Answers
9514 1404 393
Answer:
(c) reflection about x-axis, shift right 1
Step-by-step explanation:
The transformation g(x) = p·f(x-h) causes the graph of the function f(x) to be shifted right by h units. It also causes the graph to be vertically scaled by the factor 'p'. When p is negative, the graph is also reflected across the x-axis.
Here, we have p=-2, h=1, so the graph is ...
reflected across the x-axisvertically stretched by a factor of 2shifted right 1 unitThis collection of transformations matches the 3rd choice.
_____
Additional comment
The +3 inside parentheses (square brackets) causes the graph to be shifted upward 3 units--before it is reflected and vertically scaled. The reflection across the x-axis causes that upward shift to look like a downward shift, and the vertical stretch causes that shift of 3 units to become a shift of 6 units. (All answer choices agree that the downward shift is 6 units, so we didn't really need to discuss that.)
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
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
You collect the following data for explanatory variable A and response variable B:
A(x) B(y)
1 14.2
2 14.9
3 15.5
4 16.8
5 17.8
6 18.9
7 20.1
8 20.9
9 21.5
10 22
You calculate the following summary statistics: x-bar = 5.5, s subscript x = 3.03, y-bar = 18.26, s subscript y = 2.85, and r = .995.
Required:
What's the critical t value you'd use for a 95% confidence interval for the slope of this regression line?
Answers
Answer:
v
Step-by-step explanation:
find integral∫cos³x dx) )?
Answers
Answer:
sin(x)−1/3(sin3(x))+C
Step-by-step explanation:
use u substitution method to integrate
cos³(x) = cos(x) cos²(x)
… = cos(x) (1 - sin²(x))
Substitute u = sin(x) and du = cos(x) dx. Then in the integral, you get
∫ cos³(x) dx = ∫ (1 - u ²) du
… = u - 1/3 u ³ + C
… = sin(x) - 1/3 sin³(x) + C
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.
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]
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]
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]
Fraction with a  Denominator of 60 that is equivalent to 2/3
Answers
Answer:
40
Step-by-step explanation:
you have to find the multiplier that gets 3 to equal 60, that would be 20
therefore, you then multiply the numerator by 20 also and get 40
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
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:
graph the line with intercept 6 and slope
[tex] - \frac{3}{2} [/tex]
Answers
Given:
The y-intercept of a line = 6
The slope of the line = [tex]-\dfrac{3}{2}[/tex]
To find:
The graph of the given line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
Putting [tex]m=-\dfrac{3}{2}[/tex] and [tex]b=6[/tex] in the above equation, we get
[tex]y=-\dfrac{3}{2}x+6[/tex]
At [tex]x=0[/tex],
[tex]y=-\dfrac{3}{2}(0)+6[/tex]
[tex]y=0+6[/tex]
[tex]y=6[/tex]
At [tex]x=2[/tex],
[tex]y=-\dfrac{3}{2}(2)+6[/tex]
[tex]y=-3+6[/tex]
[tex]y=3[/tex]
Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.
The required graph is shown below.
Given that angle ABC=70° and that angle BCD=110°. Is it possible (consider all cases) that Line AB intersects line CD ?
Answers
Answer:
yes.
Step-by-step explanation:
#CarryOnLearning
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.
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
How many 1/3 servings are in 36 servings?
Answers
Answer:
108
Step-by-step explanation: When you want to find out how much a fraction fits into a number, you have to multiply it by how much it takes to make 1 whole number using the fraction. 1/3 requires 3 of them to make 1 whole number. This means that 36 can be multiplied by 3, which gives us the answer of 108
Answer:
108 of 1/3 servings are in 36 servings.
Step-by-step explanation:
3/1 multiples 3 become 1.
1 multiple 36 and equal 36,
so,3 multiple 36.
3×36=108
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)
Rewrite each of the following statements in the form "∀ _____ x, _____."
(a) All dinosaurs are extinct. ∀ ---Select--- x, ---Select--- .
(b) Every real number is positive, negative, or zero. ∀ ---Select--- x, ---Select--- .
