Simplify, and Write answer without parentheses

First let us know about Polynomial –

Types of polynomials based on the degree–

[tex]\qquad[/tex] ☀️ Constant polynomial :-

Example : 6 (6x⁰ : degree of x : 0)

[tex]\qquad[/tex]☀️ Quadratic polynomial :-

Example : 3x² + 7x + 6 (3x² : degree of x : 2)

[tex]\qquad[/tex]☀️ Cubic polynomial :-

Example : 5x³ + 3x² + 7x + 6 (5x³ : degree of x : 3)

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow (1) p(x) = 6x² – 7x + 2 + q(x) = 6x³ – 7x + 15}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² – 7x + 2 + (6x³ – 7x + 15)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² + 6x² – 7x – 7x + 2 + 15[/tex]

[tex]\qquad[/tex][tex]\purple{ \bf \longrightarrow 6x³ + 6x² – 14x + 17}[/tex]

[tex]\qquad[/tex][tex]\pink{\bf \longrightarrow (2) h(x) = 7x³ – 6x + 1 + f(x) = 7x² + 17x – 9}[/tex]

[tex]\qquad[/tex][tex]\sf \longrightarrow 7x³ – 6x + 1 + (7x² + 17x – 9)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 7x³ + 7x² – 6x + 17x + 1 – 9[/tex]

[tex]\qquad[/tex][tex]\pink{\bf\longrightarrow 7x³ + 7x² + 11x – 8}[/tex]

1) The degree of the polynomial is 3.

2) The degree of the polynomial is 3.

[tex]\text{Given that,}\\\\ab = 8 ~ \text{and}~ a^2 +b^2 = 35\\\\\text{Now,}\\\\(a-b)^2 = a^2 +b^2 -2ab\\\\\implies (a-b)^2 =35 - 2 (8) \\\\\implies (a-b)^2 = 19\\\\\implies a-b = \pm\sqrt{19}\\\\\text{Case 1:}\\\\(a-b)^3 = (a-b)^2(a-b)\\\\\implies (a-b)^3 = 19 \left(\sqrt{19}\right)\\\\\text{Case 2:}\\\\(a-b)^3 = (a-b)^2(a-b)\\\\\implies (a-b)^3 = -19 \left(\sqrt{19}\right)[/tex]

Answer:

Step-by-step explanation:

The solution is the point where the lines cross:  (-6,2)

Youi can also solve the equations.

y=1/2x+5

2x+3y=-6

Use the first in the second equation to find x:

2x+3y=-6

2x+3[(1/2)x + 5]=-6

2x + 1.5x + 15 = -6

3.5x = -21

x = -6

Use this in either equation to find y:

y=1/2x+5

y=1/2[-6]+5

y = 2

The answer is (-6,2)

Answer:

x=0 y=-4

Step-by-step explanation:

Answer:

They can make 480 bagels in 15 hours. The rate is 32 bagels per hour. Hope this helped! if the answer is wrong i'm super sorry!

Step-by-step explanation:

160 = 5hr

160 x 3 = 480

5 x 3 = 15

480/15 = 32

Answer:

2x = 40°

3x = 60°

4x = 80°

Step-by-step explanation:

2x+3x+4x = 180°

9x = 180

x = 20

SO

2x = 2(20) = 40°

3x = 3(20) = 60°

4x = 4(20) = 80°

Answer:

The amount spent on water and biscuits is $5.4 and $3.6, respectively

From the question, the ratio is given as:

[tex]Biscuits : Water= 3 : 2[/tex]

Represent both proportion as a fraction

[tex]Biscuits = \frac 35[/tex]

[tex]Water= \frac 25[/tex]

Kolyhan has $9.

So, the amount spent on biscuit is:

[tex]Biscuit= \frac 25 \times 9[/tex]

[tex]Biscuit= 3.6[/tex]

The amount spent on water is:

[tex]Water = 9 - 3.6[/tex]

[tex]Water = 5.4[/tex]

Hence, the amount spent on water and biscuits is $5.4 and $3.6, respectively

Read more about ratios and proportions at:

https://brainly.com/question/18170686

Hence, 'b = -9' is the answer.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Answer:

C and E

Step-by-step explanation:

the position of the minus either up or down affects both the numerator and denominator.

but if both number have minus the minus cancels each other

Answer:

B, C, E

Step-by-step explanation:

A is -/- and therefore +

B is - -/- = -+ = -

C is -/+ = -

D is - -/+ = -- = +

E is +/- = -

Answer:

There are a few key features of a graph; though I'm not exactly sure which ones are the '4 key features'

Step-by-step explanation:

There are a few key features of a graph.

