Answers
Answer:
To complete the square, you always want to add [tex](\frac{a}{2} )^{2}[/tex], where a is the coefficient of x.
In this case, the coefficient of x is -1.
Thus,
[tex]y=x^2-x+1[/tex]
[tex]y=x^2-x+(\frac{-1}{2})^2 +1-(\frac{-1}{2})^2[/tex]
[tex]y=(x-\frac{1}{2})^2+1-\frac{1}{4}[/tex]
[tex]y=(x-\frac{1}{2})^2+\frac{3}{4}[/tex]
Related Questions
A board is 6 feet 4 inches long. How long is the board in inches?
1ft = 12 in
Answers
Answer:
76 inches
Step-by-step explanation:
6x12 = 72
72+4 = 76
Answer:
It would be 76 inches!
Step-by-step explanation:
Six times 12 = 72
72+4 = 76
r(m)r(m)r, left parenthesis, m, right parenthesis models the average monthly rainfall (in millimeters) in Tanzania for the years 190019001900-200920092009 as a function of the month number mmm.
Month # Rainfall (millimeters)
111 145145145
222 135.8135.8135, point, 8
333 179.1179.1179, point, 1
444 171171171
555 64.864.864, point, 8
666 12.612.612, point, 6
777 8.48.48, point, 4
888 8.98.98, point, 9
999 15.715.715, point, 7
101010 29.529.529, point, 5
111111 83.883.883, point, 8
121212 142.6142.6142, point, 6
Which number type is more appropriate for the domain of rrr?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Integers
(Choice B)
B
Real numbers
What's the appropriate domain?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
0\le m\le 179.10≤m≤179.10, is less than or equal to, m, is less than or eq
Answers
Answer:
Integers
1</ M </ 12
Step-by-step explanation:
Khan Aacademy
Explain relative dating and its relationship to the Law of Superposition
Answers
Answer:
its b i took the test
Step-by-step explanation:
its b
What are the values of m and n
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required values are ~
[tex]m = 60 \degree[/tex][tex]n = 30 \degree[/tex]Refer to attachment for solution ~
I will mark brainliest. Only REAL ANSWERS PLEASE!!!
Answers
Answer:
y > -4
Step-by-step explanation:
The line almost intercepts at the point -4, but it is slightly above it, meaning Y is bigger (>) than -4.
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp i will put brailny
Answers
Answer:
fraction 1/4. decimal 0.25 percent 25%
Step-by-step explanation:
5:20=5/20=1/4
1/4 is 0.25
the percentage is 25% aftr multiplying the decimal by 100%
Please help, I'm supposed to graph the equations and label the intersection point, it's due this week-
100x + 150y = 3,050
x + y = 23
Answers
Step-by-step explanation:
x=54/1
y=56/4
because 50y=2820
Maria buys n pencils that cost p cents each.
She pays with a $y note.
Find, in terms of n,p and y, the amount of change Maria receives.
Give your answer in cents.
Answers
Answer:
change = 100y -np
Step-by-step explanation:
The amount Maria owes for the pencils (in cents) is n times the cost of one pencil: np.
The amount she offers for the pencils (in cents) is 100y, since each dollar is worth 100 cents.
Her change will be the difference between what she offered in payment and what she owes.
change = 100y -np
Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.
Answers
4x + 30 = 110
3x + 10 = 70
Tell 3 numbers that are less than 2 and greater than −1.
Answers
Answer:
0 and 1 and -2 and -3
Step-by-step explanation:
If not, then 0, 1, and 1.75.
What is the greatest common factor of 48, 72 and 52? A.2 B.4 C.8 D.16
Answers
the answer is 4 since 4 is common in all the three digits
B).4
what is 3x-4y= -24 answer
Answers
Answer:
The answer will be ( [tex]x=\frac{-24+4y}{3}[/tex] )
THEN c. If a || band line c is parallel to line a, then line b and c are?
Answers
Answer: parallel
Step-by-step explanation:
For two lines to be parallel they must have the same slope.
Because a is parallel to b they must have the same slope. Let's call that slope x.
Because c is parallel to b they must have the same slope. Because the slope of b is x, the slope of c must be x.
Because the slope of both a and c are x, they must be parallel.
