Answer:
[tex](x-3)^2=5[/tex]
Step-by-step explanation:
[tex]x^2-4x+4=2x[/tex]
[tex]x^2-4x+4-2x=2x-2x[/tex]
[tex]x^2-6x+4=0[/tex]
[tex]x^2-6x=-4[/tex]
[tex]x^2-6x+9=-4+9[/tex]
[tex](x-3)^2=5[/tex]
Solving:
[tex]x-3=\pm \sqrt{5}[/tex]
[tex]x=3 \pm \sqrt{5}[/tex]
An equation is formed when two equal expressions. The equation by completing the square can be rewritten as (x-3)²=5.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation can be rewritten in the equation form by completing the square as,
x² - 4x + 4 = 2x
Bring the like terms on the same side of the equation,
x² - 4x - 2x + 4 = 0
Simplify the like terms of the equation,
x² - 6x + 4 = 0
Add positive 5 to both sides of the equation,
x² - 6x + 4 + 5 = 5
Solve the like terms,
x² - 6x + 9 = 5
Using the binomial property (a-b)²=a²+b²-2ab, x² - 6x + 9 can be written as,
(x - 3)² = 5
Hence, the equation by completing the square can be rewritten as (x-3)²=5.
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Removing which ordered pair from the table would make the relation a function of x?
PLZ HELP! WILL MARK BRAINLIEST!! Rewrite the function in standard form, y = ax² + bx + c, and identify the y - intercept.SHOW WORK! y = 9(x - 8)² + 17
Answer:
[tex]\huge\boxed{y=9x^2-144x+593}[/tex]
Step-by-step explanation:
[tex]y=9(x-8)^2+17\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\y=9\bigg(x^2-2(x)(8)+8^2\bigg)+17\\\\y=9(x^2-16x+64)+17\qquad\text{use the distributive property}\\\\y=(9)(x^2)-(9)(16x)+(9)(64)+17\\\\y=9x^2-144x+576+17\\\\y=9x^2-144x+593[/tex]
With a budget of $250, you have decided to open a snack shop on campus. You can only choose 4 items to sell in your shop (2 salty and 2 sweet). But, you can purchase multiple cases of each snack you choose. You must make sure to purchase at least 500 items. This project will help you to decide which options will be best for your store. You will also explore the potential profit you could make.Remember to refer to the background information given in the instructions.
Step-by-step explanation:
800 is the correct answer
Answer:
800
Step-by-step explanation:
because you would have to get multiple items
Tell whether the equation has one, zero, or infinitely many solutions 8(x – 5) + 36 = 7x – 2
Answer:
jroteejktrsafh❤️♥️❣️❣️♥️♥️☘️
In the figure shown, FG is tangent to circle D. HELP ASAP!!
Answer:
B
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
If a radius of a circle and a tangent to a circle intersect at the point of tangency, then the radius and the tangent are perpendicular.
Answer: B.
1.4-28/x
Solve for x
Answer:
20
Step-by-step explanation:
1.4-28/x = 0
bring 1.4 to the right hand side
-28/x = -1.4
bring the x to the right hand side
-28 = -1.4x
switch the positions of -28 and -1.4x
-1.4x = -28
divide -28 by -1.4
x = -28/-1.4
x = 20
Evaluate - 2y + x(-3)
When x = -5 y = 3
Answer:
27
Step-by-step explanation:
2(6) + -5(-3)
= 12+15
= 27
which expression is a factor of this polynomial x^3+2x^2-9x-18
a(x-2)
b(x+1)
c(x+2)
d(x-6)
please hurry
Answer: (x+2)
Step-by-step explanation:
The factor of the polynomial expression is "(x+2)".
Polynomial expression:[tex]\to x^3+2x^2-9x-18[/tex]
factor=?
[tex]\to x^3+2x^2-9x-18=0\\\\\to x^2(x+2)-9(x-2)=0\\\\\to (x+2)(x^2-9)=0\\\\\to (x+2)(x^2-3^2)=0\\\\\to (x+2)(x-3)(x+3)=0\\\\[/tex]
Therefore, the answer is "[tex](x+2)[/tex]".
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Question 1
Solve:
|2x - 1= 5
Answer:
i believe that it is x = 3
Step-by-step explanation:
hope this helps :)
Answer:
hope this helped you
please mark as the brainliest (ㆁωㆁ)
The school that Stefan goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 1 senior citizen ticket and 14 student tickets for a total of $225. The school took in $120 on the second day by selling 7 senior citizen tickets and 1 student ticket. What is the price each of one senior citizen ticket and one student ticket?
x = price of a senior ticket
y = price of a student ticket
First day: x + 14y = $225
Second day: 7x + y = $120
Let's solve this system of equations by substitution
Subtract 14y from both sides on our first equation
First day: x = $225 - 14y
Substitute this value into our second equation for x
7($225 - 14y) + y = $120
Distribute the 7
$1575 - 98y + y = $120
Combine like terms
$1575 - 97y = $120
Subtract $1575 from both sides
-97y = -1455
Divide both sides by -97
y = $15
Plug this value into our first equation
x + 14(15) = $225
Simplify
x + $210 = $225
Subtract $210 from both sides
x = $15
The senior and student tickets cost $15
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Given :
Electronic configuration of an electron :
[tex]1s^2\ 2s^2\ 2p_x^2\ 2p_y^2\ 2p_z^2\ 3s^2 \ 3p_x^2\ 3p_y^2\ 3p_z^2[/tex] .
To Find :
The element having such an electronic configuration .
Solution :
We know , the sum of all the power of s and p in all the orbit gives total number of atoms in elements .
