Answer:
we would add [tex]\:\left(\frac{1}{2}\right)^2\:[/tex] or 1/4 to make the expression a perfect square.
Step-by-step explanation:
Given the expression
[tex]x^2+x[/tex]
[tex]\mathrm{Write}\:x^2+x\:\mathrm{in\:the\:form:\:\:}x^2+2ax+a^2[/tex]
[tex]2a=1[/tex]
Divide both sides by 2
[tex]\frac{2a}{2}=\frac{1}{2}[/tex]
[tex]a=\frac{1}{2}[/tex]
as
[tex]x^2+2ax+a^2=\left(x+a\right)^2[/tex]
[tex]\mathrm{Add\:}\:\left(\frac{1}{2}\right)^2\:[/tex]
[tex]x^2+1x+\left(\frac{1}{2}\right)^2=\left(x+\frac{1}{2}\right)^2[/tex]
Thus, we would add [tex]\:\left(\frac{1}{2}\right)^2\:[/tex] or 1/4 to make the expression a perfect square.
The vertices of a polygon are shown below.
P(1, 3), Q(–2, 3), R(–4, 1),S(–4, –3), T(–2, –5), U(1, –5), V(3, –3),W(3, 1)
Which polygon has these vertices?
On a coordinate plane, 6 points are plotted and labeled hexagon. The points are at (negative 4, negative 3), (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), and (3, negative 3).
On a coordinate plane, 6 points are plotted and labeled octagon. The points are at (negative 4, negative 3), (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), and (3, negative 3).
On a coordinate plane, 8 points are plotted and labeled hexagon. The points are (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), (3, negative 3), (1, negative 5), (negative 2, negative 5), (negative 4, negative 3).
On a coordinate plane, 8 points are plotted and labeled octagon. The points are (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), (3, negative 3), (1, negative 5), (negative 2, negative 5), (negative 4, negative 3).
Answer:
The Answer is C
Step-by-step explanation:
This applies to your exam.
Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 8 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups?
150 minutes
160 minutes
170 minutes
180 minutes
Answer: b. 160
Step-by-step explanation: just took the test
There are 160 minutes would the water level be less than or equal to 64 cups.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Here, The equation we're given is,
W = -0.414t + 129.549,
which an be written as,
-0.414t + 129.549 = W.
Now, We are asked to find the amount of time it would take for the water level to be less than or equal to 64 cups.
Plugging this information in, we have:
-0.414t + 129.549 ≤ 64
To solve this, we first cancel 129.549 by subtracting from both sides:
-0.414t + 129.549 - 129.549 ≤ 64 - 129.549
-0.414t ≤ -65.549
Now divide both sides by -0.414:
-0.414t/-0.414 ≤ -65.549/-0.414
t ≥ 158.33
(When we multiply or divide both sides of an inequality by a negative number, we must flip the inequality symbol.)
t ≥ 160 minutes
Thus, There are 160 minutes would the water level be less than or equal to 64 cups.
Learn more about the inequality visit:
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Calculate the area of this triangle
Answer:
99cm^2
Step-by-step explanation:
The formula for area of a triangle is 1/2bh=a with b being the base and h being the height. Base and height here are 18cm and 11cm so multiplying them gets 198, multiply by 1/2 and get 99cm^2.
Given f(x) = -x +6, Evaluate f(x) for X= -1 and 3 and 5
Range:
Answer:
f(x) for x = -1 is -1+6= 5
f(x) for x = 3 is -3+6= 3
f(x) for x = 5 is -5+6= 1
Polygons EFGH and E'F'G'H' are shown on the following coordinate grid:A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygon EFGH is shown with vertex E on ordered pair 2, 2, vertex F on ordered pair 2, 4, vertex G on ordered pair 3, 1 and vertex H on ordered pair 3, 5. A polygon E prime F prime G prime H prime is shown with vertex E prime on ordered pair negative 1, 2, vertex F prime on ordered pair negative 3, 2, vertex G prime on ordered 0, 3, and vertex H prime on ordered pair negative 4, 3.
What set of transformations is performed on EFGH to form E'F'G'H'?
A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin
A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right
A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right
Answer:
90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the right
Step-by-step explanation:
A rive is 10 ft wide.Two boats start to move towards each other from opposite river banks.In one minute the first boat goes 2 feet and the second one goes 1 foot.What would be the distance between the boats after 1 minute?
