Answers
Answer:
g(x)=2x^2
Step-by-step explanation:
If you look at (1,1) for the blue function then (2,2) for g(x), you can kind of see that it is scaled by 2 (meaning its just twice as big). In another case you can see the blue function passing through (2,4), which matches with the point given to you for g(x), (4,8), which is twice as big.
The function of g(x) = 2x² can be thought of as a scaled version of f(x) = x².
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.
To determine the function of g(x) can be thought of as a scaled version of f(x) = x²
When considering (1,1) for the blue function and (2,2) for g (x),
Its two-scale scaling can be seen in some parts implying that it is simply twice as large.
The blue function is visible in another instance as it passes through (2,4),
which corresponds to the point that was provided for g(x) (4,8),
which is twice as big.
Given that f(x) = x²
then g(x) = 2f(x)
Thus, the function of g(x) = 2x²
Learn more about parabola here:
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Related Questions
A boy saved over $5. His father gave him $2. The boy now had $y altogether. Write an inequality in y
Answers
Answer:
$7 total
Step-by-step explanation:
$5 + $2 = $7
I need it done du the end of the day
Please please
Answers
Answer:
1). Options (B) and (E)
2). First train is going faster than the second train.
Step-by-step explanation:
1). Rate of 2 gallons of vinegar = $3
Therefore, per gallon rate of vinegar = [tex]\frac{3}{2}[/tex] = $1.5
In $3 quantity of vinegar chef will get = 2 gallons
Therefore, quantity of vinegar chef will get in $1 = [tex]\frac{2}{3}[/tex] gallons
Option (A).
Price of 4 gallons = 4 × $1.5 = $6.00
False.
Option (B)
Price of 1 gallon = $1.50
True
Option (C)
Price of 30 gallons = 30 ×$1.5 = $45
False.
Option (D)
In $2 number of gallons of vinegar chef will get = [tex]\frac{2}{3}\times 2=\frac{4}{3}[/tex] gallons
False
Option (E)
Number of gallons of vinegar chef gets in $1 = [tex]\frac{2}{3}[/tex]
True
Therefore, Options (B) and (E) are the correct.
2). Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
For first train,
Speed = [tex]\frac{30}{\frac{1}{3}}[/tex]
= 90 miles per hour
For second train,
Speed = [tex]\frac{20}{\frac{1}{2}}[/tex]
= 40 miles per hour
Since, 90 miles per hour > 40 miles per hour
First train is going faster than the second train.
please complete marking the first answer brainliest!
Answers
Answer:
$31.56
Step-by-step explanation:
$9.85 × 4 = $39.40
$39.40 25% off is $29.55
6.75% rounded to the nearest cent 6.80%
Sales tax is $2.01
$29.55 + $2.01 = $31.56
Im in need of help so please help[ :)))
Pentagon MVEDR is shown on the coordinate grid. Pentagon MVEDR is dilated with the origin as the center of dilation using the rule (x,y)→(23x, 23y) to create pentagon M'V'E'D'R'.
Which statement is true?
Pentagon M'V'E'D'R' is larger than pentagon MVEDR because the scale factor is greater than 1.
Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.
Pentagon M'V'E'D'R' is larger than pentagon MVEDR because the scale factor is less than 1.
Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is greater than 1.
Coordinate plane with 4 quadrants. x-axis runs from negative 6 to 4 and y-axis runs from negative 5 to 5 and arrows on both ends. Pentagon with vertices at M at negative 5 comma 2, v at negative 2 comma 3, e at 3 comma 3, d at 3 comma negative 3, r at negative 2 comma negative 3 Vertices labeled with letters.
Answers
Given:
Consider the pentagon MVEDR is dilated with the origin as the center of dilation using the rule [tex](x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)[/tex] to create pentagon M'V'E'D'R'.
To find:
The correct statement.
Solution:
If a figure dilated by factor k, then the rule of dilation is
[tex](x,y)\to (kx,ky)[/tex]
Here,
If k>1, then the image is larger than the original figure.
If k<1, then the image is smaller than the original figure.
We have,
[tex](x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)[/tex]
Here, M'V'E'D'R' is image and MVEDR is original figure. The scale factor is
[tex]k=\dfrac{2}{3}<1[/tex]
Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.
Therefore, the correct option is B.
Option (B). Pentagon M'V'E'D'R' is smaller than pentagon MVDER because the scale factor is less than 1.
Transformation of a point by dilation: If a point (x, y) is dilated by a scale factor 'k' about the origin,
image point formed will follow the rule,
(x, y) → (kx, ky)
If k > 1, image will be lager than the preimage.If k < 1, image will be smaller than the preimage.
