2 years ago

If x = y then 3x = 3y gemotry prove

1 answer:

6 0

Multiplying both sides of an equation by the same number keeps the equation true. In this example, both sides are multiplied by 3, so the equation isn't changed.

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Let R1 and R2 are the remainders when the polynomials x^3 + 2x^2 − 5ax − 7 and x^3 + ax^2 − 12x + 6 are divided by x + 1 and x −

Andru [333]

Answer:

2.44

Step-by-step explanation:

Given: x³ + 2x² - 5ax - 7 and x³ + ax² - 12x + 6

Also, R1 + R2 = 6

in order to find the value of a:

Let p(x) = x³ + 2x² - 5ax - 7 and q(x) = x³ + ax² - 12x + 6

Using remainder theorem i.e if a polynomial p(x) is divisible by polynomial of form x - a then remainder is given by p(a).

Then,

R1 = p( -1 ) = (-1)³ + 2(-1)² - 5a(-1) - 7 = -1 + 2 + 5a - 7 = 5a - 6

R2 = q( 2 ) = 2³ + a(2)² - 12(2) + 6 = 8 + 4a - 24 + 6 = 4a - 10

Now,

R1 + R2 = 6

5a - 6 + 4a - 10 = 6

9a = 22

a=2.44

Therefore, Value of a is 2.44

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3 years ago

A group of 14 people, of which 8 are male and 6 are female is picking a four person committee. How many ways can they pick the f

Vesna [10]

Answer:

35 ways

Step-by-step explanation:

7×6×5×4. 7×6×5×4

--------------. = --------------. = 35

1x2×3×4. 1×2×3×4

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2 years ago

6x^3+3n^2+8n+4 factor the following polynomial

Archy [21]

Answer:

x1=((2√3)/3)i

x2=-0.5

x3=-((2√3)/3)i

Step-by-step explanation:

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2 years ago

12. SALES Last month, a retailer sold 120 jar candles at $30 per candle. This month the retailer is considering putting the cand

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Answer:

1200

Step-by-step explanation:

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2 years ago

ABCD is a parallelogram.

jolli1 [7]

Answer:

Step-by-step explanation:

180-90-65 = 25

Opposite angles are same

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2 years ago