Answer:
In this problem, I can not tell what is V, so I will answer it in a general way.
A polynomial is something of the form:
a*x^5 + b*x^4 + c*x^3 + d*x^2 + e*x + f
a, b, c, d, e, and f are real numbers and constant.
Where the degree of the polynomial is equal to the greatest power (in this case 5).
You write:
4x^2 + 3Vx + 5
Now, if V is a real number, then we have that this is a polynomial of degree 2.
Because we can write this as:
4*x^2 + (3V)*x + 5
So the answer is true.
Now, if V is a variable or an operation, the answer will be false.
<h3>The expression for the length of fabric used for each doll is
</h3>
<em><u>Solution:</u></em>
Given that,
Margaret has 16 yards of fabric
she is making dresses for z doll
Therefore,
Total length of fabric = 16 yards
Number of dresses = z dolls
Therefore,
Thus, the expression for the length of fabric used for each doll is
1/2r -3= 3 (4-3/2r) is to be solved for r.
I'll begin by making the assumptions that by 1/2r you actually meant (1/2)r and that by 3/2r you actually meant (3/2)r. When in doubt, please use parentheses to make your meaning clear.
Thus, 1/2r -3= 3 (4-3/2r) becomes (1/2)r -3= 3 (4-(3/2)r ) .
Simplify this by multiplying all 3 terms by 2. Doing this will eliminate the fractions:
r -6 = 3 (4*2-(3)r ) or r - 6 = 24 - 9r
Now expand the right side, using the distributive property of
r - 3 = 24 - 9r
Regrouping so as to combine like terms:
10r = 30
Solving for r: r = 30/10 = 3
The value of r that satisfies this equation is 3
The equivalent expression for the given expression (w+9)+3 using associative property is w + 12
<u>Solution:</u>
Given that, expression is ( w + 9 ) + 3
We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3
The associative property states that you can add or multiply regardless of how the numbers are grouped
By above definition, we get
(a + b) + c = a + (b + c)
So, now let us apply the above property to the given expression,
Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12
Hence, the equivalent expression for the given expression is w + 12
