Which of the following expressions correctly describes Completing the Square?
Answers
The expression that correctly describes completing the square is;
Option C; x² + ax + (a/2)²
Let's say we have an expression;
x² + ax + c = 0
Let us first rearrange to get;
x² + ax = -c
Add (a/2)² to both sides to get;
x² + ax + (a/2)² = -c + (a/2)²
Thereafter, we can simplify the left hand side to give; (x + a/2)² = -c + (a/2)²
But from the given options, the only one with a corresponding step with what we have is option C which is x² + ax + (a/2)²
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Related Questions
PLS HELP ASAP ILL GIVE BRAINLKEST
Answers
Answer:
Its the bottom one x>5
Step-by-step explanation:
i need help please, i need the answer now!
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Which of the following rules could represent the function shown in the table?
Answers
Answer:
f(x) = 2x + 1.
Step-by-step explanation:
In order to determine the function rule for the given table of values, we must start by finding the slope or the rate of change. Choose two ordered pairs from the table: (0, 1) and (1, 3).
Let (x₁, y₁) = (0, 1)
(x₂, y₂) = (1, 3)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (3 - 1)/(1 - 0)
m = 2/1 = 2
Therefore, the slope of the function is, m = 2.
Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ). From the given table of values, the y-intercept is (0, 1), for which its y-coordinate is the value of b = 1.
Therefore, the function rule that represents the given table of values is:
f(x) = 2x + 1.-4x-3y=5 3x-2y=-8 Solve by substitution
Answers
Answer:
look at the picture ..........
Answer:
y=1
x=-2
Step-by-step explanation:
Lets use substitution for the first equation:
-4x=5+3y
Divide by -4 on both sides : x=-5/4-3/4y
Now we substitute x into the second equation:
3(-5/4-3/4y)-2y=-8
Simplify : -15/4-9/4y-2y=-8
Combine Like Terms : -15/4-17/4y=-8
Isolate the Variable : -17/4y=-17/4
y=1
Now we get that x is -5/4-3/4, which is -8/4=-2
x=-2
please help i'm so confused
P: It's sunny.
Q: It's snowing.
R: It's not raining
Translate the following symbols: ~ RAQ
O If it's raining, then it's snowing.
O If it's not raining, then it's sunny.
O It's raining and it's snowing
O It's raining or it's snowing
Answers
Answer:
if it's bot raining, then it's sunny
I NEED HELP ON 2 PLEASEEEEEEEEE
Answers
Answer:
294
Step-by-step explanation:
Scale factor is 3.5 (If you go from the smaller image to the bigger image).
7 x 3.5 = 24.5 feet
since the question is asking you for the answer in inches you have to multiply 24.5 by 12 which gives you 294
PLZZZ HELP FOR BRAINLIST
Answers
Answer:
I D K GUESS ITS 1 2 4 I GUESS THINKING
Step-by-step explanation:
which absolutely value inequality represents the given graph? A. |-3x| < 15 B. |-3| > 15
Answers
Answer:
B.|-3x| > 15
Step-by-step explanation:
g(n)=n^2-4
h(n)=4n+5
find g°h
Answers
Answer: g(4n+5) = 16n^2 + 40n + 30
Step-by-step explanation:
g(n)=n^2-4
h(n)=4n+5
find g°h
g°h is g(4n+5) = (4n+5)^2 + 5
g(4n+5) = (16n^2 + 40n + 25) + 5
g(4n+5) = 16n^2 + 40n + 30
Please help I don’t understand
Answers
Answer:
The value of x so f (x) = 7 is 5.
Step-by-step explanation:
If x # y = 2x + y, then 1 # 2 =
Answers
Answer:
1 # 2 = 4
Step-by-step explanation:
1 # 2 = 2*1 + 2 = 2 + 2 = 4
Write the word sentence as an inequality.
A number b
multiplied by −5
is at most −34
.
