The equivalent expression of 25 - 64 are "a), b) and c)"
The given expression is:
25 - 64
To find, the equivalent expressions are:
a) 25 + 40x - 40x - 64
= 25 - 64, is the equivalent expression.
b) 25 + 13x - 13x - 64
= 25 - 64, is the equivalent expression.
c) (5 + 8)(5 - 8)
Using the algebraic identity,
(a + b)(a - b) =
=
= 25 - 64, is the equivalent expression.
d) ( + 13)( - 13)
Using the algebraic identity,
(a + b)(a - b) =
=
= - 169, is not a equivalent expression.
e)
Using the algebraic identity,
, is not a equivalent expression.
∴ The equivalent expression of 25 - 64 are "a), b) and c)".
<span>-5(4x+7)<25
Use distributive property(Multiply -5 by 4x and 7).
-20x - 35<25
Add 35 to both sides
-20x< 60
Divide both sides by -20 so that the only thing remaining on the left side is the variable x. *Note: When you divide a negative number on both sides of the inequality, the greater than/less than sign flips to it's opposite.
Final Answer: x> -3</span>
Answer:
residual value = 0.0749.
the residual is positive, the actual winning percent for this team is more than what is predicted by the regression line.
Step-by-step explanation:
By the least squares regression equation
Predicted Value = ^y^=2.94X - 0.4873
The residual is the difference between the observed value and the predicted value of y. So, when x = 0.3260,
the regression line predicts ^y^ = 2.94(0.3260) - 0.4873 = 0.47114.
The observed value of y is 0.5460.
Therefore, residual = 0.5460 - 0.4711= 0.0749.
Since the residual is positive, the actual winning percent for this team is more than what is predicted by the regression line.
(a)
Substitute <em>x</em> = 3 tan(<em>t</em> ) and d<em>x</em> = 3 sec²(<em>t </em>) d<em>t</em> :
(b) The series
converges by comparison to the convergent <em>p</em>-series,
(c) The series
converges absolutely, since
That is, ∑ (-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ converges absolutely because ∑ |(-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ| = ∑ (<em>n</em> ² + 9)/<em>e</em>ⁿ in turn converges by comparison to a geometric series.
Answer:
x-1= -18
x = -18 +1
x = -17
2x - 4 = - 38
2x = -38 + 4
2x = -34
x = -34/2
x = -17
Step-by-step explanation: