please help me
I'll mark you brainlist ​

Assuming the dilation is centered at the origin, the scale factor is 1/3.

This means the coordinates of the point (8,4) are [tex]\boxed{\left(\frac{8}{3}, \frac{4}{3} \right)}[/tex]

Step-by-step explanation:

Given:

[tex]y = {x}^{2} - x - 6[/tex]

To find the x-intercepts set y to 0 and solve for x which is done below:

Therefore x-intercepts:(3,0),(-2,0)

To figure out the y-intercept , substitute 0 for x and simplify

Hence, The y-intercept is (0,-6)

(skipped the steps as you've already figured it out)

Likewise A:

X-intercepts:

Therefore,x-intercepts:(3,0),(-2,0)

Y-intercept:

⇒y=-0²+0+6

⇒y=6

Therefore, y-intercept (0,6)

The vertex:(0.5,6.25)

The difference between the two parabolas is that The blue parabola is the result of reflection over x-axis of the red one.

Answer:

a.

The x-intercepts are 3 and -2

The y-intercept is -6

The vertex is (1/2 , -25/4)

b.

The two parabola are symmetric across the x-axis

Step-by-step explanation:

x² - x - 6

[tex]=x^{2}-2\times \frac{x}{2} +\frac{1}{4} -\frac{1}{4}-6[/tex]

[tex]=(x-\frac{1}{2} )^{2} -(\frac{1}{4}+6)[/tex]

[tex]=(x-\frac{1}{2} )^{2} -\frac{25}{4}[/tex]

The x-intercepts :

(x-1/2)² = 25/4

Then

x - 1/2 = 5/2 or x - 1/2 = -5/2

Then

x = 3 or x = -2

The y-intercepts :

We get the y-intercept by replacing x by 0 in the trinomial :

0² - 0 - 6 = -6

b.

we notice that :

-x² + x + 6 = -(x² - x - 6)

Then

-x² + x + 6

[tex]=-(x-\frac{1}{2} )^{2} +\frac{25}{4}[/tex]

The x-intercepts :

[tex]-(x-\frac{1}{2} )^{2} +\frac{25}{4}=0[/tex]

⇔ (x-1/2)² = 25/4

Then

x - 1/2 = 5/2 or x - 1/2 = -5/2

Then

x = 3 or x = -2

The y-intercepts :

We get the y-intercept by replacing x by 0 in the trinomial :

0² + 0 + 6 = 6

Answer:

oh soooooooooooooooo sorry

Step-by-step explanation:

sorry

Answer:

12.5N

Step-by-step explanation:

See attached image.

Answer:

4

Step-by-step explanation:

5

Answer:

f(4) = 5

Step-by-step explanation:

The notation used for a point is (x,y). The first number is the x and the second number is the y.

In function notation, you have f(x) = y.

The input number, x, is in the parenthesis beside the f. The output, y is all by itself on the other side of the equal sign.

For the point (4,5), 4 is the x so it goes by the f. 5 is the y so it goes by itself on the other side of the equal sign.

f(4) = 5

The solution is :  f(4) = 5, the equation must be true.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

The notation used for a point is (x,y).

The first number is the x and the second number is the y.

In function notation, you have f(x) = y.

The input number, x, is in the parenthesis beside the f. The output, y is all by itself on the other side of the equal sign.

For the point (4,5), 4 is the x so it goes by the f.

5 is the y so it goes by itself on the other side of the equal sign.

f(4) = 5

Hence, The solution is :  f(4) = 5, the  equation must be true.

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Step-by-step explanation:

the area of a triangle is

baseline × height / 2

baseline and height must be at a right angle with each other.

so, in our case

6 × 11 / 2 = 3 × 11 = 33 cm²

Answer:

Area = 33 cm²

Step-by-step explanation:

[tex]\textsf{Area of a triangle}=\sf \dfrac{1}{2}bh[/tex]

where:

If we turn the triangle counterclockwise, so that the side that measures 6 cm is the base, we will see that the length that measures 11 cm is the height of the triangle (see attached).

Therefore:

Substitute the found values into the formula and solve for A:

[tex]\implies \sf A=\dfrac{1}{2}(6)(11)[/tex]

[tex]\implies \sf A=\dfrac{1}{2}(66)[/tex]

[tex]\implies \sf A=33[/tex]

Therefore, the area of the triangle is 33 cm²

The significance of 160,000 in the function is the initial population at the time of the estimation.

The correct option is (C)

A collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.