The transformation shown is a rotation.
true or false
Answers
Answer:
True
Step-by-step explanation:
Actually, I'm pretty sure it can also be a reflection! :) Have a good day!!!
Which statements about the function fare true? Check
all that apply.
The domain of f(x) is {all real numbers).
Answers
Answer:
see explanation
Step-by-step explanation:
The following statements are true
The domain of f(x) is all real numbers
The range of f(x) is all real numbers
f(2) = 4
locate x = 2 on the x- axis, go vertically up to meet the line at (2, 4 ) , then
f(2) = 4
Is the point (3,2) a solution of the equation?
Answers
Step-by-step explanation:
no cause 3/2 can't be changed
Iro drives 50 miles/hour for 0.6 hours. Kalini drives 65
miles/hour for 0.5 hours.
Who drove farther, and how far did that person drive?
Answers
Answer:
iro 50*.6 gives us 30 miles
andkalini drives 65 for .5 65*.5= 32.5 miles
so kalini drove further
Solve the linear systems using addition or subtraction 7x + 2y = 8;-5x - 2 =-12
Answers
Answer:
(2 , -3)
Step-by-step explanation:
7x +2y = 8
-5x - 2 = -12
The only method that uses addition/subtraction is elimination
5(7x + 2y = 8)
7(-5x = 10) I am getting x coefficient to be the same, LCF of 7 and 5 is 35)
(multiply it out and now we can get ready to subtract) *I got 10 by adding 2 to -12*
35x + 10y = 40
-35x = 70
10y = -30
y = -3
substitute y into original equation
7x + 2 (-3) = 8
7x - 6 = 8
7x = 14
x = 2
(2 , -3 )
Answer:
Step-by-step explanation:
Add 5x to both sides to isolate -2:
-5x + 5x - 2 = -12 + 5x
-2 = -12 + 5x
Add 12 to both sides to isolate the 5x:
-2 + 12 = -12 + 12 + 5x
10 = 5x
Divide both sides by 5:
[tex]\frac{5x}{5} = 10 \div 5\\[/tex]
x = 2
Substitute this value into the first equation:
7x + 2y = 8
7(2) + 2y = 8
14 + 2y = 8
Subtract 14 from both sides:
14 - 14 + 2y = 8 - 14
2y = -6
Divide both sides by 2:
2y ÷ 2 = -6 ÷ 2
y = -3
So the coordinate set is:
(2, -3)
Hope this helps!
Need some help for Exponents.
1) Five squared
2) Eight to the 5th power
3) Nine cubed
4) 2 x 2 x 2 x 2
5) 7 x 7 x 7 x 7 x 7 x 7
6) 2.3 x 2.3
Find the value of each of the following:
7) 54
8) 132
9) (1.2)2
10) 180
11) 10002
12) 72 x 70
Critical Thinking Applications
13) Mali bought a new car. She drove 63 miles the first month and 64 miles the second month. How much further did she drive the second month? Explain each step.
14) Create an application problem similar to the one above. Solve your problem. Explain each step.
15) In your own words, write three or four sentences explaining what exponents are and how they are used in math.
16) Create and solve 5 problems using exponents.
Answers
Answer:
1) 25
2) 32,768
3) 729
4) 16 or 2^4
5) 117,649 or 7^6
6) 5.29 or 2.3^2
Not sure what 7-12 mean
13) 1 mile 64-63=1
14) Mali bought a new car. She drove 63 miles the first month and 100 the second month. How much further did she drive the second month? Explain each step. 37 miles 100-63=37
15) An exponet is a number raised to a power, which means that number times itself that many times. It is used because it's alot easier to go 7^6 than 7x7x7x7x7x7.
16) 8^5= 32,768 6^6= 46,656 5^7= 78,125 5^5= 3,125 4^10= 1,048,576
Step-by-step explanation:
The first truck carries 35 tons less rice than the second truck. The number of paddy in the first truck is 2/3 of the amount in the second truck. How many tons of paddy does each cart hold?
