Function ggg can be thought of as a scaled version of f(x)=x^2f(x)=x
2
f, left parenthesis, x, right parenthesis, equals, x, squared.
A parabola labeled f represents the equation y equals x squared. A parabola labeled g passes through the point negative 1, 4, through the origin, and through the point 1, 4.
Write the equation for g(x)g(x)g, left parenthesis, x, right parenthesis.
Using translation concepts, it is found that the equation for function g(x) is given by:
g(x) = 4x².
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is given by:
f(x) = x².
This function passes through point (1,1). Function g(x) passes through point (1,4), that is, it is horizontally compressed by a factor of 4, hence g(x) is given by:
g(x) = 4x².
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Decimal’s I can’t understand it
Answer:
In Mathematics, the numbers can be classified into different types, namely real numbers, natural numbers, whole numbers, rational numbers, and so on. Decimal numbers are among them
Types of Decimal Numbers
Decimal Numbers may be of different kinds, namely
Recurring Decimal Numbers (Repeating or Non-Terminating Decimals)
Example-
3.125125 (Finite)
3.121212121212….. (Infinite)
Non-Recurring Decimal Numbers (Non Repeating or Terminating Decimals):
Example:
3.2376 (Finite)
3.137654….(Infinite)
Decimal Fraction- It represents the fraction whose denominator in powers of ten.
Example:
81.75 = 8175/100
32.425 = 32425/1000
Converting the Decimal Number into Decimal Fraction:
For the decimal point place “1” in the denominator and remove the decimal point.
“1” is followed by a number of zeros equal to the number of digits following the decimal point.
For Example:
8 1 . 7 5
↓ ↓ ↓
1 0 0
81.75 = 8175/100
8 represents the power of 101 that is the tenths position.
1 represents the power of 100 that is the units position.
7 represents the power of 10-1 that is the one-tenths position.
5 represents the power of 10-2 that is the one-hundredths position.
So that is how each digit is represented by a particular power of 10 in the decimal number.
The equation of the line in this graph is
y= ____ x+____ .
find the difference between 0.1kg and 75kg
Answer:
25 gm
Step-by-step explanation:convert kg in gr
therefore
0.1 * 1000 = 100 gm
now take difference :-
100 - 75 = 25 gm
Which graph shows the solution to the system of linear inequalities?
Answer:
this is answer
Step-by-step explanation:
To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.
A square has sides with lengths of (x − 1) units. A rectangle has a length of x units and a width of (x − 2) units. Which statements about the situation are true? Select all that apply. A The value of x must be greater than 2. B The difference in the areas is 2x−1. C The area of the square is (x2 − 1) square units. D The area of the rectangle is (x2 − 2x) square units. E The area of the square is greater than the area of the rectangle.
Answer:
A, D, E
Step-by-step explanation:
AREA OF SQUARE
[tex](x - 1)(x - 1) = x^2 - 2x + 1[/tex]
AREA OF RECTANGLE
[tex]x(x - 2) = x^2 - 2x[/tex]
Using this we know that the difference is 1, so B is incorrect. We also know that D and E are correct because we solved for the area. C is also wrong, by the same reasoning. Now, all we need to see is if A is right. Plug in x = 2.
[tex](2)^2 - 2(2) + 1 \\= 4 - 4 + 1 \\= 1[/tex]
Because the area of the square is a square unit larger than the rectangle, the rectangle would have an area of 0, which is impossible, so A is correct.
Help me please
1,894.32 minus 396.00
Answer:
1,498.32
Step-by-step explanation:
1,894.32 - 396.00 = 1,498.32 You subtract 396 from 1,894.32
HELP!!! The box plots compare the speeds of cars traveling on a highway
Answer:
See below ~
Step-by-step explanation:
The statements which are true :
The interquartile range for the cars going South is 9The maximum speed for the cars going North is higher than the maximum speed for the cars going SouthThe interquartile range for the cars going North is higher than the interquartile range for the cars going SouthA Ferris wheel has a diameter of 60 m, with a minimum height of 9 m above the
ground. It takes 20 seconds for the Ferris wheel to complete one rotation. If a rider
boards a car when it is at its lowest point
O: What is the minimum height of the rider?
A: Minimum height of the rider is __ meters.
No Links Or I’ll Report You
By knowing geometrical dimensions, the minimum height of the rider in the Ferris wheel, modeled by a sinusoidal function, is equal to a height of 9 meters.
How to analyze a Ferris wheel
The model of the height of a Ferris wheel is represented by a sinusoidal model, which is presented below:
h = A + B · sin ωt (1)
Where:
A - Midpoint height, in meters. B - Amplitude, in metersω - Angular frequency, in radians per second.t - Time, in secondsSinusoidal functions are bounded functions, the minimum height of the Ferris wheel represents the lower bound of the function and the maximum height is the upper bound. Therefore, the minimum height of the rider is:
[tex]h_{min} = 39\,m - 30 \,m[/tex]
[tex]h_{min} = 9\,m[/tex]
By knowing geometrical dimensions, the minimum height of the rider in the Ferris wheel, modeled by a sinusoidal function, is equal to a height of 9 meters.
