Answers
Answer:
B.
Step-by-step explanation:
First, let's start from the parent function. The parent function is:
[tex]f(x)=\sqrt{x}[/tex]
The possible transformations are so:
[tex]f(x)=a\sqrt{bx-c} +d[/tex],
where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.
From the given equation, we can see that a=1 (so no change), b=3, c=-3 (negative 3), and d=3.
Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the left (because it's negative), and a vertical shift of 3 upwards (because it's positive).
Related Questions
writing linear equations
Answers
Answer:
The graph in blue: y=4/3x-2
Step-by-step explanation:
Slope-intercept form is y=mx+b, m being the slope and b being the y-intercept.
To find the slope, you just put rise/run of the line.
Hope this helped :)
find the solution of x and y
Answers
Answer:
x = 1.25, y = 1.75
Step-by-step explanation:
The smaller and larger triangles are similar triangles. (the 2 triangles have the same angles).
We know that the smaller triangle has length 8 for it's bottom side when the larger triangle has length 10. This means the scale factor between the 2 is 10 / 8 which is 1.25. Therefore by multiplying the side lengths of the smaller triangle by 1.25 we get the side lengths of the larger triangle.
5 * 1.25 = 6.25
7 * 1.25 = 8.75
However we don't want the whole side lengths we want x and y, We need to subtract 5 and 7 respectively from the lengths of the larger triangles.
Therefore the lengths must be: 6.25 - 5 = 1.25
and 8.75 - 7 = 1.75
Therefore x and y equal 1.25 and 1.75
HELPPP PLSSS Write the equation of the arithmetic sequence defined by a1 = 3 and a4 = 0. (Type your answer in the form an= and please do NOT use spaces.)
Answers
Answer:
[tex]a_n=4-n[/tex]
Step-by-step explanation:
Recall the definition of the general nth term of an arithmetic sequence of common difference "d":
[tex]a_n=a_1+(n-1)\,d[/tex]
we can use this formula to find the common difference knowing the first and fourth terms, and then write the general form for the sequence:
[tex]a_n=a_1+(n-1)\,d\\0=3+(4-1)\,d\\0=3+3\,d\\0-3=3\,d\\d=-1[/tex]
Then the general form for the nth term of this sequence is:
[tex]a_n=3+(n-1)\,(-1)\\a_n=4-n[/tex]
Solve sin 20 = COS CE-30)
Answers
Answer:
CE = 100°
Step-by-step explanation:
Using the cofunction identity
sin x = cos(90 - x)
Given x = 20°, then 90° - 20° = 70° thus
CE - 30 = 70° ( add 30 to both sides )
CE = 100°
Thus
sin20° = cos(100 - 30)° = cos70°
Answer:
CE = 100
have a nice day!
Step-by-step explanation:
Solve the proportion for X.
5/2.5=
X/2
1
4
5.5
6.25
Answers
Answer:
[tex]\large \boxed{X = 4}[/tex]
Step-by-step explanation:
5/2.5 = X/2
To solve a proportion, use the following equation:
(numerator * opposite denominator) = (numerator * opposite denominator)
Substitute in given numbers
(5 * 2) = (X * 2.5)
Multiply to simplify
10 = 2.5X
Divide both sides of this equation by 2.5
[tex]\large \boxed{X = 4}[/tex]
Hope this helps :)
The shortest side of a triangle is 12cm and the area of the triangle is 8 square cm. A similar triangle has an area of 18 square cm. Calculate the shortest side of this triangle
Answers
Answer:
27cm
Step-by-step explanation:
Given the following :
Triangle A:
Shortest side = 12cm
Area of triangle = 8cm^2
Triangle B:
shortest side =?
AREA of triangle = 18cm^2
If triangle A and B are similar :.
Area A / Area B = Length A / length B
8cm^2 / 18 = 12 / length B
Cross multiply :
8cm * Length B = 18 × 12
Length B = 216 / 8
Length B = 27
Therefore, the shortest of the other triangle IS 27cm
Answer:
its A C and E hope this helps
Step-by-step explanation:
x =
117
124
107
102
145
Hint: Sum = (n-2)180
Enter
Answers
Answer:
x = 125°
Step-by-step explanation:
The given polygon is a hexagon with 6 sides.
