Combine like terms to simplify the following polynomial.

x + y + z + x + 2z + 3y

2x + 4y + 3z


9xyz


4x + 2y + 3z


x2 + y4 + z3

Answer:

3/2

Step-by-step explanation:

[tex]\\ \sf\longmapsto 2a^2-2ab-3b^2-9[/tex]

[tex]\\ \sf\longmapsto 2(3)^2-2(3)(2)-3(2)^2-9[/tex]

[tex]\\ \sf\longmapsto 2(9)-12-3(4)-9[/tex]

[tex]\\ \sf\longmapsto 18-12-12-9[/tex]

[tex]\\ \sf\longmapsto 6-18[/tex]

[tex]\\ \sf\longmapsto -12[/tex]

Answer:

3

Step-by-step explanation:

2(3)^2 - 2(3)(2) - 3(2)^2 + 9

2(9) - 12 - 3(4) + 9

18 - 12 - 12 + 9

= 3

Answer from Gauth math

Answer:

Here is your answer . hope this helps you.

Answer:

-5.126

Step-by-step explanation:

PEMDAS

-4.326 + (-0.32) ÷ 0.4

-0.32 ÷ 0.4

= -0.8

-4.326 + (-0.8)

= -4.326 - 0.8

= -5.126

Answer:

Step-by-step explanation:

A( 3 , 4)  &   C(5 , 8)

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]AC = \sqrt{(5-3)^{2}+(8-4)^{2}}\\\\=\sqrt{(2)^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47 units[/tex]

M is the midpoint of AB

A(3,4)  &B(7,4)

[tex]M(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\M(\frac{3+7}{2},\frac{4+4}{2})\\\\M(\frac{10}{2},\frac{8}{2})[/tex]

M(5,4)

Answer:

.38

Step-by-step explanation:

Given that they have green eyes, we only look at the green row

Total is 3+5+5 = 13

Red hair is 5

P( red hair ) red / total = 5/13 =.384615385

Answer:

Condition relative frequency is 0.38

Step-by-step explanation:

P( red hair given that has green hair ):

[tex]{ \boxed{ \bf{P( \frac{red}{green}) }}}[/tex]

From baye's theorem:

[tex]P( \frac{R}{G} ) = \frac{P(RnG)}{P(G)} [/tex]

[tex]{ \sf{ = \frac{5}{(3 + 5 + 5)} }} \\ \\ = { \sf{ \frac{5}{13} }} \\ \\ = { \sf{0.384615…}}[/tex]

Answer:

Step-by-step explanation:

Permutations of "Panda"

Two of the 'Panda" s we can get as a result

Using Permutation

[tex]\boxed{\sf ^nP_r=n!}[/tex]

[tex]\\ \sf\longmapsto ^5P_r=5![/tex]

[tex]\\ \sf\longmapsto 1\times 2\times 3\times 4\times 5[/tex]

[tex]\\ \sf\longmapsto 120[/tex]

Now

[tex]\\ \sf\longmapsto P(Panda)=\dfrac{2}{120}[/tex]

[tex]\\ \sf\longmapsto P(Panda)=\dfrac{1}{60}[/tex]

Answer:

[tex]\displaystyle \frac{265}{99}[/tex]

Step-by-step explanation:

Hi there!

Let [tex]x[/tex] be equal to the fraction form of the decimal.

[tex]x=2.\overline{67}[/tex]

Multiply both sides by 100:

[tex]100x=267.\overline{67}[/tex]

The reason we multiply both sides by 100 is that 2.6767... has two repeating decimals, 6 and 7, and 100 has two zeros.

Now, we have these two equations:

[tex]100x=267.\overline{67}[/tex]

[tex]x=2.\overline{67}[/tex]

Subtract [tex]x=2.\overline{67}[/tex] from [tex]100x=267.\overline{67}[/tex]:

[tex]100x=267.\overline{67}\\- x=2.\overline{67}\\\rule{70}{0.5}\\99x=265[/tex]

Isolate [tex]x[/tex] by dividing both sides by 99:

[tex]\displaystyle x=\frac{265}{99}[/tex]

I hope this helps!

