3^x = 9x. What is the value of x?​

The rational function graphed in this problem is defined as follows:

f(x) = -3(x - 2)/(x² - x - 6).

The vertical asymptotes of the rational function in this problem are given as follows:

x = -2 and x = 3.

Hence the denominator of the rational function is given as follows:

(x + 2)(x - 3) = x² - x - 6.

The zero of the rational function is given as follows:

x = 2.

Hence the numerator is given as follows:

a(x - 2).

In which a is the leading coefficient.

Hence:

f(x) = a(x - 2)/(x² - x - 6).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = -2a/-6

-1 = a/3

a = -3.

Hence the function is:

f(x) = -3(x - 2)/(x² - x - 6).

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Answer:

The 99% confidence level (-0.741, -0.659).

Step-by-step explanation:

The average body mass index (BMI) in a sample of 1559 men was 30.4, with a standard deviation of 0.6.

The average BMI in a sample of 1924 women was 31.1 with a standard deviation of 0.2.

Find a 99% confidence interval for the difference between the mean weights..

The formula for 99% Confidence Interval for difference between the mean weights =

μ is the population mean, and σ is the population standard deviation.

μ1 - μ2 ± z × √σ²1/n1 + σ²2/n2

The z score for 99% confidence interval = 2.576

30.4 - 31.1 ± 2.576 × √0.6²/1559 + 0.2²/1924

-0.7 ± 2.576 × √0.36/1559 + 0.04/1924

-0.7 ± 2.576 × √0.0002309173 + 0.00002079

-0.7 ± 2.576 ×√0.0002517073

-0.7 ± 2.576 × 0.015865286

-0.7 ± 0.04086897674

Hence, the 99% Confidence Interval is

-0.7 - 0.04086897674

= -0.74086897674

≈ -0.741

-0.7 + 0.04086897674

=-0.65913102326

≈ -0.659

Therefore, the 99% confidence level (-0.741, -0.659).

Answer:

1 in 144

Step-by-step explanation:

There is one 8 on a 12-sided die, so the probability of rolling an 8 once is [tex]\frac{1}{12}[/tex].

We are rolling twice, so [tex](\frac{1}{12})^{2} =\frac{1}{144}[/tex].

Answer:

1.86/2 = 0.93/2 = 0.465/2 = 0.2325

Step-by-step explanation:

Answer:

3 units

Step-by-step explanation:

There are 3 squares between them.

Answer:

3

Step-by-step explanation:

In this problem we need to kind of write the picture into an equation so the first thing we see are 4 xs on the far left-hand side this is representing "4x" then we see 5 - blocks on the right which represents "-5" because we have 5 minuses then on the other side we see 7 + blocks which represent just "7". After we identify everything in the picture we can write an equation so 4x -5 = 7. Then we solve so we need to separate x on one side and all the other numbers to the other to do that we can move the -5 to the side the 7 is on and because of math when we move a number to another side of the equation we have to switch the sign it has so if it was -5 then on the other side it would be 5 then we add 7 to 5 which would equal 12. Then we are left with 4x = 12 and to keep x on its own side we need to divide 4 from the other side because it is  multiplying on the x side and again we need to switch the sign. then we are left with x=3. Hope this helps!

Answer:

its 25% meaning A is the answer

Step-by-step explanation:

Answer:

18.04/0.2 = 90.2

Step-by-step explanation:

Answer:

a.) 4

Step-by-step explanation:

a.)4

Answer:

area of triangle = 1/2×base×height

area of triangle =1/2×15m×16m

area of triangle =120m²

Answer:

r = 1.41 mm

Step-by-step explanation:

Given that,

The circumference of the flower, C = 8.9 mm

We need to find its radius. We know that,

Circumference, [tex]C=2\pi r[/tex]

Where

r is the radius of the object

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{8.9}{2\pi}\\\\r=1.41\ mm[/tex]

So, the radius of the object is equal to 1.41 mm.

Answer:

P (F or C)  = 27/36= 0.75

Step-by-step explanation:

There are 36 vehicles in all.

There are total 26 cars.

There are total Ford vehicles which are 15 in number out of which 14 are cars. The results can be summarized as follows.

                           Cars                   Trucks            Total Vehicles

Ford                           14                           1                      15

Toyota                      7                              3                     10

Gm                            5                              6                     11                    

Total                        26                            10                     36      

As the events are composite

The probability of randomly selecting vehicle is either a Ford or a car is given by  P (F or C) = P(F) + P(c)- P(FC)

where P(F) is the probability of the Ford car and P (C) is the probability of the car.

P(F)= 15/ 36

P(C)= 26/36

P(FC)= 14/36

This is the additive rule applied for composite events.

P (F or C) = P(F) + P(c)- P(FC)

             = 15/36 + 26/36- 14/36

                = 27/36=0.75

Answer:

2923.34

Step-by-step explanation:

π×r²×h

3.14 ×7 ²×19 2923.34

2923.34

Step-by-step explanation:

the formula for the volume of a cylinder is V = 3.14 × radius squared × h. So 3.14 × 49 × 19 which equals 2924.82

the two points for each equation are:

For y = 2x + 9:

Point 1: (0, 9)

Point 2: (3, 15)

For -6x = 4 + 2y:

Point 1: (0, -2)

Point 2: (2, -8)

To find two points for each of the given equations, we can arbitrarily choose values for x and then calculate the corresponding y values.

For the equation y = 2x + 9:

Let's choose x = 0:

y = 2(0) + 9

y = 9

So, one point is (0, 9).

Let's choose x = 3:

y = 2(3) + 9

y = 6 + 9

y = 15

Another point is (3, 15).

For the equation -6x = 4 + 2y:

Let's choose x = 0:

-6(0) = 4 + 2y

0 = 4 + 2y

-4 = 2y

y = -2

One point is (0, -2).

Let's choose x = 2:

-6(2) = 4 + 2y

-12 = 4 + 2y

-16 = 2y

y = -8

Another point is (2, -8).

Therefore, the two points for each equation are:

For y = 2x + 9:

Point 1: (0, 9)

Point 2: (3, 15)

For -6x = 4 + 2y:

Point 1: (0, -2)

Point 2: (2, -8)

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The total cost of the car purchase, including the base price, freight charge, air conditioner cost, and license-related fees, is $68,937.

To calculate the total cost of the car purchase, we need to consider the base price of the car, the charge for freight, and the additional costs for the air conditioner and license-related fees.

Given:

Base price of the car: $64,987

Freight charge: $2,300

Additional costs:

Air conditioner cost: Let's assume it's $500 (not explicitly mentioned in the given information)

License-related fees: Let's assume it's $150 (not explicitly mentioned in the given information)

To calculate the total cost, we add up all the costs involved:

Total cost = Base price + Freight charge + Air conditioner cost + License-related fees

Total cost = $64,987 + $2,300 + $500 + $150

Total cost = $68,937

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Answer:

4/8.

Step-by-step explanation:

4/8 is the correct answer for this question. This is why. If you take 8 and divide it in half, your answer will be 4. Also because fractions are division so the fraction 8/2 equals 4. This means the 1/2 mark is equal to 4.

Answer:

try to multiply the $400 to the interest and divided by $22.40

Answer:

x=56º

Step-by-step explanation:

The cube tells us that 34º and x must equal 90º

So we use what we know to find the missing piece

90º=34º+x

-34º -34º

56º=x

Answer:56

Step-by-step explanation:90+34+x=180 because triangles angels sums up to 180 degrees

180-124=x

56=x

Answer:

6,656 rabbits

Step-by-step explanation:

Population of rabbits = 26

Population doubles every 30 days

how many rabbits will be on the farm after 240 days?

t = 240 days / 30 days

= 8

Future Amount = 26(2)^t

=26(2)^8

= 26(256)

= 6,656

Therefore, the population of rabbits on the farm after 240 days is 6,656

Answer:

I thought of 10

Step-by-step explanation:

Ambler, blamer, ramble, amble, blame, abler, blare, blear, blam, blae

Answer: (4,-11)

Step-by-step explanation: To perform a 180 degree rotation we switch the signs of the coordinates

Answer:

4,-11

Step-by-step explanation:

The answer is 4,-11 because if you think that you go over -4 and go up 11. Now switch the negative sign to the y coordinate because it is a 180 degree turn then you have your answer. 4,-11

pls mark as brainliest!!

Answer:

False. It is not possible for a triangle to have two right angles.

Step-by-step explanation:

Every triangle has 3 sides and, therefore, 3 angles (hence its name "tri" (three) "angle" (angles). Always, the sum of the three angles of a triangle will have a value of 180º. Therefore If two of the angles of a triangle were right, that is, they measured 90º, the third angle would be 0º, that is, it would be non-existent.Therefore, it is impossible for two angles of a triangle to be right angles.

Answer:

67

Step-by-step explanation:

complementary mean it equals 90 degrees

90-23 = 67

m<2=67

Answer:

1) the angles are supplementary because they sum up to 180 degrees

2) the two angles are same-side interior angles

3) 3x + 10 + 3x - 28 = 180

4) => 6x = 198 => x = 33

Answer:

33 messy

Step-by-step explanation:

for a minute i thought it was c. y = -3x + 2.

Answer:

10 3/25

Step-by-step explanation:

Answer:

7.92 cm^3

Step-by-step explanation:

To find volume all you have to do is multiply the length, width, and height. The answer would be: l * w * h = 2.2 * 2 * 1.8 = 7.92 cm^3.

Answer:

A. 22.5

Step-by-step explanation:

Apply Trigonometric function.

Reference angle = 64°

Opposite side to 64° = x

Hypotenuse = 25

Apply SOH:

Sin 64 = Opp/Hyp

Sin 64 = x/25

25 × Sin 64 = x

22.4698512 = x

x = 22.5 (nearest tenth)