Answer:
Domain: {−2, −1, 0, 2} Range: {−4, −2, 2}
Step-by-step explanation:
We have been given a mapping diagram as shown below:
X Y
-2 -4
-1 -2
0 2
2
For better view, you can check the attached mapping diagram.
From that diagram we have to find domain and range.
Domain contains only x values so domain will be:
Domain: {-2,-1,0,2}
Range contains only y values so range will be:
Range: {-4,-2,2}
We see that only third choice matches obtained values of domain and range.
Hence final answer is Domain: {−2, −1, 0, 2} Range: {−4, −2, 2}
For this problem, you're going to need to use trig. More specifically, you need to use the tangent function:
tan (value) = opposite/adjacent
tan 75 = opposite/8 (Here, the opposite side is the length of the ladder)
8 * tan 75 = opposite
29.8564065 = opposite
So, the ladder is 29.9 feet.
Answer:
Option 4
Step-by-step explanation:
Term = n/(4^n)
(n+1)th term = (n+1)/[4^(n+1)]
Ratio: (n+1)/[4^(n+1)] ÷ n/(4^n)
= (n+1)/[4^(n+1)] × (4^n)/n
= [(n+1)/n] × (1/4)
For large n, (n+1)/n approaches 1
[(n+1)/n] × (1/4) approaches 1/4 which is less than 1
Since the ratio is less than 1, series converges
Part 1: Answer:
(x+1)(x+1)(x-6) = x^3 - 4x^2 - 11x - 6
Step-by-step explanation:
To make r a root, include (x-r) as a factor. (-1+1)(-1+1)(-1-6) is zero even though (-1-6) isn't.
(6+1)(6+1)(6-6) is zero.
Part 2 Answer:
Standard form: y = -x^4 + 12
Degree 4
left end goes down, right end goes down.
Step by step: apply the definitions of standard form, polynomial degree, and "end behavior". In other words, read the textbook.
Part 3: Answer: x = 3, x = 8
Step by step:
x^2-11x = -24
x^2-11x+24 = 0
(x-3)(x-8) = 0
x = 3 or x = 8
Part 4a Answer:
quotient 2x^2 + x - 3
remainder 1
Step by step:
2x^2 + x - 3
___________________
x-4 ) 2x^3 - 7x^2 - 7x + 13
2x^3 - 8x^2
__________
0 + x^2 - 7x + 13
x^2 - 4x
____________
0 - 3x + 13
- 3x + 12
______
1
Part 4b answer:
quotient 2x^2 - 6x + 2
remainder -20
Step by step: you have to know exactly what you are doing. Refer to textbook or Wikipedia.
dividend 2x^3 +14x^2 - 58x
divisor x+10
leading coefficient of divisor must be 1
write coefficients of dividend at top
write coefficients of dividend at left
| 2 14 -58 0
-10 | -20 60 -20
___________
| 2 -6 2 -20
Coefficients of quotient are 2 -6 2
Remainder is -20
quotient = 2x^2 - 6x + 2
Answer:
1/4^3 = 1/64
Step-by-step explanation:
you just basically multiply 1/4 for the first 3 ones, you multiply 
. then you do the same but twice and then once.
