y=x^2 is reflected across the x-axis and then scaled vertically by a factor of 1/8

Answers

Answer 1

The parabola y=x^2 is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = [tex]-\frac{1}{8}[/tex] x².

What is Equation of parabola?

The general equation of a parabola is: y = a(x-h²2 + k or x = a(y-k)² +h, where (h,k) denotes the vertex.

The standard equation of a regular parabola is y² = 4ax.

The given equation is of parabola : y= x²

Now, we have to reflect across the x- axis and then scaled vertically by a factor 1/8.

When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.

Then, the new equation of parabola be:

  y = [tex]-\frac{1}{8}[/tex] x²

Hence, The parabola y=x² is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = [tex]-\frac{1}{8}[/tex] x².

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Related Questions

i really need help on this. can you please solve

Answers

Answer:

371/999

Step-by-step explanation:

all repeating numbers like that just go over nines. Two repeating? Over 99. Four repeating? Over 9,999

help with these 10th grade geometry angle problems? will reward brainliest!

Answers

Answer:

Step-by-step explanation:

A number y increased by 5 is at least -21

Answers

                - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Given question:-}}}}[/tex]

             ❖ A number y increased by 5 is at least -21.

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

          ❖ First, if you come across the word "increased" it means we

    "increase" a number, or add something to that number, like

y increased by 5 [tex]\longmapsto[/tex] [tex]\sf{y+5}[/tex]

Now, we are also given that this expression is at least -21, which means it can't be -21; it can be -21 or it can be greater than -21.

So we have

[tex]\longmapsto\sf{y+5\geq -21}}[/tex]

Solving for y

  Subtract 5 on both sides:-

[tex]\longmapsto\sf{y\geq -21-5}[/tex]

[tex]\longmapsto\sf{y\geq -26}[/tex]

So the values of y greater than or equal to -26 will make this inequality true.

Good luck with your studies.

 [tex]\rule{300}{1}[/tex]

Answer:

y >= - 26

Step-by-step explanation:

your equation at first looks like this

y + 5 >= -21

then you subtract 5 to both sides

y >= -26

Two points of a parallelogram are (1,2) and (2,5). The base of the parallelogram is parallel to the x axis and is 4 units long. Find the coordinates of the other two points of this parallelogram and also find the length of the other pair of parallel sides of the parallelogrma. What would the area of this parallelogram be?​

Answers

Answer:

(5,2) and (6,5)

length of side = sqrt10 ~= 3.16 units

Area = 12 sq units

Step-by-step explanation:

It really helps to graph the given information. See image. The sides have the same slope bc they are parallel. If you go UP3 & OVER1 to get from the first point to the second point, then do that again on the right side. See image. Use distance formula or pythagorean thm to find the length:

c^2 = 3^2 + 1^2

c^2 = 9+1

c^2 = 10

c = root10 ~= 3.16

Area of a parallelogram is b•h

A = 4•3

= 12

see image.

Someone help me.............asap

Answers

Answer:

11 h

Step-by-step explanation:

1/2 h

11h 1/2 will be need for a bike

What are the domain and range of f (x) = log (x minus 1) + 2?
domain: x > 1; range: y > 2
domain: x > 1; range: all real numbers
domain: all real numbers; range: y > 1
domain: all real numbers; range: all real numbers

Answers

Answer:

domain: x > 1; range: all real numbers

Step-by-step explanation:

Given function:    [tex]f(x)=\log(x-1)+2[/tex]

Logarithms are not defined for zero or negative numbers.

[tex]\implies (x-1) > 0 \implies x > 1[/tex]

Therefore:

domain (input values):  [tex]x > 1[/tex]range (output values):  all real numbers

Answer:

B on edge

Step-by-step explanation:

Just took the test :)

como resolver
(-2 )² x (-2 )³

aplica propiedades de la potenciación en este caso seria potencia de un producto

Answers

Answer:

-32

Step-by-step explanation:

-2^2 is 4

-2^3 is -8

So 4•-8

=-32

Hope this helps. Brainliest would be appreciated.

