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fomenos
3 years ago
8

The difference of a number a and two is less than or equal to 16​

Mathematics
1 answer:
DENIUS [597]3 years ago
5 0

Answer:

Step-by-step explanation:

a-2≤16

a≤16+2

a≤18

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( x, y) satisfies both equations y+18=x(x-3) and x=y+6
antoniya [11.8K]

Answer:

(- 2, - 8 ) , (6, 0 )

Step-by-step explanation:

y + 18 = x(x - 3) ← distribute

y + 18 = x² - 3x → (1)

x = y + 6 → (2)

Substitute x = y + 6  into (1)

y + 18 =(y + 6)² - 3(y + 6) ← expand parenthesis using FOIL

y + 18 = y² + 12y + 36 - 3y - 18

y + 18 = y² + 9y + 18 ( subtract y + 18 from both sides )

0 = y² + 8y = y(y + 8)

Equate each factor to zero and solve for y

y = 0

y + 8 = 0 ⇒ y = - 8

Substitute these values into (2) and evaluate for x

y = 0 : x = 0 + 6 = 6 ⇒ (6, 0 )

y = - 8 : x = - 8 + 6 = - 2 ⇒ (- 2, - 8 )

3 0
3 years ago
if f(x) = ax^6 + bx^4 + cx^3 where a,b, and c are integers, how many distinct rational zeros could f(x) have
natita [175]

You can rewrite your function as

f(x) = x^3(ax^3+bx+c)

This implies that

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Now, we have x^3=0\iff x=0, so it counts as a solution.

On the other hand, depending on the coefficient a, b and c, the cubic equation

ax^2+bx+c=0

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So, we have the solution x=0, and then one or three solutions coming from the cubic part. The equation as a whole thus have either two or four solutions, depending on the coefficients.

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4 years ago
Apple juice and cranberry juice have been mixed in the ratio 4:5. If the price of apple juice is 45 cents per pint and the price
Lunna [17]

Answer:

0.24

Step-by-step explanation:

5 0
3 years ago
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