Select all of the following that are potential roots of p(x) = x4 − 9x2 − 4x + 12?

Answer and Step-by-step explanation:

What the question is asking is that it wants you to make the equation show equal to n.

We can do that by dividing both sides by RT, to get n by itself.

[tex]PV = nRT\\\\\\\frac{PV}{RT} = n[/tex]⇔ This is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

9 and 6

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

7) [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

9) [tex]5log_4(7) - 5log_4(12)[/tex]

11) [tex]5log_5 \ (x) - log_5 \ (y)[/tex]

Step-by-step explanation:

[tex]log_3 (\frac{x}{y})^{4}[/tex]

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Use Logarithm of a Quotient which states

[tex]log_b \frac{M}{N} = log_b M-log_bN[/tex]

And also use Logarithm of a Power which states

[tex]log_b\ M^{n} = n\log_bM[/tex]

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So using these two properties,

7. [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

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For #9, use the same logarithm propertied

[tex]log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)[/tex]

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#11 is also the same concept

[tex]log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)[/tex]

It is not  - 5 log5(y) since only x is to the power of 5 not y

Answer:

function is f(x) = x+6

and the missing outputs are 19, 24 and 27

Answer:

2

Step-by-step explanation:

when it's multiplication exponent add up

so the one in the parentheses will be ( x^4/3 x ^2/3) = x ^ 4/3 +2/3 = x ^ 6/3

when you simplify it will give you x ^2

now the last step will be to multiple the exponent

x^ 2/3

Answer:

9x-4=12x-55.....

as they are vertically opp angles

9x-12x= -55+4

-3x= -51

x= 17

Answer:

See explanation below

Step-by-step explanation:

The slope for f(x) is 6, meaning that you for each one x-unit you move, the plot goes up 6 y-units.

This is the same for g(x) but the slope is negative, so the line needs to face downwards. For each one x-unit you move, the plot goes down 6 y-units.

After drawing the two lines, you find that the transformation is a reflection because the lines are perpendicular to each other. They have the same slope, but in different directions.

Answer:

y = 3x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = 6 + c ⇒ c = 3 - 6 = - 3

y = 3x - 3 ← equation of line

Answer:

n= 6. hope this helped as I tried my best.

Step-by-step explanation:

2³ × 2^n = 2⁹

Answer: 5.76 miles

Step-by-step explanation:

Let the distance between Victoria and Georgetown on the map be represented by x.

The information given in the question can then be formed into an expression which will be:

0.9/x = 10.5/67.2

Cross multiply

(10.5 × x) = 67.2 × 0.9

10.5x = 60.48

x = 60.48/10.5

x = 5.76

The answer is 5.76 miles

the second one I believe but im not the greatest at math so dont trust me

£40 and £20

Step-by-step explanation:

let the parts be 2x and x (2:1)

2x+x=£60

or, 3x= £60

or, x= £20

2x=2×£20=£40

x=£20

Step-by-step explanation:

x equals 40

.... good luck!

Answer:

Answer is D

Step-by-step explanation:

Answer:

111

like add 14 to 18 to find y value

making 32

32+5 that's 37

multiply 3 and 37

111

that ur answer

Answer:

x = -5/2

Step-by-step explanation:

Answer:

possblie awnser is 1:Possible answer for Triangle 1: m∠A = 70°; m∠B = ∠55°; m∠C = 55°.

The compass marks equal lengths on both sides of ∠A; therefore, AB

Step-by-step explanation:

Answer:

m<M =100 M<N=60 m<p=20

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Step-by-step explanation:

5+x=3(x-7)+6

5+x-3x+21-6=0

-2x+20=0

-2x=-20

x=-20/(-2)

x=10

Given:

The two endpoints of a vector are P = (2, 9) and Q = (4, 14).

To find:

The component form and magnitude of vector PQ .

Solution:

A vector is defined as

[tex]v=\left<x_2-x_1,y_2-y_1\right>[/tex]

Where, [tex](x_1,y_1)[/tex] is the initial point and [tex](x_2,y_2)[/tex] is the terminal point.

Two endpoints of a vector are P = (2, 9) and Q = (4, 14). So, the vector PQ is

[tex]\overrightarrow{PQ}=\left<4-2,14-9\right>[/tex]

[tex]\overrightarrow{PQ}=\left<2,5\right>[/tex]

Component form of vector PQ is [tex]\left<2,5\right>[/tex].

The magnitude of a vector [tex]v=\left<a,b\right>[/tex] is

[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]

The magnitude of vector PQ is:

[tex]|\overrightarrow{PQ}|=\sqrt{2^2+5^2}[/tex]

[tex]|\overrightarrow{PQ}|=\sqrt{4+25}[/tex]

[tex]|\overrightarrow{PQ}|=\sqrt{29}[/tex]

Therefore, the correct option is A.

Answer:

Step-by-step explanation:

.05c+.1b>80, if 480 cans were collected

.05(480)+.1b>80

24+.1b>80

.1b>56

b>560

So the minimum number of bottles collected is 561

Answer:

Let the length of missing side x.

x^2 = 16^2 + 30^2

x^2 = 1156

x = √1156

x = 36

Step-by-step explanation:

Hope it is helpful....

Answer:

Step-by-step explanation:

x ² = 16² +30²

x ² = 1156

x = √1156

x =34