Answer:
The distance between the boats after 1 minute is 17 ft
Step-by-step explanation:
Here, we want to calculate the distance between the boats after 1 minute
The distance covered by the first boat after 1 minute is 2 feet while for the second it is 1 foot
So for the first boat, it has 8 ft ahead, for the second boat, it has 9 ft ahead
So the distance between the two after 1 minute will be 9 ft + 8 ft = 17 ft
Harper knows he is 100 yards from school. The map on his phone shows that the school is 1/3 inch from his current location. If Harper’s current location is 3 inches from home on the same map, how far is Harper from home?
Answer:
4 7/17 yards or 4.412 yards approximately if the map shows the distance as 3 inches.
Step-by-step explanation:
I will give brainliest and five stars for the correct answer please help
Two submarines began dives in the same vertical position to meet at a designated point. If one submarine was on a course approximated by the equation x + 4y = -14 and the other was on a course approximated by the equation x + 3y = -8, at what location would they meet?
Write the coordinates of the point.
Answer: (10,-6)
Step-by-step explanation:solve by substitution
The graph of g(x) = 3|x|+ 4 maps a person’s path from their house to school, and their path from school to a friend’s house. At what point is the school located?
Answer:
I think the school is located at (0,4).
Step-by-step explanation:
I graphed the equation in my graphing calculator and it came up with a kind of v shaped graph. If you look at the question and see that we first house to school, that would probably mean from the left side of the graph to the center (0,4). Then we go from school to friend's house, so it must be from the center to the right side of the graph. Therefore, the school must be the y intercept (0,4) as that is the center of the graph.
What is the answer??
Answer:
letter C is the right answer
please help ..........
Answer:
i think it would be c (the third one)
Step-by-step explanation:
because for every meal he has to subtract 2.25 from 35
Answer:
The answer would be x=35-2.25y
Step-by-step explanation:
20 or 30 points-
I need help
Answer:
Step-by-step explanation:
03. as a percent is 30%
1.5% as a decimal is 0.75
3/4 x 80 is 60.
4 2/3 divided by 1/2 is 1.5...
Answer:
27 = 30%
28 = 0.15
29 = 60
30 = 14
Step-by-step explanation:
When you convert a decimal to a percentage, if it is set up with "0." in front, then just swap the number behind the decimal and put it in front of the zero and add a percentage sign. When converting a percentage to a decimal, you reverse the process. Then the others are simple multiplication and division! Remember, when you're dividing a fraction, use the process "KCP" (keep change flip) where you keep the first fraction in the equation, change the division sign to a multiplication sign, and flip the next fraction. (ex. 1/2 flipped to 2/1.) Then just multiply.
How do I find the answer to this.
A company charges $7 for a T-shirt and ships any order for $15. A school principal ordered a number of T-shirts for the school store. The total cost of the order was $1,520. Which equation can be used to find the number of shirts ordered?
[tex]4x-38=53[/tex]
Solve for 'x'.
Answer:
x = 22.75
Step-by-step explanation:
Step 1: 4x - 38 = 53 <----- Here is the original problem.
Step 2: 4x - 38 + 38 = 53 + 38 <----- Add 38 to both sides.
Step 3: 4x = 91 <----- Simplify
Step 4: [tex]\frac{4x}{4} =[/tex] [tex]\frac{91}{4}[/tex] <----- Subtract both sides by 4.
x = 22.75
Hope this helps! :D
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen. How many inches of snow fall in 6 1/2 hours?
Answer:
12.2 inches of snow ... sorry if its incorrect
Step-by-step explanation:
Answer:
13 inches of snow would fall in 6 1/2 hours.
Step-by-step explanation:
We can apply a point system:
In zero hours, zero inches of snow would fall. (0,0)
In two hours, four inches of snow would fall. (2,4)
Since the rate of the snowfall is linear (steady), we could create a linear equation.
y = 2x, where x is the time in hours and y is the snowfall in inches.
We need to figure out what y would equal if x = 6.5 (6 1/2 hours).
Plugging in x = 6.5 in our equation:
y = 2 * 6.5
= 13
Hope this helps!
What is the coordinate for the orthocenter of the triangle LMN?
