Answer:
f(3)=64
Step-by-step explanation:
f(3)=(1/8)(8 cubed)
f(3)= 8 to the negative one times 8 cubed
f(3)= 8 squared
f(3)=64
 
        
                    
             
        
        
        
Step-by-step explanation:
Given function is y = –x.
Substitute the values of x in the function and find the values of y.
y = –x
At x = –2,
y = –(–2) = 2
At x = –1,
y = –(–1) = 1
At x = 0, 
y = –(0) = 0
At x = 1,
y = –1(1) = –1
At x = 2, 
y = –(2) = –2
Now, substitute the values of y in the table.
The image of the table is attached below.
 
        
             
        
        
        
Answer:
9. x>-4 or x≥1
10. a<2 or a≥-5
11. v≤7 or v≥-4
12. k≥5 or k<8
13. n>6.8 and n≤9
Step-by-step explanation:
9. -2x-7>1
 -2x>8
 x>-4
 x-2≥-1
 x≥1
10.a/-2 <-1
 a<2
 -4a+3≥23
 -4a≥20
 a≥-5
11. 6v+38≤-4
 6v≤-42
 v≤7
 2(v+3)≥-2
 2v+6≥-2
 2v≥-8
 v≥-4
12. 4(1-k)≥-16
 4-4k≥-16
 -4k≥-20
 k≥5
 7-6k<-41
 -6k<-48
 k<8
13. 10n-9>-59
 10n>-68
 n>6.8
 n-6≤3
 n≤9
 
        
             
        
        
        
To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.
<h3>Pythagorean Theorem</h3>
This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.
To calculate the base of the triangle, let's use Pythagorean theorem here

Having the length of the base, let's consider the height of the triangle which is 6 and substitute the values.

From the calculations above, the values of the triangle are
- diagonal = 7
- base = 3.61
- height = 6
Learn more on pythagorean theorem here;
brainly.com/question/231802
#SPJ1
 
        
             
        
        
        
Answer: 304
Step-by-step explanation: first you multiply 9, 3, and 12 which equals 324. Then you subtract 20 from 324 and you get 304.