Answer: Choice A
Explanation:
Notice that the point (1,1) is on the blue f(x) curve. Then it jumps to (1,4) on the black g(x) curve. This is a jump of "times 4".
So we can say,
g(x) = 4*f(x)
[tex]g(x) = 4*\sqrt[3]{x}[/tex]
This results in the g(x) curve being 4 times taller or 4 times more vertically stretched out compared to the f(x) curve.
-------------
Side notes:
Choices B and C handle vertical and horizontal translations (aka shifting) in that order.Choice D is the opposite of choice A, and it will apply a vertical dilation to vertically squish the blue curve to be even shorter than it shows.The function g(x) is a transformation of the cube root parent function f(x) is [tex]g(x)=4\sqrt[3]{x}[/tex]. Therefore, option A is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Notice that the point (1,1) is on the blue f(x) curve. Then it jumps to (1,4) on the black g(x) curve. This is a jump of "times 4".
So we can say,
g(x) = 4f(x)
[tex]g(x)=4\sqrt[3]{x}[/tex]
This results in the g(x) curve being 4 times taller or 4 times more vertically stretched out compared to the f(x) curve.
Choices B and C handle vertical and horizontal translations (aka shifting) in that order.
Choice D is the opposite of choice A, and it will apply a vertical dilation to vertically squish the blue curve to be even shorter than it shows.
Therefore, option A is the correct answer.
To learn more about the function visit:
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One of the legs of a right triangle measures 9 cm and the other leg measures 2 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
Approximately 9.2
Step-by-step explanation:
For right triangle, if you know 2 sides, you can find the third using pythagorean theorem, a^2 + b^2 = c^2. 'a' and 'b' are the lengths of the legs, while 'c' is the hypotenuse. You can plug in what you know into this formula:
9^2 + 2^2 = c^2
81+4 = c^2
c = √85, or approximately 9.2
Help ME PLS IM FAILING PYTHAGOREAN THEOREM I NEED HELP NOW
Answer:
3.9
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse
7^2 + h^2 = 8^2
49 + h^2 = 64
h^2 = 64-49
h^2 = 15
Taking the square root of each side
sqrt(h^2) = sqrt(15)
h = 3.87298
To the nearest tenth
h = 3.9
(a+2b)^2
.............
Answer:
a^2 +4ab+4b^2
Step-by-step explanation:
(a+2b)^2
(a+2b)(a+2b)
FOIL
first: a*a = a^2
outer: a*2b = 2ab
inner: 2b*a = 2ab
last: 2b*2b = 4b^2
Add them together
a^2 +2ab+2ab+4b^2
Combine like terms
a^2 +4ab+4b^2
Answer:
Solution given:
(a+2b)²
we have
by using formula
(a+b)²=a²+2ab+b²
so
we get
a²+2*a*2b+(2b)²
=a²+4ab+4b²
What is the product of the fractions below?
Answer:
B
Step-by-step explanation:
6/11 * 7/3 = 6*7/11*3 = 42/33
We can simplify this by dividing both by 3.
42/3 = 14
33/3 = 11
So we get 14/11
A rectangular swimming pool has length 15w - 1 feet and width 9w + 2 feet. Find the perimeter of the pool.
Answer:
48w +2
Step-by-step explanation:
Perimeter of a rectangle=2( length+width)
=2(15w-1+9w+2)
=2(24w+1)
=48w+2
Convert 5700 milligrams into pounds. Round your answer to the nearest hundred
Answer:
It should be 0.012566 rounded
Step-by-step explanation:
Answer:
0.01 pounds
Step-by-step explanation:
A milligram is approximately 2.2046e-6 pounds (which is really small), so 5700 milligrams is around 0.012566 pounds. Also, did you mean "hundredth"?
WHATS YOUR TIKTOKKK OMG I WANT MUTUALS
An internet company reported that its earnings will be less than the 24 cents per share that was predicted
Answer:
p < 0.24
Step-by-step explanation:
If earning is 24% less Than predicted, this means that the we can represent the predicted earning with a variable, p
If the predicted earning = p
Then, the actual earning can be represented by the inequality ; p < 24%
p < 0.24
convert 72° into grades.
