In need of help with math question

Answer: Triangle A'B'C is an enlargement of triangle ABC

Step-by-step explanation: When figuring out whether a dilation of a triangle is an enlargement or reduction, you see if the scale factor is larger or smaller than 1. If the scale factor is less than 1, it's a reduction. If the scale factor is larger than 1, it's an enlargement. 4/3 > 1 so this means the triangle gets bigger and is an enlargement. This means triangle A'B'C is an enlargement of triangle ABC.

The solutions to the functions are

a) x → –∞, y → +∞ and as x → +∞, y → –∞

b) The real solutions to the equation 4x³ - x² - 4x + 1 = 0 is x = -1 , 1 , 1/4

c) The zeros of the function f ( x ) = x³ + 6x² + 8x is x = 0, -2, -4

d) The function is odd

e) The three factors of the function are (x - 3)(x + 2)(x + 5)

f) The translation f (x - 2) + 3 means the function will shift right 2 and upward 3

g) The factor of the function is a = x - 3

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

a)

Let the function be represented as f ( x )

Now , the value of f ( x ) = -5x³ + 3x² + x - 9

The end behavior of the function is given as

As x → –∞, y → +∞ and as x → +∞, y → –∞

b)

Let the function be represented as f ( x )

Now , the value of f ( x ) = 4x³ - x² - 4x + 1

On factorizing the equation , we get

f ( x ) = x² ( 4x - 1 ) - 1 ( 4x - 1 )

f ( x ) = ( x² - 1 ) ( 4x - 1 )

Taking the common factors of the expression , we get

f ( x ) = ( x + 1 ) ( x - 1 ) ( 4x - 1 )

f ( x ) = ( x - 1 ) ( x + 1 ) ( x - 1/4 )

Therefore , the solutions of the equation are x = -1 , 1 , 1/4

c)

Let the function be represented as f ( x )

Now , the value of f ( x ) = x³ + 6x² + 8x

On factorizing the equation , we get

f ( x ) = x ( x² + 6x + 8 )

Taking the common factors of the expression , we get

f ( x ) = x ( x + 4 ) ( x + 2 )

So , the solution of the function are x = 0, -2, -4

d)

The given function f ( x ) = 3x⁵ - 9 is neither odd nor even function

e)

The fourth degree polynomial function is A = ( x + 3 ) ( x - 2 ) ( x - 5 )

f)

Let the function be f ( x )

Now , the translated function is g ( x ) = f ( x - 2 ) + 3

The translation of f (x - 2) + 3 means the function will shift right 2 and upward 3

g)

The factors of the function f ( x ) = x³ - 3x² is f ( x ) = x² ( x - 3 )

Hence , the functions are solved and factorized

To learn more about factorizing click :

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Answer:

When simplified its 8x^9 y^12

Step-by-step explanation:

Answer:

line plots do you mean number line, cos no pic is attached

Answer:

They each got 1/10th of the bag

Step-by-step explanation:

you just divide 1/5th by 2 which is 1/10

Answer:

Mike's average monthly salary is $ 1,814.

Step-by-step explanation:

To determine Mike's average monthly salary, taking into account that he earns $ 284, $ 292, $ 418, $ 350, and $ 470 weekly, these amounts must be added for the 5-week duration of the month through the following calculation:

284 + 292 + 418 + 350 + 470 = X

1814 = X

Thus, given that this sum totals $ 1,814, Mike's average monthly salary is $ 1,814.

Answer:

0.45

Step-by-step explanation:

Because you have to write 45% has money so 45.00 divide by 100 = 0.45 hope this is right and helpful. Can you mark me brainliest

Answer:

[tex]\displaystyle 120°[/tex]

Step-by-step explanation:

Again, this an isosceles triangle, therefore the centre base angles are congruent at 60°. This means you double 60° to get 120°.

I am joyous to assist you at any time.

Answer:

y = x + 9/4     or     y = x + 2 1/4

Step-by-step explanation:

y - 4x = 9

y - x = 9/4 (divide both sides by 4)

y = x + 9/4 (Add x to both sides)

Answer: 7

i took the test

Answer:

Step-by-step explanation:

3 in 340,500 is 300,000

and 3 in 316 ,000 is 300,000

so 300,000-300,000 = 0

Step-by-step explanation:

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

This is a basic exponential function.

