Answer:
Step-by-step explanation:
h=-5t²+135
when t=3 s
h=-5(3)²+135=-45+135=90 m
9514 1404 393
Answer:
Step-by-step explanation:
a) The 36000 -23000 = 13000 difference in salary is being made up at the rate of 3000 -2000 = 1000 per year. It will take 13000/1000 = 13 years for the salaries to be the same.
__
b) After 13 years, the salary will be ...
23000 +13(3000) = 23000 +39000 = 62,000 . . . dollars
36000 +13(2000) = 36000 +26000 = 62,000 . . . dollars
Solution:
1) Rewrite it in the form {a}^{2}-2ab+{b}^{2}, where a={d}^{2} and b=4
{({d}^{2})}^{2}-2({d}^{2})(4)+{4}^{2}
2) Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}
{({d}^{2}-4)}^{2}
3) Rewrite {d}^{2}-4 in the form {a}^{2}-{b}^{2} , where a=d and b=2
{({d}^{2}-{2}^{2})}^{2}
4) Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)
{((d+2)(d-2))}^{2}
5) Use Multiplication Distributive Property: {(xy)}^{a}={x}^{a}{y}^{a}
{(d+2)}^{2}{(d-2)}^{2}
Done!
Answer:
x=0
Step-by-step explanation:
Solve for x.
5(x - 3) + 4(x + 3) = 3(x - 1)
Distribute
5x -15 +4x +12 = 3x-3
Combine like terms
9x -3 = 3x-3
Add 3 on each side
9x -3+3 = 3x-3
9x = 3x
Subtract 3x from each side
9x-3x = 3x-3x
6x =0
Divide by 6
6x/6 = 0/6
x=0
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.