Answer:
[tex]72in \: grades = > 1degree = \frac{10}{9} \times 72 \\ 72degree = \frac{10}{9} \times 72grades \\ 7degre = 80grades \\ thank \: you[/tex]
A. Find x
B. Find the measure of angle b
C. Find the measure of angle c
Answer:
3, 50 and 70
Step-by-step explanation:
Using exterior angle property, we have 15x+5+22x+4=120, 37x+9=120. x=3
B=15x+5=50
C=22x+4=70
Find the angle between the hands of a clock at 5:15
Answer:
67.5
Step-by-step explanation:
Answer:
the hour hand and minute hand on a 12-hour clock at 5:15. Again, the two angles created by the hour hand and minute hand at five-fifteen are 292.5 degrees and 67.5 degrees.
Step-by-step explanation:
Help !
1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are
green and 4 pencils are brown
a. If a pencil is picked at random, what is the probability that the pencil
will be orange?
b. If a pencil is picked at random, what is the probability that the pencil
will be green?
c. If a pencil is picked at random, what is the probability that the pencil will be red?
d. If a pencil is picked at random, what is the probability that the pencil
will be brown?
e. If a pencil is picked at random, what is the probability that the pencil
will be brown or red?
Answer:
a. p(orange) = 5/14
b. p(green) = 3/14
c. p(red) = 1/7
d. p(brown) = 2/7
e. p(brown or red) = 3/7
Step-by-step explanation:
1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are green and 4 pencils are brown.
p(color) = (number of pencils of that color)/(total number of pencils)
p(color) = (number of pencils of that color)/14
a. If a pencil is picked at random, what is the probability that the pencil
will be orange?
p(orange) = 5/14
b. If a pencil is picked at random, what is the probability that the pencil
will be green?
p(green) = 3/14
c. If a pencil is picked at random, what is the probability that the pencil will be red?
p(red) = 2/14 = 1/7
d. If a pencil is picked at random, what is the probability that the pencil
will be brown?
p(brown) = 4/14 = 2/7
e. If a pencil is picked at random, what is the probability that the pencil
will be brown or red?
brown: 4
red: 2
brown or red: 4 + 2
p(brown or red) = 6/14 = 3/7
The function fx) = 5 reflected over the y-axis. Which equations represent the reflected function? Select two
Answer:
y=5
Step-by-step explanation:
f(x) =5 is a line with the equation y=5
when reflected over the y-axis is still y= 5, because we reflected on to itself.
Is {3,…} a defined set
Answer:
No it is not a collection of well defined and distinct objects
Hope this helps <3
Keisha has completed 72 math problems in her SHSAT practice workbook. This is 24% of the total number of math problems in the workbook. How many math problems are in the workbook?
Answer:
300
Step-by-step explanation:
Just because it makes sense.
Answer:
300
Step-by-step explanation:
Just because it makes sense. and you would get the answer that i did as well
I NEED HELP QUICK PLEASE! D:
Jamie is taking the tests needed to join the math group. His scores were 89, 92, 94. What's the lowest score he can get on the fourth test and still have a 90 average?
It would have to be 85
Answer:
85
Step-by-step explanation:
(89+92+94+ x)/4>90
(275+x)/4>90
275+x>90
x> 85
please help me!!
how many times does 10% go into 34,950,101?
Answer:
10
Step-by-step explanation:
If you multiply 10% of 34,950,101 by 10, you will get the value of 34,950,101.
The probability of winning a card game is an example of theoretical probability.
True or False
Answer:
nice answer
Step-by-step explanation:
true because there is every assurance that you might lose or win
ASAP 10 POINTS
Using the same application you used in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally, translate it down to 2 units. What is the relationship between the original line segment and the transformed line segment? If you transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?
It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
If the point is in first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
It is given that in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise.
Also No effect as we assumed rotation is being with respect to origin.
Finally, translate it down to 2 units.
Therefore, It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.
Learn more about rotation of a point with respect to origin here:
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Consider the function ƒ(x) = x2. Which of the following functions shifts ƒ(x) downward 5 units and to the right 3 units?
A)
ƒ(x) = (x – 5)2 – 3
B)
ƒ(x) = (x – 3)2 – 5
C)
ƒ(x) = (x + 3)2 – 5
D)
ƒ(x) = (x – 5)2 + 3
Answer:
B
Step-by-step explanation:
f(x)=(x+3)2 3 units to the left
f(x)=(x-3)2 3 units to the right
f(x)=(x)2+5 upward 5 units
f(x)=(x)2-5 downward 5 units
Combine and simplify these radicals. 160 40
I AM TIMED!!!