Find the value of X

Answers

Answer:

x = 14

Step-by-step explanation:

By tangent secant theorem

[tex] x^2 = 7(7+21)[/tex]

[tex]\implies x^2 = 7(28)[/tex]

[tex]\implies x ^2=196[/tex]

[tex]\implies x=\pm\sqrt{196}[/tex]

[tex]\implies x=\pm 14[/tex]

x can not be negative

[tex]\implies x=14[/tex]

Find the slope of the line through
the points (1, 4) and (7, 1).
A
1
2
B
-2
1
2
D
2.

Answers

When finding the slope between two points, we simply take (y2-y1) / (x2-x1)
For this, we can substitute the following to get this :
y2-y1 and x2-x1
1 - 4 and 7 - 1
-3 and 6
-3 / 6 gets you -1/2

Therefore the answer is :
The slope of the line is -1/2

Given the function graphed below, find the average rate of change over the
interval x= 2 to x = 4. I’ve been stuck on this question for a little bit . Can’t seem to wrap my head around it

Answers

Answer:

Approximately 0.3.

Step-by-step explanation:

I can only estimate the value of the function when x = 2. it looks like it's about 2.4.

Average rate of change = [(f4) - f(2)] /  (4 - 2)

= (3 - 2.4) / 2

= 0.6/2

= 0.3.

Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number. Write this information as an equation in x. Solve your equation to find the value of x.​

Answers

3x+2=5x-13
3x-5x=-13-2
-2x=-15
x=7.5

Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number. The number which he is thinking is 7.5.

What is equation?

Two or more expressions with an equal sign is called as Equation.

Given that Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number.

Let the number which Dexter is thinking be x.

Two more than three times his number.

It means value two is added to the product of 3 and the number which he is thinking x.

3x+2

thirteen less than five times his number

It means value thirteen is subtracted from  the product of 5 and the number which he is thinking x.

5x-13.

It is given Two more than three times his number is the same value as thirteen less than five times his number

3x+2=5x-13

Take the like terms to one side

13+2=5x-3x

15=2x

Divide both sides by 2.

x=7.5

Hence the value of x is 7.5.

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how do u find the surface area of all the prisms?

Answers

By using the formula SA=2B+ph

Explain how you would graph the inequality, "b ≤ 0

Answers

Answer:

the inequality, b ≤ 0 has interval Notation of -∞,0

Step-by-step explanation:

the inequality, b ≤ 0 has interval Notation of -∞,0

The sum of two numbers is 40 and the difference is 8. What are the numbers?

Answers

Answer:

24 and 16.

Step-by-step explanation:

They both are in between the sum of the two numbers.

The inside of a baking pan is to be lined with tinfoil. the pan is 12 inches long, 9 inches wide, and 1.5 inches tall. how many square inches of tinfoil are needed?

Answers

The inside of a baking pan is to be lined with tinfoil. Then the amount of tinfoil needed will be 171 square inches.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The inside of a baking pan is to be lined with tinfoil. the pan is 12 inches long, 9 inches wide, and 1.5 inches tall.

Then the amount of the tinfoil will be

The surface area of the rectangle with an open lid is given as

Surface area = 2(LH + WH) + LW

Then the surface area of the tinfoil will be

Surface area = 2(12 x 1.5 + 9 x 1.5) + 12 x 9

Surface area = 2 (18 + 13.5) + 108

Surface area = 2 x 31.5 + 108

Surface area = 63 + 108

Surface area = 171 square inches

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Need help asap
the garcia family has a monthly car loan payment of $400, and their average monthly credit card bill is $4,800. mr. garcia
is also paying $1,000 per month to support his elderly parents. compute the back-end ratio to the nearest percentage.
type the correct answer in the box. use numerals instead of words.

Answers

Answer:

70%

Step-by-step explanation:

what is the solution of 9 (x-8) = 3 (4x-12)
() = Exponents The things in perenthacys are exponents

Answers

9(x-8)=3(4x-12)9x-72=12x-379x-12x=-72+37-3x=-35x=-35/-3x=35/3

Solving as exponents

[tex]\\ \rm\Rrightarrow 9^{(x-8)}=3^{(4x-12)}[/tex]

[tex]\\ \rm\Rrightarrow 3^{2(x-8)}=3^{2(x-6)}[/tex]

[tex]\\ \rm\Rrightarrow 2(x-8)=2(x-6)[/tex]

[tex]\\ \rm\Rrightarrow 2x-16=4x-12[/tex]

[tex]\\ \rm\Rrightarrow -2x=4[/tex]

[tex]\\ \rm\Rrightarrow x=-2[/tex]

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Given equation:

[tex]9^{x-8}=3^{4x-12}[/tex]

Rewrite 9 as 3²:

[tex]\implies (3^2)^{x-8}=3^{4x-12}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 3^{2(x-8)}=3^{4x-12}[/tex]

[tex]\implies 3^{2x-16}=3^{4x-12}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]

[tex]\implies 2x-16=4x-12[/tex]

Subtract 2x from both sides:

[tex]\implies 2x-16-2x=4x-12-2x[/tex]

[tex]\implies -16=2x-12[/tex]

Add 12 to both sides:

[tex]\implies -16+12=2x-12+12[/tex]

[tex]\implies -4=2x[/tex]

Divide both sides by 2:

[tex]\implies \dfrac{-4}{2}=\dfrac{2x}{2}[/tex]

[tex]\implies x=-2[/tex]

A guest was on holiday before going to the wedding at 6 o’ clock. He had to travel 120km to get to the venue. He travelled at an average of 100km/h . Verify if He will reach the dance on time if he leaves at 16:40

Answers

He will reach the dance before time if he leaves at 16:40.

What is speed- distance formula?

The formula for speed is speed = distance ÷ time.

To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Given distance= 120 Km, speed= 100 km/h

For this speed,

time= distance/ speed

       = 120/100

        = 1.2 hours

If the guest leave at 4:40 p.m. then by the speed of 100 km/h he will reach the venue at 06:00 p.m.

Hence, he will reach before the time at wedding.

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write down all the prime numbers

Answers

Prime numbers 1-100 are- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

Answer:

The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

Step-by-step explanation:

also it goes on and on so i dont think you meant but i hope this helps if it dosnt m very sorry

Which of the following points is a possible solution to the system? y ≤ 3x − 1 y ≥ -x − 1

Answers

Plotting the inequalities y ≤ 3x − 1 and y ≥ -x − 1 using the geogebra graphing tool, a possible solution to the system is (3, 1)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the inequalities y ≤ 3x − 1 and y ≥ -x − 1

Plotting the inequalities y ≤ 3x − 1 and y ≥ -x − 1 using the geogebra graphing tool, a possible solution to the system is (3, 1)

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Find uv.
v
u
640
10
w
write your answer as an integer or as a decimal rounded to the nearest tenth.
uv =

Answers

The value of uv to the nearest tenth or as an integer is 3.1 units

How to find side of a right triangle?

uv is the adjacent side of the right triangle.

uv can be found using trigonometric ratios as follows:

Therefore,

tan 63 = opposite / adjacent

Hence,

tan 63 = 6 / adjacent

cross multiply

uv tan 63 = 6

divide both sides by tan 63

uv = 6 / tan 63

uv = 6 / 1.96261050551

uv  = 3.05716906145

uv = 3.1 units

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please help with this

Answers

Answer:

F = 53.1°

Step-by-step explanation:

When you consider F as your angle

cos F = adjacent / hypotaneous

or, cos F = EF/DF

We do not have DF right now,

so DF² = DE² + EF²

DF = √ (12² + 9²)

DF = 15

cos F = adjacent / hypotaneous

or, cos F = EF/DF

cos F = 9 / 15

F = cos ⁻¹ (9/15)

F = 53.1°

PLEASe help math ...

Answers

Answer:

21.6 units² (nearest tenth)

Step-by-step explanation:

[tex]\textsf{Area of a trapezoid}=\dfrac{1}{2}(a+b)h \quad \textsf{(where a and b are the bases and h is the height)}[/tex][tex]\textsf{Area of a semicircle}=\dfrac12 \pi r^2 \quad \textsf{(where r is the radius)}[/tex]

Given:

a = 2b = 8h = 4r = 2 ÷ 2 = 1

[tex]\begin{aligned}\textsf{Area of figure} & =\textsf{area of trapezoid + area of semicircle}\\& = \dfrac{1}{2}(a+b)h+\dfrac{1}{2} \pi r^2\\& = \dfrac{1}{2}(2+8)(4)+\dfrac{1}{2} \pi (1)^2\\& = 20+\dfrac{1}{2} \pi\\& = 21.6\: \sf units^2 \:(nearest\:tenth)\end{aligned}[/tex]

Area of the trapezium

1/2(Sum of parallel sides)×Height1/2(2+8)(4)2(10)20units²

Area of semicircle

π(2/2)²/2π/21.57units²

Total area

20+1.5721.6units²(Rounded)

Envision Geometry 10-1 Circles 22. page 425

Answers

The segment area of the circle that's given in the envision geometry is 2.568.

How to calculate the segment area?

It should be noted that the segment area is given as:

= (a/360)π × R² - Area of triangle

= (90/360)π × 3² - (1/2 × 3²)

= 9π/4 - 9/2

= 2.568

In conclusion, the segment area of the circle that's given in the envision geometry is 2.568.

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The sum of two numbers is 23. The difference of the numbers is 7.4. What are the two numbers?​

Answers

x+y=23
X-y=7.4

X+y=23
y=23-X

X-y=7.4
(23-y)-y=7.4
23-2y=7.4
-2y=-15.6
Y=7.8

X+y=23
X+7.8=23
X=15.2

Therefore the two numbers are 7.8 & 15.2

A fish is at 125 m below the sea level it rises 56m, then dives
48m and then rises 25m again. Find the fish’s position from the
sea level

Answers

Answer: 92m below sea level

Step-by-Step Explanation:

Fish is at => 125m below sea level
It rises => 56m

Therefore, Fish is now at:
= 125 - 56 = 69m below sea level

It dives => 48m

Therefore, Fish is now at:
= 69 + 48 = 117m below sea level

It rises => 25m

Therefore, Fish is now at:
= 117 - 25 = 92m below sea level

Find the equation of the line shown

Answers

Answer: y = 1/2x + 1/2

Graph and label each figure and it’s image under the given translation. Give the coordinates of the image.

Answers

Answer:

See below ~

Step-by-step explanation:

Question 3 : (x, y - 5)

K' = (-3, 2 - 5) = (-3, -3)L' = (1, 4 - 5) = (1, -1)M' = (-1, 0 - 5) = (-1, -5)N' = (-5, -2 - 5) = (-5, -7)

Question 4 : (x + 4, y + 1)

D' = (-4 + 4, 3 + 1) = (0, 4)E' = (0 + 4, 2 + 1) = (4, 3)F' = (-2 + 4, -6 + 1) = (2, -5)G' = (-6 + 4, -5 + 1) = (-2, -4)


the bill at an electronics store was $52 before tax.
tax is 5 percent. what is the total price with tax?

Answers

Answer:

$54.6

Step-by-step explanation:

To solve the question, we need to find how much 5% of 52 is

For questions where we need to calculate the percentage, we will multiply the number by given percentage and then divide it by the whole, 100%

52*5/100 = 2.6

Now the price before the tax was 52 and the tax is 2.6

the total price:

2.6 + 52 = 54.6

2 x (6÷2 +8) -4 Help me ​

Answers

Answer:

22x-4

Step-by-step explanation:

2x(3+8)−4

Simplify  3+8 to 11.

2x×11−4

Simplify  2x times 11 to 22x.

22x−4

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