What is the value of x in the product of powers below?
6^9•6^x=6^2
0-11
0 -7
O 7
O 11

the answer for this equation is -3x

Answer:

I think it's D

Step-by-step explanation:

The equivalent equation is (x - 3)² = 17

The equation given is :

x² - 6x = 8

The equation is a quadratic equation

A quadratic equation is an equation that has one variable that is raised to the power of 2.

it is usually in the form : ax² + bx + c = 0  

a, b,c are known numbers

x is unknown

To determine which option is correct, we are to solve for each of the options to see which is correct

1. (x - 6)² = 44

(x -6)(x -6) = 44

x² - 6x -6x + 36 = 44

x² -12x + 36 = 44

x² - 12 = 8

The first option is not correct

2. (x - 3)² = 14

(x -3)(x -3) = 14

x² - 3x -3x + 9 = 14

x² -6x + 9 = 14

x² - 6x = 5

the second option is not correct

3. (x-6)² = 20

(x -6)(x-6) = 20

x² -6x -6x + 36 = 20

x² -12x = -14

the third option is not correct

4. (x - 3)² = 17

(x-3)(x - 3) = 17

x² - 3x - 3x + 9 = 17

x² - 6x = 8

The fourth option is correct

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Answer:

c

Step-by-step explanation:

we are given that

[tex] \displaystyle a_{n} = - 3 \: \cdot a_{n - 1} \\ a_{1} = 45[/tex]

we are already given our first term i.e 45

for second term

[tex] \displaystyle a_{2} = - 3 \: \cdot a_{2- 1} [/tex]

simplify substraction:

[tex] \displaystyle a_{2} = - 3 \: \cdot a_{1} [/tex]

since we have [tex]a_1=45[/tex]

substitute:

[tex] \displaystyle a_{2} = - 3 \: \cdot 45[/tex]

simplify multiplication:

[tex] \displaystyle a_{2} = - 135[/tex]

for third term

[tex] \displaystyle a_{3} = - 3 \: \cdot a_{3- 1} [/tex]

simplify Substraction:

[tex] \displaystyle a_{3} = - 3 \: \cdot a_{2} [/tex]

as [tex]a_2=-135[/tex]

substitute:

[tex] \displaystyle a_{3} = - 3 \: \cdot - 135[/tex]

simplify multiplication:

[tex] \displaystyle a_{3} = 405[/tex]

for forth term

[tex] \displaystyle a_{2} = - 3 \: \cdot a_{4- 1} [/tex]

simplify Substraction:

[tex] \displaystyle a_{2} = - 3 \: \cdot a_{3} [/tex]

substitute:

[tex] \displaystyle a_{2} = - 3 \: \cdot 405[/tex]

simplify multiplication:

[tex] \displaystyle a_{2} = - 1215[/tex]

hence,

the first four terms are 45,-135,405,-1215

Step-by-step explanation:

hence,

the first four terms are 45,-135,405,-1215

Answer:

x = C - By over A

Step-by-step explanation:

To solve for x, we need to isolate the variable.

Ax + By = C

Focusing on the left side of the equation (this is to isolate x), we can see that By is the farthest from x, and that it's adding. So we subtract from both sides. The -By would cancel out +By, which would leave us with.

Ax = C - By

Here we see that A is multiplying x, opposite of multiplication is division, so we divide both sides by A, which would give us:

x = C - By over A

Answer:

He was an Anti-federalist

Step-by-step explanation:

Answer:

Anti-federalist

Step-by-step explanation:

The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.

Answer:

B

Step-by-step explanation:

We can write

[tex]4=\sqrt{\frac{3v}{3.14*8}}\\4^2=\frac{3v}{25.12}\\16*25.12=3v\\401.92=3v\\133.9733333333333=v[/tex]

Answer:

[tex]\boxed {\boxed {\sf a \approx207.35 \ in^2}}[/tex]

Step-by-step explanation:

Since the central angle is given in degrees, we should use this formula to find the area of the sector:

[tex]a=\frac{\theta}{360} \times \pi r^2[/tex]

The central angle is 165 degrees and the radius is 12 inches.

Substitute the values into the formula.

[tex]a= \frac{165}{360} \times \pi (12 \ in)^2[/tex]

Solve the exponent.

[tex]a= \frac{165}{360} \times \pi(144 \ in^2)[/tex]

Multiply all the numbers together.

[tex]a= 207.345115137 \ in^2[/tex]

Round to the nearest hundredth (two decimal places).

The 5 in the thousandth place (in bold above) tells us to round the 4 in the hundredth place up to a 5.

[tex]a \approx207.35 \ in^2[/tex]

The area of the sector is approximately 207.35 inches squared.

Answer:

0.25

Step-by-step explanation:

5 divided by 20 is what you need to do to get that

Answer:

x=2, y=1/2. (2, 1/2).

Step-by-step explanation:

x+2y=3

3x-2y=5

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

4x=8

x=8/4

x=2

2+2y=3

2y=3-2

2y=1

y=1/2

Answer:

y = 1/3x - 4

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify

Slope m = 1/3

y-intercept b = -4

Step 2: Write Equation

Substitute variables into general form

y = 1/3x - 4

Answer:

300 I think

Step-by-step explanation:

V=1/3 Bh

B=10*9=90

90*10=900         1/3 of 900= 300

Answer:

[tex] - 4 + 3b {}^{2 } = 143 \\ 3b {}^{2} = 143 + 4 \\ 3b {}^{2} = 147 \\ b {}^{2} = \frac{147}{3} \\ b {}^{2} = 49 \\ b = 7[/tex]

Answer: 10

Step-by-step explanation:

the 6 digit in 63,700 is 60,000 and the 6 digit in 76,000 is 6,000.

60,000 / 6,000 is 10.

Answer: 10 ten

Step by step explanation:

[tex]x = \frac{10}{\sqrt{2}}\\\\y = 5[/tex]

Answer:

- 5 + 4a

Step-by-step explanation:

- 6 + 2a + 1 + 2a

- 6 + 1 + 4a

- 5 + 4a

Answer:

a: is 36

Step-by-step explanation:

Answer:

(1/2,1/4) because m= 1/5 and m= 1/2 and te equation is y=1/4x - 5/2 and y= 1/2x - 1

Substracting both

[tex]\\ \sf\Rrightarrow x=4-10=-6[/tex]

Putting in eq(2)

[tex]\\ \sf\Rrightarrow -6-4y=10[/tex]

[tex]\\ \sf\Rrightarrow -4y=16[/tex]

[tex]\\ \sf\Rrightarrow y=-4[/tex]

Hence our solution is

Answer: 45 people

Step-by-step explanation:

Data: $50 to rent the Skate Center

$5.50 for each person who attends

Limit of spending: $300

How many people can attend=x

Step one, Make the equation

$5.50x+$50=$300

Reason: Since we know that amount of people(x) multiplied by $5.50 added to $50 will get us $300, we can make an equation from that. The equation will make the problem simpler to solve.

Step two, Start isolating x by subtracting $50 on both sides

$5.50x+$50-50=$300-50=$5.50x=$250

Reason: Since we have to find x, we have to isolate it. The first step in doing that is subtracting $50 by 50 to get rid of it. However, since what you do to one side, you do to the other, you have to subtract $300 by 50 to get $250.

Step three, Divide by 5.50 on both sides

$5.50x/5.50=$250/5.50=x=45.454545454-

Reason: Since we have to isolate x and 5..50 is being multiplied by x, you have to divide it by 5.50 to get rid of 5.50. What you do to one side, you do to the other so you divide 250/5.50 to get 45.4545454545-.

Since this is a irl problem, you have to round it to 45 people

Answer: 45 people

I hope this helps!

9514 1404 393

Answer:

  the correct choice is marked

Step-by-step explanation:

  [tex]f(x)\cdot g(x)=(x^2-81)\dfrac{x+9}{x-9}=\dfrac{(x-9)(x+9)(x+9)}{(x-9)}\\\\=\boxed{(x+9)^2}[/tex]

Answer:

Angle 3 is 80°

Step-by-step explanation:

it is a vertically opposite angle to angle 2, which is 80°

Answer:  $18.19.

You'll have to set this up as two separate problems. First, we want to take 15% off the original $20 bill. To do this, you're going to multiply 20 by .15, which gives you $3. So, 15% off $20 is $17.

Now, we want to find 7% of the new bill, so we're going to multiply 17 by .07 to get $1.19, and add it to the $17, making the final bill $18.19. You could also multiply $17 by 1.07 to get your final total without the extra step in the middle, but only do that once you're comfortable with the math.

Answer:

y=-1/2*+5

Step-by-step explanation:

Step-by-step explanation:

la carretilla estaba a unos 15 metros de altura

Answer:

10(x+10)(127)

=1270x+12700

The given expression gives [x] as 2.7.

We have the following equation -

10(x + 10) = 127

Given is -

10(x + 10) = 127

x + 10 = 12.7

x = 12.7 - 10

x = 2.7

Therefore, the given expression gives [x] as 2.7.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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#SPJ2

Step-by-step explanation:

the area of shaded region =

the area of square - the area of 1 circle

= (12×12) - (3.14 × 6²)

= 144 - 113.04

= 30.96 => 31 sq. unit

Answer:

is it only my or is the picture like static

Step-by-step explanation:

Answer:

2450

Step-by-step explanation:

You have the size of one of the playgrounds area's, but remember, there are 2. So double your answer.

Answer:

June - August

Step-by-step explanation:

First count all of the Temperature values!

1. 40 + 45 + 58 + 69 + 78 + 88 + 92 + 90 + 82 + 70 + 57 + 45 = 814

2. now divided by the amount of months!

3. the average answer is 66 and 67!

Mmm, I'm stuck in this point! Just try June - August

But this is how you can find the average with a graph!