Explain how to modify the graphs F(x) and g(x) to graph the solution to set the following system of inequalities. How can the solution set be identified? Y>x^2-1
Y<-x^2+4
Answers
The following rigid transformations are applied:
Reflection around the line y = -1.Translation 5 units in the +y direction.The solution set is found by the fact that the domain of quadratic functions is the entire real domain.
How to apply rigid transformations to understand the differences between two given functions
According to the Euclidean geometry, rigid transformations are those transformations applied on geometrical loci such that Euclidean distances are conserved in every point of the loci. Reflections and translations are sound examples of rigid transformations.
In this question we must derive all needed rigid transformations to turn f(x) into g(x), both quadratic functions. After a careful analysis we conclude that the following rigid transformations are applied:
Reflection around the line y = -1.Translation 5 units in the +y direction.The solution set is represent by all x-values such that the function exists. According to real algebra we remember that the domain of quadratic functions is the real domain. Thus, the solution sets of f(x) and g(x) are the real domain.
To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538
Related Questions
I NEED HELP ANSWERING THIS QUESTION PLEASE HELP!!
Answers
2Answer:
a. 68%
b. 95%
c. 2.35%
Step-by-step explanation:
empirical rule is the
68–95–99.7 rule
a. 68%
b. 95%
c. 99.7 - 95 = 4.7 then 4.7/2 =
2.35%
Which expression represents the area of the base of the pyramid? startfraction 3 v over h endfraction units2 (3v – h) units2 (v – 3h) units2 startfraction v over 3 h endfraction units2
Answers
The expression that represents the area of the base of the pyramid(right pyramid) is given by: Option A: 3v/h unit²
What is a right rectangular pyramid?A right rectangular pyramid is a pyramid, with four slant sides, and a rectagular base, such that all the sides are congruent and the vertex is atop of the midpoint of the base rectangle.
How to find the volume and base's area of a right rectangular pyramid?Suppose the base of the pyramid has length = l units, and width = w units.
Suppose that the height of the pyramid is of h units, then:
[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex] is the volume of that pyramid.
The base is a rectangle with length = L units, and width = W units, so its area is:
[tex]b = l \times w\: \rm unit^2[/tex]
Thus, we can express the area of its base in terms of its volume as:
[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3 = \dfrac{b\times h}{3}\\\\3v = b\times h\\\\\\b = \dfrac{3v}{h} \: \rm unit^2[/tex]
Thus, the expression that represents the area of the base of the pyramid (right pyramid) is given by: Option A: 3v/h unit²
Learn more about right rectangular prism here:
https://brainly.com/question/3712320
Answer:
3V/h units^2
Step-by-step explanation:
PLEASE HELP!! I'LL GIVE YOU BRAINLIEST
What is the value of x in the figure?
Enter your answer in the box.
x =
Answers
Answer:
29 is the correct answer because subtract 90 from 61 we get 29
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEAnswer:
29°
Step-by-step explanation:
We know that both angle x and angle "61°" add up to a sum of 90° because it is a right angle.
So, we would have to subtract 61 from 90 to find the missing value.
90 - 61 = 29
Therefore, x equals 29°
-kiniwih426
)) What is the area of this figure?
5 mm
7 mm
6 mm
9 mm
7 mm
16 mm
3 mm
10 mm
)) Write your answer using decimals, if necessary.
1))
square millimeters
Answers
credit card cash advance
borrow: $300
rate: 18% per year
time: 6 months-,5
300
6
Answers
Answer:
Assuming the question is how much interest you will pay in the given time frame with the given terms.
Step-by-step explanation:
Borrowed $300
18% per yr = 18/12 = 1.5% per month
You borrowed for 6 months so you will end up paying 1.5%*6 =9% in interest
$300*(9% or 0.09) = $27 in interest paid + $300 in principal paid if paid off in 6 months.
Total $327.
If this was an economics class you would also have to factor in the depreciation of the principal amount month to month with minimum payments but I am guessing this is just a basic question so the above answer is correct enough.
Help!
1. In ceramics class, Robert made a cone with a radius of 2.5 inches and a height of 9 inches. What was the volume of the cone?
Use ≈3.14 and round your answer to the nearest whole number.
2. Later, Robert made a cylinder with the same radius and height as the cone. What is the volume of the cylinder?
Use ≈3.14 and round your answer to the nearest whole number.
3. Complete the sentence below that describes the relationship between the volumes of the cone and cylinder. Use a whole number.
The cone and cylinder have the same height and radius, so the volume of the cylinder is
____ times the volume of the cone.
Answers
The volume of the cone is 58.875 cubic inches. The volume of the cylinder is 176.625 cubic inches. The volume of the cylinder is three (3) times the volume of the cone.
