The area of a rectangle is represented by the polynomial 3x3+14x2-23x+6. The width of the rectangle is represented by the expression x+6. Find the expression that represents the length of the rectangle.

Answer:

x = 18

Angle 4 = 31 degree

Angle 5 = 59 degree

Step-by-step explanation:

According to the question, angle 3 is 90 degree and the sum of angle 4 and 5 is equal to the angle 3 as they are vertically opposite angles.

Angle 4 + angle 5 = 90 degree

Angle 4 = 2 x - 5

angle 5 = 4 x - 13

So, according to the question,

2 x - 5 + 4 x - 13 = 90

6 x - 18 = 90

6 x = 108

x = 18

So, angle 4 = 2 (18) - 5 = 31 degree

So, angle 5 = 4 (18) - 13 = 59 degree

Answer:[tex]5x+3y+1=0[/tex]

Step-by-step explanation:

Given

The linear equation is [tex]5x+3y-9=0[/tex]

The other linear equation parallel to the given line can be represented by

[tex]5x+3y+c=0[/tex]

Here, c can take any value . for example c=1, line becomes

[tex]\Rightarrow 5x+3y+1=0[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\rm{-2x + 4 > 8}[/tex]

[tex]\large\textsf{SUBTRACT 4 to BOTH SIDES}[/tex]

[tex]\rm{-2x + 4 - 4 > 8 - 4}[/tex]

[tex]\large\textsf{CANCEL puts 4 - 4 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 8 - 4 because that helps solve for the x-value}[/tex]

[tex]\rm{8 - 4 = \boxed{\bf 4}}[/tex]

[tex]\rm{NEW\ EQUATION: -2x > 4}[/tex]

[tex]\large\textsf{DIVIDE -2 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{-2}{-2}>\dfrac{4}{-2}}[/tex]

[tex]\mathsf{CANCEL\ out: \dfrac{-2}{-2}\ because\ that\ gives\ you\ 1}[/tex]

[tex]\mathsf{KEEP: \dfrac{4}{-2} \ because \ it \ helps \you \ compare\ to \ the \ x-value }[/tex]

[tex]\mathsf{\dfrac{4}{-2} = \boxed{\bf -2}}[/tex]

[tex]\rm{\bold{x < -2 }}[/tex]

[tex]\rm{It\ is \ an\ O PENED \ circle \ shaded \ to \ the \ left \ side \ of \ the \ number \ line}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\bf x < -2}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Use the slope formula below:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

The m-term represents the slope.

The formula is the changes of two y-points over the changes of two x-points. We are given two points. Substitute both points in the formula.

[tex] \large{m = \frac{9 - ( - 7)}{ - 2 - 4} } \\ \large{m = \frac{9 + 7}{ - 6} \longrightarrow \frac{16}{ - 6} } \\ \large{m = \frac{8}{ -3 } \longrightarrow - \frac{8}{3} }[/tex]

Therefore the slope is -8/3

Answer

Hope this helps! Let me know if you have any doubts.

Answer:

y = -8 / 3x + 11/3

Step-by-step explanation:

Using the slope formula:

[tex]slope = y = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}[/tex]

1. Select one point to be [tex](x_{1} ,y_{1} )[/tex] and the other [tex](x_{2} ,y_{2} )[/tex]

I chose (-2, 9) to be [tex](x_{1} ,y_{1} )[/tex] and (4, -7) to be [tex](x_{2} ,y_{2} )[/tex]

2. Plug the values into the formula:

[tex]y = \frac{-7-9}{4-(-2)} \\\\y= \frac{-16}{6} \\\\y = \frac{-8}{3}[/tex]

3. Finding the c-value by plugging in one of the points into the equation

y = mx + c

9 = -8/3 (-2) + c

9 = 16/3 + c

c = 11/3

4. y = -8/3x + 11/3

Answer:

Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.

Step-by-step explanation:

What do we know:

What are we solving for;

Equation would be:

So for Jaden to buy a $290 bike, y would have to be replaced with 290, and solve for x;

=> 290 = 25x + 140

=> 290 - 140 = 25x

=> 150 = 25x

=> 150 / 25 = x

=> 6 = x

Therefore, Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.

Hope this help!

1. Indian System:-

(a) 23,45,678

(b) 56,78,090

2. International System:-

(a) 234,589

(b) 9,807,062

Answer:

This becomes way easier if you have the knowledge of inverse functions.

Let me make this clear. You have f(x)=x2+1 f(x)=x2+1 and g(f(x))=1/(x2+4)g(f(x))=1/(x2+4). Now pause and think about the second function. The function is defined as g(f(x))g(f(x)), right. now what if there is some way that you could manipulate this function and some how change it to g(x)g(x). Or think about with what other function should you multiply f(x)f(x) [the function in g(f(x))g(f(x)) ] to get xx [so that the function would be g(x)g(x)]. It is f(x)−1f(x)−1 right.

So let us find f(x)f(x) inverse. f(x)=x2+1f(x)=x2+1 then f(x)−1=x−1−−−−−√f(x)−1=x−1 right [ just swipe the xx with f(x)

Answer:

The slope is -1 and the y-intercept is -1 ?

