Answer:
- A relationship modeled by the function f(x) = 4x³ - 72x² + 320x is the volume of a right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.
Explanation:
To find a relationship modeled by the given function it is recommendable to factor it.
The function is:
The first step to factor it is to extract common factor 4x:
The second step is to factor the quadratic trinomial.
That is made by writting it as a product of two binomials, for which the two constant terms add up - 18 and their product is 80. Those terms are -10 and - 8; so the two factors are (x - 10) and (x - 8), and the factored form is:
Then, a relationship modeled by that polynomial is the volume of right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.
- x is the desired (unknown) length
- 4x is 4 times the desired length
- x - 10 is 10 less than the desired length
- x - 8 is 8 less than the desired length
Thus, the volume of the prism is the product of the three factors:
Answer: The value of x is 3.5
Explanation:
<u>Equation</u>:
y = 2x - 7
When the equation's Line intersects the x-axis, the value of y shall be always 0
<u>Insert y = 0, to find x intercept</u>
⇒ 0 = 2x - 7
⇒ 2x - 7 = 0
⇒ 2x = 7
⇒ x = 3.5
So coordinates: (x, y) → (3.5, 0)
Answer: 9 is A
Step-by-step explanation:
area of triangle= 1/2 bh
1/2 of 8 is 4
4x10= 40
40x3= 120
1/2 of 8=4
4x6.9= 27.6
120+27.6=147.6 sq. m
Answer:
12/5 or 2⅖
Step-by-step explanation:
2x/3 = 8/5
2x = 3 × 8/5
2x = 24/5
x = 24/5 ÷ 2
x = 12/5
Or 2⅖
What units are the numbers? Assume they are in millimeters (i am just assuming).
<span>Then the IQR is 7 millimeters and the range is 12 millimeters. </span>
<span>If they haven't given any units in your questions, you cannot write the answer using units.
i hope this answers your question</span>