = 60
To solve the equation, replace the G in this equation with the replacement you found before, 4B.
G + B = 60 -->
4B + B = 60 -->
5B = 60 -->
B = 12
However, you are trying to find the number of girls, so plug the answer back into your equation.
G + B = 60 -->
G + 12 = 60 -->
G + 12 -12 = 60 - 12 -->
G = 48
The number of girls you have is 48.
