“Puppies are cute animals.” 1. Write the quote as a conditional statement.
1 answer:
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Answer:
(See explanation for further details)
Step-by-step explanation:
a) Let consider the polynomial . The polynomial is in standards when has the form
, where
is the order of the polynomial. The example has the following information:
,
,
,
,
.
b) The closure property means that polynomials must be closed with respect to addition and multiplication, which is demonstrated hereafter:
Closure with respect to addition:
Let consider polynomials and
such that:
and
, where
Hence, polynomials are closed with respect to addition.
Closure with respect to multiplication:
Let be a polynomial such that:
And an scalar. If the polynomial is multiplied by the scalar number, then:
Lastly, the following expression is constructed by distributive property:
Hence, polynomials are closed with respect to multiplication.
Answer:
You may or may not need to include the units.
A = 18x - 18
P = 6x + 6
Graph is attached below. (2, 18)
Step-by-step explanation:
Substitute the information we need, "l" and "w", into the formulas.
l is for length, 6cm.
w is for width, (3x - 3)cm.
Use the formula for area of a rectangle.
A = lw
A = (6)(3x-3)cm²
A = (18x - 18)cm² or 18x - 18
Use the formula for perimeter of a rectangle.
P = 2(l + w)
P = 2(6 + (3x - 3))cm
P = 2(3x + 3)cm
P = (6x + 6)cm or 6x + 6
Linear equations are written in the form y = mx + b, so we do not need to factor or further simplify the formulas.
To graph, first turn the "m" value into a fraction form.
8 -> 8/1
6 -> 6/1
You need two points to graph each line.
For each equation, the first point is on the y-axis at the "b" value. Then use the "m" in the equation to count the number of units up (numerator) and to the right (denominator).
The solution is (2,18)