[tex]y = {2}^{ - x} same \: as \: y = 0.5 {}^{x} [/tex]

The (-x) exponent makes a reflection in the y-axis.

Answer:

The equation for line k is [tex]y = -2x + 6[/tex]

Step-by-step explanation:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope.

When two lines are perpendicular, the multiplication of their slopes is -1.

The equation for line j can be written as y =1/2x-1

Since k is perpendicular to j, and the slope of j is 1/2, the slope of k is:

[tex]\frac{1}{2}m = -1[/tex]

[tex]m = -2[/tex]

So

[tex]y = -2x + b[/tex]

It passes through the point (6,-6).

This means that when [tex]x = 6, y = -6[/tex]. So

[tex]y = -2x + b[/tex]

[tex]-6 = -2(6) + b[/tex]

[tex]b = 6[/tex]

So

[tex]y = -2x + 6[/tex]

Answer:. 151/99

Step-by-step explanation:

Take the repeating digits from the decimal equivalent, 52 and place them as the numerator of a fraction with 99 as the denominator. That is 52/99

We can verify this value by doing the long division, or enter the values as 52÷99 on a calculator.

For the improper fraction:

Convert the whole number, 1, to its equivalent, 99/99. ( If the whole number is other than 1, multiply it by the denominator and use the product as the numerator. )

Add the numerators: 52 + 99 = 151

Our improper fraction equivalent of 1.525252 is 151/99

Answer:

6 units

Step-by-step explanation:

The total area that the surface of a 3-dimensional object would cover if its sides were laid flat is called it's surface area. Surface area is measured in square units. The surface area of a unit cube is 6 square units.

Answer:

answer is c:36. 240x.15=36

Answers:

Up to down (The y-coordinate is the vertical line in the coordinate plane)

Zero (A slope is made from how much the line rises divided by the distance it takes to do so, a flat, horizontal line will not rise, and therefore will have a slope of 0)

Answer:

1. is B: Up to Down

2. is C: zero

Step-by-step explanation:

The y-coordinate is the vertical line of the graph, so it is up to down.

When you have a horizontal line, that means you have a zero function meaning there is no coordinate on the x-axis.

Given:

Consider the given function is [tex]f(x)=-(x+1)(x-3)(x+2)[/tex].

To find:

The remaining zero and y-coordinate of y-intercept.

Solution:

We have,

[tex]f(x)=-(x+1)(x-3)(x+2)[/tex]

For zeros, [tex]f(x)=0[/tex].

[tex]-(x+1)(x-3)(x+2)=0[/tex]

[tex](x+1)(x-3)(x+2)=0[/tex]

[tex](x+1)=0,(x-3)=0,(x+2)=0[/tex]

[tex]x=-1,x=3,x=-2[/tex]

So, three zeros of given function are -1, 3 and -2.

Putting x=0 in the given function, we get

[tex]f(0)=-(0+1)(0-3)(0+2)[/tex]

[tex]f(0)=-(1)(-3)(2)[/tex]

[tex]f(0)=-(-6)[/tex]

[tex]f(0)=6[/tex]

So, the y-coordinate of y-intercept of the given function is 6. It means the y-intercept is at point (0,6).

Therefore, the zeros of the function [tex]f(x)=-(x+1)(x-3)(x+2)[/tex] are –1, 3, and -2 and the y-intercept of the function is located at (0,6).

Answer:

Can you show the whole question?

Answer:

The other endpoint is (-1, 1).

Step-by-step explanation:

What we know is one endpoint is at (5, -9). The midpoint is at (2, -4).

So, to find the slope, find (yB - yA)/(xB - xA)

(-4 -(-9))/(2 - 5)

(-4 + 9)/(2 - 5)

5/-3

The slope is -5/3.

Knowing this, subtract 3 from the midpoint's x, and add 5 to the midpoint's y.

((2 - 3), (-4 + 5))

The other endpoint is at (-1, 1).

Answer:

The answer is 3.