What is the volume of a cone and cylinder?
The volume of a cone is equal to one-third (1/3) of the area of the circular base as well as the height product.
Mathematically, the volume of a cone can be expressed as:
[tex]\mathbf{V_{cone} = \pi r ^2 \dfrac{h}{3} }[/tex]
where;
radius = 2.5 inchesheight = 9 inches[tex]\mathbf{V_{cone} = 3.14 \times (2.5 ^2)\times \dfrac{9}{3} }[/tex]
[tex]\mathbf{V_{cone} = 3.14 (2.5 ^2)\times 3 }[/tex]
[tex]\mathbf{V_{cone} =58.875\ inches ^3}[/tex]
The volume of a cylinder implies the amount of quantity of material being carried in the cylinder. The volume of the cylinder can be expressed as:
V = πr²h
V = π(2.5)² × 9
V = 3.14 × (2.5)² × 9
V = 176.625 inches³
The volume of the cylinder is three times the volume of the cone because:
[tex]\mathbf{=\dfrac{176.625 \ in^3}{ 58.875\ in^3}}[/tex]
= 3
Learn more about the volume of cone and cylinder here:
https://brainly.com/question/1310192
I'LL GIVE BRAINLIEST AND 100 POINTS| Which answer choice correctly completes the sentence? When solving a story problem, the first step is to
A. guess the correct answer and then check to see if you are correct.
B. write the facts, organize your thoughts and then define your strategy.
C. identify what you need to do to solve the problem.
D. read the problem carefully and find the question.
Answers
Answer:
D read the problem carefully and find the question. :)
Have an amazing day!!
Please rate and mark brainliest!!
option C and D (C is actually)
So steps are
First read the story problem completelyThen find out what do you need to solve and what else you have givenThen solve that outOk i promise last question today guys number 24 and 26 pls ur reason for awnsering this correctly is bc ur gonna earn my 50 last points! Thank u hope its clear to read (dont mind my crusty fingers)
Answers
59.9-5 = 54.9
54.9/2 = 109.8
26)
2* 8.45 = 16.9 for two cartridges
35-16.9 = 18.1 amount left after buying cartridges
18.1 / 5.99 = 3.16
so, 3 disk packs.
Making late payments on credit card bills has what kind of effect on a person's credit score?
a
Late payments have a negative effect on a person's credit score.
b
Late payments have a positive effect on a person's credit score.
c
Late payments do not affect a person's credit score.
Answers
Answer:
A. Late payments have a negative effect on a person's credit score.
Step-by-step explanation:
Hope this Helps!
Answer:
A late payments have a negative effect on a persons credit score
Step-by-step explanation:
A credit score is basically the trust banks have with you or the potentiality that you will pay them back. Making late payments will obviously lower the banks reliability on you to pay your bill ontime and in full.
what is the difference in the length between the longest meter in the shortest meter
Answers
Answer:
1 5/8 inches
Step-by-step explanation:
Hey there!
The question is asking what the difference in the length between the longest meteor and the shortest meteor is.
In the chart, the smallest measurment is 2/8 and the largest is 1 7/8
So in order to solve this you need to subtract these two values
we can convert 1 7/8 to 15/8 to make the subtraction more simple
15/8-2/8=13/8 which is 1 5/8
So the difference between the longest and shortest meteor is 1 5/8 inch
Answer: 1 5/8.
Step-by-step explanation: The longest one is 1 7/8 and the shortest one is 2/8. Both are circled below. To figure this problem out, we need to find the difference of the longest and shortest meteors, also known as a subtraction problem. The work is done below:
1 7/8 - 2/8 = 1 5/8.
Hope this helps! :)
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Explanation. 1 + 2= 3 and 1/6+2/6=3/6. 3/6 is equivalent to 1/2. So the answer is 3 1/2
Answer:
The Answer is 3 1/2 or C
Step-by-step explanation:
2+1=3
1/6+2/6=3/6
3/6 = 1/2
3 + 1/2 = 3 1/2
I Need help asap!!!!!!!!!!!!!!!!!!