So , atomic number is :
[tex]Z=2+2+(2+2+2)+2+(2+2+2)\\\\Z=18[/tex]
Since , the atomic number is 18 .
Therefore , the element is Argon .
Hence , this is the required solution .
h(x) = 3x - 4What is h(6)?
5
14
Please someone help I need this done quick
Step-by-step explanation:
f(x) = x² - 2x - 3
g(x) = 4x²
f(g(x)) = f(4x²)
f(4x²) = (4x²)² - 2(4x²) - 3
= 16x⁴ - 8x² - 3
I NEED HELP PLEASE PLEASE I NEED HELP BADLY HELP ME !!
Answer:
x=(y+b)/m
Step-by-step explanation:
y=mx+b
y+b=mx
(y+b)/m=x
write each fraction or mixed number as a decimal. 2/5
Answer:
2 / 5 = 0.4
1 / 5 = 0.2
3 / 4 = 0.75
3 / 5 = 0.6
What is the slope of the line that contains the points (-2, 7) and (2, 3)? O A. -4 OB. 4 O C. -1 O D. 1 SUBM
Answer:
- 1
Step-by-step explanation:
[tex]slope = \frac{3 - 7}{2 - ( - 2)} = \frac{ - 4}{2 + 2} = - \frac{4}{4} = - 1 \\ [/tex]
The slope of the line that contains the points (-2, 7) and (2, 3) is -1.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have the points (-2, 7) and (2, 3).
So, the slope of line
= (3 -7)/ (2- (-2))
= (-4) / (4)
= -1
So, the slope of line is -1.
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3-2(1+2)?
1 (1+2)
1+2
3
Answer:
your method is wrong, final answer should be -3
Step-by-step explanation:
symbols are used in the order of bracket first, then multiplication and division, then addition and subtraction
i.e.
3 - 2(1 + 2)
= 3 - 2(3)
= 3 - 6
= -3
Answer:
=-3
Step-by-step explanation:
Select the Correct Answer Consider the following Equation 12w - 27 = -34 + 14 Which Equation has the same solution as the equation given above?[tex]A. -2w + 21 = -8w + 36\\B. -\frac{5}{6} w + 2 = -34 + 14w\\C. -47 - 10w = -9w -40 - 3w\\D. \frac{9}{7} w = \frac{13}{14} w + 2[/tex]
The larger of two consecutive ODD numbers is one less than twice the smaller number. Find the larger of the two numbers.
Answer:
5Step-by-step explanation:
z - any integer
2z+1 - any odd integer (the smaller one)
2z+1+2 = 2z+3 - odd integer consecutive to 2z+1 (the larger one)
2(2z+1) - twice the smaller number
2(2z+1) - 1 - one less than twice the smaller number
2(2z+1) - 1 = 2z + 3
4z + 2 - 1 = 2z + 3
2z = 2
z = 1
2z+3 = 2•1+3 = 5
check:
2z+1 = 2•1+1 = 3,
2(2z+1)-1 = 2(2•1+1)-1 = 2•3-1 = 5 = 2z+3
Find the area of the triangle defined by E = (-2, 8), W = (11, 2), and S = (-2, -4). Now find the area of triangle WLS where L is (-2, 0).
Answer:
This question i think google could help you if not more then brainy if u don't get a answer fast enough
Step-by-step explanation:
hope i helped u a little bit i know i didn't have a answer.
how do you writ 1.660 in scientific notation
Answer:
[tex]1.66 * 10^{0}[/tex]
Step-by-step explanation:
1.660
we would only move the decimal point once.
1.66 * 10^0
10^0 = 1
For each of the last three years, your landscaping business has made a profit of $1,200; $2,100; and $3,400. How much total profit did your business make in the last 3 years?
O $5,670
O $6,070
O $6,700
O $7,600
O $7,650
Answer:
The answer would be $6,700
Which of the following numbers is closest to 10?
A. 98
B. 99
C. 102
D. 97
Answer: 99
Step-by-step explanation:
A_P_E_X approved need proof here is an imagine
my friend is having trouble with some algebra 2, pls help !
Answer: 5
Step-by-step explanation:
The function is f(x)= -4x-3:
1) Substitute x with -2 to get: f(-2)= -4(-2)-3
2) Solve using P.E.M.D.A.S to get 8-3=5
Therefore, the answer is 5.
Tell whether the given value is a solution of the inequality.
15n > -3; n = -2
Answer: no
Step-by-step explanation:
How do you use 30 60 90 triangles
Describe the error in finding the length of AB.
B
cm
1
2.
3
4
5
6
X
AB= |1 + 4.5| = 5.5
O Should have added 5.5 instead of 4.5.
Should have measured to hundredths.
Should have subtracted instead of adding.
O Should have lined up ruler from the right side.
The actual length of the segment is
centimeters.
Answer:
first answer is correct
Is 13 a rational number? And why
Answer: A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers. The denominator in a rational number cannot be zero if you’re working with a number with a long line of different decimals, then your number is irrational! If you’re working with an integer or a number with terminal or repeating decimals (like 1.333333), then your number is rational! and 13 is a rational number since it can be written as a fraction as well like 13/1
Step-by-step explanation:
If y(x) = 2x-5, then f(4) is A. 17 B.5 C.4 D.3
Answer:
i think the answer is 3
Step-by-step explanation:
Find the length of the diagonal AD in the pentagon ABCDE shown in the coordinate plane. 5 units
Answer:
[tex]\sqrt{73}[/tex]units.
Step-by-step explanation:
We have given a pentagon ABCDE
We need to calculate its length
That means we have to find the distance of AD
So, coordinates of A(1,6) and D(4,-2)
Using distance formula:
Here,
On substituting the values we will get:
On simplification:
Hence, the length of AD is units.