Answers
Answer:
-5b <= -34
Step-by-step explanation:
The inequality phrase, "at most" is same as "less than or equal to". So the algebraic inequality would be -5b <= -34. To solve for b, divide both sides by -5 and make sure to switch the inequality symbol to >= when dividing or multiplying inequalities by a negative number. So b >= 34 / 5.
heeeeeyyyyy someone can aswer plz? Thx
Answers
Answer:
b)
x=65+32 [ being ext. angle of triangle is equal to the sum of two opposite interior angle]
therefore x=97°
Bobby and Garnetta thought of four consecutive odd integers such that 5 times the sun
of the first and the third was 22 greater than the product of 8 and the sum of the second
and the fourth. Find the numbers.
Answers
The four consecutive odd numbers are - 11, - 9, - 7, - 5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let the four consecutive integers be n, (n + 2), (n + 4), and (n + 6).
Given, 5 times the sum of the first and the third was 22 greater than the product of 8 and the sum of the second and the fourth.
∴ 5(n + n + 4) = 8(n + 2 + n + 6) + 22.
5(2n + 4) = 8(2n + 8) + 22.
10n + 20 = 16n + 64 + 22.
10n - 16n = 86 - 20.
- 6n = 66.
n = - 11.
So, The numbers are - 11, - 9, - 7, - 5.
learn more about numerical expressions here :
https://brainly.com/question/29199574
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State the reaction type and then balance equation __Na3PO4+___HCI=__H3PO4+__NaCl
Answers
Balanced reaction:
[tex]\text{Na}_3 \text{PO}_4 + 3\text{HCl} \longrightarrow \text{H}_3 \text{PO}_4 + 3\text{NaCl}[/tex]
The reaction type is double replacement.
There are four springs stretched by the same mass.
Spring A stretches 25 cm.
Spring B stretches 10 cm.
Spring C stretches 100 cm
Spring D stretches 1 cm.
Which spring has the largest spring constant?
Ο Α
O B
O C
O D
Answers
Answer:
C is my answer
You cam correct me if im wrong in the comments
A plane flies from San Francisco to New York City at 600 miles per hour and returns along the same route at 400 miles per hour. What is the average flying speed for the entire route (in miles per hour)
Answers
Answer: 500 i think
Step-by-step explanation:
Here we go another question i'm asking you guys to help me with because i don't understand this!
Answers
Answer:
1. Less Than
2. Greater Than
Step-by-step explanation:
You know that 1/2 is equal to 4.5/9
So, 2/9 would be less than 1/2.
You know that 1/2 is equal to 5/10
So, 9/10 is greater than 1/2.
Compare each fraction by setting each fraction to the same denominator.
HELP PLEASE ITS HARD
Answers
Answer:
the answer to your question is 9cm² for the Area
the answer is 9 cm square
Evaluate.
-|4ab- cl for a = -6, b = 3, and c = 2
A -74
B -70
C 70
74
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{-|4ab - c|}}\\\large\boxed{\mathsf{= - |4(-6)(3) - 2|}}\\\large\boxed{\mathsf{= -|(-24)(3) - 2|}}\\\large\boxed{\mathsf{= -|-72 - 2|}}\\\large\boxed{\mathsf{= - |-74|}}\\\large\boxed{\mathsf{= |-74|}}\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A. -74}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\large\boxed{\heartsuit\ \frak{Amphitrite1040:)\ }\heartsuit}[/tex]If you made equal monthly payments how much would you need
Answers
Answer:
For example, a borrower takes a $100,000 loan with a 6% annual interest rate for three years.
Step-by-step explanation:
Have a GREAT DAY !
Last week it snowed 4.32 inches on Monday and 6.86 inches on Tuesday. It Snowed 7.89 inches this week.
How much more did it snow last week than this week?
01.03 inches
O 2.54 inches
0 3.29 inches
O 3.57 inches
Answers
Answer:
3.29
Step-by-step explanation:
4.32+6.86=11.18
11.18-7.89=3.29
PLEASE HELP!!