The sum of the interior angles for any given polygon = (n - 2)180, where n is the number of sides of the polygon.
Therefore:
[tex] x + 117 + 124 + 102 + 145 + 107 = (6 - 2)180 [/tex]
[tex] x + 595 = (4)180 [/tex]
[tex] x + 595 = 720 [/tex]
Subtract both sides by 595 to solve for x:
[tex] x + 595 - 595 = 720 - 595 [/tex]
[tex] x = 125 [/tex]
x = 125°
the slope of the line below is -5 which of the following is the point slope form of the line (4,-8)
Answers
Answer:
y + 8 = -5(x - 4).
Step-by-step explanation:
In this case, y1 = -8, x1 = 4, and m = -5.
y - (-8) = -5(x - 4)
y + 8 = -5(x - 4).
Hope this helps!
Can someone help me ok this question
Answers
Answer:
the answer is 2/5 or 0.4
.
first correct answer gets best marks
Answers
Answer:
option three!!!!!
Step-by-step explanation:
its closed circle
on 6
and pointing left
Find the complex fourth roots of 81(cos(3π/8)+isin(3π/8)). a) Find the fourth root of 81. b) Divide the angle in the problem by 4 to find the first argument. c)Use the fact that adding 2π to the angle 3π/8 produces the same effective angle to generate the other three possible angle for the fourth roots. d) Find all four of the fourth roots of 81(cos(3π/8)+isin(3π/8)). express your answer in polar form.
Answers
Answer:
The answer is below
Step-by-step explanation:
Let a complex z = r(cos θ + isinθ), the nth root of the complex number is given as:
[tex]z_1=r^{\frac{1}{n} }(cos(\frac{\theta +2k\pi}{n} )+isin(\frac{\theta +2k\pi}{n} )),\\k=0,1,2,.\ .\ .,n-1[/tex]
Given the complex number z = 81(cos(3π/8)+isin(3π/8)), the fourth root (i.e n = 4) is given as follows:
[tex]z_{k=0}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(0)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(0)\pi}{4} ))=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})] \\z_{k=0}=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})]\\\\z_{k=1}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(1)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(1)\pi}{4} ))=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})] \\z_{k=1}=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})]\\\\[/tex]
[tex]z_{k=2}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(2)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(2)\pi}{4} ))=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})] \\z_{k=2}=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})]\\\\z_{k=3}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(3)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(3)\pi}{4} ))=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})] \\z_{k=3}=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})][/tex]
513 to the nearest 100
Answers
Answer:
500
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
Gwen participates in an online rewards program.She earns points for completing surveys. Gwen earns 10 points for each survey she completes,and she wants to predict the total number of points that she will earn based on the number of surveys that she completes. Which quantities in this situation have more than one possible value? Choose All That apply.
The number of surveys Gwen completes.
The number of points Gwen earns for completing each survey.
The total number of points Gwen earns.
Answers
Answer:
Step-by-step explanation:
Hello,
For each survey that Gwen completes she earns 10 points.
So the number of points Gwen earns for completing each survey is 10 and there is only one value.
If x is the number of surveys Gwen completed, her number of points is 10 multiplied by x.
The number of surveys Gwen completes can have several values.
And then, the total number of points Gwen earns can have several values too.
So you need to choose
The number of surveys Gwen completes.
and
The total number of points Gwen earns.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Jennifer wants to see if the color of the testing room causes test anxiety. She asks 100 participants to come to a modified classroom, and as they walk in, she asks each person to choose either a testing cubicle painted bright red or a testing cubicle painted off white. On the basis of their choices, participants spend 20 minutes in one or the other cubicle solving challenging math problems. Then, they complete a survey asking them questions about how anxious they were during the math test. What's wrong with Jennifer's experiment?
Answers
Answer: Jennifer didn't randomly assign participants to the control and experimental group.
Step-by-step explanation: In the scenario discussed above, Jennifer failed to perform a random assignment of the participants who took part in the survey, that is the experimental group, those who receive the treatment and the control group, those who don't. Random assignment is required in other to address the issue of bias in our experiment. She was supposed to perform a random assignment of the participants to the two groups instead of asking them to make a choice.
