Answer:
Step-by-step explanation:
Given
Ferret:
Labrador Retriever
Required
Determine the slope
Represent the given as x or y
Taking the weight as explanatory variable;
We have:
x = 2.1; y = 3.4
x = 7.5; y = 70
Slope is calculated as:
<em>Hence, the slope is 12.33</em>
Answer:
5(P - 1.00) + 3(P - 0.75)
Step-by-step explanation:
Cost of a package in store A = $P
Discount offered at store A = $1.00
Price paid per package at store A = Cost of a package in store A - Discount offered at store A
= P - 1.00
Cost of a package in store B = $P
Discount offered at store B = $0.75
Price paid per package at store B = Cost of a package in store B - Discount offered at store B
= P - 0.75
Total cost of 5 packages at store A and 3 packages at store B = 5(P - 1.00) + 3(P - 0.75)
Answer:
(-∞, ∞)
Step-by-step explanation:
Given,
Then (fºg)(x) would be ,
Since this is a polynomial, we know domain of a polynomial is all real number.
Therefore the domain of this (fºg)(x) is (-∞, ∞).
<span><span>Solve <span>x5 + 3x4 – 23x3 – 51x2 + 94x + 120 </span></span>><span><span> 0</span>. </span></span><span>First, I factor to find the zeroes:<span><span>x5 + 3x4 – 23x3 – 51x2 + 94x + 120</span><span>= (x + 5)(x + 3)(x + 1)(x – 2)(x – 4) = 0</span></span><span>...so </span><span>x = –5, –3, –1, 2,</span><span> and </span>4<span> are the zeroes of this polynomial. (Review how to </span>solve polynomials, if you're not sure how to get this solution.)<span>To solve by the Test-Point Method, I would pick a sample point in each interval, the intervals being </span>(negative infinity, –5)<span>, </span>(–5, –3)<span>, </span>(–3, –1)<span>, </span>(–1, 2)<span>, </span>(2, 4)<span>, and </span>(4, positive infinity). As you can see, if your polynomial or rational function has many factors, the Test-Point Method can become quite time-consuming.<span>To solve by the Factor Method, I would solve each factor for its positivity: </span><span>x + 5 > 0</span><span> for </span><span>x > –5</span>;<span>x + 3 > 0</span><span> for </span><span>x > –3</span><span>; </span><span>x + 1 > 0</span><span> for </span><span>x > –1</span><span>; </span><span>x – 2 > 0</span><span> for </span><span>x > 2</span><span>; and </span><span>x – 4 > 0</span><span> for </span><span>x > 4</span>. Then I draw the grid:...and fill it in:...and solve:<span>Then the solution (remembering to include the endpoints, because this is an "or equal to" inequality) is the set of </span>x-values in the intervals<span> [–5, –3]<span>, </span>[–1, 2]<span>, and </span>[4, positive infinity]</span>. </span>
As you can see, if your polynomial or rational function has many factors, the Factor Method can be much faster.
<span>
</span>
Answer:
9-4+(5x3)
Step-by-step explanation:
9-4+15
24-4
20