Answer:
Step-by-step explanation:
2(3w-7)=34 solve for w
Answer:
w = 8
Step-by-step explanation:
2(3w - 7) = 34 ( divide both sides by 2 )
3w - 7 = 17 ( add 7 to both sides )
3w = 24 ( divide both sides by 3 )
w = 8
Watch help video
Hailey and her children went into a grocery store and she bought $10 worth of apples
and bananas. Each apple costs $1.25 and each banana costs $0,50. She bought a total
of 14 apples and bananas altogether. By following the steps below, determine the
number of apples, 2, and the number of bananas, y, that Hailey bought
Determine three ways to Have a total of 14 apples and bananas:
Cost of apples: $0.00
Cost of bananas: 50.00
Answer:
a = 4
b = 10
Step-by-step explanation:
Price of an apple $1.25
Price of a banana $0.5 0
The two equations:
10 = 1.25a + 0.5b
a + b = 14
solve for one variable
b = 14 - a
10 = 1.25a + 0.5(14-a)
10 = 1.25a+ 7 - 0.5a
10 = 0.75a + 7
0.75a = 3
a = 4
Then solve for the second
b = 14 - 4
b = 10
A cable television provider charges $75 for installation and $39.96 per month for a basic entertainment package. a satellite television provider offers free installation and charges $13.32 per month for service for each television. your neighbor subscribes to the cable provider the same month you subscribe to the satellite provider. after how many months is your neighbor's total cost the same as your total cost when you own three televisions?
The total cost will never be same for me and my neighbor.
Let us assume the number of months when cost will be equal for both me and my neighbors be x.
So, my cost of cable = Cost per month per television × number of televisions × number of months
My cost of cable = 13.32 × 3 × x
My cost of cable = 39.96x
Cost of cable for my neighbor = One time installation cost + Cost per month × number of months
(Assuming neighbor has 1 television as the number is not specified)
Cost of cable for my neighbor = 75 + 39.96 × x
Cost of cable for my neighbor = 75 + 39.96x
We need to equal the cost for both, so relating the equation -
39.96x = 75 + 39.96x
It is clear that equation can not be solved for the value of x. Hence, it can be concluded that cost of cable for me and my neighbor will never be equal. Also, my cost of cable will always be less.
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Solve for x and y.
y = 2/3x - 2
y = -x + 3
O(-3,0)
O(0,-3)
O (3,0)
O (0,3)
Answer:
(3,0)
Step-by-step explanation:
y= 2/3x - 2 ... (1)
y= -x+3 ... (2)
First, change the equations into normal equation form
(1): - 2/3x + y= - 2
(2): x+y= 3
(1)×3: - 2x+3y= - 6 ... (3)
(2)×2: 2x+2y= 6 ... (4)
(3)+(4): 5y=0
y= 0
Substitute y=0 into any equation
Let's say, equation (2)
y= -x+3
0= -x+3
-3= -x
x= 3
(x,y)= (3,0)
whats the answer giving brainliest :)>.
Answer:
B is the correct answer :))
because she's doing the math so that there are 40 plants in each row. So, she's trying to figure out how many rows she will need. When she does the math for 40 plants in each row, she ends up with 193 rows, and 25 corn plants left over
Step-by-step explanation:
PLEASE HELP WILL MAKE YOU BRAINLIEST!!!!!!!!!!!NEED HELP ASAP!!!!!20 POINTS!!!!
Answer:
um...there's nothing there to answer
Step-by-step explanation:
Item 3
POSSIBLE POINTS: 1
Solve for x in the given isosceles triangle.
(Hint: You will not need to use all three sides!)
x =
Answer: 44.5
Hope this helps :)
Pls help will give brainlyist
Answer:
B. symmetric property
Please help somebody this is really hard.
7.5 mph
3/4=.75 miles per 1/10 hour
.75x10=7.5
How many 1/2 s are in 4 ?
Answer:
8
Step-by-step explanation:
To find this multiply 4/1 by 2/1.
4/1 x 2/1 = 8/1 = 8.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
8
Step-by-step explanation:
simply 1/2+1/2+1/2+1/2+1/2+1/2+1/2+1/2
What is the solution set for this inequality?
Answer:
x<7 i believe
Step-by-step explanation:
Ms. De la rosa wants to make a homemade slime solution to play with her friends A slime recepie she found requiers 5/3 of war water for every 1/3 cups of glue if she has 2/4 cup of soap how many cups of warm water will she need
Answer:
5/2 cups of warm water
Step-by-step explanation:
Recipe for homemade slime solution
Warm water : cups of soap
5/3 : 1/3
if she has 2/4 cup of soap how many cups of warm water will she need
Let
x = cups of warm water she will need
Warm water : cups of soap
x : 2/4
Equate the two ratios
5/3 : 1/3 = x : 2/4
5/3 ÷ 1/3 = x ÷ 2/4
Cross product
5/3 * 3/1 = x * 4/2
15/3 = x * 2
5 = 2x
Divide both sides by 2
x = 5/2 cups
She will need 5/2 cups of warm water
Solve y-3=13 for y solve it
Answer:
y = 16
Step-by-step explanation:
In order to solve for y, we have to get y by itself.
Add 3 to both sides
y-3 +3 =13 +3
y = 16
Have a lovely rest of your day! :)