Answers
9514 1404 393
Answer:
B. (-∞, 1) ∪ (1, 2]
Step-by-step explanation:
When you are looking for answers to domain questions, you are looking for values of the variable(s) that make the function undefined. Here, there is a square root involved, and the rational function has a denominator that might be zero.
The function is only defined for square roots of non-negative numbers. That is ...
2-x ≥ 0 ⇒ x ≤ 2
The rational function is only defined for non-zero denominators, so ...
x-1 ≠ 0
x ≠ 1
__
So, you're looking for a domain description that includes all numbers less than or equal to 2, and excludes x=1. The attached number line shows a graph of this.
The domain divides into two parts: all numbers less than 1, and those numbers between 1 and 2 (including 2). This will be the union ...
(-∞, 1) ∪ (1, 2]
Related Questions
A rancher has 600600 feet of fencing to put around a rectangular field and then subdivide the field into 33 identical smaller rectangular plots by placing two fences parallel to one of the field's shorter sides. Find the dimensions that maximize the enclosed area. Write your answers as fractions reduced to lowest terms.
Answers
Answer:
x = 150 ft
y = y = 150 / 17 ft
Step-by-step explanation:
Area of the field is A = x*y
Let´s assume x is the larger side of the rectangle, and that we will get 33 identical smaller rectangular plots dividing x into 33 rectangles ( using 34 sides of length y ) then the quantity of fence is:
p = 2*x + 34*y ⇒ 600 = 2*x + 34*y y = ( 600 - 2*x)/34
A = x*y
A (x) = x* ( 600 - 2*x)/34
A (x) = ( 600*x - 2*x²)/34
Taking derivatives on both sides of the equation:
A´(x) = (1/34)* ( 600 - 4*x )
A´(x) = 0 (1/34)* ( 600 - 4*x ) = 0 600 - 4*x = 0
x = 600/4
x = 150 feet
And y = (1/34)( 600 - 2*150)
y = 300/34 y = 150 / 17 ft
y = 8.82 ft
How do we know that is a maximum area, we find the second derivative of A
A´´(x) = - 4/34 then A´´(x) < 0
We get a maximum of function A for the value x = 150
Dwayne improved his score on Commander
Quest from 65,720 to 88,722. By what percent
did his score increase?
Answers
Answer:
35%
Step-by-step explanation:
What was the numerical difference?
88722 - 65720 = 23002
Which number is the denominator for the % increase?
It must be 65720.
23002/ 65720 * 100 = 35%
So if we take 35% of 65720 and add it on to 65720 what do we get.
35/100 * 65720 + 65720 = 88722 just as we should.
Urgent
Please help!
Factorise
Answers
Answer:
a.
x²+3x-4
doing middle term factorization
x²+(4-1)x-4
x²+4x-x-4
x(x+4)-1(x+4)
( x+4)(x-1)
b.
x²-2x-3
x²-3x-x-3
x(x-3)-1(x-3)
(x-3)(x-1)
c.
x²+2x-8
x²+4x-2x-8
x(x+4)-2(x+4)
(x+4)(x-2)
b) (x-3)(x+1)
c) (x-2) (x+4)
Match the vocabulary word to its correct definition
1. arithmetic sequence
an individual quantity or number in
a sequence
the fixed amount added on to get
2. common difference
to the next term in an arithmetic
sequence
a sequence in which a fixed
3. sequence
amount is added on to get the next term
a set of numbers that follow a
4 term
pattern, with a specific first number
Answers
Answer:
1. Term.
2. Common difference.
3. Arithmetic sequence.
4. Sequence.
Step-by-step explanation:
1. Term: an individual quantity or number in a sequence. For example, 1, 2, 3, 5, 6. The first term is 1 while 5 is the fourth term.
2. Common difference: the fixed amount added on to get to the next term in an arithmetic sequence. For example, 2, 4, 6, 8 have a common difference of 2 i.e (6 - 4 = 2).
