Answer:
C
Step-by-step explanation:
Given
x² - 2x + 2 = 0 ( subtract 2 from both sides )
x² - 2x = - 2
To solve use the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 1)x + 1 = - 2 + 1
(x - 1)² = - 1 ( take the square root of both sides )
x - 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 1 to both sides )
x = 1 ± i , then
x = 1 + i or x = 1 - i → C
36^x-2=6 solve for x
Answer:
x = [tex]\frac{in (8)}{in (36)}[/tex] if you consider doing decimal form x = 0.58027921. . .
Step-by-step explanation:
Take logarithm of both sides of the equation to remove the variable from the exponent.
Representar las rectas a, b y c y determinar si son paralelas (o perpendiculares) dos a dos. A: y=−3x+5 | b: y =x/3+2 | c: y=−3x+1
Answer:
A y C: paralelas
B y A: perpendiculares
B y C: perpendiculares.
Step-by-step explanation:
Sea una recta:
f(x) = a*x + b
Donde a es la pendiente y b es la ordenada al origen.
Otra recta va a ser paralela a esta si tiene la misma pendiente, pero una diferente ordenada al origen, por ejemplo:
g(x) = a*x + c
Y una recta perpendicular a f(x) tendría una pendiente p = -(1/a)
Entonces podemos escribir la línea perpendicular a f(x) como:
h(x) = -(1/a)*x + c
Ahora veamos nuestras líneas:
A(x) = y = −3*x+5
B(x) = y = x/3+2 = (1/3)*x + 2
C(x) = y = -3*x + 1
Primero veamos cuáles son paralelas:
A(x) y C(x) tienen la misma pendiente (-3) y diferente ordenada al origen, entonces A y C son paralelas.
Sabiendo que la pendiente de A y C es -3, una línea perpendicular a esta tendría una pendiente:
-(1/-3) = 1/3
Que es justamente la pendiente que tiene la línea B, entonces podemos concluir que B es perpendicular a las líneas A y C.
A y C: paralelas
B y A: perpendiculares
B y C: perpendiculares.
Please help me ASAP!!
Answer:
n = 6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
you can create this proportion:
18/n = n/6
cross-multiply:
n² = 108
n = [tex]\sqrt{108}[/tex]
[tex]\sqrt{108}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{9}[/tex]·[tex]\sqrt{3}[/tex] = 2·3·[tex]\sqrt{3}[/tex] or 6[tex]\sqrt{3}[/tex]
What is0.4¯ expressed as a fraction in simplest form?
Answer:
4 as a fraction is 2/5. Here you can submit another decimal number for us to convert to a fraction. Check out the next decimal number on our list that we converted to a fraction.
Step-by-step explanation:
pls mark me brainless to feed my frogs
Answer:
2/5
Step-by-step explanation:
A number is added to ⅔ of itself.
If the same number is doubled,
write down the final expression.
Answer:
4/3
Step-by-step explanation:
⅔ + ⅔ = 4/3
Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5.00 for rolling a 1 or a 6, nothing otherwise. What is your expected value?
A. $5.00
B. –$1.33
C. $3.00
D. –$3.00
Answer:
I would say D
Step-by-step explanation:
I say D because there is only a 2/6 chance of getting the 5 bucks so it's more likely to get no money back and lose the 3 bucks
Carl has $25.00 to spend o six packs of soda for the dance. If the cost of one-six pack is $2.50, which inequality could be used to represent this relationship?
Answer:
25 ≤ 2.5n
Step-by-step explanation:
Total budgeted amount = $25
Cost per pack of = $2.50
To represent the relationship using inequality :
Let the Total number of packs purchased = n
Hence,
Total budgeted amount ≤ (cost per pack * number of packs)
25 ≤ 2.5n
This means the total actual purchase made should be less than or equal to the budgeted amount.
A, B & C lie on a straight line. D, C & E lie on a different straight line. Angle y = 117° and angle z = 63°. Work out x
Consider the below figure attached with this question.