Given:

As per the table attached below:

F(x) signify the total population when the time was x hour.

So,  160,000 in the function signifies that the population at starting i.e., initial point.

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Shape F has a perimeter of 180mm and an area of 2196mm² is similar to shape G with perimeter 300mm then area of shape is 6100mm².

As given,

Shapes F and G are similar

Perimeter of shape F=180mm

Area of shape F=2196mm²

Perimeter of shape G=300mm

Let xmm²be the area of shape G

Square of ratio of perimeter of similar shape =Ratio of area of similar shape

⇒(180 /300)² =(2196/x)

⇒9/25=2196/x

⇒x=(2196×25)/9

⇒x=6100mm²

Therefore, shape F has a perimeter of 180mm and an area of 2196mm² is similar to shape G with perimeter 300mm then area of shape is 6100mm².

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I am assuming you meant to write b(x) = x-4.

[tex](b \circ a)(x)=b(a(x))=b(3x+1)=(3x+1)-4=\boxed{3x-3}[/tex]

Since this is a linear function, the domain is all real numbers.

Using a linear function, it is found that the costs are given as follows:

A linear function is modeled by:

y = mx + b

In which:

Considering the price of admission and the price per ride, the y-intercept is of 20 and the slope is of 4, the cost for r rides is given by:

C(r) = 20 + 4r.

Hence, for 6 rides, the cost is given by:

C(6) = 20 + 4 x 6 = $44.

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The simplification form of the provided expression 6543549 ² × 4³ ÷8 is 3.4254×10¹⁴

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have a mathematical expression:

= 6543549² × 4³ ÷ 8

Using BODMAS

= 6543549² × 8

= 3.4254×10¹⁴

Thus, the simplification form of the provided expression 6543549 ² × 4³ ÷8 is 3.4254×10¹⁴

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Answer:

1274

it is 1274

Step-by-step explanation:

mark as brainlest for the answer thankyou

Answer:

x=y-p+q

Step-by-step explanation:

y=x+p-q

x=y-p+q

Answer: 42/21 or 2

Step-by-step explanation:

you first convert them to improper fractions, which is 14/3 and 7/3. Then, you multiply the reciprocal and get 14/3x3/7, and get 42/21. Simplify, and you get 2.

Answer:

C  : (4,8)

Step-by-step explanation:

The equation y = (1/2) x

Or, 2y = x ==> x = 2y
means that, for any value of x, the y value must be one-half that value or, in other words, for any value of y, x must be twice the value of y

A, B and D will satisfy the above equation if you plug in values of x and y given

In C we have x = 4 and y =8 so x = y/2 NOT 2y

Step-by-step explanation:

a=110. x,55

y=180-(x+75)=50

w,75

b,110

x,40

y,30

Answer:

AB and CD have the same midpoint, therefore they bisect each other.

Step-by-step explanation:

Find the midpoint of AB. Then, find the midpoint of CD. They are the same. The segments bisect each other. See image.

The value of the variable x and y will be 1  2/3 and 4  2/3. Then the correct option is C.

The solution of the equation means the value of the unknown or variable.

The equations are given below.

y = 4x − 2  ...1

y = x + 3    ...2

Subtract equation 1 from 2, then we have

 0 = 3x – 5

3x = 5

 x = 5/3

 x = 1  2/3

Then the value of y will be

y = 5/3 + 3

y = 14 / 3

y = 4  2/3

Then the correct option is C.

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Answer:

888

Step-by-step explanation:

let the number be n then divide by 8 , that is [tex]\frac{n}{8}[/tex]

now add 8 to this

[tex]\frac{n}{8}[/tex] + 8 and finally multiply this by 8 and equate to 952

8([tex]\frac{n}{8}[/tex] + 8) = 952 ( divide both sides by 8 )

[tex]\frac{n}{8}[/tex] + 8 = 119 ( subtract 8 from both sides )

[tex]\frac{n}{8}[/tex] = 111 ( multiply both sides by 8 to clear the fraction )

n = 888

the number chosen was 888

An expression is defined as a set of numbers, variables, and mathematical operations. A simplified expression for the length of the garage in terms of x is 2x-19.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given the width is x + 15, and the length is 49 less than 2 times the width. Therefore,  a simplified expression for the length of the garage in terms of x is,

Length = 2(x+15) - 49 = 2x + 30 - 49 = 2x-19

Hence,  a simplified expression for the length of the garage in terms of x is 2x-19.