Answer:

B

Step-by-step explanation:

The inscribed angle Q is half the measure of its intercepted arc , so

arc RS = 2 × 75° = 150°

The sum of the 3 arcs = 360° , then

arc QR = 360° - (150 + 133)° = 360° - 283° = 77° → B

Answer:

Hello,

do you mean factorise but not solve ?

Just one formula:

[tex]\boxed{a^2-b^2=(a-b)(a+b)}[/tex]

Step-by-step explanation:

[tex]g)\\\\16x^3y-81xy^5\\\\=xy(16x^2-81y^4)\\\\=xy(4x^2+9y^2)(4x^2-9y^2)\\\\=xy(2x-3y)(2x+3)(4x^2+9y^2)\\\\\\\\h)\\\\x^8-y^8\\\\=(x^4+y^4)(x^4-y^4)\\\\=(x^4+y^4)(x^2+y^2)(x^2-y^2)\\\\=(x-y)(x+y)(x^2+y^2)(x^4+y^4)\\[/tex]

Answer:

here only one formula to use in both question

a^2+b^2= (a+b)(a-b)

Answer:

Yes

Step-by-step explanation:

Plugging in the values in the equation, we have

1=3*(2)-5, 1=1 which is TRUE

Answer:

11

Step-by-step explanation:

Subtract:

-8 + x = 3

+8        +8

--------------

    x = 11

Hope this helped.

Answer:

x = 11

Step-by-step explanation:

−8 + x = 3

Add 8 to both sides

x = 11 ✓

Answer:Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

Negative Factors of 72: -1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -36 and -72.

Prime Factors of 72: 2, 3.

Prime Factorization of 72: 2 × 2 × 2 × 3 × 3 = 23 × 32

Sum of Factors of 72: 195.

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to undo that e, you need to take the natural log of both sides:

[tex]ln(e^x)=ln(7.1)[/tex] the ln and the e cancel each other out, leaving us with

x = ln(7.1) so

x = 1.96

Answer:

whats the question

Step-by-step explanation:

for me to help

Answer: A

Therefore, the answer is A.

Answer:

a = 38

Step-by-step explanation:

The two angles add to 90 degrees

a+52 = 90

a = 90-52

a = 38

Answer:

Below

Step-by-step explanation:

The little box on the angle indicates that it is 90 degrees

All you need to do now to find angle a is to subtract 52 from 90...

90 - 52 = 38 degrees

Hope this helped!

Answer:

centre = (1, 3 ) , radius = 2

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 1)² + (y - 3)² = 4 ← is in standard form

with centre = (1, 3 ) and r = [tex]\sqrt{4}[/tex] = 2

Answer:

-17.6,-13.8,-9.4,-3.6,-3.2,13.8

From number line the closer a decimal number is to zero the greater it is

Answer:

2tanθ -2 = y

Step-by-step explanation:

First, to make things a little simpler, we can say that the point between C and B is D, so BD = y

We are given that ∠ADC = 45° , and ∠ACD = 90°. Because the angles of a triangle add up to 180 degrees, we can say

∠CAD + ∠ACD + ∠ADC = 180°

∠CAD + 90 + 45 = 180

∠CAD = 45°

In a 45/45/90 degree triangle, we can say that the two non-hypotenuse sides are the same. The hypotenuse is opposite of the right angle, so in this triangle, it would be AD. Therefore, we can say that AC = CD = 2

Because BC = CD + DB , we can say that

BC = CD + DB

BC = 2 + y

y = BC -2

Therefore, if we know BC, we can solve for y.

We want to solve for BC given

- the angle opposite of it (θ)

- the side adjacent to the angle (AC).

One equation that fits this is

tanθ = opposite/adjacent

tanθ = BC/AC

tanθ  = (2+y)/2

multiply both sides by 2 to remove a denominator

2 tanθ=2+y

subtract 2 from both sides to isolate th y

2tanθ -2 = y

Answer:

a/b

Step-by-step explanation:

The rational form of a:b or simply a/b is in the simplest form.