Given:
A, B & C lie on a straight line. D, C & E lie on a different straight line.
[tex]\angle y=117^\circ,\angle z=63^\circ[/tex]
To find:
The value of x.
Solution:
A, B & C lie on a straight line.
[tex]m\angle ABD+m\angle DBC=180^\circ[/tex] (Linear pair)
[tex]y+m\angle DBC=180^\circ[/tex]
[tex]m\angle DBC=180^\circ-y[/tex]
According to the exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.
[tex]m\angle DBC+m\angle BDC=m\angle BCE[/tex] (Exterior angle theorem)
[tex]180^\circ-y+z=x[/tex]
[tex]180^\circ-117^\circ +63^\circ =x[/tex]
[tex]126^\circ =x[/tex]
Therefore, the value of x is 126 degrees.
please help me solve 8x+2y=32 and 10x-5y=-20
its solve by subsitution
please include steps and answers
Answer:
(2,8)
x = 2
y = 8
Step-by-step explanation:
The steps are shown in the picture
o Explain "set"
2 list the tyres Or Set
3 What is a Circle?
a List the properties of a Circle
Сл
Answer:
3) A circle Is a locus of a moving point which moves from equal distance in q fixed path.
What is the median value of the data set shown on the line plot?
HELP ASAP
Answer:
Median: 6
Step-by-step explanation:
1,2,3,3,4,4,5,5,5,6,6,6,6,7,7,7,8,8,8,9,9,11
half of 22 (total numbers) is 11, on the 11th spot it is 6
Elizabeth is going to invest $480 and leave it in an account for 8 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Elizabeth to end up with $670?
Answer:
4.2
Step-by-step explanation:
took a bullet for the team
Elizabeth would need an interest rate of 4.25% to make a profit of $670, to the closest hundredth of a percent.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.
Given, Elizabeth is going to invest $480 and leave it in an account for 8 years.
from the formula of compound interest
A = P(1 + r/n) ^nt
in our case,
A =670
P = 480
t = 8
Thus,
670 = 480(1 + r)^8
r = 4.25%
Therefore, an interest rate, to the nearest tenth of a percent, would be 4.25% required in order for Elizabeth to end up with $670
Learn more about compound interest here:
https://brainly.com/question/29335425
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Which of the following are binomiola? Check oll that apply
A. x + 2
B. x+3/x
C-x^10
D. x^7
E x^2 + 18
F.x
a Binomial is 2 terms
so the solution is
A
B
E
Answer:
A, B, and E
Step-by-step explanation:
Binomials are equations that consist of two terms.
PLZ HELP! BRAINLIEST IS ON THE LINE!!!!!!!!!!!!!!!!
.. .. ..
Answers:
-97.7-36.50.06Hope this helps!
--Applepi101
PLS help plssss 30 points plssss and how how u know it’s math plssssss helppppp plsssss
Answer:
Complementary angles sum to 90°
x + 73° = 90°x = 90° - 73°x = 17°30% of the 90 students in sixth grade are in the drama club. How many sixth graders are in the drama club?
Answer:
27
Step-by-step explanation:
Multiply 90 by 0.3 and you have your answer
Can someone please help me with this question?
Which of the following expressions are equivalent?
A) 2(x + 3) - 2
B) 2x + 4
C) 3(x + 3) - x - 5
Simplify A:
2(x+3)-2
Use distributive property:
2x+6-2
Combine like terms:
2x+4
This is the same as B.
A and B are equivalent.
5.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
A. 1/150 dollars per day; the cost is $1 for 150 days.
B. 25/1 dollars per day; the cost is $25 for each day.
C. 1/25 dollars per day; the cost is $25 for each day.
D. 75/1 dollars per day; the cost is $75 for each day.
Answer:
B
Step-by-step explanation:
75 divided by 3 = 25
so 25 dollars each day
Answer:
B. 25/1 dollars per day; the cost is $25 for each day.
Step-by-step explanation:
-2 log5 (7x) = 2........