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Answer:

To order decimals, you first need a range of values.

Step-by-step explanation:

For example, if there are 5 values: 0.25, 0.87,0.19,0.89 and 0.98

First, look at the first digit after the decimal. The smallest digit is the smallest so far. In this case, it is 0.19 as '1' was the smallest digit. Second would be 0.25 because 2 is the second smallest digit here.

Now, we have 3 remaining numbers: 0.87, 0.89 and 0.98

You can notice that both 0.87 and 0.89 have the same first digit after the decimal.

Do fix this problem, look at the second digit and decide the smallest one. In this case, it is 0.87.

This means the order will go like this if it is smallest to largest: 0.19, 0.25, 0.87, 0.89, 0.98.

If it is largest to smallest, do it the other way around.

Hope this helped!

Coordinates are numerical lengths or angles that uniquely identify locations on two-dimension. The missing coordinates are coordinates 3 and 4.

A Cartesian coordinate plane is a two-dimensional plane with infinite dimensions. On an endless 2d plane, any two-dimensional figure may be drawn. A location is assigned to each point on a Cartesian plane.

It is the perpendicular distance between that point and the horizontal and vertical axes, which are commonly referred to as the x-axis and y-axis.

Location is then written as (a,b), where 'a' is the point's shortest distance from the y-axis, 'b' is the point's shortest distance from the x-axis, and 'c' is the point's shortest distance from the x-axis.

Coordinates are numerical lengths or angles that uniquely identify locations on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ).

Mathematics, scientists, and engineers frequently employ a variety of coordinate systems.

Hence the missing coordinates are coordinates 3 and 4.

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The given polynomial equation 3x⁵ − x⁴ − 5x² + 1 = 0 has two complex roots.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The given polynomial equation below is:

0 = 3x⁵ − x⁴ − 5x² + 1

3x⁵ − x⁴ − 5x² + 1 = 0

The given polynomial equation is a polynomial of degree 5.

The simplest method is to solve it graphically using a graphing program.

Clearly, the polynomial equation is a degree 5 equation, hence it has a maximum of 5 roots.

We may now locate the roots of the equation using the graph.

Since there are 3 real roots, the remaining are two complexes, so there are 2 complex roots

Hence, the given polynomial equation 3x⁵ − x⁴ − 5x² + 1 = 0 has two complex roots.

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Answer:

Hey, You don't need to buy supplies. Just use your at home!

Step-by-step explanation:

Brainlest?

Answer: Algebra: 3 sub. spiral notebook, pencil pouch to hold colored pencils and ... Algebra 2: 2 or 3 subject spiral notebook (can use folder instead of binder).

Step-by-step explanation:

Answer:

A. Vertex is ( -1, 16)

B. Do they mean y-intercept for vertical intercept? That is (0,14)

C. X-intercepts are

(-3.838, 0) and (1.828, 0)

Step-by-step explanation:

plug the equation into desmos. It will graph and give you the info.

To find y-int, plug in 0 for x. This gives you the point 0, 14.

You can also use the quadratic equation to find the x-intercepts.

Answer:

see explanation

Step-by-step explanation:

A

given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 ) , then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = - 2x² - 4x + 14 ← is in standard form

with a = - 2, b = - 4 , then

x = - [tex]\frac{-4}{-4}[/tex] = - 1

substitute x = - 1 into f(x) for corresponding y- coordinate

f(- 1) = - 2(- 1)² - 4(- 1) + 14 = - 2 + 4 + 14 = 16

vertex = (- 1, 16 )

B

to find the y- intercept let x = 0

f(0) = - 2(0)² - 4(0) + 14 = 0 - 0 + 14

y- intercept = (0, 14 )

C

to find the x- intercepts let f(x) = 0 , that is

- 2x² - 4x + 14 = 0 ( divide through by - 2 )

x² + 2x - 7 = 0 ( add 7 to both sides )

x² + 2x = 7

using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = 7 + 1

(x + 1)² = 8 ( take square root of both sides )

x + 1 = ± [tex]\sqrt{8}[/tex] ( subtract 1 from both sides )

x = - 1 ± [tex]\sqrt{8}[/tex]

then

x = - 1 - [tex]\sqrt{8}[/tex] ≈ - 3.83 ( to 2 dec. places )

x = - 1 + [tex]\sqrt{8}[/tex] ≈ 1.83 ( to 2 dec. places )

that is x- intercepts are (- 3.83, 0 ) , (1.83, 0 )