Answer:
see explanation
Step-by-step explanation:
given the 2 equations
y = x² - 2x - 19 → (1)
y + 4x = 5 → (2)
substitute y = x² - 2x - 19 into (2)
x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )
x² + 2x - 24 = 0 ← in standard form
(x + 6)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
substitute each value of x into (1) for corresponding y- coordinate
x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)
x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)
the solutions are (- 6, 29), (4, - 11)
Answer:
Step-by-step explanation:
Answer:
ty for the free points
Step-by-step explanation:
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The answer is $50
Assume the original cost price to be $x
Therefore ,
X - 36X/100 = $32
-> 100x - 36x = 32 x 100
-> 64x = 3200
-> x = 3200/64
-> x = 50
The difference between these temperatures for the sunset is found as 11 degrees.
<h3>What is temperature difference?</h3>
In science, the term Delta T (ΔT) refers to the temperature between two measuring points. The temperature varies according to time and/or location.
Some key features regarding the temperature difference are-
- Merus, for example, uses it to assess the effectiveness of such a heat exchanger.
- Or to evaluate the effectiveness of a heating or cooling system.
- A fourth letter of a Greek alphabet is, (Δ). Whereas is the capital letter symbol and the lower case letter.
- The sign is also used in mathematics. Describes the "difference" between any two changeable quantities. T is a value in a process that represents a difference between two observed temperatures.
Now, according to the question;
Let the initial temperature be 'T' = 4 degrees.
Let the final temperature be 't' = -7 degrees.
Therefore, the temperature difference is;
ΔT = T - t
= 4 - (-7)
= 4 + 7
ΔT = 11
Therefore, the difference between these temperatures is 11 degrees.
To know more about the temperature difference, here
brainly.com/question/24746268
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