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What is the area of this figure? Please help.
The area of the composite figure can be found by summing the whole area that made up the figure. Therefore, the area of the figure is 213.5m²
Area of a composite figureThe area of the composite figure is the sum of the area of the whole figure.
Therefore, the composite figure can be divided into 2 triangles and two rectangles.
Hence,
area of triangle1 = 1 / 2 × 10 × 13 = 65 m²
area of the triangle2 = 1 / 2 × 15 × 7 = 52.5 m²
area of the rectangle1 = 8 × 3 = 24 m²
area of rectangle2 = 7 × 6 = 42 m²
area of rectangle3 = 5 × 6 = 30 m²
Therefore,
area of the composite figure = 65 + 52.5 + 24 + 42 + 30 = 213.5 meters squared
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6!
type in expanded form and multiply
Answer:
see below
Step-by-step explanation:
6! is six factorial
= 6 x 5 x 4 x 3 x 2 x 1 = 720
Factor 2x^3 - 12x^2 + 16x.
A. 2(x^2 - 2)(x - 4)
B. 2x(x - 2)(x - 4)
C. 2(x^2 + 2)(x - 4)
D. 2x(x + 2)(x - 4)
Answer:
B
Step-by-step explanation:
2x(x²-6x+8)=2x(x-4)(x-2)
3. What is the median of this data set
4. Select all expressions that are equivalent to 3⁹ a. 83 b. (3.3) c. (34)²
Answer:
C and B
Step-by-step explanation:
Evaluate all the exponents
3^8: 6,561
8^3 = 512
(3 * 3) ^4 = 6,561
(3^4)^2 = 6,561
Options C and B would work.
Katelyn would like to have some bracelets made for her friends. A bracelet maker charges a flat rate of $4, plus $0.75 per bracelet. Katelyn has saved $29 to for the bracelets.
Please refer to the picture!!
Answer:
b=35 because 4+29=35 and that my statement for this answer so glad with the rest
Please solve with explanation (high points)
Answer:
8.1. h = 17.743514416718 m 8.2. Area of ABCD = 112.912444233369 cm²Step-by-step explanation:
Q8.
Let h be the height of the flagpole
x be the distance between point P and the flagpole.
8.1.
tan(53) = h/x
⇒ h = xtan(53) (1)
On the other hand ,
tan(28) = h/(x+20)
⇒ h = (x+20)tan(28) (2)
Let’s equate equation so (1) and (2) :
⇒ xtan(53) = (x+20)tan(28)
⇒ x = 20tan(28) ÷ (tan(53) - tan(28)) = 13.370697151775
from (1) , we have :
h = xtan(53)
= 13.370697151775×tan(53)
= 17.743514416718
8.2.
Area ABCD = area ABD + area BCD
area ABD = (1/2) AB AD sin(BAD)
= (1÷2)×11×7×sin(110)
=36.178165900258
area BCD = (1/2) DB DC sin(BDC)
firsly , we need to calculate DB (using the law of cosines I need triangle ABD) :
DB² = AB² + AD² - 2AB AD cos(110)
= 11^2+7^2-2×11×7×cos(110)
= 222.671102072153
Then
DB = √(222,671102072153)
= 14.92216814247
Going back ,
area BCD = (1/2) DB DC sin(BDC)
= (1÷2)× (14,92216814247)×16×sin(40)
=76.734278333111
Conclusion :
Area ABCD = area ABD + area BCD
= 36.178165900258+ 76.734278333111
= 112.912444233369
PLEASE HELP WILL MARK BRAINLIEST
Answer:
44.415 degrees
Step-by-step explanation:
find the third side
49 - 25 = 24
square root of 24 =
2√6
law of cosines
missing angle = arccos ((a^2+b^2-c^2)/2ab))
Answer:
Step-by-step explanation:
We know that all angles are equal to 180.
The angle right next to the letter see is a Right Angle that equals 90 degrees.
To find the sum of angle A, we have to do some simple math.
180-90= 90
Then we have two angles left. We have to divide 90 in half.
90/2= 45
then to check your work: 90+45+45= 180
So angle A is 45 degrees.
Please solve (18 points)
Answer:
Ꮎ = 72.123°
Step-by-step explanation:
AC² = BC²+ AB² - 2BC AB x cos (ABC) 4.52 4.12 +3.52 - 2 x 4.1 x 3.5 x cos (8) =
Choose the function that correctly identifies the transformation of f(x) = x2 shifted four units right and seven units down.
Answer:
Ok hello my name is Christopher and I have already done this and the answer is (6,-7)
Step-by-step explanation:
How many fluid ounces are there in 3 pints and 8 fluid ounces?
