The value square root of 53 of lies between which two consecutive integers?
1 answer:
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Answer:
(5, 3 ) and (- , - 10 )
Step-by-step explanation:
Given the 2 equations
2x - y = 7 → (1)
xy = 15 → (2)
Rearrange (1) expressing y in terms of x , that is
y = 2x - 7 → (3)
Substitute y = 2x - 7 into (2)
x(2x - 7) = 15
2x² - 7x = 15 ( subtract 15 from both sides )
2x² - 7x - 15 = 0 ← in standard form
(x - 5)(2x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
Substitute these values into (3) for corresponding values of y
x = 5 : y = 2(5) - 7 = 10 - 7 = 3 ⇒ (5, 3 )
x = - : y = 2(-
) - 7 = - 3 - 7 = - 10 ⇒ (-
, - 10 )
Part 1
1) The positive integers -----------> <span>D.) The natural numbers
</span>2.) An ordering of quantities -----------> <span>B.) A sequence
</span>3.) 2, 4, 8, 16, . . ., 256 -----------> <span>A.) An example of a finite sequence
</span>4.) 1, 3, 5, 7, . . . -----------> <span>E.) An example of an infinite sequence
</span>5.) No first term is available -----------> C.) The reason the numbers . . . -4, -2, 0, 2, 4, . . . are not a sequence
Part 2
The answers is A.
Part 3
The answers is B.
Part 4
The pattern in this sequence is:
Let's list first six terms:
This is a infinite sequence. The patern is obvious and we could find any term within the sequence.
1) The positive integers -----------> <span>D.) The natural numbers
</span>2.) An ordering of quantities -----------> <span>B.) A sequence
</span>3.) 2, 4, 8, 16, . . ., 256 -----------> <span>A.) An example of a finite sequence
</span>4.) 1, 3, 5, 7, . . . -----------> <span>E.) An example of an infinite sequence
</span>5.) No first term is available -----------> C.) The reason the numbers . . . -4, -2, 0, 2, 4, . . . are not a sequence
Part 2
The answers is A.
Part 3
The answers is B.
Part 4
The pattern in this sequence is:
Let's list first six terms:
This is a infinite sequence. The patern is obvious and we could find any term within the sequence.
