Evaluate the expression when x= -2.
х2+бх+9
Answer:
1
Step-by-step explanation:
x = - 2
x^2 + 6x + 9
= ( - 2 )^2 + 6 ( - 2 ) + 9
= 4 - 12 + 9
= 4 + 9 - 12
= 13 - 12
= 1
Let A be the set of all lines in the plane. Define a relation R on A as follows. For every l1 and l2 in A, l1 R l2 ⇔ l1 is parallel to l2. (Assume that a line is parallel to itself). Which of the following is true for R?
A. R is reflexive.
B. R is symmetric.
C. R is transitive.
D. R is neither reflexive, symmetric, nor transitive.
Answer:
Hence, the relation R is a reflexive, symmetric and transitive relation.
Given :
A be the set of all lines in the plane and R is a relation on set A.
[tex]R=\{l_1,l_2\in A|l_1 \;\text{is parallel to}\; l_2\}[/tex]
To find :
Which type of relation R on set A.
Explanation :
A relation R on a set A is called reflexive relation if every [tex]a\in A[/tex] then [tex](a,a)\in R[/tex].
So, the relation R is a reflexive relation because a line always parallels to itself.
A relation R on a set A is called Symmetric relation if [tex](a,b)\in R[/tex] then [tex](b,a)\in R[/tex] for all [tex]a,b\in A[/tex].
So, the relation R is a symmetric relation because if a line [tex]l_1[/tex] is parallel to the line [tex]l_2[/tex] the always the line [tex]l_2[/tex] is parallel to the line [tex]l_1[/tex].
A relation R on a set A is called transitive relation if [tex](a,b)\in R[/tex] and [tex](b,c)\in R[/tex] then [tex](a,c)\in R[/tex] for all [tex]a,b,c\in A[/tex].
So, the relation R is a transitive relation because if a line [tex]l_1[/tex] s parallel to the line [tex]l_2[/tex] and the line [tex]l_2[/tex] is parallel to the line [tex]l_3[/tex] then the always line [tex]l_1[/tex] is parallel to the line [tex]l_3[/tex].
Therefore the relation R is a reflexive, symmetric and transitive relation.
Solve using square roots: (x-6)^2=144
x^2-12x+36-144=0
x^2-12x-108=0
(x-18)(x+6)
X=18,-6
The data are from a small moving company that moves people from urban apartment buildings to other urban apartment building in the same or different cities. The company needs assistance in predicting the labor hours for jobs so they can provide more accurate price quotes.
Run two separate regressions using the data in the sections of the spreadsheet titled Regression Model 1 and Regression Model 2. Use a 95% confidence level.
Fill in all the blanks below. Do not round any numbers except for when entering them in the blanks for this quiz, round these numbers to exactly 2 decimal places even if the number has only one or no decimal places. Use commas to separate thousands (e.g., 1225 should be entered as 1,225.00).
Regression Model 1
R Square expressed as a percentage rounded and carried out to two decimal places is ________% and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is _______%. Refer to the spreadsheet embedded in your Module 14 Regression document I provided you to see the calculation and format for answering this next question. The gap between R Square and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is 0.______%.
The overall regression model (was / was not) _______ significant.
Using square footage of 1,500 and mileage of 92, the model estimates that ______ hours of labor would be required, with a margin of error of _________ hours.
Regression Model 2
R Square expressed as a percentage rounded and carried out to two decimal places is _______% and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is _______%. Refer to the spreadsheet embedded in your Module 14 Regression document I provided you to see the calculation and format for answering this next question. The gap between R Square and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is 0.________%.
The overall regression model (was / was not) __________ significant.
Using square footage of 1,500, mileage of 92, and floors of 71, the model estimates that _________ hours of labor would be required, with a margin of error of ________ hours.
Model Selection
Because the R Square is (higher / lower) _________ in regression model 1 than in regression model 2 and the gap between R Square and Adjusted R Square is (smaller / larger) in regression model 1 than in regression model 2 _________ and the margin of error of the estimated labor hours is (smaller / larger) _________ in regression model 1 than in regression model 2 , we would characterize regression model (1 or 2) ___________ as being the better model.
Answer:
I wish I can read all the text
The high school is 3.6 inches from the middle school on a map. Each half inch on the map represents 0.4 mile. What is the actual distance between the two schools?
2.88 miles
4.5 miles
7.2 miles
9 miles
Answer:
2.88 miles
Step-by-step explanation:
because 3.6/.5 = 7.2
then 7.2 × .4 = 2.88
[tex](w + \frac{4}{w} ) {}^{2} [/tex]
7 has been subtracted from the product of x and 7=
Answer:
7x - 7
Step-by-step explanation:
Product of x and 7 = 7x
7 minus 7x
7x - 7
Hence the expression is :
7x - 7
Jared has some birds and dogs in his backyard. He counts a total of 12 heads and 30 legs. How many birds and dogs are in Jared's garden?
