Hello there! :)
<u><em>Answer:</em></u>
<u><em>*The answer must have a fraction.*</em></u>
Step-by-step explanation:
Lesson: Zero and Negative Exponents.
Distributive property: a(b+c)=ab+ac
First, you apply exponent rule.
Final answer:
Hope this helps!
Thanks!
-Charlie
Have a great day!
:)
:D
a. See image of the graph attached below.
b. The relation is a function
c. The domain is: {-1, 0, 1, 2, 3, 4, 5, 6, 7}
Range is: {-4, -3, 0, 5, 12}
<h3>How to Determine if a Relation is a Function?</h3>If every x-value in a relation has exactly one y-value that corresponds to it, then the relation is a function.
A graph that has a U-shape with a minimum, that is the pointed U-shape is downwards, it means the relation has x-values that have exactly one y-value that corresponds to to it, therefore, the relation is a function.
a. To fill out the table, plug in the value of x into y = x² - 6x + 5:
When x = -1:
y = (-1)² - 6(-1) + 5 = 12
When x = 0:
y = (0)² - 6(0) + 5 = 5
When x = 1:
y = (1)² - 6(1) + 5 = 0
When x = 2:
y = (2)² - 6(2) + 5 = -3
When x = 3:
y = (3)² - 6(3) + 5 = -4
When x = 4:
y = (4)² - 6(4) + 5 = -3
When x = 5:
y = (5)² - 6(5) + 5 = 0
When x = 6:
y = (6)² - 6(6) + 5 = 5
When x = 7:
y = (7)² - 6(7) + 5 = 12
Thus, the graph has a minimum of -4.
b. The relation is a function because each x-value has exactly one y-value related to it.
c. The domain is: {-1, 0, 1, 2, 3, 4, 5, 6, 7}
Range is: {-4, -3, 0, 5, 12}
Learn more about function on:
#SPJ1
Answer:
35°
Step-by-step explanation:
From the sketch made, to obtain B we use the cosine angle formula :
We have 2 so des and an included angle
Cos B = (a² + c² - b²) / 2ac
First we obtain the side c
c² = a² + b² - 2ab CosC
c² = 11.2² + 6.7² - 2(11.7 * 6.7) * cos 72
c = 11.13
Using the value of c
Cos B = (a² + c² - b²) / 2ac
CosB = (11.2² + 11.13² - 6.7²) / (2*11.2*11.13)
Cos B = 204.4269 / 249.312
B = Cos^-1(204.4269 / 249.312)
B = 34.9°
