Answer:
14
Step-by-step explanation:
105 and (6x-21) the same. So you do 105 minus 21, then divide that by 6.
Answer: B
Step-by-step explanation: An exterior angle is an angle that exceeds 90 degrees (2,3) but not a straight line
Answer:
<h3>
9, 10 and 11</h3>
Step-by-step explanation:
x - the smallest of three consecutive integers (the first)
x+1 - the next of three consecutive integers (the second)
x+2 - the last of three consecutive integers (the third)
3(x+2) - three times the third integer
<u>3(x+2)+x </u> - three times the third increased by the first
5(x+1) - five times the second tnteger
<u>5(x+1)-8 </u> - 8 less than five times the second
3(x + 2) + x = 5(x + 1) - 8
3x + 6 + x = 5x + 5 - 8
4x + 6 = 5x - 3
-4x -4x
6 = x - 3
x = 9
x+1 = 10
x+2 = 11
Check: 3×11+9 = 33+9 = <u>42</u>, 5×10-8=50-8 = <u>42</u>
Answer:
The graph of g(x) is the graph of f(x) stretched by 3 and shifted 8 units up
Step-by-step explanation:
Given


Required
Compare g(x) and f(x)
We have:

Rewrite as:
![g(x) =3[x^2] + 8](https://tex.z-dn.net/?f=g%28x%29%20%20%3D3%5Bx%5E2%5D%20%2B%208)
Substitute:

This means that:
<u>3f(x)</u>
f(x) is stretched vertically by a factor of 3
<u>+8</u>
Then shifted upwards by 8 units to give g(x)
Answer:
(351.04, 368.96)
Step-by-step explanation:
Given that population mean= 360
Std devitaion = 4
margin of error = 2.5%= 0.025
Since population std deviation is known we can use Z critical value
For two tailed critical value for 2.5% would be
2.24
Margin of error = ±Critical value*std deviation
= ±2.24(4)
= ±8.96
Confidence interval =(Mean - margin of error, mean + margin of error)
=