Which of the following best describes the relationship between (x-3) and the
polynomial x2 + 4x2 + 2?
A. It is impossible to tell whether (x-3) is a factor.
B. (x-3) is a factor
C. (x-3) is not a factor.
Answers
Answer:
C
Step-by-step explanation:
If (x - 3) is a factor of the polynomial then evaluating the polynomial for x = 3 should give a result of zero, that is
3² + 4(3)² + 2 = 9 + 36 + 2 = 47 ≠ 0
Thus (x - 3) is not a factor → C
How many x-intercepts does the graph of y=2x^2-8x+15 have?
Answers
The graph of y=2x^2-8x+15 has no x-intercepts.
Three bells toll at an interval of 4,5 and 6 second .after how much time will they toll together
Answers
Answer:
after 60 seconds = 1 minute ,they will together for the first time.
Step-by-step explanation:
Three bells toll at an interval of 4,5 and 6 second.
They will ring together at the time which will be the multiple of all the three time interval (i.e 4,5,6)
4 = 2*2
5= 5*1
6 = 2*3
LCM of these three number will be multiple of highest power of each prime number
highest power of 2 in the above problem 2^2
3 = 3
5 = 5
Thus, LCM 2^2 * 3*5 = 60
Thus, after 60 seconds they will together for the first time.
Then they will toll together after each interval of 60 seconds together.
If the measure of a tangent-chord angle is 68°, then what is the measure of the intercepted arc inside the angle?
Answers
Answer:
113°,
Step-by-step explanation:
tangent - chord angle is 68°,Answer:
112°
Step-by-step explanation:
1/2(248 - 112) = 68
2 equations with 2 unknowns
x = intercepted arc, y = rest of the circle
x + y = 360
1/2 (y - x) = 68
1/2 ((360 - x) - x) =68
360 - 2x = 136
224 = 2x
112 = x
I need the answer to this please!
Answers
Answer:
106
Step-by-step explanation:
Sum of angles around a point = 360 degrees
Sum of given angles = 164+90 = 254
Thus, the value of x is the angles remaining from 254 to make 360
360-254 = 106
Hope this helps
Good luck
Answer:
106
Step-by-step explanation:
164+90=254
360-254=106
Find m∠ABC__________
Answers
Answer:
ill help!
Step-by-step explanation:
find angle CBD
once you find that angle subtract it from 90 because that is the measure of ABC which is a right angle. Because all right angles are 90 degrees you can prove that it is the difference from angle CBD and 90.
hope it helped have good one!
Please help ! Find the probability
Answers
Answer:
.32 or 32%
Step-by-step explanation:
The area of the circle is about 50.27
Given this you can use this to find the area of the triangle and find the precent of the circle that is shaded:
The area of the triangle is 16
you can divide 16 by 50.27 to see the precntage or propability for the answer
i need help with this please
Answers
Answer:
supplementary
Step-by-step explanation:
Since a and b form a straight line, they will add to 180 degrees
Two angles that add to 180 degrees are supplementary angles
which set of steps will translate f(x)=6x to g(x)=6x-5-7
Answers
THIS IS THE COMPLETE QUESTION BELOW;
Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?
Shift f(x) = 6x five units to the left and seven units up.
Shift f(x) = 6x five units to the right and seven units down.
Shift f(x) = 6x seven units to the right and five units up.
Shift f(x) = 6x seven units to the left and five units down.
Answer:
Shift f(x)=6x five units to the left and seven units down.
Step-by-step explanation:
We are told to translate the function below
f(x) = 6x to g(x) = 6x – 5 – 7
Which means the process to translate f(x) into g(x) is required.
According to the translation rule
f(x)-------->f(x)+a
If a<0 it shift to downward
If a>0 it shift to upward
Then we have
(X,y) ----->((x - 5, y)
There is a shift by x coordinates towards left by 5 units
then we would have the function as
f'(x) = 6(x-5)
Following the translation rule there is a shift by the function by 7 units downward direction then we have
(x,y) ----->(x,y -7)
Then we have g(x) = 6x – 5 – 7 as our translation product.
