Answer: D
<u>Step-by-step explanation:</u>
f(x) = 2x g(x) = x² - 1
f(g(x)) = 2(x² - 1)
= 2x² - 2
g(f(x)) = (2x)² - 1
= 4x² - 1
Formula for perimeter ;
P = length + length + width + width
P = 2l + 2w
l = -4 + 5w
l = 5w - 4
substitute into equation of perimeter
292 = 2(5w - 4) + 2w
292 = 10w - 8 + 2w
292 + 8 = 10w + 2w
300 = 12w
25 = w
substitute into eqution to find the length;
l = 5(25) - 4
l = 125 - 4
l = 121
therefore, the width is 25 and the length is 121
hope that helps, God bless!
The number of presale tickets sold is 271
<em><u>Solution:</u></em>
Let "p" be the number of presale tickets sold
Let "g" be the number of tickets sold at gate
<em><u>Given that, total of 800 Pre-sale tickets and tickets at the gate were sold</u></em>
Therefore,
Presale tickets + tickets sold at gate = 800
p + g = 800 ------ eqn 1
<em><u>Given that, number of tickets sold at the gate was thirteen less than twice the number of pre-sale tickets</u></em>
Therefore,
Number of tickets sold at gate = twice the number of pre-sale tickets - 13
g = 2p - 13 ------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
Substitute eqn 2 in eqn 1
p + 2p - 13 = 800
3p -13 = 800
3p = 800 + 13
3p = 813
p = 271
Thus 271 presale tickets were sold
Answer:
17 packets
Step-by-step explanation:
So Tanya needs 130 chocolate bars.
But there is 8 in each packet.
So,
130 ÷ 8 = 16.25
16 packets
As you can see, there is a quarter left of chocolates that she needs (0.25). So what she can do is buy 1 more packet then give the quarter of that packet to the children.
So 16 + 1 = 17 packets
Answer:
domain = all real numbers
Step-by-step explanation:
domain is the x axis
its asking what it goes to but if they have arrows then forever