Answer:
12, because both dogs and birds only have 12 heads
Suppose that only 2 percent of all people are geniuses. If an IQ test indicates that Albert is a genius, but the test is only accurate 90 percent of the time, then the probability that Albert really is a genius is roughly:
Answer:
P = 1,8 %
Step-by-step explanation:
From the whole population, only 2% are geniuses. But test results, are accurate 90 %. So the probability that Albert really is a genius is:
P = 0,02 * 0,9
P = 0,018 or P = 1,8 %
∫eˣ²dx find integral show all steps
Answer:
[tex] \int \: e {}^{x {}^{2} } dx \\ y = {e}^{ {x}^{2} } \\ ln(y) = {x}^{2} \\ \frac{dy}{y} = 2xdx \\ dy/2x = {e}^{ {x}^{2} } dx \\ \int \: d( {e}^{ {x}^{2} } ) = \int {e}^{ {x}^{2} } .2xdx \\ \frac{{e}^{ {x}^{2} } }{2x} = \int \: {e}^{ {x}^{2} } dx \\ \int \: {e}^{ {x}^{2} } dx \: = \frac{1}{2x} {e}^{ {x}^{2} } + c[/tex]
what is the estamate 1/4 of 16
Answer:
4
Step-by-step explanation:
1/4 of 16 is the same as 16 divided by 4. 16 divided by four is 4.
You want to open a checking account at your local bank which offers two options. A standard checking account charges $6 each month plus $.25 for each check written. A select checking account charges $4.50 each month plus $.50 for each check written. Which system of equations can be used to determine the number x of checks that must be written in a month in order for the total charges y for the two checking accounts to be the same?
Answer:
The total charges for the two checking accounts will be the same after 6 checks written.
Step-by-step explanation:
Since I want to open a checking account at my local bank which offers two options, a standard checking account that charges $ 6 each month plus $ 0.25 for each check written, and a select checking account that charges $ 4.50 each month plus $ 0.50 for each check written, to determine which system of equations can be used to determine the number X of checks that must be written in a month in order for the total charges Y for the two checking accounts to be the same, the following calculation must be performed:
6 + 0.25X = Y
4.5 + 0.5X = Y
6 + 0.25x5 = Y
4.5 + 0.5x5 = Y
6 + 1.25 = Y = 7.25
4.5 + 2.50 = 7
6 + 0.25x6 = Y
4.5 + 0.5x6 = Y
6 + 1.50 = Y = 7.50
4.5 + 3 = 7.50
Therefore, the total charges for the two checking accounts will be the same after 6 checks written.
Adam borrowed $16,780 at 12.5 percent for 10 years. What is his monthly payment?
A: $240.31
B: $245.83
C: $230.12
D: $229.81
ANSWER:
245.83
Step-by-step explanation:
16,780/100=167.8
167.8 x 1.465= 245.827
Using unitary method, Adam's monthly payment is 245.83 dollar.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Monthly payment with 12.5% interest rate for 10 years per 100 dollar is 1.465 dollar.
Monthly payment with 12.5% interest rate for 10 years per 1 dollar is 0.01465 dollar.
Monthly payment with 12.5% interest rate for 10 years per 16780 dollar is 1.465 * 16780 dollar = 245.83 dollar.
Learn more about unitary method here
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Ross has a board that is 12 feet long. He needs to cut the board into equal pieces that are 1/2 feet long. How many pieces can she cutt
Answer:
13
Step-by-step explanation:
9514 1404 393
Answer:
24
Step-by-step explanation:
Assuming that making the cut does not change the total length of the board, each foot can be divided into two pieces that are 1/2 foot. The number of pieces will be ...
(12 ft)/(1/2 ft/piece) = (12×2) pieces = 24 pieces
Ross can make 24 pieces that are 1/2 ft long from her board.
in 52469 6 is in the
Answer:
6 is in the tenths place.
Step-by-step explanation:
Each digit is a number has a place, and we start counting from left to the right.
52469
9 is in the units place
6 is in the tenths place.
4 is in the cents place.
2 is the thousandths place.
5 is in the ten thousandths place.
The question asks 6, which is in the tenths place.
sonya got 8 out of 10 questions right on a quiz.she got the same score on a quiz that had 20 questions. how many questions did sonya get right on the second quiz? how many questions did she get wrong on the second quiz?
MUST SHOW WORK
Answer:
Sonya got 16 questions correct.
