Answer:
An equation of the line with the given information with
m = 4 and point A(-1, -5) is:
Step-by-step explanation:
As the equation of a line in point-slope form is given by:
where m is the slope.
Given:
Substituting the values in the equation of a line in point-slope form
subtract 5 from both the sides
Therefore, an equation of the line with the given information
with m = 4 and point A(-1, -5) is:
Answer:
p(x) = 0.85x
t(x) = 1.065x
(t o p)(x) = 0.9x
$2700
Step-by-step explanation:
If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be
where x is the marked price.
Now, the function that gives the total cost with sales tax will be given by
where x is the discounted price.
Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by
(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)
where x is the marked price.
If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),
(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)
Answer:
Step-by-step explanation:
<em>The </em><em>Remainder Theorem</em><em> states that when you divide a polynomial by a linear factor
, where
is a constant, the remainder is
evaluated at
</em>
<em>Moreover, according to the </em><em>Factor Theorem</em><em>, an extension of the Remainder Theorem, if the remainder of the function is </em><em>0</em><em> when evaluated at
, then
is said to be a factor of the polynomial
</em>
Given the 2 theorems above, it follows that if is a factor of
, then the remainder is equal to 0 when
is evaluated at
Which means
Third answer choice is correct.