3. Arithmetic sequence: a sequence in which a fixed amount such as two (2) is added on to get the next term. For example, 0, 2, 4, 6, 8, 10, 12.... is an arithmetic sequence.
4. Sequence: a set of numbers that follow a pattern, with a specific first number. For example, 1, 2, 3, 4, 5, 6 is a sequence.
Plz help i need a correct answer asap
Answers
A is
[tex] | - 9| + |9| [/tex]
absolute value is always positive, the minus sign vanishes (it literally means "how far away from zero" something is. distance can't be negative.)
B ist just 18
Find the perimeter of the triangle whose vertices are the following specified (0,3), (-10,-4) (-9,-7) points in the plane.
Answers
Answer:
The perimeter of the triangle is 28.82
Step-by-step explanation:
Please check the image uploaded for the diagram.
Perimeter = d₁ + d₂ + d₃
[tex]d_1 = \sqrt{(-10-0)^2 + (-4-3)^2} = \sqrt{100+49} =\sqrt{149} = 12.21\\\\d_2 = \sqrt{(-9-0)^2 + (-7-3)^2} = \sqrt{81+100} =\sqrt{181} = 13.45\\\\d_3 = \sqrt{(-10+9)^2 + (-4+7)^2} = \sqrt{1+9} =\sqrt{10} = 3.16\\\\Perimeter = 12.21 + 13.45 + 3.16 = 28.82[/tex]
if gh¢400.00 is deposited at a bank at 10% per annum compounded quarterly, how long will it take the deposit to double it value.
Answers
Answer:
~ 7 years
Step-by-step explanation:
2 = (1 + .1/4)^(4t)
2 = (1.025)^(4t)
Take the log of both sides
log2 = 4t * log1.025
divide both sides by log1.025
log2/log1.025 = 4t
28.07103452593863 = 4t
Divide both sides by 4
7.017758631484657 = t
~ 7 years
calculate the following range of scores for a continuous variable: 9,8,7,6,5,4,3,2. Use upper and lower real limits to calculate your answer.
Answers
Answer:
7
Step-by-step explanation:
Given the data :
9,8,7,6,5,4,3,2
Ordering the data from least to highest :
2, 3, 4, 5, 6, 7, 8, 9
The range of a dataset is given by :
Maximum - Minimum
Maximum value = 9
Minimum value = 2
Range of data:
9 - 2 = 7
Range = 7
Graph this following equation y=2x+3
Answers
Answer:
Step-by-step explanation:
Use Desmos, really helpful!
Answer:
Look at the images.
the sumof 8pq and -17 pq is
Answers
Answer:
= -9pq
Step-by-step explanation:
=8pq + (-17pq)
=8pq-17pq
= -9pq
4. Find the circumference of the circle. Use 3.14 for the value of x. Round your answer to the nearest tenth.
20 in
Answers
Answer:
18.2cm
thank you
i think
(don’t mind me just trying to get my points up)
m: 4,y-intercept: -3
Answers
Answer:
気わぴてぽ場来委ノヤセケ営非イソ坊管るゅぐ始属度ナ作78円レ話1既オ穫橋サエノス高境ド紀健ヨ出球用知ドルぐし。一ぞレゃ者5縮に策初ホムユス就張ヘ例芸んばれ予定ウホ所物メヤマ布事3者フリ京著ユ月遠ぐ円晶郊せはル。案馬がみわ員連じへい液済そ伝深優アネソ問合都フび渡格ンにづだ人配7初クエ縮杉ラマハ干照く漁更保間す辞表メフナヒ辞発だょより軍綱てかで線説般郎彩そン。
Step-by-step explanation:
気わぴてぽ場来委ノヤセケ営非イソ坊管るゅぐ始属度ナ作78円レ話1既オ穫橋サエノス高境ド紀健ヨ出球用知ドルぐし。一ぞレゃ者5縮に策初ホムユス就張ヘ例芸んばれ予定ウホ所物メヤマ布事3者フリ京著ユ月遠ぐ円晶郊せはル。案馬がみわ員連じへい液済そ伝深優アネソ問合都フび渡格ンにづだ人配7初クエ縮杉ラマハ干照く漁更保間す辞表メフナヒ辞発だょより軍綱てかで線説般郎彩そン。
y=4x–3
y-y1=m(x-x1)
y+3=4(x-0)
y+3=4x-0
y+3=4x
y=4x-3
Look below. (Will give Brainliest)
Answers
Answer:
A.