[tex]slope = \frac{ - 6 - 1}{5 - ( - 2)} \\ = \frac{ - 7}{7} \\ = - 1 \\ y - intercept : \\ y = mx + c \\ 1 = ( - 1 \times - 2) + c \\ c = - 1 \\ [/tex]

Answer:

slope -1 and y intercept is -1

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

i got -2

Step-by-step explanation:

1 step; 8*x-5-(11)=0

2 step; 8x - 16  =   8 • (x - 2)

3 step;  Solve :    8   =  0

4 step; Solve  :    x-2 = 0

final part  Add  2  to both sides of the equation :  

                     x = 2

hear here is your answer in attachment attach

Answer:

Step-by-step explanation:

40 = 2*2*2*5  

60 = 2 * 2 * 3 * 5

80= 2 * 2 * 2 * 2 * 5

LCM = 2 * 2 * 2 * 2 * 5 * 3 = 240

HCF = 2*2*5= 20

The function of the absolute value is always positive the correct answer would be option (B).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

For example, |5| is 5 because it is 5 units away from 0.  Also, |-5| is also 5 because -5 is 5 units from 0.

We have to determine the statement best describes the function.

We have been given that the graph represents the absolute value parent function.

Since the parent function's graph with an absolute value that is always positive.

Therefore, the graph of the absolute value parent function would be always positive.

Hence, the correct answer would be option (B)

Learn more about the absolute value here:

brainly.com/question/1301718

#SPJ2

Answer:

none

Step-by-step explanation:

if we plot it, it's clear, but you might also spot that the plotted lines will be parallel in the equation

because x and y in line two are the same multiple of these in line one (both values are just the half)

plotted with desmoes

Answer: 3 hours

Step-by-step explanation:

the answer this can be solved by the function:

324 = 27x + 243

-243          -243

27x = 81

/27     /27

x = 3 hours past 7.

Answer:

no

Step-by-step explanation:

no

Answer:

74.8925767 rounded to 75

Step-by-step explanation:

Answer:

A) y=3cos(-x)

Step-by-step explanation:

Because the amplitude of the graph is 3, this eliminates options C and D as their amplitudes are different. With the period of the graph being 2π, B cannot be correct because that would have a period of π/2. Therefore, A is correct.

Answer:

Y=x^2 -2x + 3

Step-by-step explanation:

it's quadratic like:-)

Answer:

500 cubic centimetres

Step-by-step explanation:

Answer:

1/27

Explanation:-

(1/3)^3=(1x1x1)/(3x3x3)=1/27

Answer:

0.03703703703 or

                                                                                                                                 ²/27

sorry i am late but still hope I helped

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Using the Sine rule in Δ ABC

∠ B = 180° - (30 + 50)° = 180° - 80° = 100° ( sum of angles in triangle ) , then

[tex]\frac{13}{sin100}[/tex] = [tex]\frac{BC}{sin30}[/tex] ( cross- multiply )

BC × sin100° = 13 × sin30° ( divide both sides by sin100° )

BC = [tex]\frac{13sin30}{sin100}[/tex] ≈ 6.6 ( to the nearest tenth )

Answer:

Step-by-step explanation:

a) x + 20  = 70                 Vertically opposite angles are congruent

b) 2x - 50 = x + 20           Vertically opposite angles are congruent

c) 3x - 10  + 140 = 180           Linear pair

Answer:

(a) 70= x+20 (vertical angles are equal)

70 - 20=x

50=x

(b) x +20 = 2x -50 (vertical angles are equal)

20 + 50 = 2x - x

70 = x

(c) 140 +3x -10=180 (angles on the straight line)

130 +3x = 180

3x = 180 - 130

3x = 50

x= 50/3

Answer:

x = 4 and y = 8.

Step-by-step explanation:

The given equations are :

-8x+y=-24 ....(1)

and

3x-2y=-4 .....(2)

Multiplying equation (1) by 2.

-16x+2y=-48 ....(3)

Adding equation (2) and (2).

3x-2y+(-16x+2y) = -4-48

3x-16x= -52

-13x = -52

x = 4

Put the value of x in equation (1)

-8(4)+y=-24

-32 + y = -24

y = -24+32

y = 8

Hence, the solutions of the equations are x = 4 and y = 8.

Answer as a fraction = 2/3

Answer in decimal form = 0.667 (approximate)

=======================================================

Explanation:

The first thing we need is to find the mean. Add up the values to get 3+3+4+5+5+4 = 24. Then divide by n = 6 since there are 6 values.

24/n = 24/6 = 4

The mean is 4

Now subtract the mean from each value

Apply absolute value to each result so that the difference is not negative.

We get this new list: {1, 1, 0, 1, 1, 0}

Now compute the mean of that new list to get the final answer

1+1+0+1+1+0 = 4

4/n = 4/6 = 2/3 = 0.667 approximately

Answer:

hi how are you

Step-by-step explanation:

hope you are good

Answer:

1

[tex] = \frac{45}{100} \times 75 \\ = 33.75[/tex]

2.

[tex] \frac{150}{100} \times 36 \\ = 54[/tex]

3.

[tex] \frac{850}{100} \times 255 \\ = 21675[/tex]

Answer:

4) y + 3 = 6x

Step-by-step explanation:

The y-intercept of your graph is (0, -3)

Putting 4) in standard form:

y = 6x - 3 the y-intercept is also (0, -3)