Given in the question,
Rule for the transformation → [tex](x,y)\rightarrow (\frac{2}{3}x,\frac{2}{3}y)[/tex]
Here, [tex]k=\frac{2}{3}[/tex] which is less than 1.
Therefore, image pentagon M'V'E'D'R' will be smaller than the original pentagon MVDER.
Option (B) will be the correct option.
Learn more about the transformation of a figure here,
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What is the slope of -2,-5 and 18,-5
Answers
Answer:
Quadrant III and Quadrant I
Step-by-step explanation:
Answer:
Zero; 0
Step-by-step explanation:
(-5+5)/(18+2) = 0
true or false: the points (6, 13), and (21, 33) and (99, 137) all lie on the same line. th equation of the lines is y + /3x + 5. explain or show your reasoning.
Answers
Answer:
point A (6,13) lies on the equation. True
given point B(21,33) lies on the equation. True
given point C (99, 137) lies on the equation. True
The equation that was given was y = 4/3x + 5
Now,check the given equation for the given points.
1) A (6,13)
Substitute x = 6 in the given equation y = 4/3x +5
y = 4/3(6) + 5 = 4(2) + 5 = 8+5 = 13
y=13
the given point A (6,13) lies on the equation.
2) B (21,33)
Substitute x = 21 in the given equation y=4/3x+5
y=4/3(21) + 5 = 4(7) + 5=28+5=33
y = 33
the given point B(21,33) lies on the equation.
3) C (99, 137)
Substitute x = 99 in the given equation y = 4/3x + 5
y=4/3(99) + 5 = 4(33) + 5 = 132 + 5 = 137
y = 137
the given point C (99, 137) lies on the equation.
There is your answer
A jewelry store buys a gold watch sell.
The price of the watch is marked up 45%
The store sells the watch for $2,610.00.
How much did the jewelry store pay for the watch?
Answers
Answer:
-2565
Step-by-step explanation:
because all you have to do is subtract the percentage and the actual price of the jewelry so yeah he's paid that much money so yeah
-8 + 2/3x + 4 = 2x -5-x
PLEASE FIND WHAT X IS!!! Also, please show steps so I can understand!♀️
I will give brainiest to correct answer WITH STEPS!!!
Answers
Answer:
3
Step-by-step explanation:
Let's isolate x on one side.
2x - x - 2/3x = -8+5+4
1/3x=1
x=3
Answer:
X = 3
Step-by-step explanation:
-8 + 2/3x + 4 = 2x - 5 - x
2/3x - 2x - x = -5 + 8 - 4
-1/3x = -1
x = -1 * -3
x = 3
Jill has a photograph that is 4 inches wide by 6 inches high. If she enlarges it so that the width is 12
inches, what will be the height?
Answers
Answer:
The inches in height will be 18 inches.
Step-by-step explanation:
Okay so we know that the original width is 4 inches and she enlarged that to 12 inches
So what we first have to do is find out how much did the photograph "grow" per se. To find this we have to divide 12 by 4. 12 divided by 4 = 3.
So, the width of the photograph grew "times 3" inches
Now whatever you do to the width you have to do to the height. In this case, what is "3 times" 6 (which is the height). 3 times 6 = 18 inches
So in simpler words 12 divided 4 = 3 x 6 = 18 inches
The inches in height will be 18 inches.
Jill has a square with a width of 12 inches, and a height of 18 inches.
Have a wonderful day!
Candace is considering purchasing a common stock that pays an annual dividend of $3.42 per share. If she purchases 400 shares for $53.18 per share, what would her annual income be from dividends?
Answers
Answer:
$1368
Step-by-step explanation:
Income from dividends = price per share x number of dividends purchased
$3.42 x 400 = $1368
what is the quotient of 4 divided by 1/8
Answers
Answer:
32
Step by step explanation
I need help on this question
Answers
Answer:
A
Step-by-step explanation:
For each question, solve for the length of the unknown side, as
denoted by the variable. You may round your answers to the nearest
tenth, if necessary. Make sure you show all steps needed to solve the
problem.
Answers
Answer:
[tex]a=9[/tex]
Step-by-step explanation:
In this problem, you can use the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex]) to find what a is. The steps are shown below:
Steps (variables a, b, and c are in italics):
-You can rearrange the formula from the Pythagorean Theorem, which is[tex]a^{2} +b^{2} =c^{2}[/tex] to only get a because we want to know what a is.
Rearranged: [tex]a=\sqrt{c^{2}-b^{2} }[/tex] or [tex]a=-\sqrt{c^{2}-b^{2} }[/tex] It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.