Answer:
Answer is x= 1/35
Step-by-step explanation:
......
Felix invested $10,000 into a retirement account in 2010. He then projected the amount of money that would be in the account for several years assuming that the interest will compound continuously at an annual rate. Later, when he looked back at the data, he could not recall the annual he used for the projections. Use the data below to determine the annual rate as a percent. (Remember use A=Pert for continuous interest problems where P=initial amount invested, r is the interest rate as a decimal and t is the time in years).
Answer:
0.068% or 6.8% this will be your final answer
A teenager can wash 2 tables per minute. Write an expression for how many tables they can wash in m minutes. *
Answer:
2m = x
x being the number of tables
Step-by-step explanation:
2 tables = 1 minute
x tables = m
(cross multiply)
2m = x
x being the number of tables
help me please
:)
i really need it
Answer:
3.5 qt or 3 qt and 2c
Step-by-step explanation:
4 cups makes 1 quart
14/4 = 3.5
Find the value of x and y that will make each quadrilateral a parallelogram.
Answer:
to solve for x. So, x = 4 and y = 3. COORDINATE GEOMETRY Graph each quadrilateral with the given vertices. Determine
what is summer academy help fr fr ☝️
Answer:
Summer school (or summer university) is a school, or a program generally sponsored by a school or a school district, or provided by a private company, that provides lessons and activities during the summer vacation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Help due in 10 minutes
Answer:
II and III are right
Step-by-step explanation:
The reason I is wrong is the zeros are (-2, 0) and (4, 0)
Carlos went and purchased a new mattress for $644.80, including tax. He
made a down payment of $200 and plans to pay the balance off in 5 equal
monthly payments. What will Carlos monthly payment be for this mattress?
a $88.96
X $168.96
C$7413
d. $128.96
Which fractions are equivalent to the fraction below? Check all that apply.
9/21
A.3/22
B.18/42
C.3/7
D.3/28
Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand this.
Answer:
3rd Answer =Option A is the Correct Answer
Step-by-step explanation:
Hi!
3. Maria bought 5 bottles of juice, each being 750 milliliters. She bought 3,750 milliliters of juice in total (750 x 5 = 3750). 3750 milliliters is equal to 3.75 liters. Lori bough 4 liters of juice. So, the correct sentence is A. Lori bought 0.25 liter more juice than Maria.
4. The trail is 3 [tex]\frac{1}{4}[/tex] miles long. Converted to feet, 3 [tex]\frac{1}{4}[/tex] miles is 17,160 feet. Your answer would be D.
Hope this helps! I would appreciate brainliest, if not that's okay!!
A rectangular garden has dimensions of 100ft by 10ft next season the garden is decreased by 2/3 of its size what is the scale of the new drowning
The qyaeriin has no attached diagram. A related diagram was found and used to provide the steps required to solve the problem.
Answer:
1 inch = 8.333 feets
Step-by-step explanation:
Initial dimension of rectangle :
100 feets by 10 feets
Fractional decrease in garden = 2/3
New Dimension of garden :
2/3(100 feets) by 2/3(10 feets)
66.667 feets by 6.6667 feets
Hence
From the picture attached :
8 inch = 66.667
1 inch = 8.333
The new scale of the drawing = 1 inch = 8.333 feets
7/6 written as a mixed number
Answer:
1 1/6
Step-by-step explanation:
A mixed number is a proper fraction.
Answer:
[tex]1\frac{1}{6}[/tex]
Step-by-step explanation:
We are given the fraction of [tex]\frac{7}{6}[/tex].
There are enough parts to make one whole, with one remaining.
Six sixths for the whole, the fraction would be one-sixth.
[tex]\frac{7}{6}=1\frac{1}{6}[/tex]
Hope this helps.
