Answer:
x = 10
Step-by-step explanation:
9x - 40 = 3x + 20
<u>9</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>x</u> - 40 = <u>3x - 3x</u> + 20
6x - 40 = 20
6x <u>-</u><u> </u><u>40</u><u> </u><u>+</u><u> </u><u>40</u> = <u>20</u><u> </u><u>+</u><u> </u><u>40</u>
6x = 60
<u>6x</u><u> </u><u>/</u><u> </u><u>6</u> = <u>60</u><u> </u><u>/</u><u> </u><u>6</u>
x = 10
Now plug the x value in the equation to make the statement true that A is parallel to B.
9x - 40
<u>9</u><u>(</u><u>10</u><u>)</u> - 40
<u>90</u><u> </u><u>-</u><u> </u><u>40</u>
50
3x + 20
<u>3</u><u>(</u><u>10</u><u>)</u> + 20
<u>30</u><u> </u><u>+</u><u> </u><u>20</u>
50
Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!
Answer: A. 664
Step-by-step explanation:
Given : A marketing firm is asked to estimate the percent of existing customers who would purchase a "digital upgrade" to their basic cable TV service.
But there is no information regarding the population proportion is mentioned.
Formula to find the samples size , if the prior estimate to the population proportion is unknown :

, where E = Margin of error.
z* = Two -tailed critical z-value
We know that critical value for 99% confidence interval =
[By z-table]
Margin of error = 0.05
Then, the minimum sample size would become :

Simplify,

Thus, the required sample size= 664
Hence, the correct answer is A. 664.
I have to say the answer is C
Let's solve your equation step-by-step.
2+5x+2=0
Step 1: Simplify both sides of the equation.
2+5x+2=0
(5x)+(2+2)=0(Combine Like Terms)
5x+4=0
5x+4=0
Step 2: Subtract 4 from both sides.
5x+4−4=0−4
5x=−4
Step 3: Divide both sides by 5.
5x
5
=
−4
5
x=
−4
5
Answer:
x=
−4
5
Interval notation uses parenthesis ( or ) for points that are not included in the function (open circle) and brackets [ or ] for points that are included in the function (filled in circle).
Remember that the domain for a function is the range of x-values in a function.
Interval notation includes the numbers at the each end of a continuous function. For function F, the leftmost x-value is 0. The rightmost x-value is 8. Both points at x = 0 and x = 8 are included in the function (filled in circles), so you would use the brackets. The entire function is continuous between those two points.
That means the interval notation for the domain of F is:
[0, 8]
------
Answer: [0, 8]