Answer:
x-intercept is (2,0) [The x-intercept means that it takes 2 hours for the temperature to reach 0°C]
y-intercept is (0, -6) [The y-intercept represents the temperature at sunrise, -6°C]
Step-by-step explanation:
<u>Complete Question:</u>
<em>The air temperature is -6 degrees celcius at sunrise and rises 3 degree celcius every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x - 6. Find the x-intercept and y-intercept and interpret their meaning.</em>
<em />
- The x-intercept is the x-axis cutting point found by setting y = 0 [function = 0]
- The y-intercept is the y-axis cutting point found by setting x = 0
Lets find x-intercept first:
f(x) = 3x - 6
0 = 3x - 6
3x = 6
x = 6/3
x = 2
x-intercept is (2,0)
Now, lets find y-intercept:
f(x) = 3x - 6
f(x) = 3(0) - 6
f(x) = -6
y-intercept is (0, -6)
The x-intercept means that it takes 2 hours for the temperature to reach 0°C
The y-intercept represents the temperature at sunrise, -6°C
Answer: Option (1)
Step-by-step explanation:
The domain and range of all linear functions is the set of real numbers.
Answer:
True, based on the <em>Transitive Property of Equality</em>.
Step-by-step explanation:
Note that the <em>Transitive Property of Equality </em>states that "If a = b, & b = c, then a = c.
In this case it is the same.
∠1 ≅ ∠2 (because both are complementary), ∠1 ≅ ∠3 (again, both are complementary), then based on the Transitive Property, ∠2 ≅ ∠3, making all of them complementary angles
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<em>~Senpai</em>
We have to simplify and get the value of x from this inequality given:
Given inequality,
Now let's simplify by using distributive property,
We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.
Now, dividing -2 from both sides.
Note : As we are dividing a negative number from both sides, the sign of the inequality will be <u>reversed</u>.
Now subtracting -7 from both sides,
Or, Interval of the equal ![(- \infin, -7 ]](https://tex.z-dn.net/?f=%28-%20%5Cinfin%2C%20-7%20%5D)
#CarryOnLearning
<u>━━━━━━━━━━━━━━━━━━━━</u>
Differentiate both sides wrt 
:
By the chain rule, we get
Solve for 
:
