The system of equations for the ages of Wendi and Zaviel can be obtained as x = y + 6 and x + y = 30 respectively.
A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
Suppose the age of Wendi and Zaviel be x and y respectively.
Then, the equation for their age can be written as,
x = y + 6
And, the equation for the sum of ages is given as,
x + y = 30
Hence, the equations that represent the given case are x = y + 6 and x + y = 30 respectively.
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B) f(x) = 8x3 − 24x2 − 48x + 64
C) f(x) = x3 + 3x2 − 6x − 8
D) f(x) = 8x3 + 24x2 − 48x − 64
Answer:
See image
Step-by-step explanation:
Check out the y-intercepts for these equations and look at the y-intercept on the graph. The y-intercept is the point where x=0. So it's mental math you can do in a couple of seconds per equation. If x=0 all the x terms are zero and the y-intercept is just the constant at the end if the equation. I put a note on the graph and the answer choices. The constant is the y-intercept. Only one choice matches. See images.
Answer:
≈ 201
Step-by-step explanation:
V= πr²h/3
V= 3.14*4²*12/3= 200.96 ≈ 201
The volume of the cone is 201.06 units³.
The volume of a cone is given by the formula:
Volume = (1/3) * π * r² * h
where r is the radius of the base and h is the height of the cone.
In this case, r = 4 units and h = 12 units. Using 3.14 for π, we can calculate the volume of the cone as follows:
Volume = (1/3) * 3.14 * 4² * 12
Volume = 201.06 units³
Therefore, the volume of the cone is 201.06 units³.
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Step-by-step explanation:
higher
Answer:
A library contains only paperback and hardback books. If the ratio of paperback books to the total number of books is 3 to 5, the true statement is:
The ratio of paperback books to hardback books is 3 to 2.
Step-by-step explanation:
The number of books in the library = 5
The number of paperback books in the library = 3
Therefore, the number of hardback books in the library = 2 (5 - 3)
Then, the relationship between the paperback books and the hardback books in the library can be expressed as a ratio of 3:2. This still gives the sum of the ratios as 5, which is the total number of books in the library, including paperback and hardback books.
The correct statement is that the ratio of paperback to hardback books is 3:2. The ratios provided do not indicate the exact quantity of books in the library.
The ratio of paperbacks to the total number of books is 3:5. This means that for every 5 books, 3 are paperbacks and therefore, the remaining 2 must be hardbacks. Hence the ratio of paperback to hardback books is actually 3:2, not 2:3.
Note that the ratios given do not indicate the exact number of books. Therefore, we cannot confidently say that there are exactly 2 paperback books or exactly 8 hardback books in the library.
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