Answers
Answer:
The answer of how many cars is 23
What is the slope of the line whose equation is -2y = -4x + 5
Answers
Answer:
2
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-2*y-(-4*x+5)=0
STEP 1:
Pulling out like terms
1.1 Pull out like factors :
-2y + 4x - 5 = -1 • (2y - 4x + 5)
Equation at the end of step 1:
STEP 2:
Equation of a Straight Line
2.1 Solve -2y+4x-5 = 0
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -2y+4x-5 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 5/-2 so this line "cuts" the y axis at y=-2.50000
y-intercept = 5/-2 = -2.50000
Calculate the X-Intercept :
When y = 0 the value of x is 5/4 Our line therefore "cuts" the x axis at x= 1.25000
x-intercept = 5/4 = 1.25000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.500 and for x=2.000, the value of y is 1.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.500 - (-2.500) = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 2
Geometric figure: Straight Line
Slope = 2
x-intercept = 5/4 = 1.25000
y-intercept = 5/-2 = -2.50000
Answer:
2
Step-by-step explanation:
y=mx+b where m is the slope
to get y by itself you divide both sides by -2 resulting in
y= 2x+(-5/2)
2=m
Can someone help me please, its for plato algebra 2-1
Answers
Answer:
5
Step-by-step explanation:
Simplification:
[tex]\sqrt{2^3-7} + |-4|[/tex]
[tex]\sqrt{1} + 4[/tex]
1 + 4
5
The kite below is formed by four right triangles. If AB= 3, DE= 12, and AB = BC = DB, what is the area of the kite?
Answers
Answer:
50.46???
Step-by-step explanation: im bad at this so if it help ima be proud nut uhhh i tryed ...
What is the value of x^2+y^2 given the following system?
x+y=10
x-y=8
Answers
Answer:
I hope this helps, you can ask any questions for clarification
Use the calculator to find the product of 4.17 and 2.3 × 106. Which statements are true about finding the product? Check all that apply.
4.17 is equivalent to 4.17 × 100.
4.17 is equivalent to 4.17 × 101.
The product has a positive exponent.
The coefficient is 6.
The E in the product is the indicator that the solution is in scientific notation.
The exponent of the product is the product of the original exponents.
PLSSS HELP
Answers
Answer:
I'm assuming that "106" is really 10^6Step-by-step explanation:
4.17 is equivalent to 4.17 × 100. NO 4.17 x 100 = 417
[If this is really 4.17 is equivalent to 4.17 × 10^0. Then YES. 10^0 = 1]
4.17 is equivalent to 4.17 × 101. NO 4.17 x 101 = 421.17
Again, if this is 10^1, then no. 10^1 = 10
The product has a positive exponent. YES
The coefficient is 6.
Coefficient? NO. Exponent? Then YES
The E in the product is the indicator that the solution is in scientific notation. YES 4.17E6 is 4.17 x 10^6
The exponent of the product is the product of the original exponents.
NO. In multiplication, the exponents are added (as long as they have the same base)
EDGE 2022
x^2-8x+16=3 solve using square roots
Answers
Answer:
x = 4 ± [tex]\sqrt{3}[/tex]
Step-by-step explanation:
x² - 8x + 16 = 3 ← the left side is a perfect square
(x - 4)² = 3 ( take square root of both sides )
x - 4 = ± [tex]\sqrt{3}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{3}[/tex]
Find the area of the shaded region. Round to the nearest hundredth where necessary (2 decimal places
A=(
6 in
1
14 in
26 in
15 in
Answers
Answer:
117 in²
Finding the area of the trapezoid:
First, we need to find the area of the trapezoid formed by the dotted lines. The formula for finding the area of the trapezoid is "(a₁ + a₂)h/2".
[Where, a₁ = shorter parallel side; a₂ = longer parallel side]
⇒ (a₁ + a₂)h/2 = Area of trapezoid
⇒ (14 + 26)15/2 = Area of trapezoid
⇒ Area of trapezoid = (40)15/2 = (20)15 = 300 in²
Reviewing on how to find the area of the unshaded region:
To find the area of the shaded region, we need to subtract the area of the unshaded region from the area of the trapezoid. In this case, the unshaded region is a triangle whose base is 26 inches. To find the area of the triangle, we need to use the formula 1/2 x Base x Height. We are given the base, but the height is unknown.
Determining the height:
We are given a small side length "6 inches" and the height of the trapezoid "15 inches". If we subtract the small side length from the height of the trapezoid, we will obtain the height of the triangle.
⇒ Height of trapezoid - Small side length = Height of triangle
⇒ 15 - 6 = Height of triangle
⇒ 9 in = Height of triangle
Determining the area of the unshaded region:
Now, let's substitute the base and the height in the formula to find the area of the triangle
⇒ 1/2 x Base x Height
⇒ 1/2 x 26 x 9
⇒ 13 x 9
⇒ 117 in²
Determining the area of the shaded region:
Finally, let's subtract the area of the unshaded region from the area of the trapezoid to obtain the area of the shaded region.
⇒ Area of trapezoid - Area of unshaded region = Area of shaded region
⇒ 300 - 117 = Area of shaded region
⇒ 183 in² = Area of shaded region
Solve this equation, 2.5y = 13.75 Explain pleaseeeee
I'll give 25 points i'm desperate...