Answers
Answer:
First truck = x
Second truck = y
x + 35 = y
x = 2/3y
So
2/3y +35=y
1/3y = 35
y = 35*3
y = 105
And ,
x = 2/3y = 70
The first truck carry 70 tons while the second carry 105 tons
Let the amount the first truck can carry be xLet the amount the second can carry be y
If the first truck carries 35 tons less rice than the second truck, then;
x = y - 35
If the number of paddy in the first truck is 2/3 of the amount in the second truck
x = 2/3 y
Equate both to have:
2/3 y = y - 35
2/3y - y = -35
-y/3 = -35
y = 105
Since x = 2/3 y
x = 2/3 * 105
x = 70
Hence the first truck carry 70 tons while the second carry 105 tons
Laern more on equations here: https://brainly.com/question/16863577
List three negative numbers that are greater than -9
Answers
Answer:
use these and choose 3 your welcome
Does anybody have the answer to this???? Thank You
Answers
Answer:
Step-by-step explanation:
h(4)=2w+3
4=2w+3
Collect like terms (c. I. T)
4-3=2w
1=2w
Divide both sides by 2(d.b.s)
1/2=2w/2
0.5=w
h=0.5w
4.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
y = −3x^2 − 29x + 30
A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30
B. linear function; linear term: −29x; constant term: 30
C. linear function; linear term: −26x; constant term: −24
D. quadratic function; quadratic term: 4x^2; linear term: −26x; constant term: −24
Answers
Answer:
A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30
Step-by-step explanation:
this is a quadratic function
quadratic term is -3x^2 , linear = -29x and constant = + 30.
Answer:
Quadratic term = (-3x²)
Linear term = (-29x)
Constant term = 30
Step-by-step explanation:
We have to classify the function as linear or quadratic.
Linear function ⇒ Is a function in which highest degree of variable is one.
Quadratic function ⇒ Is a function in which highest degree term or variable is 2.
Therefore, in the given function y = -3² - 29x + 30, (-3x²) is the highest degree term with the degreeof 2.
So the given function is quadratic.
In this function Quadratic term = (-3x²)
Linear term = (-29x)
Constant term = 30
What is the perimeter of PQR? Show your work.
Answers
Answer:
They are similar triangles so the sides are equal
3y-2=y+4
2y=6
y=3
so we can insert y=3 to calculate the side length
3y-2=3*3-2=7=PR side
calculate the perimeter:
4+6+7=17ft
Step-by-step explanation:
Add the lengths.of all sides together
4+6+(3y-2)
= 4+6+3y-2
=8+3y ft
I desperately need this answer. Thank You so much and have a great day
Answers
Answer: D.25
Step-by-step explanation:
Since they gave you P(10) You'll have to substitue 10 wherever you see the variable 10.
2(10)+5
2(10)=20
20+5+25
Answer:
25
Step-by-step explanation:
Since they're asking you to find the value of p(10) when t is 10, you would substitute t out for 10 in the function and then solve.
p(10)=2(10)+5
p(10)=20+5
p(10)=25
Please help me please 38
Answers
Answer:
8 inches
Step-by-step explanation:
Area of a triangle:
[tex]a=bh/2[/tex]
We're given 2 variables already, area and base, so we just need to plug those in and solve for the 3rd variable.
[tex]40=10h/2\\40=5h\\8 = h\\h = 8[/tex]
Answer:
8
Step-by-step explanation:
a right triangle is half of a square, so (10*8)/2=10*4=40.
What is the product of 2x + y and 5x - y + 3?
Answers
answer: 10x² - y² + 3xy + 6x + 3y
.
1/2 of David's money is
2/3 of Henry's money.
(a) Express David's money as a fraction of Henry's money
Answers
Answer:
80
Step-by-step explanation:
math
Work out
(
7
×
10
−
3
)
−
(
4
×
10
−
5
)
Give your answer in standard form.
Answers
Answer:
32
let me know if its correct!
How much water can the large water hold?
Answers
Answer:
700 ml
Step-by-step explanation:
If the 15cm bottle holds 500ml of water, you can create the ratio of 15:500, which simplifies to 3:100.
Since the second bottle is 21cm, you find 21:x.
Because you already have 3:100 as given from the first bottle, if you multiply both sides by 7 you get 21:700.
This means the second bottle holds 700ml.
Answer:
700 mi of water
Step-by-step explanation:
We can divide 21 by 15 to how many times greater they are to each other
21÷15=1.4
Since the 15 cm bottle of water can hold 500 mi we multiply 500 • 1.4 = 700mi
Brainliest please