[tex] < 6 = 180 - 72 \\ = 108 \degree[/tex]
E.
[tex] < 5 = 72 \degree \\ (alternate \: angles)[/tex]
Answer:
The correct answers are
E. m< 5= 72
B. <2 = m<7
A. <6 = 108
Step-by-step explanation:
E is correct because B and C are parallel meaning that 5 and 72 are alternate interior angles.
B is correct because they are alternate exterior angles
A is correct because 180 - 72 = 108
Hope this helped
What is the following quotient?
Answers
Answer:
First option is the correct answer.
[tex] \huge{ \purple {2( \sqrt[3]{3} ) - \sqrt[3]{18} }}[/tex]
Step-by-step explanation:
[tex] \frac{6 - 3(\sqrt[3]{6} )}{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{ {6}^{3} } - \sqrt[3]{ {3}^{3} } . \sqrt[3]{6} }{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{216} - \sqrt[3]{ {3}^{3} \times 6} }{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{216} - \sqrt[3]{ 27 \times 6} }{ \sqrt[3]{9} } \\ \\ = \sqrt[3]{ \frac{216}{9} } - \sqrt[3]{ \frac{27 \times 6}{9} } \\ \\ = \sqrt[3]{24} - \sqrt[3]{3 \times 6} \\ \\ = \sqrt[3]{ {2}^{3} \times 3} - \sqrt[3]{18} \\ \\ \huge{ \red{ = 2( \sqrt[3]{3} ) - \sqrt[3]{18} }}[/tex]
To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units.
Determine which statements about the relationship are true. Choose two options.
g is the dependent variable.
u is the dependent variable.
g is the independent variable.
u is the independent variable.
The two variables cannot be labeled as independent or dependent without a table of values.
Answers
Answer: u is the dependent variable
g is the independent variable
Step-by-step explanation:
Based on the relationship, represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units, then :
u is the dependent variableg is the independent variableWhat are the independent variables and dependent variable?An independent variable serves as the variable that one can manipulate then control, an experimental so one can actually record the effects.
Independent variable on the other hand serves as the cause which have an independent values compare to others.
Learn more about variable at:https://brainly.com/question/3764906
#SPJ9
Mrs. Smith blinks about 450 times in 30 minutes. Samaira
blinks about 150 times in 15 minutes. How many more
times does Mrs. Smith blink per minute than Samaira?
Answers
Answer:
15 more times per minute
Step-by-step explanation:
A stack of squares has 170 squares in the bottom row, 156 in the second row from the bottom, 142 in the third row from the bottom and 128 in the fourth row from the bottom. How many squares will there be in the 11th row from the bottom ? - a table always makes these sums easier!)
Answers
9514 1404 393
Answer:
30
Step-by-step explanation:
The sequence of square counts is ...
170, 156, 142, 128
The differences from one row to the next are ...
-14, -14, -14
We see that the differences are constant, so we know the sequence is an arithmetic sequence with first term 170 and common difference -14. This means the n-th term is ...
an = a1 +d(n -1) . . . . . . for first term a1 and common difference d
an = 170 -14(n -1)
For n=11, the number of squares is ...
a11 = 170 -14(11 -1) = 30
There will be 30 squares in the 11th row.
Which expression represents the probability of choosing an item from the intersection of A and B
Answers
OPTION A is the correct answer
The intersection of event A and B is given by P( A∩B) , Option A is the correct answer.
What is Probability ?Probability is the likeliness of an event to happen.
It is given that the Probability of two independent event A and B is given by
P(A) and P(B)
The intersection of event A and B is given by
P( A∩B)
Therefore Option A is the correct answer.
To know more about Probability
https://brainly.com/question/12431044
#SPJ2
please help quick pleaseeee
Answers
Answer:
17
Step-by-step explanation:
Answer:
bru
Step-by-step explanation:
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10.
Answers
Answer:
6
Step-by-step explanation:
a² + b² = c²
a² + 8² = 10²
a² + 64 = 100
Subtract 64 from both sides
a² = 36
Take the square root of both sides
a = 6
Answer:
x²+y²=hyptneus ²
Step-by-step explanation:
length is always positive
so answer is 6
pls answer! Dylan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6400 feet.
Dylan initially measures an angle of elevation of 16° to the plane at point A. At some
later time, he measures an angle of elevation of 36° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.
Answers
Answer:
13510 ft
Step-by-step explanation:
I have attached a triangle diagram to depict this situation.
From the diagram, we see that distance between A and B is denoted by x.
Now, from trigonometric ratios in this type of triangle, let's first find y.
6400/y = tan 36
y = 6400/tan 36
y = 8808.84 ft
Now, we can find x from;
6400/(8808.84 + x) = tan 16
6400/tan 16 = 8808.84 + x
22319.452 = 8808.84 + x
x = 22319.452 - 8808.84
x ≈ 13510 ft
The distance the plane traveled from point A to point B is 13510 ft
Calculation of the distance:Here we assume the distance between A and B should be x.
Now the y value should be
[tex]6400\div y = tan 36\\\\y = 6400\div tan 36[/tex]
y = 8808.84 ft
Now, we can find x
[tex]6400\div (8808.84 + x) = tan\ 16\\\\6400\div tan\ 16 = 8808.84 + x[/tex]
22319.452 = 8808.84 + x
x = 22319.452 - 8808.84
x ≈ 13510 ft
Learn more about distance here: https://brainly.com/question/785292
Wut is (2/2 x 23.34)^3?
X means times, not varible
Answers
Answer:
12714.595704
Step-by-step explanation:
(2/2 x 23.34)^3
(1 x 23.34)^3
23.34^3
=12714.595704
Find the value of x for which the lines p and q are parallel.
Answers
Answer:
D
Step-by-step explanation:
have a good day
Answer:
D) 7
Step-by-step explanation:
Since the two angles marked are corresponding, if [tex]p[/tex] and [tex]q[/tex] are parallel, they must be equal.
Therefore, we have:
[tex]14x+18=116,\\14x=98,\\x=\boxed{7}[/tex]
Find the perimeter of a rectangular strip of board is 3.28m long and 7.5m
Answers
Answer:
21.56 m
Step-by-step explanation:
2(3.28) + 2(7.5)
(twos represent the sides)
6.56 + 15
= 21.56 m
What are the steps in finding the average height? Plz help ty :>
(Problem-solving questions- Calculating the average height of all the children in your class)
Answers
Answer: add all the heights and divide by number of children.
Step-by-step explanation: add all heights and divide by number of children
kelly wants to make a box in the shape of a cube.How many pieces of wood does she need? In what shape should she cut them?
Answers
What is the slope of the line below
Answers
Answer:
D. 1/2
Step-by-step explanation:
Step-by-step explanation:
The answer is 1/2. As the slop means gradient. so Gradient = change in Y / change in X .
If x = 3k + 2 and y = k - 2 is a solution of linear equation 5x - 3y = 4 , then the value of k
pls can say the answer fast
Answers
5(3k+2)-3(k-2)=4
15k+10-3k+6=4
12k+16=4
12k=4-16
K=-12/12
K= -1
Find the length of the third side. If necessary, round to the nearest tenth.
Answers
Answer: 14.4
Step-by-step explanation:
Plz send the Venn diagram of this...
Answers
Answer:
Step-by-step explanation:
sorry im not sure