Therefore, shift f(x)=6x five units to the left and seven units down.
My age if I am half as old as two more than twice Mack's age if Mack is m years old.
Answers
Answer:
You are m + 1 years old.
Step-by-step explanation:
Let's say that you are x years old, and Mack is m years old.
x = 1/2( two plus twice m)
x = 1/2(2 + 2m)
x = 1 + m
x = m + 1
Hope this helps!
Use the linear combination method to solve this system of equations. What is the value of x? Negative 2.4 x minus 3.6 y = 1.2. 2.4 x + 1.2 y = 1.2. Negative 1 0 1 -4.8
Answers
Answer:
x=1/4
y=1/2
Step-by-step explanation:
Given:
-2.4x+3.6y=1.2
2.4x + 1.2y=1.2
-2.4x+3.6y=1.2
Divide through by 1.2
-2x+3y=1
2.4x + 1.2y=1.2
Divide through by 1.2
2x+y=1
-2x+3y=1 (1)
2x+y=1 (2)
From 2
y=1-2x
Substitute y=1-2x into (1)
-2x+3y=1
-2x+3(1-2x)=1
-2x+3-6x=1
-8x=1-3
-8x=-2
Divide both sides by -8
x=1/4
Substitute x=1/4 into (2)
2x+y=1
2(1/4)+y=1
2/4+y=1
1/2+y=1
y=1-1/2
y=1/2
x=1/4
y=1/2
Answer:
x=1
Step-by-step explanation:
edge 2021
Please answer this question now
Answers
Answer:
39°Step-by-step explanation:
A radius to the tangent point always forms a right angle with the tangent:
m∠XWY = 90°
So:
90° + 58° + x - 7° = 180°
141° + x = 180°
x = 39°
Lisa flies from San Francisco to New York (2500 mi) in 5 hours and then flies from New York to Rome (3487.5 mi) at 465 mph. What is the average speed for her entire trip?
Answers
Answer:
443.1305
Step-by-step explanation:
1 mile=0.869 nautical miles
1 mph=0.869 knots
Average speed=Distance/time
Average speed=2172.5/5
=434.5
404.09=3487.5/hours
=8.6305
434.5+8.6305
=443.1305
What the answer fast now
Answers
Answer:
TW = 3.2 yd
Step-by-step explanation:
In the picture attached,
Triangle TWV has been given with angle W = 90°
By applying Sine rule in the given right triangle,
Since, Sine of an angle is the ratio of its opposite side and hypotenuse (side opposite to the right angle)
SinV = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
SinV = [tex]\frac{\text{TW}}{\text{TV}}[/tex]
Sin(32)°= [tex]\frac{\text{TW}}{6}[/tex]
TW = 6.Sin(32)°
TW = 3.1795
TW = 3.2 yd
Therefore, measure of the side TW = 3.2 yd.
Harry took a loan from the bank. D represents Harry's remaining debt (in dollars) after t months. D = -200t + 9000 What was the size of Harry's loan? Please HELPPP Im not allowed to stand up from my chair until i finish this and i've been at it for 1 HOUR PLEASEEEEEEEEEE thank you so much to who ever answers this YOU ARE THE BESTTTTTTT
Answers
Answer:
9000
Step-by-step explanation:
the inital ammout which is 9k is the size of the loan
-200 because he years 200 dollars per month
but the start up number is 9000 and he repays the load at 200 dollars a month
Help ASAP! Will award brainliest!
Answers
Answer:
The last (bottom) option in your list
Step-by-step explanation:
Do the product of the matrix one at a time as shown in the attached image:
Answer:
[tex]A^3=\left[\begin{array}{ccc}19&27&9\\6&19&18\\18&9&19\end{array}\right]\\\\PQ-not\ possible[/tex]
Step-by-step explanation:
[tex]A^3=A\cdot A\cdot A[/tex]
A³ - in the attachment
PQ is not possible, because
the dimensions of P are 3 × 3
the dimensions of Q are 2 × 2.
We can multiply two matrices A and B if the number of columns in A is equal to the number of rows in B.
n × m and m × k