- (x and y) intercepts

- Domain

- Range

- Increasing/Decreasing

- Vertex

-Max/min

- is the graph a function?

I'm not exactly sure what the 4 main key features of a graph is; since there are many features of a graph.

But I'm guessing its the

-x and y intercept

-Max/min

-Domain

-Range

The x intercept is (-15,0)

y intercept is (0,-5)

I was never properly taught how to find the domain and range of a graph, and I can't really find much about the domain and range of graphs that have no clear end to either side (continuous line) so I'm sorry, I can't really help you on that.

Answer:

Linear graph

Slope is 1/3

The y intercept is -5

The x intercept is -15

Step-by-step explanation:

The graph is a straight line graph

Slope = ∆y/∆x

= (-5 - 0)/-15-0

= -5/-15

= 1/3

Y-intercept is the value on the y-axis when x is 0

X-intercept is the value on the x-axis when y is 0

[tex]x = \frac{7}{9} \: \: \: y = \frac{5}{6} \\ \\ - 2y + x \\ = - 2( \frac{5}{6} ) + \frac{7}{9} \\ = - \frac{5}{3} + \frac{7}{9} \\ = \frac{ - 15 + 7}{9} \\ = \frac{ - 8}{9} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

c is the answer

Step-by-step explanation:

simplified on left-hand side is 2<5 and it is the same as -2<5

hope this helped :)

Answer:

x = 3

Step-by-step explanation:

7- 3x = 2x - 8

7 = 5x - 8                   Add 3x on both sides

15 = 5x                       Add 8 on both sides

3 = x                            Divide both sides by 5

The answer is 17, Volume = h × π×r^2

Divide by known height from both sides

Divide by pi

square root

19

Explanation:

9-3=6

(Check your work)

3+6=9

__________________________________

6÷1/3=18

(Check your work)

(6×3=18)

__________________________________

18+1=19

Therefore,

the answer is 19!

20.52 is the answer Sol ed

Answer:

holi , cómo estás espero que bien bueno déjame te digo que está facil soy de México pero voy a clases de inglés y ya me la hicieron esa pregunta y es la D hojala te ayude mucho

Answer:

C. Reflection

Step-by-step explanation:

Hope it helps!

Answer:C

Step-by-step explanation:

I seraph it up

Latisha works x hours a day.

No. of hours Demetrius works = x+1 a day.

No. of working days a week = 5

No. of hours Demetrius works weekly =

= 5(x+1)

which can also be written as 5x+5

So the c option is correct.

Answer:

Below in bold

Step-by-step explanation:

∫ dx / (x^2√(9-x^2))

Substitute x = 3sinu and dx = 3cosu du

then the √(9-x^2) = √( 9 - 9sin^2u) = 3 cos u  and u = arcsin(x/3)

= 3 ∫(csc^2 u du )/ 27

= 1/9 ∫(csc^2 u du

= -1/9 cot u

= -√9-x^2) / 9x.

Answer:

D 14.8

Step-by-step explanation:

A=L*W which means length times width. 3.7x4= 14.8

nasa pick po yong answers

#CARRYONLEARNING

love y'all

The two pairs of figures that are similar are shown in figure 1 and 3.

What is Similar quadrilateral?

Two quadrilaterals are similar when there corresponding angles are equal to each other.

Given that;

In figure 1;

Two triangles are shown.

In figure 2;

One rectangle and other is square.

In figure 3;

Two rectangle are shown.

Now,

Since, Two quadrilateral are similar when there corresponding angles are same.

In the figure 1;

The angles of first triangles = 37° , 53°

So, The third angle = 180 - (37 + 53)

                              = 90

The angles of second triangles = 37° , 53°

So, The third angle = 180 - (37 + 53)

                              = 90

Thus, There all angles are equal to each other.

So, These figure are Similar.

And, In figure 2;

One figure is square and other is a rectangle.

So, It is not similar.

And, In figure 3;

Both figure are rectangle.

And, All angles in a rectangle are 90 degree.

Thus, they are similar.

Therefore,

The two pairs of figures that are similar are shown in figure 1 and 3.

Learn more about the similar quadrilateral visit:

https://brainly.com/question/16261621

#SPJ5

Therefore, the class will need 8 yards.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

If I understand the problem correctly

The blank on the left would be 14

and the blank on the top would be 350

Answer:

9/10

Step-by-step explanation:

There are 10 possible choices for the 2nd digit : 0, 1, 2, 3, 4, 5, 6, 7, 8 , and 9.

Whatever the first digit is, there are 9 ways to make the 2nd digit different.

Answer:

48

Step-by-step explanation:

4 plus 8 is 12 and the ones digit is double the tens digit