The two numbers are both -15
-15 x -15= 225
-15+ -15= -30
"Factors" just means numbers in the context of multiplication - so we just need to name a pair of numbers that, when multiplied, give 8.
Those would be: 1 and 8
2 and 4
so there are two solution to this question: 1 and 8, 2 and 4!
we can also include negative numbers:
-1 and -8
-2 and -4
because a multiplication of two negative numbers gives a positive result!
Answer: Badwater is 282 feet below the sea level.
Step-by-step explanation:
Given: Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Death Valley headquarters.
To find the depth of Badwater we need to add depth of Death Valley headquarters from sea level to the depth of Badwater from Death valley headquarters.
i.e. The Depth of Badwater from sea-level = 190 feet +92 feet
= 282 feet
Hence, Badwater is 282 feet below the sea level.
Using derivatives, it is found that regarding the tangent line to the function, we have that:
- The equation of the line is y = 962x - 5119.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:
f(x) = 5x³ + 2x + 1.
The derivative is given by:
f'(x) = 15x² + 2.
Hence the slope at x = 8 is:
m = f'(8) = 15(8)² + 2 = 962.
The line goes through the point (8,f(8)), hence:
f(8) = 5(8)³ + 2(8) + 1 = 2577.
Hence:
y = 962x + b
2577 = 962(8) + b
b = -5119.
Hence the equation is:
y = 962x - 5119.
More can be learned about tangent lines at brainly.com/question/8174665
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Answer:
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