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jeka57 [31]
2 years ago
9

Factor the polynomial. 216x^3-64

Mathematics
1 answer:
liberstina [14]2 years ago
8 0
(6x-4) (36x^2 +24x +16)
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3⋅ 3/5 (3/5 is a fraction)
LUCKY_DIMON [66]
Well its a simplest form of zero and 6 tenths and if u divide it by 2 youll get 3/5 as a fraction
6 0
3 years ago
Philip made a total of 9 bracelets and necklaces from 120 inches of cord. He used 8 inches of cord for each bracelet and 20 inch
Viktor [21]

Answer:

So Philip made 5 bracelets and 4 necklaces.

Step-by-step explanation:

Let x = number of bracelets and y = number of necklaces.

Since we have a total of 9 bracelets and necklaces,

x + y = 9 (1)

Also, we have 8 inches of cord for each bracelet and 20 inches of cord for each necklace, then the total length for the bracelet is 8x and that for the necklace is 20y.

So, the total length for both is 8x + 20y. Since the total length of cord used is 120 inches,

8x + 20y = 120 (2)

Simplifying it we have

2x + 5y = 30  (3).

Writing equations (1) and (3) in matrix form, we have

\left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}9\\30\end{array}\right]

Using Cramer's rule to solve for x and y,

x = det \left[\begin{array}{ccc}9&1\\30&5\end{array}\right] /det \left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \\

x = (9 × 5 - 30 × 1) ÷ (1 × 5 - 1 × 2)

x = (45 - 30) ÷ (5 - 2)

x = 15 ÷ 3

x = 5

y = det \left[\begin{array}{ccc}1&9\\2&30\end{array}\right] /det \left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \\

y = (30 × 1 - 9 × 2) ÷ (1 × 5 - 1 × 2)

y = (30 - 18) ÷ (5 - 2)

y = 12 ÷ 3

y = 4

So Philip made 5 bracelets and 4 necklaces.

3 0
3 years ago
Sven shoots a cannon ball out of a cannon and the path of the ball is modeled in the graph. After 8 seconds how high is the cann
DedPeter [7]

Answer:

20 feet

Step-by-step explanation:

7 0
3 years ago
How do i write 14 ten thousands and 12 thousands in standard<br> form
Burka [1]
In standard form:
answer- 14,000 and 12,000

Example
←LEFT 12,000
                 ↑
   comma(THOUSANDS PLACE)

ten thosands is the second number after the comma(thousands) to the left
8 0
3 years ago
Show your work to get full credit. Solve the following problem with any method you want.
Alinara [238K]

Answer:0.48

Step-by-step explanation:

4 0
2 years ago
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