The new function after reflected across the x-axis and shifts up 2 units is g(x)= -5x³+5.
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.
The given function is f(x)=5x³-3.
When a function f(x) is reflected over the x-axis, it becomes a new function g(x)= -f(x).
The given function reflected across the x-axis and shifts up 2 units.
Now, g(x)= -(5x³-3)+2
= -5x³+3+2
= -5x³+5
Therefore, the new function after reflected across the x-axis and shifts up 2 units is g(x)= -5x³+5.
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- 5/6 * 1/8
Practice and problem solving
Answer:
- 6 and ?/6
Step-by-step explanation:
Just look at my pictute Haha. And btw it is negative because the fractions did not have the same sign as in one was positive and one was negative! Hope I helped! Please give me brainliest! Have a great day Adios. :)
Can someone help me with this to?
Write the equation of the line in slope intercept form that has a slope of -4 and a
y-intercept of -8.
Answer:
y=-4x+-8
Step-by-step explanation:
Put me the brainliest please
Solve the system of linear equations by elimination.
-y-10 = 6
5x +y = -10
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(65,−16)
Equation Form:
x=65,y=−16
Step-by-step explanation:
Hey there!
The solution to the given system is (0, -10)
To solve using elimination, we have to add the equations together, and the "y"s will cancel out, and then solve the equations:
5x - 10 = 6x - 10
Now solve.
Add "10" to both sides:
5x = 6x
Subtract "5x" from both sides
0 = x
Now, we plug in the solved "x" value in an equation to solve for "y".
5(0) + y = -10
y = -10
We now know that the solution to the given system is (0, -10)
Hope this helps! Have an amazing day, and remember, you've got this!!
A doctor collected data on how many hours children of different ages slept in a day. Data for 5 participants are
shown below.
The answers is the picture I posted. I did in khan academy and it was right.
The data values of the scatter plot are (x,y) = (1,13), (2,11), (3, 10), (5,9) and (8,8)
How to represent the table on a scatter plot?The table of values is given as:
x: 1 2 3 5 8
y: 13 11 10 9 8
This means that the data values are:
(x,y) = (1,13), (2,11), (3, 10), (5,9) and (8,8)
See attachment for the scatter plot
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The distance around a closed shape can be expressed as 3 times the length of side s or 3s draw an example of this geometric shape (what shape do I draw)
If the parent function is fx) = x^3 which transformed function is shown in the graph?
A. g(x) = (x-3)2
B. g(x) = (x+3)^3
C. g(x) = x^3 + 3
D. g(X) = x^3-3
Answer:
g(x) = (x-3)³ is the transformed function.
Step-by-step explanation:
Horizontal shift:
If f(x) is the parent function.
Then horizontal shift can be expressed as:
, will shift left units.
[tex]y = f(x - c)[/tex], will shift [tex]f(x)[/tex] right c units.
Given the parent function
f(x) = x³
From the graph, it is clear that the transformed function is indicating that the parent function has been horizontally shifted right 3 units.
Therefore, according to the rule, [tex]y = f(x - c)[/tex]:
g(x) = (x-3)³ is the transformed function.
From the graph,
The Red graph indicates the parent function i.e. f(x) = x³ The Blue graph indicates the transformed function i.e. g(x) = (x-3)³It is clear that the blue graph is obtained when the parent function has been horizontally shifted right 3 units.
Therefore, g(x) = (x-3)³ is the transformed function.
What is the value of y?
Answer:
[tex] {y} = 6\sqrt{3} \:units [/tex]
Step-by-step explanation:
By Pythagoras Theorem:
[tex] {y}^{2} = {(9 + 3)}^{2} - {(6)}^{2} \\ \\ {y}^{2} = {(12)}^{2} - {(6)}^{2} \\ \\ {y}^{2} = 144 - 36 \\ \\ {y}^{2} = 108 \\ \\ {y} = \sqrt{108} \\ \\ {y} = \sqrt{36 \times 3} \\ \\ {y} = \sqrt{ {6}^{2} \times 3} \\ \\ {y} = 6\sqrt{3}\:units [/tex]
Which expression shows the prime factorization of 66? please i need help so bad its a test
Answer:
B
2 times 3 times 11
Step-by-step explanation:
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.
(please look at the photo)
Answer:
8% increase
Step-by-step explanation:
The length after the increase:
30 x 1.1 = 33cm
The width after the increase:
20 x 1.05 = 21cm
New perimeter:
2(33 + 21) = 108 cm^2
Old perimeter:
2(30 + 20) = 100 cm^2
Percentage increase of area:
108 / 100 = 1.08 = 8% increase
Answer:
length_20 cm breadth_30 cm
Step-by-step explanation:
width of the rectangular_ 5/:. length of rectangular_10/:. primeter of rectangular_? now perimeter of rectangular_2(l+b). 2(20+30) __100#
PLEASE HELP!! I just need help with b-d!
Answer:
b) The slope of line is 20
c) The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]
d) i) she would have travelled 1480 m after 74 s
ii) It will take 125 s to travel 2.5 km
Step-by-step explanation:
Part b: Slope of Line
Slope of line can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table we can take any two points and find the slope.
Looking at the graph, the time is x-axis and distance is y-axis
Let we take (0,0) and (8,160)
So, we have: [tex]x_1=0, y_1=0, x_2=8, y_2=160[/tex]
Now finding Slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{160-0}{8-0} \\Slope=\frac{160}{8}\\Slope=20[/tex]
So, the slope of line is 20
Part c) Find the equation in slope-intercept form
The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept
We have found slope, m = 20
We need to find y-intercept.
y-intercept can be found by putting x-axis (time) equal to zero and check what the y-axis (distance) is:
So, when x =0, y=0
So, y-intercept = 0
The equation will be:
[tex]y=mx+b\\y=20x+0\\y=20x[/tex]
The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]
Part d)
Part i) How far will she have travelled after 74 s
We are given time (x) = 74 s
We need to find distance i.e. y:
Using the equation: [tex]\mathbf{y=20x}[/tex]
Put x = 74
[tex]y=20x\\y=20(74)\\y=1480[/tex]
So, she would have travelled 1480 m after 74 s
Part ii) How long will it take to travel 2.5 km
We are given distance (y) = 2.5 km
We need to find time i.e. x:
Using the equation: [tex]\mathbf{y=20x}[/tex]
Since distance is given in meters but here it is in km
So converting 2.5 km into m
We know that 1 km = 1000m
So, 2.5 km = 2500 m
Now finding time:
[tex]y=20x\\2500=20(x)\\x=\frac{2500}{20}\\x=125[/tex]
So, It will take 125 s to travel 2.5 km
The perimeter of a triangle is 24 ft. The second side is two feet longer than the first. The third side is two feet longer than the second. What are the lengths of the sides?
Answer:
6; 8; 10
Step-by-step explanation:
First side: x
Second side: x+2
Third side: x+4
x + x + 2 + x + 4 = 24
3x + 6 = 24
3x = 18
x=6
First side: 6
Second side: 8
Third side: 10
6 pounds of candy cost $22.44 how much does it cost of 10 pounds
Answer:
10 pound=$37.4
Step-by-step explanation:
$22.44 divide by 6 = one pound $3.74
$3.74*10= $37.4
i need help with geometry
Answer:
B. rectangle, square, quadrilateral, parallelogram, rhombus
Step-by-step explanation:
A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles. A trapezoid is a quadrilateral with exactly one pair of parallel sides.
An object dropped from a height of h feet will take t seconds to fall all the way to the ground, according to the
following equation.
16t2 - h = 0
The Eiffel Tower in Paris, France is 900 feet tall.
How many seconds will it take an object dropped from that height to fall all the way to the ground?
Answer:
7.5 seconds.
Step-by-step explanation:
16t^2 - h = 0
16t^2 - 900 = 0
t^2 = 900/16
t = √900/√16
= 30/4
= 7.5 seconds.