You have to do $12 divided by 4 pizzas which is 3. This means that each pizza cost $3.

Hope this helps.

Answer:

15 cm

Step-by-step explanation:

The perimeter of a rectangle is 2(L + W), where L is length of the rectangle and W is the width.

If we plug in 10 for W, we get this:

2L + 2(10) = 50 <-- the perimeter

2L + 20 = 50

2L = 30

L = 15

Answer: C) 1/7

Step-by-step explanation:

Find the Slope

(−7, 0) , (0, 1)

Slope is equal to the change in y over the change in x, or rise over run.

           change in y

    m =  _________

           change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called rise).

            [tex]y_2 -y_1[/tex]

    m = ______

           [tex]x_2 - x_1[/tex]

Substitute in the values of x and y into the equation to find the slope.

            1 − (0)

    m =  ______

            0 − (−7)

Simplify the numerator.

                1

    m =  ______

            0 − (−7)

Simplify the denominator.

Multiply −1 by −7.

                1

    m =  _____

             0 + 7

Add 0 and 7.

             1        

    m = ___

             7

Answer:

180 grams

Step-by-step explanation:

grams of dark chocolate= 200 % cocoa =60%

Grams of milk chocolate: 200 % cocoa=30%

Amount of cocoa in mixture:

(proportion of milk chocolate+ dark chocolate)

(30% of 200)+60% of 200)

(0.3* 200)+(0.6 *200)

60+120

=180 grams

Answer:

[tex]45\%[/tex]

Step-by-step explanation:

The 200g mixture of dark chocolate is 60% cocoa, meaning there are [tex]200\cdot 0.6=120[/tex] grams of cocoa in this mixture.

The 200g mixture of milk chocolate is 30% cocoa, meaning there are [tex]200\cdot 0.3=60[/tex] grams of cocoa in this mixture.

When mixed together there are a total of 200+200=400 grams of content. Of these 400 grams, 120+60=180 of them are cocoa.

Thus, the concentration of cocoa in the resulting mixture is:

[tex]\frac{180}{400}=\fbox{$45\%$}[/tex]

Answer:

math waaayys can help you

Step-by-step explanation:

Answer:

Hope this helps oWO

Step-by-step explanation:

Federal courts hear cases involving the constitutionality of a law, cases involving the laws and treaties of the U.S. ambassadors and public ministers, disputes between two or more states, admiralty law, also known as maritime law, and bankruptcy cases. Federal courts generally have exclusive jurisdiction in cases involving (1) the Constitution, (2) violations of federal laws, (3) controversies between states, (4) disputes between parties from different states, (5) suits by or against the federal government, (6) foreign governments and treaties, (7) admiralty and ...

Answer:

yeah I would say deal #1 is better

Answer:

First step is simplifying the equation by moving the square root to the right side and changing it to a Square ²

Step by step:

x-4=7²

(because we changed side square root becomes exponent ²)

x=49+4

x=53

Answer:

Option A. y = 4x

Step-by-step explanation:

From the question given above, the following data were obtained:

X >> Y

3 >> 12

4 >> 16

5 >> 20

6 >> 24

7 >> 28

Next, we shall use each of the options to obtain the first two value of y to which will correspond to the table above. This is illustrated below:

For Option A:

1. y = 4x

x = 3

y = 4 × 3

y = 12

2. y = 4x

x = 4

y = 4 × 4

y = 16

For Option B:

1. y = 4x + 12

x = 3

y = 4(3) + 12

y = 12 + 12

y = 24

2. y = 4x + 12

x = 4

y = 4(4) + 12

y = 16 + 12

y = 28

For Option C:

1. y = ¼ x

x = 3

y = ¼ × 3

y = ¾

2. y = ¼ x

x = 4

y = ¼ × 4

y = 1

For Option D:

1. y = ¼x + 12

x = 3

y = ¼(3) + 12

y = ¾ + 12

y = 51/4

2. y = ¼x + 12

x = 4

y = ¼(4) + 12

y = 1 + 12

y = 13

From the calculations made above, only option A ie. y = 4x correspond to the data given in the table above.

Answer:

hope this helps! (OwO)/

Step-by-step explanation: