Find the slope of the line.

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:

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:

1

Step-by-step explanation:

the answer is the correct soulotion to what x and y repersent. (sorry for bad grammar, english isnt my first language)

Answer:

The correct answer to your question I believe is 1

Step-by-step explanation:

So yes the first person is correct :) Hope I helped though. Have a great day! Bye! You got this!

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:

hope this helps! (OwO)/

Step-by-step explanation:

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

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:

math waaayys can help you

Step-by-step explanation:

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 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:

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

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:

b c a

Step-by-step explanation:

b c a;b c a; b c a; b c a; b c a

Answer:

Step-by-step explanation:

THe first one is infinitely many solutions , you see y-2x=7 is the same as y=2x+7 which means they will intersect on every point

y-2x=7, simply add 2x to both sides

y=2x+7

The second one has no solution, if you solve for y on each side, you will find that the lines are parallel (slope is the same) and will never intersect.

THe third one has one solution

Answer: For 25% put the smallest one and for 60% put the one with blue shaded over six lines not included 0 line the small lines bye

Step-by-step explanation:

no no no no no

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: 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.

Answer:

The equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]

Step-by-step explanation:

We need to write the equation of the line that passes through the points (7,-8) and (2, -8).

We need to write answer in fully reduced point-slope form, unless it is a vertical or horizontal  line.

The general equation of point-slope form is: [tex]y-y_1=m(x-x_1)[/tex]

where m is slope of the line.

To find the slope, we can use formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=7,y_1=-8,x_2=2, y_2=-8[/tex]

Putting values and finding slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-8-(-8)}{2-7}\\Slope=\frac{-8+8}{-5}\\Slope=\frac{0}{-5}\\Slope=0[/tex]

So, we find the slope : m = 0

Now, using the point (7,-8) and slope m =0, the required equation is:

[tex]y-y_1=m(x-x_1)\\y-(-8)=0(x-7)\\y+8=0\\y=-8[/tex]

So, the equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]

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:

They each got 1/10th of the bag

Step-by-step explanation:

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

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:

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:

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:

2/15 * 5/4= 10/60 simplify 1/6

Step-by-step explanation:

:)

Answer:

.2

Step-by-step explanation:

Answer:

3.38

Step-by-step explanation:

first do the multiplication

2×0.81

= 1.62

then the subtraction

5- 1.62= 3.38

Answer:

yeah I would say deal #1 is better

Answer:

When simplified its 8x^9 y^12

Step-by-step explanation:

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:

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.

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.

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]