<span>"Five times a number added to -4"
5x + (-4)
</span>
<span>subtracted from...
"twice the sum of eight times the number and 7"
2(8x + 7)
5x - 4 - 2(8x + 7)
distribute the -2
5x - 4 - 16x - 14
combine like terms
</span><span>
-11x - 18
</span>
Answer:
<h2>2¹²</h2>
Step-by-step explanation:
The sum of the coefficients in the expansion of (x+1)^12:
= 12C0 + 12C1 + 12C2 + . . . + 12C11 + 12C12
the formula says that this sum equal to 2¹².
Other examples
The sum of the coefficients in the expansion of (x+1)^3:
3C0+3C1+3C2+3C3
=8 = 2³
The sum of the coefficients in the expansion of (x+1)^4:
4C0+4C1+4C2+4C3+4C4
=16 = 2⁴
:)
Answer: One sample z test for means
Step-by-step explanation:
From the information given, the sample size is large. It is greater than 30. Again, the population standard deviation is given. This means that the test statistic would be the z score which is determined by the formula
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
The probability value would be determined from the normal distribution table.
Therefore, the hypothesis test that should be used is
One sample z test for means
Answer:
2
General Formulas and Concepts:
<u>Algebra I</u>
- Leading Coefficients vs Constants
Step-by-step explanation:
The leading coefficient will always be the number multiplied to the highest degree variable.
Our highest degree term is 2x. Our leading coefficient would then be 2.
Answer:
(x, y) arrow (-y, x)
Step-by-step explanation:
Therefore rule of counter is (x,y) arrow (-y,x) ...we have given a triangle is rotated 90'