Step-by-step explanation:
8/10=80%
80%×20=16
(To check)
16/20=80%
2+2 brain time yessir
Answer:
Step-by-step explanation:
4 is the correct answer
What is shrinkage in Accounting?
9514 1404 393
Explanation:
Shrinkage is the loss of inventory from causes other than normal use or sales. It is the difference between the inventory on the books and the amount of inventory actually available for use. Typical causes of shrinkage are theft, damage, fraud, counting error, administrative error.
CAN SOMEONE TELL ME WHAT THIS IS PLEASE
Answer:
A = 533.8 square inches
Step-by-step explanation:
Use the surface area of a cylinder formula (A=2πrh+2πr^2)
Plug in 12 for h and 5 for r
Use 3.14 in replace for π
A = 2(3.14)(5)(12) + 2(3.14)(5)^2
A = 533.8 in^2
Step-by-step explanation:
55 square inches tall is the average cost of a house in the morning po everything is the same as
Find five consecutive odd numbers where the sum of the first three numbers is 15 greater than the sum of the final two numbers.
Answer:
the consecutive numbers are: 23, 25, 27, 29, 31.
Step-by-step explanation:
23+25+27 is 75
29+31 is 60
75-60 is 15
1
A train trip took 4 hours. For the trip, the train traveled at 60 kilometers per hour. For the
2
rest of the trip, the train traveled at 100 kilometers per hour. How far did the train travel
in all?
Answer:
320 kilometers
Step-by-step explanation:
1/2 -- (60 * 2) = 120 km
rest pf the trip -- 100 km per hour -- 2 hours left -- (100 * 2) = 200 km
Therefore, 120 + 200 = 320 km
Thenks and mark me brainliest :)
I need help plsss I will give u more points
Answer:
The value of 0.9* 10² is D.90.4*(12-8)+2³4*4+2³16+824a.
False : it is to add 16+8
b.
False : its 8.
c.
True.
d.
False : its 24.
3.
side of cube [a]=2ft
volume of cube [V]=a³=2³=8ft³
He needs 1 bag to buy.As its volume is equal.
8. 3x + 5 > 16, x is an integer. Find
the smallest value of x.
9514 1404 393
Answer:
4
Step-by-step explanation:
Undo what is done to x.
3x > 11 . . . . . subtract 5
x > 11/3 = 3 2/3 . . . . divide by 3
The smallest value of x is 4.
simplify the expression 9n+1/4+6y+4n-4y
Answer: =13n+2y+1/4
Step-by-step explanation: Hope this help :D
Let simplify step by step
9n+1/4+6y+4n-4y
=9n+1/4+6y+4n-4y
combine like terms:
=9n+1/4+6y+4n+-4y =(9n+4n) +(6y+-4y) +(1/4)
=13n+2y+1/4 Hope
Lexi is hiking a trail that is 7.5 miles long. She stops to take a break after hiking 3.8 miles of the trail. Which equation can be used to find how many miles, m, Lexi has left to hike
Answer:
7.5 - 3.8 = m
Step-by-step explanation:
The equation can be used to determine the number of miles (m) Lexi has left to hike will be m + 3.8 = 7.5.
What is subtraction?It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
Lexi is hiking a trail that is 7.5 miles long. She stops to take a break after hiking 3.8 miles of the trail.
Then the equation can be used to determine the number of miles (m) Lexi has left to hike will be
Let m be the number of miles left. Then we have
m + 3.8 = 7.5
Subtract 3.8 on both sides, then we have
m = 3.7
More about the subtraction link is given below.
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4. For his garden, Clay has a mixture of 12
white corn seeds, 24 yellow corn seeds, and
16 bicolor corn seeds. If he reaches for a
seed without looking, what is the probability
that Clay will plant a bicolor corn seed first?
Answer:
I believe about 30.8%
Can someone help me really please
Answer:
Step-by-step explanation:
question
Answer:
the tank at the pet store
Step-by-step explanation:
5x4x2 = 40
35<40
Robyn can rent an unfurnished apartment for $850 per month. The landlord requires first and last months' rent, plus a security deposit of $350. How much will Robyn have to pay before she can rent this apartment?
Answer:
2,050 dollars is how much she will have to pay
Step-by-step explanation:
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
The sum of 7 and the cube of a number.
The sum of 7 and the cube of a number.
Answer:
Step-by-step explanation:
7 + x³ is the sum of 7 and the cube of a number x
What is the real number of ∞?
Answer:
Infinity is not a real number, its an idea.
Step-by-step explanation:
An idea of something without an end. Infinity cannot be measured. Even these faraway galaxies can't compete with infinity.