#Homework Help Please
Answer:
can you take a picture of the options?
Step-by-step explanation:
how do you do this , i need help!!
Answer:
i dont know
Step-by-step explanation:
Answer:
112º
Step-by-step explanation:
(you may need a calculator for this)
first let's start with what we know, we know a triangle has 180º. We also know a line has 180º. if you know the line has 180º, then ? + 126 º = 180º. so if you subtract 126 from 180, you get 54. now lets look at the triangle, we know the triangle has 180º in total. we already know one angle is 58º, and we just figured out the other is 54º. if you do 54+58, you get 112. remember, the triangle has 180 degrees in total, and two of them equal 112º, so 180 - 112 is 68. almost there! now we have to do the line trick again, because on the line, 68 + x = 180. 180- 68 is 112, so the answer is 112º. Hope this helps :D
Could you guys help me with this I’m stressed out ill give brainliest please don’t answer if you don’t know thank you
Answer:
$146.66
Step-by-step explanation:
I bopped this into a percentage calculator and this is what I got
Which is the volume of water in the fish tank shown rounded to the nearest
hundredth?
Answer:
4.69ft³
Step-by-step explanation:
1.5×2.5×1.25=4.69
Describe the strength and sign of the relationship you expect for each pair of variables. Explain your reasoning.
Used car price and original sale price of the car.
Used car price and number of cup holders in the car.
Used car price and number of oil changes the car has had.
Used car price and number of miles the car has been driven.
Answer:
i dont get it
Step-by-step explanation:
4. The money in Mrs. Finch’s savings account is earning 1.45% interest. Which number below is greater than 1.45%
A) 0.009
B) 0.019
C) 0.0032
D) 0.0117
Help pls ill mark brainliest
Answer:
<XWY= 180-23
Step-by-step explanation:
angles on a straight line add up to 180!
hope it helps! please mark me brainliest
thank you! have a good day ahead
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6 and 6x are like terms
true or false
Answer:
False
Step-by-step explanation:
Like terms have the same variable and are raised to the same exponent, and 6x has a variable of x while 6 has none at all, so they are not like terms.
PLEASEEEEEEE HELPPPPPPPPPPPPP
A,paper crane B, 6
Step-by-step explanation:
the inequality sign is less than or squeal the highest number u can get is 6 before going higher than 30
Solve the following system of equations:
y=2x + 1
y = -x+4
x= ?
y=?
Answer:
x= 1, y=3
Step-by-step explanation:
y= 2x +1
y= -x +4
Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.
so y= 2x+1 but y is -x+4 so substitute
-x+4 = 2x +1, add x on both sides
4= 2x+x +1, subtract 1 from both sides
4-1 = 2x +x, combine like terms
3 = 3x , divide both sides by 3
x=1
if x=1 we substitute in y= -1 +4 = 3
On Saturday, Darnel earned $65 raking his neighbor's leaves and cleaning her garage. On Sunday, he earned $25 helping another neighbor rake leaves. He deposited his earnings in his bank account on Monday. What was the total change in Darnel's bank account relative to where it started?
Answer:
$90
Step-by-step explanation:
Calculation for the total change in Darnel's bank account relative to where it started
Based on the information given what will be the total change in Darnel's bank account relative to where it started will be the total amount he earned on both Saturday and Sunday
Total change=$65+$25
Total change=$90
Therefore the total change in Darnel's bank account relative to where it started will be $90
(x^3+3x^2-x+2)/(x-1)
Answer:
x^2 + 4x + 3 with a remainder of 5
Help I don’t get it
Math
Answer:
Thats right
Step-by-step explanation:
You typed the right answer :/
Need help asapppppppp
Answer:
It is not a function.
Step-by-step explanation:
Input (x)
Output (y)
An input can never have two outputs
2 = 20
2 = 40
makes it not a function
10,10,10,20 i hope that helps but if not its cause i dont really understand the question
please help
g(x) = -x - 1
Answer:
g(x) = -1
Hope this helps.
Step-by-step explanation: