nEED HELP please AASAP

Answer:

1. x=8 is the line of symmetry for f(x) = -4(x − 8)2 + 3

2. x=-2 is the line of symmetry of g(x) = 3x2 + 12x + 15

3. x=3 is the line of symmetry of h(x), shown in the graph.

Step-by-step explanation:

To find the line of symmetry of a vertical parabola (second degree polynomial), find the value of x that sets the squared term to zero.  This is a vertical line passing through the vertex of the second degree function.

1. f(x) = -4(x − 8)2 + 3

setting x=8 will give f(8) = 3, so x=8 is the line of symmetry

2. g(x) = 3x2 + 12x + 15

here, we need to complete the squares,

g(x) = 3x2 + 12x + 15

g(x) = 3(x^2+4x+5)

g(x) = 3(x^2 + 2(2x) +4 +1)

g(x) = 3((x+2)^2 +1)

So setting x=-2 will anihilate or cancel the squared term, therefore

x= -2 is the line of symmetry.

3. the curven shown in graph,

we see that the vertex is at x=3, so x=3 is the line of symmetry.

The axes of symmetry of the functions f(x), g(x), and h(x) will be x = 8, x = -2, and x = 3, respectively.

Axial symmetrical is similarity around an axis; an item is internally symmetric if it retains its appearance when turned around an axis.

Three capabilities are given underneath: f(x), g(x), and h(x).

f(x) = -4(x − 8)² + 3

The axis of symmetry of the function f(x) will be given as,

x − 8 = 0

x = 8

g(x) = 3x² + 12x + 15

Convert the expression into a vertex form.

g(x) = 3x² + 12x + 15

g(x) = 3(x² + 4x + 5)

g(x) = 3(x² + 4x + 4) + 3

g(x) = 3(x + 2)² + 3

The axis of symmetry of the function g(x) will be given as,

x + 2 = 0

x = −2

From the graph, the axis of symmetry of the function h(x) will be given as,

x = 3

More about the axis of the symmetry link is given below.

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Formala : Times bottom row with side row with the height.

Example: A box has the same length, width, and height as two tennis balls.

Times the bottom row with side row with the height.

Answer:

[tex]x = \frac{3y - 2}{4} [/tex]

Multiply through by 4

We have

[tex]3y - 2 = 4x[/tex]

Send 2 to the right side of the expression

That's

[tex]3y = 4x + 2[/tex]

Divide both sides by 3

That's

[tex] \frac{3y}{3} = \frac{4x + 2}{3} [/tex]

We have the final answer as

[tex] y = \frac{4x + 2}{3} [/tex]

Hope this helps you

Answer:

[tex]y = \frac{4x + 2}{3} [/tex]

Step by step explanation

[tex]x = \frac{3y - 2}{4} [/tex](Given)

Multiply by 4 on both sides:

[tex]4 \times x = \frac{3y - 2}{4} \times 4[/tex]

Calculate

[tex]4x = 3y - 2[/tex]

Add 2 on both sides

[tex]4x + 2 = 3y - 2 + 2[/tex]

[tex]4x + 2 = 3y[/tex]

[tex]3y = 4x + 2[/tex]

Divide both sides of the equation by 3

[tex] \frac{3y}{3} = \frac{4x + 2}{3} [/tex]

Calculate

[tex]y = \frac{4x + 2}{3} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

g(x) = -x² - 3

Step-by-step explanation:

You want to mirror f(x), hence the minus sign.

Then you want to translate it 3 down, hence the -3.

Answer:

g(x) = -x² - 3

Step-by-step explanation:

f(x) is x², so g(x) will be negative because it is on the opposite side of the plane.

g(x) will be -x², it cross the y-intercept at (0, -3)

g(x) = -x² - 3

Answer:

The answer is 2 because they are similar it is just that the one at the side is factorised

The reason why I'm not entirely sure is because of a potential typo. See below.

Let's go through each answer choice

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

Choice A

Solve each inequality for x

x+1 < -1 becomes x < -2 after subtracting 1 from both sides

x+1 < 1 becomes x < 0 after subtracting 1 from both sides

We have {x < -2} intersected with {x < 0}. The overlap is x < -2. I recommend using a number line diagram to see how the overlap is working. Basically we're looking for numbers that are both less than -2 AND also less than 0. That simplifies to numbers less than -2 (as anything less than -2 is already smaller than 0).

A number like x = -10 is in the solution set of {x < -2}, but we just wanted 0 and only 0 to be in the solution set. So we can rule out choice A.

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

Choice B

Solve each for x

x+1 = 1 becomes x = 0

x+1 > 1 becomes x > 0

This is a contradiction as we're talking about numbers that are 0 itself and larger than 0 at the same time. No such number exists. Effectively, these two sets cannot be combined to make anything meaningful. In other words, the solution set here is the empty set. For this reason, we can rule out choice B

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

Choice C

Again we solve each for x

x+1 < 1 becomes x < 0

x+1 > 1 becomes x > 0

This is also the empty set because there are no numbers both smaller than 0 and larger than 0 at the same time.

If we had "or equal to" as part of the inequality sign, then [tex]x+1 \le 1[/tex] solves to [tex]x \le 0[/tex], while [tex]x+1 \ge 1[/tex] solves to [tex]x \ge 0[/tex]. Combining both [tex]x \le 0[/tex] and [tex]x \ge 0[/tex] will yield exactly one item, and that is [tex]x = 0[/tex]

It seems like your teacher meant for this to be the answer and that there is a typo. Of course, its best to ask him/her about this directly.

Answer:

The inequality that models the situation for her to have money to save is

7L² > 3(200L - L²)

On simplifying and solving,

L > 60 meters

Step-by-step explanation:

The length of her farm = L meters

The farm where she grows avocados is of square dimension

Area of the farm = L × L = L²

The piece of land is 200 m wide.

Total area of the piece of land = 200 × L = (200L) m²

If the area of her farm = L²

Area of the side where she lives will be

(Total area of the land) - (Area of the farm)

= (200L - L²)

= L(200 - L)

Every week, Riley spends $3 per square meter on the area where she lives, and earns $7 per square meter from the area where she grows avocados.

Total amount she earns from the side she grows the avocados = 7 × L² = 7L²

Total amount she spends on the side where she lives = 3 × (200L - L²) = 3(200L - L²)

For her to save money, the amount she earns must be greater than the amount she spends, hence the inequality had to be

(Amount she earns) > (Amount she spends)

7L² > 3(200L - L²)

To simplify,

7L² > 3L(200 - L)

Since L is always positive, we can divide both sides by L

7L > 3(200 - L)

7L > 600 - 3L

10L > 600

L > 60 meters

Hope this Helps!!!

Answer:

Answer is in attached image.

Answer:

90º clockwise rotation

Step-by-step explanation:

The rotation is a 270º counterclockwise rotation, since 270º rotation is

(x, y) → (y, -x)

F(1, 3) → (3, -1)

270º counterclockwise rotation is the same as a 90º clockwise rotation, so the answer is 90º clockwise rotation.  

Answer:

44+50 =94 in²

Step-by-step explanation:

Trapezoid

A= 1/2h(b1+b2)

A= 1/2*4(7+15)

A=1/2*4(22)

A=44

Rectangle

A=l*w

A=5*10

A=50

44+50 =94 in²

Answer:

Its a postive number

Step-by-step explanation:

If you look it says she is at sea leveal wicth is 0 and she is going up 12.3 feet so its postive.

The change in elevation from the bottom of the Ferris wheel to the top is 21.9 feet, which is a positive number.

The process of subtracting one number from another is known as subtraction.

Given that, the lowest point of the Ferris wheel is -9.6 feet, and the highest point is 12.3.

The change in elevation from the bottom of the Ferris wheel to the top of the Ferris wheel is,

12.3 - (-9.6)

=12.3 + 9.6

= 21.9

Hence, the change in elevation from the bottom of the Ferris wheel to the top is 21.9 feet, which is a positive number.

To learn more about subtraction, click here:

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Answer:  464 square inches is the area of the larger rectangle.

Step-by-step explanation:  Assuming that the shaded area is the part of the large rectangle outside the small rectangle, you can set up dimensions from the information given.

The small rectangle's Area = w (2w -1) which is 2w² -w

The large rectangle's Area = (w + 2)(2w + 1) which is 2w² + 5w +2

Now figure out the equation for the "shaded area" (probably outside the small rectangle)  2w² + 5w +2 -(2w² -w) = 86  (The 2w² terms cancel)

6w + 2 = 86,  so 6w = 84, w=14  

Substitute 14 for w in the dimensions of the large rectangle: (w + 2)(2w + 1)

(14+2)(2[14] + 1) = Area

16 × 29 = 464

(I think I deserve Brainliest for figuring this out, but I see the question has been red-flagged, so We'll see!)

Answer:

151.320046 m^2

150 m^2

Hope it helped!!!!!

Step-by-step explanation:

Area of the circle is:

pi * r^2

Therefore:

= pi * 17^2

= 289 * pi

Now  Area of the sector:

= 289 * pi * (60/360)

= 289 * pi * 1/6

= 48.1666667 * pi

= 151.320046 m^2

= 150 m^2 (rounded)

Answer:

First one

Step-by-step explanation:

A function only has one y value for every x value.

Answer: [tex]9y-30mx[/tex]

Step-by-step explanation:

[tex]3y+6y=9y[/tex]

[tex]9y-3\cdot \:10mx[/tex]

[tex]3\cdot \:10=30[/tex]

[tex]=9y-30mx[/tex]

Please mark Brainliest

Answer:

4/5, 3/100

Step-by-step explanation

Let's look at 0.8 first.

0.8 is 8/10, but there's some more.

Let's divide 8 / 2. It is 4.

and, 10 / 2 is 5.

so, 0.8's simplest form is 4/5.

and, 0.03's simmplest fraction is easy.

It is 3/100, cuz 3 is a prime number and 3's integer is only 1 and 3.

Hope this helps!

Answer:

[tex] - 6 < x < 1[/tex]

Step-by-step explanation:

first things first:

[tex] - 7 < 2x + 5 \\ - 7 - 5 < 2x + 5 - 5 \\ - 12 < 2x \\ - 6 < x[/tex]

now:

[tex]2x + 5 < 7 \\ 2x + 5 - 5 < 7 - 5 \\ 2x < 2 \\ x < 1 [/tex]

now the intersection is:

[tex] - 6 < x < 1[/tex]

Answer: T

Step-by-step explanation: The vertex is where the two lines meet at the endpoint, meaning that the vertex is always where the lines begin to spread out.

Answer:

√8 - 2 units and 2 units,

√7 - √5 units and √2 units,

√5 - 1 units and 2 units,

3 - 2 units and √5 units,

Explanation;

To get each hypotenuse length with the leg lengths that will create a right a triangle., we need to use the pythagoras theorem. According to the theorem;

hypotenuse² = opposite² + adjacent²

The given two lengths are the opposite and adjacent sides of the right angled triangle.

For the  triangle with lengths √5 units and √2 units,

hyp² = (√5)² + (√2)²

hyp² = 5+2

hyp = √7 units

For the  triangle with lengths √3 units and 4 units,

hyp² = (√3)² + 4²

hyp² = 3+16

hyp = √19 units

For the  triangle with lengths 2 units and √5 units,

hyp² = (2)² + (√5)²

hyp² = 4+5

hyp = √9 units

hyp = 3 units

For the  triangle with lengths 2 units and 2 units,

hyp² = (2)² + (2)²

hyp² = 4+4

hyp = √8 units

For the  triangle with lengths 1 units and 2 units,

hyp² = (1)² + (2)²

hyp² = 1+4

hyp = √5 units

Answer:

the guy above me is correct

Step-by-step explanation:

he smart

Answer:

  2√53+10 units

Step-by-step explanation:

We know the diagonal segments have an irrational length. All answer choices agree those two segments total 2√53 units.

The two orthogonal sides each have a length of 5 units, so their total length is 10. (You can count the grid squares, or subtract coordinates.)

Then the perimeter is ...

  2√53 +10 units

Answer:

10

Step-by-step explanation:

TRUST ME PLEASE FAM

Answer:

The function written in python is as follows

def min(str1,str2):

     if str1 < str2:

           return str1

     else:

           return str2

Step-by-step explanation:

This line defines the function min, along with two parameters str1 and str2

def min(str1,str2):

This line checks if str1 is less than str2

if str1 < str2:

If yes, the function returns str1

 return str1

If otherwise,

else:

The function returns str2

 return str2

Take for instance

str1 = "abc"

str2 = "cba"

The function will return str1 because str1 is less than str2 in the sense that the first letter of str1 (a) is less than the first letter of str2 (c)

Answer:

(4 root 2)/9

Step-by-step explanation:

Sin=opp/hyp

Sin=root 32/9

4 root 2/9

Answer:

sin theta = 4 sqrt(2) / 9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hypotenuse

We need to find the opposite side using Pythagorean theorem

a^2 + b^2 = c^2

b^2 = c^2 - a^2

b = sqrt( c^2 - a^2)

b = sqrt(9^2 - 7^2) = sqrt(32) = 4 sqrt(2)

sin theta =b/c

sin theta = 4 sqrt(2) / 9

Answer:

[tex]\frac{-\sqrt{65} - 3 }{4}, \frac{\sqrt{65} + 3}{4}[/tex]

Step-by-step explanation:

Since we cannot factor the expression, we must use quadratic formula: [tex]x = \frac{-b +/-\sqrt{b^2 - 4ac} }{2a}[/tex]

Plug in a for 2, b for 3, and c for -7 and you should find your roots.

Respuesta:

190 km

Explicación paso a paso:

Lo primero es hacer las equivalencias, sea a el primer tramo, b el segundo tramo, c el tercer tramo y el ultimo tramo, el cuarto sería d, entonces:

a = 2/3*c

b = 2*c

d = a + b

Ahora bien sabemos que d = 80, reemplazamos y nos queda:

80 =  a + b

tanto a cómo b están en función del tercer tramo es decir de c, reemplazamos:

80 = 2/3*c + 2*c

80 = 8/3*c

c = 80*3/8

c = 30

ahora calculamos tanto a como b:

a = 2/3*30 = 20

b = 2*30 = 60

Ahora, el recorrido total es la suma de todos los tramos:

Total = a + b + c + d

Total = 20 + 60 + 30 + 80 = 190

Quiere decir que la distancia entre la ciudad A y la cuidad B es de 190 km

In addition to the question, the following conditions must be met:

(1) M > 100

(2) more than 130 employees participate in the voluntary equity program

Answer:

Value of A is 200

Step-by-step explanation:

In this scenario when we divide 100 by the percentage of each employee category we will get a proportion that the number of employees must obey.

This is illustrated below:

For Beta employees 100/25= 4

So the number of employees that are Beta must be divisible by 4

For Standard employees 100/17 = 5.882

Since fractions of employees cannot be obtained, in this case the number of employees must be a multiple of 100

Total employees are 600

The various combinations are:

1. Beta employees 500 and Standard employees 100

Survey participants= (0.25 * 500) + (0.17 * 100) = 142

Number of participants is okay as it is >130 but does not satisfy Standard employees being >100

2. Beta employees are 300 and Standard employees are 300

Survey participants = (0.25 * 300) + (0.17 * 300) = 126

This does not satisfy condition of survey participants >130

3. Beta employees 400 and Standard employees 200

Survey participants = (0.25 * 400) + (0.17 * 200) = 134

This satisfies conditions of >130 survey participants and Standard employees >100

So correct value of S is 200

Answer:

top plot

Step-by-step explanation:

From the box and whisker plot, the smallest data point is 0 and the largest data point is 100

The median is 70

The only plot that has points at 0 and 100 is the first plot

Answer:

Step-by-step explanation:

It increase by 2.3

Answer:

-4r

Step-by-step explanation:

r + -5r

Factor out r

r( 1-5)

r(-4)

-4r

Answer:

7x + 10

Step-by-step explanation:

10 + 8x - 1x ​

Add or subtract like terms.

10 + (8 - 1)x

10 + (7)x

Rearrange.

7x + 10

Answer:

7x+10

Step-by-step explanation:

start by rewriting the problem

10+8x-1x

now, you can subtract 8x from 1x, because they are like terms

10+7x

arrange the terms

7x+10

now, that is your final answer!

Answer:

1. Capacity of the box in Litres: 7.917L≈8L

2. Volume of wood used in making the box: 1197cm^3

3. The mass of the box: 1496.25g/cm^3

Step-by-step explanation:

1. 29×21×13=7917cm^3

7917cm^3 → 7.917dm^3→7.917L≈8L

2. Outside Volume: 29×21×13=7917cm^3

Inside Volume: 28×20×13=6720cm^3

7917-6720=1197cm^3

3. 1197×1.25=1496.25g/cm^3