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4 years ago

The product of a number and 1 is less than the number is 90. find the number.

1 answer:

6 0

90 = -9×-10 = 10×9

The number could be either -9 or +10.

_____
You can solve this based only on your knowledge of the factors of 90. If you like, you can write an equation ...
x(x-1) = 90
x² - x - 90 = 0
Factoring this has you seeking factors of 90 that differ by 1, the same as the original problem does. Of course, you can solve this by other means, including the quadratic formula or completing the square or graphing.

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See image for question.

kotegsom [21]

Answer:

(a)

<u>Sample space:</u>

1*1, 1*2, 1*3, 1*4,
2*1, 2*2, 2*3, 2*4,
3*1, 3*2, 3*3, 3*4,
4*1, 4*2, 4*3, 4*4

Total 16 outcomes

(b)

(i) P(even) = 12/16 = 3/4
(ii) P(3x) = 7/16
(iii) P(perfect square) = 4/16 = 1/4

(a) <u>Sample space:</u>

1T, 1H, 2T, 2H, 3T, 3H, 4T, 4H

Total 8 outcomes

(b)

(i) 1T, 3T

P(T and odd) = 2/8 = 1/4

(ii) 1H, 4H

P(H and square) = 2/8 = 1/4

(iii) 1H, 2H, 3H, 4H

P(H) = 4/8 = 1/2

6 0

3 years ago

Which is an advantage of using a checking account? You can pay only in cash, which can help you avoid splurging. You can pay by

Yuki888 [10]

You can pay in check

8 0

3 years ago

Read 2 more answers

What is that product of 2x + y and 5x -y + 3

poizon [28]

Answer:

10x² + 6x + 3xy + 3y - y²

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, as shown

(2x + y)(5x - y + 3)

= 2x(5x - y + 3) + y(5x - y + 3) ← distributing

= 10x² - 2xy + 6x + 5xy - y² + 3y ( collect like terms )

= 10x² + 6x + 3xy + 3y - y²

7 0

3 years ago

Read 2 more answers

What are the zeros of f(x)=x^2-10+25

BartSMP [9]

Answer:
-5

Explanation:
Because it’s right

7 0

3 years ago

Square root of 192 simplified

Sonja [21]

You must factoring the number 192, you will get 192=2^6*3, so you have square root(2^6*3)=2^(6/2)*root(3) applying enhancing property.
Solve the exponent and you get =2^3*root(3)= 8*root(3)

8 0

3 years ago