-Since we know what c and b are, you can plug them into the new formula:
[tex]a=\sqrt{15^{2}-12^{2} }[/tex]
-Simplify it:
[tex]a=\sqrt{225-144}[/tex]
-Subtract inside the radical:
[tex]a=\sqrt{81}[/tex] Then simplify it to get [tex]a=9[/tex].
You can check your answer by putting a back into the original Pythagorean Theorem formula ([tex]a^{2} +b^{2} =c^{2}[/tex]):
Steps
-Plug a, b, and c into the formula [tex]a^{2} +b^{2} =c^{2}[/tex]:
[tex](9)^{2} +(12)^{2} =(15)^{2}[/tex]
-Simplify to get:
[tex]81+144=225[/tex]
-Add:
[tex]225=225[/tex] This is very true. So our answer is correct.
ANSWER: [tex]a=9[/tex]
Sorry for the long explanation, but I hope you understand and that this helps with your question! :)
Answer:
a = 9Step-by-step explanation:
lets make is short and simple
Pythagorean theorem: a² + b² = c²
a² + 12² = 15²
a² = 15² - 12²
a = √81
a = 9
Which statement is true about the interval from 40 to 50 minutes?
Answers
Answer:
A
Step-by-step explanation:
Hi Someone plz help me ty have a great day.plz see the picture
Answers
Answer:
Your answer is 34 1/2, have a great day and happy holidays!
Step-by-step explanation:
Answer:
34 1/2
if you use the distributive property and multiply 11×3 you would get 33 then multiply 1/2×3 you get 3/2 or 1 1/2 then add 33+1 1/2 and you get 34 1/2. hope this helped.
Simplify by combining like terms. 7x^2 + 2x^3 - 5x^2 + 3x - 4x^3
(someone plz help)
Answers
Answer:
Step-by-step explanation:
2x^2-2x^3+3x
Answer:
Step-by-step explanation:
Add them together
-2[tex]X^3[/tex] + 2[tex]X^2[/tex] + 3x
Solve.
-11 2/3 × (-4 1/5) = ?
A) 49
B) -44 2/15
C) -49
D)-44 2/15
Answers
Answer:
the answer is C
Step-by-step explanation:
i just went over this question like just now
The compound inequality for the graph is _____? This compound inequality is true only if _______?
Answers
Answer:
Option (2)
Step-by-step explanation:
Arrow shown on the left hand side of the number line represents the inequality,
x < 5 [No sign of 'equal to' because arrow starts with a hollow circle]
Arrow given on the right hand side of the number line will represent,
x > 18
And these arrows represent the two solution areas of x, so the composite inequality that represents the graph will be,
x < 5 or x > 18
Option (2) will be the answer.
|8|+|-7| its 15 right?
Answers
Answer:
Yes. |8|+|-7| = 15
Step-by-step explanation:
the absolute cancels out the -, so it would mean that -7 is now positive 7, so yes it'd be 15
f(x) = x + 6
x=-2, 0, and 5
Answers
Answer:
f(x)=x+6
-2+6
4
when x=0
0+6
6
when x=5
5+6
11
Step-by-step explanation:
Finbar invested money in a transportation stock whose growth is modeled by the function f(x) = 0.01(2)x, where x represents number of days. Find the approximate average rate of change from day 11 to day 15.
Answers
Answer:
The average rate of change is 76.8
Step-by-step explanation:
The average rate of change is ;
f(b)-f(a)/b-a
where ; a is 11 and b is 15
f(11) = 0.01(2)^11 = 20.48
f(15) = 0.01(2)^15 = 327.68
The average rate of change will
be;
(327.68-20.48)/15-11 = 307.2/4 = 76.8
Answer:
76.8
Step-by-step explanation:
The average rate of change is f(b)-f(a)/b-aSo u basically do
f(11) = 0.01(2)^11 = 20.48
f(15) = 0.01(2)^15 = 327.68
The average rate of change will be uh 76.8
(327.68-20.48) /1 5-11 = 307.2/4
= 76.8
Hope this helps
~~Wdfads~~
What is the slope of the line?
Answers
Pls help I don’t under stand and I’ve been on this question for 2 hours
Answers
Answer:
Lumberrum2 [tex]x^{2} \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi \alpha \frac{x}{y}[/tex]
Step-by-step explanation:
Answer:
x = 20
p = 144
y = 144
Step-by-step explanation:
Vertically opposite angles are equal.
