Answer:
First graph = 2/9
Second graph = 3/7
Third graph = 1/5
Step-by-step explanation:
Unit rate can be defined as number of y units changed with respect to the number of x units changed.
Consider the first graph, we can see that for x=9, the change that occurs in y is equals to 2 units. So its units can be given as 2/9
Consider the second graph, we can see that for x=7, the change that occurs in y is equals to 3 units. So its units can be given as 3/7
Consider the third graph, we can see that for x=5, the change that occurs in y is equals to 1 units. So its units can be given as 1/5.
cos a = 3/4
Step-by-step explanation:
Step 1: Given details are cos(a)^4 - sin(a)^4 = 1/8
Now, cos(a)^4 can also be written as (cos²a)² and sin(a)^4 can be written as (sin²a)²
⇒ (cos²a)² - (sin²a)² = 1/8
Step 2: Apply the formula for a² - b² = (a - b) (a + b). Here a = cos²a and b = sin²a
⇒ (cos²a)² - (sin²a)² = (cos²a - sin²a) (cos²a + sin²a) = 1/8
⇒ (cos²a - sin²a) = 1/8 since cos²a + sin²a = 1
⇒ cos²a - (1 - cos²a) = 1/8 since sin²a = 1 - cos²a
⇒ 2 cos²a - 1 = 1/8
⇒ 2 cos²a = 1 + 1/8 = 9/8
⇒ cos²a = 9/16
⇒ cos a = 3/4
We know that
<span>A number x, rounded to 1 decimal place is 12.3
</span><span>so
x>=12.25
and
x < 12.35
</span><span>the error interval for x is the interval [12.25,12.35)
</span>
the answer is
[12.25,12.35)
Answer: C. 7.5%
Solve as decimal
0.5*0.15=0.075
Move two decimal points over
0.075 -> 7.5
Change back to percent
7.5%