Answer:
200
hope it help
Answer:
160
Step-by-step explanation:
got it right
Is 100.1 rational or irrational
Answer:
It's rational number
Step-by-step explanation:
if a number is non stop it is irrational
it a number stops as it stopped here at 1 so it's a rational number
Answer:
Rational
Step-by-step explanation:
It's a decimal with no recurring digits:)
-32=8n I need help please
Answer:
n = -4
Step-by-step explanation:
-32=8n
Divide each side by 8
-32/8 = 8n/8
-4 = n
- 32 = 8n
Cross multiplying we get
n = -32/8
n = -4
Henceforth, the required solution is -4The domain of a function can be represented by which one of the following
options?
A. a set of F(x) values
B. a set of both input and output values
C. a set of input values
D. a set of output values
Answer: C. a set of input values
The domain is the set of allowed x values, aka input values.
With fairly many domain problems, one thing to look out for are things like potential division by zero issues. For example, if you had the function f(x) = 2/(x-3), then we want to avoid the denominator x-3 from being zero. Because x = 3 makes x-3 equal to zero, this means we must kick x = 3 out of the domain; however, any other real number will work. This example function therefore has the domain of any real number but 3.
Square roots are another thing that often comes up with domain problems. One example could be g(x) = sqrt(x+5). We'd want the x+5 to never be negative. Solving [tex]x+5 \ge 0[/tex] leads to [tex]x \ge -5[/tex] to tell us what set of input x values we can plug in: namely anything -5 or larger.
Other types of domain problems can occur, but those two types are most common in my experience.
The set of whole numbers and their opposites are known as ?
Solve for U 11+15u=-7+13u
Help fast please
Answer:
-9
Step-by-step explanation:
11+15u=-7+13u
or, 15u-13u = -7-11
or, 2u = -18
or, u = -9
Answered by GAUTHMATH
find the missing side lengths
Answer:
Step-by-step explanation:
Because it is a 45-45-90 triangle
b=5
a= 5[tex]\sqrt{2}[/tex]
Can someone give me the answer asap thanks.
D. 2x⁶y²
This is the equivalent expression.
Find the length of the third side. If necessary, round to the nearest tenth.
20
28
Answer:
Submit Answer
attempt 1 out of 2
PLS HELP ASAP
Answer:
b = 19.6
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
20^2+ b^2 = 28^2
400 + b^2 = 784
b^2 = 784-400
b^2 =384
Taking the square root of each side
sqrt( b^2) = sqrt(384)
b =19.59591794
To the nearest tenth
b = 19.6
Answer:
19.6
Step-by-step explanation:
It is a right triangle so use the pythagorean theorem; a^2 + b^2 = c^2
a=20
b=?
c=28 - c is the hypotenuse because it is across from the right angle
20^2 + b^2 = 28^2
400+ b^2 =784
b^2=384
b= 19.595917... or 19.6 (rounded to nearest tenth)
I’ll give brainlist to whoever is right!!!
Answer: Choice C
(-19/2, -33/2)
=========================================================
Explanation:
We'll plug the second equation into the first one
In other words, we'll replace every copy of y with 3x+12 and solve for x
This is an example of the substitution rule.
x-y = 7
x-( y ) = 7
x - (3x+12) = 7
x - 3x - 12 = 7
-2x - 12 = 7
-2x = 7+12
-2x = 19
x = -19/2
Based on this alone, we can see the answer must be choice C. No other answer choice has this x coordinate.
-----------------------------------
If you want to find y based on this x value, then,
y = 3x+12
y = 3(-19/2)+12
y = -57/2 + 12
y = -57/2 + 24/2
y = (-57+24)/2
y = -33/2
This fully confirms choice C is correct.
So we have x = -19/2 and y = -33/2 pair up to get us (-19/2, -33/2)
In decimal form, this would be (-9.5, -16.5)
Answer:
3. (-19/3, -33/2)
You have to make a equation system :
[tex]\left \{{{x - y = 7} \atop { y = 3x + 12}} \right. <=> \left \{{{y = x - 7} \atop { y = 3x + 12}} <=> x-7 = 3x + 12 <=> 3x -x = -7 - 12 <=>[/tex] [tex]2x = -19 <=> x = -19/2[/tex]
Replacing x=-19/2 in the first equation (it's the easiest to solve) :
[tex]y = -19/2 - 7 <=> y =-19/2- 14/2 <=> y = -33/2[/tex]