2x - 4 = 96 - 3x
2x + 3x -4 = 96
5x - 4 = 96
5x = 96+4
5x = 100
x = 100/5
x = 20
2x - 4 = 2*20 - 4 = 80 - 4
= 36
p + (2x - 4) = 180 {linear pair}
p + 36 = 180
p = 180 - 36
p = 144
y = p {vertically opposite angles}
y = 144
As an estimation we are told 5 miles is 8 km.
Convert 100 km to miles.
Answers
Answer:
62.5 miles
Step-by-step explanation:
The answer is 62.5 miles because 5 divided by 8 is 0.625 and 0.625 multiplied by 100 is 62.5
Write the zero that corresponds to the factor (x+5)
Answers
Answer:
0+5
Step-by-step explanation:
Hope this helps. :)
What is the rate of change for y=0.5x+9
Answers
Answer:
0.5
Step-by-step explanation:
The rate of change is the same as the slope. The equation y=0.5x+9 is written in slope intercept form, so 0.5 is the slope.
Answer:
Slope: 0.5
Y - Intercept: (0, 9)
x y
-18 0
0 9
(pretend that's a graph)
Proportional: Ratios are equivalent.
Non-proportional: Ratos are not equivalent.
-18/ 0 is not equal to 0/9.
Undefined =0
Non-proportional
HELP PLEASE what;s the slope of the line?
Answers
Answer:
u didnt even send an attachment
Step-by-step explanation:
Form a union for the following sets.
K=2,3, 5, 8)
L={3, 5, 7)
(3,5)
( )
(2,3,5,7,8)
(2,7,8)
Answers
Answer:
The union of these sets is:
A U B = {2, 3, 5, 7, 8}Step-by-step explanation:
Given the sets
K = {2, 3, 5, 8}L = {3, 5, 7}The union of two sets K and L is the collection of elements that are in K or in L or in both K and L
The 'union' of two sets is denoted by the symbol 'U'.
Therefore, the union of these sets is:
A U B = {2, 3, 5, 7, 8}Important Note: The duplicate or repeated elements of the sets are written only once.
Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation could be used to find h the number of hot dogs and c the number of cookies
Answers
Answer:
[tex]c + h = 5[/tex] and
[tex]0.75c + 1.10h = 4.55[/tex]
Step-by-step explanation:
Assume that Mike bought only cookies and hot dogs.
The total can be represented as:
[tex]Cookies + Hot\ Dogs = 5[/tex] --- (1)
And the amount spent can be represented as:
[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex] --- (2)
Required
Determine the system of equation
Let c represents the number of cookies and h, number of hot dogs.
[tex]Cookies + Hot\ Dogs = 5[/tex] implies [tex]c + h = 5[/tex]
And
[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex]
Cost of cookies = 0.75 * c
Cost of hot dogs = 1.10 * h
So, we have:
[tex]0.75c + 1.10h = 4.55[/tex]
Hence, the equations are:
[tex]c + h = 5[/tex] and
[tex]0.75c + 1.10h = 4.55[/tex]
Solving for c and h
Make c the subject in [tex]c + h = 5[/tex]
[tex]c = 5 - h[/tex]
Substitute 5 - h for c in [tex]0.75c + 1.10h = 4.55[/tex]
[tex]0.75(5- h) + 1.10h = 4.55[/tex]
[tex]3.75- 0.75h + 1.10h = 4.55[/tex]
[tex]3.75 +0.35h = 4.55[/tex]
Collect Like Terms
[tex]0.35h = 4.55 - 3.75[/tex]
[tex]0.35h = 0.8[/tex]
Solve for h
[tex]h = 0.8/0.35[/tex]
[tex]h = 2.28571428571[/tex]
[tex]h =2[/tex] -- approximated
Recall that:
[tex]c = 5 - h[/tex]
[tex]c = 5 - 2[/tex]
[tex]c =3[/tex]
Select all the measurements that are equivalent to 2.4 meters.
0.0024 km
0.024 mm
0.24 cm
240 cm
2,400 mm
Answers
Answer: (A)0.0024 Km (D) 240 cm, (E) 2,400 mm... Hope it helps, have a great day!
Step-by-step explanation:
The measurements that are equivalent to 2.4 meters are
0.0024km, 240cm and 2400mm.
The correct options are (A), (D) and (E).
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.
A unit conversion expresses the same property as a different unit of measurement.
For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given,
measurement = 2.4 meters
1 meter = 1/1000 km
⇒ 2.4 meter = 2.4 /1000 = 0.0024 km
1 meter = 100 cm
⇒ 2.4 meters = 2.4×100 = 240 cm
1 meter = 1000 mm
⇒ 2.4 meters = 2.4×1000 = 2400 mm
Hence, 0.0024km, 240cm and 2400mm are the measurements that are equivalent to 2.4 meters.
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