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2 years ago

Prove the divisibility of the following numbers: 8^10−8^9−8^8 by 55

Mathematics

1 answer:

EleoNora [17]2 years ago

7 0

Explanation:

8^10 -8^9 -8^8 = 8^8·(8^2 -8 -1) = 8^8·(64 -8 -1) = 8^8·55

Any multiple of 55 is divisible by 55.

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Ivenika [448]

Answer:

y = 3x - 9

Step-by-step explanation:

To write a line with a slope of 3, set the coefficient of x to be 3:

y = 3x

But notice, if we evaluate x when it is equal to 2, we get 2*3=6, but we want it to be -3. Therefore, we just subtract 9 from the equation:

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2 years ago

The sum of two numbers is 57 The larger number is 15 more than the smaller number. What are the numbers?

mixas84 [53]

X+y=57
y=x+15
x+x+15=57
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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Factor the following expression completely. 16x^5-x^3 A. B. C. D.

Ket [755]

Answer:

x^3(2x+1)(2x-1)

Step-by-step explanation:

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2 years ago

Read 2 more answers

A quadratic equation has a

11111nata11111 [884]

Answer:

$\boxed {\boxed {\sf 2 \ real \ solutions }}$

Step-by-step explanation:

The quadratic formula is:

${x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}$

The discriminant of a quadratic is just the expression under the square root, or $b^2-4ac$ . This can tell us the number of solutions a quadratic has.

If the discriminant is:

Positive = 2 real solutions
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Negative = 0 real solutions, but 2 imaginary solutions

Our quadratic equation has a discriminant of 5, which is positive. Therefore, it has 2 real solutions.

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2 years ago