Answer:

Step-by-step explanation:

the answer is option 2 from the above sheet

Answer:

Step-by-step explanation:

Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3

Answer:

a). 7

b). -17

c). -2

Step-by-step explanation:

You have to substitute the given x value into the equation.

a). f(3)= 3(3)-2

=9-2

=7

Answer:

Option A is correct

Step-by-step explanation:

Hope it is helpful....

The graph to the inequality is Graph A.

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have the Inequality y +2 ≤ 1/4x -1

Now, simplifying the inequality

y ≤  1/4x -3.

As, The equation of a line in Slope-Intercept form is:

y= mx+ b

where m is the slope and b is intercept.

Here we have m = 1/4 and b= -3.

Now, we have the sign of inequality is ≤ then line is solid and the shaded region is below the line.

Learn more about Inequality here:

https://brainly.com/question/29046067

#SPJ7

Answer:

a=1  b=2

Step-by-step explanation:

a+2b=5

3a-b=1

Multiply the second equation by 2

6a-2b=2

Add the two equations together

a+2b=5

6a-2b=2

-------------------

7a    = 7

Divide by 7

7a/7 = 7/7

a=1

Now find b

3a-b =1

3(1) -b =1

3-b=1

Subtract 3 from each side

3-b-3=1-3

-b = -2

Multiply by -1

b=2

Answer:

please mark me brainliest

Step-by-step explanation:

a+2b=5...equ 1

3a-b=1...equ 2

3a+6b=15...equ 3

3a-b=1...equ 4

elimination method

3a has been cancelled

so 6b+b=7b

15-1=14

7b=14

b=14/7

b=2

substitute 2 for b in equ 2

3a-b=1

3a-2=1

3a=1+2

3a=3

a=3/3

a=1

a=1,b=2

Answer:

3. 0

4. n = -2

Step-by-step explanation:

I haven't taken pre-calc but this looks a lot like algebra.

For #3, just plug in -2 for the x values, so:

x^2 + 4x +4

(-2)^2 + 4(-2) + 4

= 4 - 8 + 4

= 0

For #4, move the variables to one side and solve( im not sure what the pi is for tho, or is that a n?):

5n + 6 = -3n - 10

add 3n to both sides

8n + 6 = -10

subtract 6 from both sides

8n = -16

divide both sides by 8

n = -2

Answer:  1:30 PM

It takes 30 minutes

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

Explanation:

x = number of hours traveled

We'll use the equation

distance = rate*time

You bike at a rate of 12 mph and do so for x hours. That means you travel 12x miles based on the equation above. Your friend travels 4x miles for similar reasoning. Overall, the two of you travel a combined distance of 12x+4x = 16x miles. This combined distance is set equal to the 8 miles (distance between your houses) and you solve for x.

16x = 8

x = 8/16

x = 1/2

x = 0.5

Recall x is the number of hours, so that means it takes 1/2 an hour for the two of you to meet. This is equivalent to 30 minutes since 1/2*60 = 30.

If all of this starts at 1 PM, then you'll meet up at 1:30 PM since we add on 30 minutes to 1 PM to get to this moment in time.

------------------

Extra info:

You travel 12x = 12*0.5 = 6 miles

Your friend travels 4x = 4*0.5 = 2 miles

Total distance = you+friend = 6+2 = 8 miles

This helps confirm the answer.

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

[tex]\huge\boxed{\mathsf{4[30-(10-2)\times3]}}[/tex]

[tex]\huge\boxed{\rightarrow\mathsf{4[30 - (\bold{8}}) \times3]}[/tex]

[tex]\huge\boxed{\rightarrow \mathsf{4[30 - \bf 24]}}[/tex]

[tex]\huge\boxed{\rightarrow \mathsf{4(30) + 4(-24)}}[/tex]

[tex]\huge\boxed{\rightarrow \mathsf{\bf 120 - 96}}}[/tex]

[tex]\huge\boxed{\rightarrow\mathsf{\bf 24}}[/tex]

[tex]\huge\boxed{\rm{Answer: \mathsf{24}}}\huge\checkmark[/tex]

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

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

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2 - 6x = -156    Next step is:

x^2 - 6x + (-3)^2 = -156 + (-3)^2