Rewrite the equation to represent the resistance of resistor 2, R2, in terms of RT and R1; see image below :
Answers
Rewriting the equation, it is found that the resistance [tex]R_2[/tex] is given by:
[tex]R_2 = \frac{R_TR_1}{R_1 - R_T}[/tex]
The equation given for [tex]R_T[/tex] as function of [tex]R_1[/tex] and [tex]R_2[/tex] is:
[tex]R_T = \frac{R_1R_2}{R_1+R_2}[/tex]
Applying cross multiplication:
[tex]R_TR_1 + R_TR_2 = R_1R_2[/tex]
[tex]R_1R_2 - R_TR_2 = R_TR_1[/tex]
[tex]R_2(R_1 - R_T) = R_TR_1[/tex]
[tex]R_2 = \frac{R_TR_1}{R_1 - R_T}[/tex]
A similar problem is given at https://brainly.com/question/24272167
Ms. Neville has 75 papers. she graded 60 papers, and she had a student teacher grade the rest. What percent of the papers did each person grade?
Answers
Answer:
Ms. Neville graded 80% of the papers and the student teacher graded 20% of them.
Step-by-step explanation:
Given a total of 75 papers, and Ms. Neville graded 60 of them, 15 remain for the student teacher. 75 - 60 = 15
Ms. Neville graded 60/75 = 0.8 = 80% of papers.
The student teacher graded 15/75 = 0.2 = 20% of papers.
Sanity check: 80% + 20% = 100%
hallar el factor comun por agrupacion de terminos de los siguientes ejercicios
a.3m[tex]2^{2}[/tex]
b.
c.
d.
e.
f.
g.
h.
i.
Answers
Answer:
No factorizable, está en su forma más simple
Step-by-step explanation:
Find the common factor by grouping the terms of the following exercises
3m[tex]2^{2}[/tex] --> Not factorable, is in simplest form.
Hallar el factor comun por agrupacion de terminos de los siguientes ejercicios
3m[tex]2^{2}[/tex] --> No factorizable, está en su forma más simple.
--------------------------------------------------------------------
Explicación: Solo puede factorizar, o simplificar, una ecuación o solo variables, si la variable que tiene un exponente tiene la misma base que otra variable, como x ^ 2 y x ^ 3, puede simplificarla ax ^ 5. Ahora, en este problema tenemos un 3, y 2 ^ 2, en el 2 ^ 2, 2 es la base y el otro número es 3, que definitivamente no es la misma base, por lo que no puede factorizarlo más, y deje la variable a lo largo.
A sporting goods store is having a 15% off sale on all items. Which functions can be used to find the sale price of an item that has an original price of x ? You may choose more than one correct answer.
y = .85 x
ƒ( x ) = 1.15 x
Sale = Original - 15
ƒ( x ) = x - .15 x
Sale = Original - .15(Original)
Answers
Answer:
the answer is f(x) =x-0.15x
Step-by-step explanation:
Explanation - Taking 15% off is the same thing as only charging 85% so both D and E are correct
Shandra bought some belts online for $67. She used a coupon code to get a 20% discount. The website also applied a 5% processing fee to the price after the discount. How much was the discount, in dollars and cents?
Answers
Answer:
14.07
Step-by-step explanation:
First we need to add 5 percent to the 67 dollar cost. Which makes the price 70 dollars and 35 cents. 20 percent of 70.35 is 14.07 so the discount is 14.07
Hope this helps
Fave food. THIS IS FOR A GRAPH, PLEASE JUST COMMENT.
Answers
A stick 1 meter long casts a shadow 0.6 meters long. A building casts a shadow 25 meters long. How tall is the building (to 2 decimal places)
Answers
Answer:
41.67
Step-by-step explanation:
Using the tangent on the stick with shadow:
tan(θ) = [tex]\frac{1}{0.6}[/tex]
Using the tangent on the building:
tan(θ) = [tex]\frac{h}{25}[/tex]
⇒ h = 25 · tan(θ)
= 25 · [tex]\frac{1}{0.6}[/tex]
⇒ h = 41.66... ≈ 41.67
if f(x)= -13, find x
Answers
no solution .