Answer:
56
Step-by-step explanation:
((3*2)+1)*8
Answer:
1 pint equals 16 ozs. so the answer in 48
When observing a performance or movement pattern, you should break down the complex skills into which of the following:
A. Stylistic parts
B. none of these
C. Component parts
D. Tactical parts
You should break down complex skills into component parts when learning a complex performance or movement pattern.
What does it mean to learn complex skills?
Complex skills could be made up of several components. This makes it difficult to engage in these kind of activities without first undergoing extensive training.
As a result, you should break down complex skills into component elements when learning a complex performance or movement pattern.
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three bells rings at intervals of 30min, 40min and 48min. The bells rang at 1230h.What time, in a. m/p.m, will they ring together next?
Please Answer The Following Question: Write the rational approximation of straight pi correct to two decimal places, where straight pi almost equal to 3.14159265 space
[Note: begin mathsize 12px style straight pi end style is the ratio of a circle's circumference to its diameter.]
Answer:
Most people know Pi up to 2 decimal places (3.14) because you can always refer to the internet for those extra decimal places anytime you want.
Step-by-step explanation:
It's easy to create rational approximations for π. Every time you write down π to a few decimal places, that's a rational approximation.
Depending on the purpose of a calculation, π can be approximated by using fractions for ease of calculation. The most notable such approximations are 22⁄7 (relative error of about 4·10−4) and 355⁄113 (relative error of about 8·10−8).
The function h(x) is a translation of the exponential function g(x) = 2(3)x − 4. What's h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units? Question 11 options: A) h(x) = 4(3)x − 7 + 9 B) h(x) = 4(3)x − 9 + 7 C) h(x) = 4(3)x – 7 + 7 D) h(x) = 4(3)x + 7 − 9
The function h(x) is a translation of the exponential function [tex]g(x) = 2(3)^{x - 4}[/tex] , is [tex]h(x) = 4(3)^{x + 7} - 9[/tex]
What are exponential functions?When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.
There usual form is specified below. They are written in several such equivalent forms.
The function h(x) is a translation of the exponential function given as
[tex]g(x) = 2(3)^{x - 4}[/tex]
We have to determine, the h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward of 9 units, and a horizontal shift to the right 7 units.
The function h(x) is vertically stretched by 2.
[tex]h(x) = 2 (2(3)^{x - 4})\\\\h(x) = 4((3)^{x - 4})[/tex]
Vertically shift upward by 9,
[tex]h(x) = 4((3)^{x - 4})\\\\h(x) = 4((3)^{x - 4})- 9[/tex]
And a horizontal shift to the right 7 units,
[tex]h(x) = 4((3)^{x - 7})- 9[/tex]
The function h(x) is a translation of the exponential function [tex]g(x) = 2(3)^{x - 4}[/tex] , is [tex]h(x) = 4(3)^{x + 7} - 9[/tex]
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At a Forex Bureau, one US dollar costs Ug.sh.2800. How much Ugandan shillings will a tourist who has US dollars 600 get?
Answer:
1,680,000 shillings
Step-by-step explanation:
As one US dollar is 2800, and the dollar is repeated 600 times. You multiply Both
=2,800×600
=1,680,000 shillings
--~Hope you understood~--
Identify the coordinates of the vertex of f(x) = -(x + 5)2 + 8, and identify whether it is an absolute minimum or absolute maximum.
Answer:
It is in vertex form so:
(x-h) + k --> (x-(-5)) + 8 = (x + 5) + 8
(h,k)
(-5, 8)
This equation turns out to be linear. So it would be an absolute maximum probably since negative values of x are greater than positive values of x.
If William spins a spinner and it lands on a "C" 4 out of 7 times, how many times would you predict the spinner will land on a "C" if he spun it 91 times?
Answer:
52 times
Step-by-step explanation:
Probability (C) = 4/7
Multiply with 13 :
C : total = 13 x 4 : 13 x 7 C : total = 52/91This means that if he spun it 91 times, then the spinner would be predicted to land on C 52 times.
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
Answer:
115 degrees
Step-by-step explanation:
180-165
=115
~rere
Answer:
x = 115°
Step-by-step explanation:
Given angle y = 65°
Find angle x
=> x + y = 180
=> x + 65° = 180
=> x = 180 - 65
=> x = 115°
HOPE THIS HELPS AND HAVE A NICE DAY <3
Sketch the line passing through the pair of points and identify the line as having a positive slope, a negative slope, a zero slope, or an undefined slope. (6,2) and (1,2)
Answer:
line will be horizontal running through (0,2)
Step-by-step explanation:
6,2
1,2
2-2/1-6 = 0/-5 = 0 slope. 2 = 0x6+b, 2=b. line will be y=b , y=2.
Which of the following functions matches this graph?
X
-54-3 -2 -1
1 2 3 4 5
a. y = x²
b. y = 3x²
M Ca
a
7 M
T?
U
d.
y
11
--x
10
Answer:
x plus y is 44 to the 99th power
Step-by-step explanation:
