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11111nata11111 [884]
3 years ago
9

Which value must be added to the expression x2 + x to make it a perfect-square trinomial? One-fourth One-half 1 4

Mathematics
2 answers:
kaheart [24]3 years ago
5 0

Answer:

a. ¼

<em>(Below is the Screenshot on EdgeCourseware)</em>

SVEN [57.7K]3 years ago
3 0

Answer:

\frac{1}{4}

Step-by-step explanation:

Given

x² + x

To complete the square

add ( half the coefficient of the x- term )² to x² + x

x² + 2(\frac{1}{2} )x + (\frac{1}{2} )² = x² + x + \frac{1}{4}

= (x + \frac{1}{2} )² ← perfect square

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Daneielle's rectangular bedroom has an area of 12 3/4 square meters.It is 3.4 meters long. How many meters wide is Danielle's be
ExtremeBDS [4]
12 3/4 as a decimal is 12.75
The area of a rectangle is length times width.
So if you divide the area (12.75) by the length(3.4)
you will get a width (and answer) of 3.75 :)

7 0
3 years ago
Find the equation of the line passing through the point (–1, 0) and parallel to the line y = –1∕2x + 3∕7
PilotLPTM [1.2K]

Answer:

y = -1/2x - 1/2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y = -1/2x + 3/7

Point (-1, 0)

Step 2: Find parallel line

<em>Parallel lines have the same slope as the original but different y-intercepts.</em>

<em>m</em> = -1/2

y = -1/2x + b

0 = -1/2(-1) + b

0 = 1/2 + b

b = -1/2

Step 3: Write parallel line

y = -1/2x - 1/2

7 0
4 years ago
Janice works for a salary of $2,396 per month. She has federal income tax withheld at the rate of 15 percent, Social Security ta
MAVERICK [17]

Given that Janice monthly salary is $2,396. And she has deductions of federal income tax withheld at the rate 15%, social security tax at the rate of 6.2% and medicare tax at the rate of 1.45% and health insurance premium worth 95$ per month.

Let us calculate total deductions.

Federal income tax = 15% of 2396 = 0.15*2396      =$359.4

Social security tax  = 6.2% of 2396=0.062*2396    =$148.552

Medicare tax           = 1.45% of 2396= 0.0145*2396=$34.742

<u>health insurance premium                                         =$95          </u>

Total deductions                                                        = $637.694

To calculate Janice net pay we have to subtract deductions from monthly salary that is 2396-637.694 = $1758.306

Hence net pay of Janice is $1758.306 per month.

4 0
3 years ago
A memory card at Best Buy has a sticker price of $129.20.
attashe74 [19]
It’s $138.89 including sales tax
7 0
3 years ago
Read 2 more answers
21x+28=14 and 9x+12y=6
Westkost [7]
<span>21x+28=14
x= -2/3 or -0.666666666

</span><span>9x+12y=6
x=2/3 or .666666666
y=0</span>
7 0
4 years ago
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