Answers
Answer:
5.5
Step-by-step explanation:
13.75 divided by 2.5 = 5.5
Does someone know how to do this? I only have a few hours before I have to turn this in
Answers
Answer:
Check out the attached photo it might help
2m · 2n would be the same as _____.
A) 4 mn
B) 2 m + n
C) 2 mn
D) 2 m - n
Answers
Answer:
A) 4mn
Step-by-step explanation:
2m × 2n = 4mn
I hope this helps!
so
x+y=24
x=2y
I need step by step ple
Answers
Answer:
y = 8x = 16Explanation:
x + y = 24x = 2(y)solve, insert equation 2 into 1
2(y) + y = 243(y) = 24y = 8Find x:
x = 2(y)
x = 2(8)
x = 16
Answer:
y = 8
x = 16
Step-by-step explanation:
Given equations:
x + y = 24x = 2yReorganize the equations:
[tex]\left \{ {{x + y = 24} \atop {x = 2y}} \right.[/tex]
[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]
Subtract:
[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]
[tex]{ {{[x - x] + [y - (-2y)]= 24 - 0}[/tex]
[tex]{ {{x - x + y + 2y= 24}[/tex]
[tex]3y= 24}[/tex]
Divide 3 both sides:
[tex]\dfrac{3y}{3} = \dfrac{24}{3} }[/tex]
[tex]y = 8[/tex]
Substitute y in any equation:
[tex]x = 2(y)[/tex]
[tex]x = 2(8) = 16[/tex]
Use DeMoivre's Theorem to find the square roots of 4(cos90+ i sin 90). Show your work.
Answers
Answer:
Procedure 6.3. 1:Finding Roots of a Complex Number
Express both z and w in polar form z=reiθ,w=seiϕ. ...
Solve the following two equations: rn=s. ...
The solutions to rn=s are given by r=n√s.
The solutions to einθ=eiϕ are given by: nθ=ϕ+2πℓ,forℓ=0,1,2,⋯,n−1. ...
Using the solutions r,θ to the equations given in (6.3.
Step-by-step explanation:
Answer:-1.79229446 + 3.57598665 i
Step-by-step explanation:
I will honest this how much I can help you
The sum of the squares of the odd integers between 0 and 100.
Using summation notation
Answers
Answer:
166,649.
Step-by-step explanation:
49
∑ (2n + 1)^2 = 4∑n^2 + 4∑n + 49
0
= (4/6)n(n +1)(2n + 1) + 4/2 n(n + 1) + 49
= 2/3 * 49* 50 *99 + 2*49*50 + 49
= 161700 + 4900 + 49
= 166649
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answers
Answer:
24
Step-by-step explanation:
Pythagorean Theorum: [tex]a^2+b^2=c^2[/tex]
Solving:
[tex]a^2+7^2=25^2[/tex]
[tex]a^2+49=625[/tex]
[tex]a^2=579[/tex]
[tex]\sqrt{a^2} = \sqrt{579}[/tex]
[tex]a=24[/tex]
Checking:
[tex]24^2+7^2=25^2[/tex]
Answer:
24
Step-by-step explanation:
Use the Pythagorean Theorem:
A^2 + B^2 = C^2
See the attached image.
AABC is equilateral.
AB = 22x-33 and AC = 7x + 57.
=
B
A
A
с
x = [?]
Answers
Answer:
Answer is 6
Step-by-step explanation:
See it is equilateral so AB=AC=BC
Now we are given values of AB and AC, but they are equal so,
22x-33 = 7x+5722x-7x = 57+3315x = 90x= 15 / 90x=6Hope it helps
BYE
Draw the graph of the equation x+5y=6
Answers
Answer:
Step-by-step explanation:
can somebody please tell me the awnser
Answers
Answer: 50ft I think
Step-by-step explanation: add them all . The length of a line is missing so make 16 minus 6 will give you 10 and add the rest . Please mark brainliest . 4 and 10 and 5 and 6 and 9 and 16 Will give 50 ft only
Ah, yes. Perimeters. Perimeters are found by adding up the lengths of all the sides. But, as stated in the question description, there's one side missing. The way we find it is by subtracting the 6-foot side from the 16-foot side. The way this works is because 1) every corner is a right angle 2) and if that's so, the side with no number and the 6-foot side will add up to equal 16 feet, the same as the side opposite it.
If we subtract 6 from 16, we get 10. So, therefore, the missing side's length is 10 feet.
Now let's add all the sides together.
9 + 6 + 5 + 10 + 4 + 16 = 50
The perimeter of this shape is 50, if my geometry memory serves me correctly.
I hope this answers your question.
-Toremi
A person invests 7000 dollars in a bank. The bank pays 7% interest compounded
quarterly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 12400 dollars?