(c) No irrational numbers are integers. ∀ ---Select--- x, ---Select--- .
(d) No logicians are lazy. ∀ ---Select--- x, ---Select--- .
(e) The number 2,147,581,953 is not equal to the square of any integer. ∀ ---Select--- x, ---Select--- .
(f) The number −1 is not equal to the square of any real number.
Answers
Answer:
The rewritten statements is as follows:
(a) ∀ dinosaur x, x is extinct.
(b) ∀ real [tex]number[/tex] x, x is positive, [tex]negative[/tex], or zero.
(c) ∀ irrational [tex]number[/tex] x, x is not an [tex]integer[/tex].
(d) ∀ logician x, x is not lazy.
(e) ∀ integer x, [tex]x^2 \ne 2,147,581,953[/tex]
(f) ∀ real number x, [tex]x^2 \ne -1[/tex]
Step-by-step explanation:
As a general rule, words like "all", "every", "the", etc. are represented with ∀.
However, some sentences may be need to rephrased before such sentence can be rephrased
So, the following replacement will be made:
(a)
[tex]All \to[/tex] ∀
[tex]dinosaurs \to x[/tex]
(b)
[tex]Every \to[/tex] ∀
[tex]real\ number \to x[/tex]
(c)
First, we need to rephrase this sentence to:
Every irrational number is not integer
So, the replacement is:
[tex]Every \to[/tex] ∀
[tex]irrational\ number \to x[/tex]
(d)
First, we need to rephrase this sentence to:
Every logician is lazy
So, the replacement is:
[tex]Every \to[/tex] ∀
[tex]lazy \to x[/tex]
(e)
First, we need to rephrase this sentence to:
The integer 2,147,581,953...............
So, the replacement is:
[tex]The \to[/tex] ∀
[tex]Integer \to x[/tex]
(f)
Replace:
[tex]The \to[/tex] ∀
[tex]-1 \to x^2[/tex]
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
help pls ? heusnwkq bsjnsjjw
Answers
Explanation : Domain is the x-value
Simplify the expression 2(4x – 2) + x if x = 6.
Answers
Answer:
44
Step-by-step explanation:
2(4x-2)
2(4(6)-2)
2(24-2)
2(22)
44
Hope this helps! :)
Answer and Step-by-step explanation:
Simply plug 6 in for x.
2(4(6) - 2) + 6
Multiply 4 by 6.
2(24 - 2) + 6
Subtract 2 from 24.
2(22) + 6
Multiply 22 by 2.
44 + 6
Add.
50
The answer is 50.
#teamtrees #PAW (Plant And Water)
Help me please with this question
Answers
9514 1404 393
Answer:
c. 3 to 4
Step-by-step explanation:
There are 3 oranges and 4 apples in the bowl, so the ratio is ...
oranges/apples = 3/4 or 3 to 4
Help please this question is so hard!
Answers
Site B 17/9 = 1.89 when you round up
Site D 4/3 = .75
Then look at all the numbers least to greatest.
D .75 m C 1.36 m A 1.60 m B 1.89 m
Answer D, C, A, B
Gregorio made 25 quart of hot chocolate. Each mug holds 1/10 quart. How many
mugs are used for the hot chocolate?
Answers
Answer:
4 mugs of hot chocolate
Step-by-step explanation:
So, we must find out how many mugs of hot chocolate we can make.
Then we set up a ratio of amount of chocolate to mugs such as
(2/5) / (1/10) = (2/5)(10/1) = 20/5 = 4 mugs of hot chocolate
Hope this answer helps you :)
Have a great day
Mark brainliest
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
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.
Find the area of the kite with diagonals a= 12 and b=9
A) 30
B) 72
C) 54
D) 108
Answers
maybe 108 is the answer.
Answer :
A=pq/2=12*9/2=54
A house on the market was valued $234,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What is the current value of the house?
Answers
The price decreases by $288,000*(0.19)=$54,720
The current value is then $233,280.
Graph this following equation y=2x+3
Answers
Answer:
Step-by-step explanation:
Use Desmos, really helpful!
Answer:
Look at the images.
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