f(x) = (2x + 4)/(3x + 2) Consider the function For this function there are two important intervals: (- ∞, A) and (A, ∞) where the function is not defined at A. Find A

Answer

5-n

Step-by-step explanation:

Answer:

0

*see below incase you worded it wrong

Step-by-step explanation:

then we substitute 2 for f(x)

2 = 3x + 2

0 = 3x

x = 0

UNLESS you mean f(2) is what then that is:

f(2) = 3(2) + 2 = 8

hope that helps!

Answer:

12

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

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Trabajando con porcentajes, concluimos que la pérdida es de $4800.

Sabemos que la inversión inicial es de $60000, y de esta cantidad, se pierde un 8%.

Entonces la pérdida va a ser el 8% de $60000.

Podemos escribir las relaciones:

$60000 = 100%

x = 8%

Queremos resolver esto para x, tomando el cociente entre esas relaciones y resolviendo para x obtenemos:

x = $60000*(8%/100%) = $60000*0.08 = $4800

Así, concluimos que la pérdida es de $4800.

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Answer:

x²+14x+24 = (x+2)(x+12)

Step-by-step explanation:

We need to factorize the given expression i.e. x²+14x+24.

We find two integers such that their sum is 14 and product is 24.

x²+14x+24 = x²+12x+2x+24

=x(x+12)+2(x+12)

= (x+2)(x+12)

Hence, the factors of the given expression is (x+2)(x+12).

Answer:

\(468 {in}^{2} \)

Step-by-step explanation:

see attached image, surface area is the area of each surface added together

Answer: 24

Step-by-step explanation:

Evaluate (y+z)2 when y=−3 and z=15.

(-3 + 15)*2 = 12 * 2 = 24

Answer: 0.0465

Step-by-step explanation:

It is in the thousandths place  ✅

It has 465 in it ✅

Is it in standard form ✅

Answer:

.00465

4.65 x 10^-5

Step-by-step explanation:

Answer:

256, -1024, 4096, -16384

i think that's it

it's being multiplied by -4 (geometric)

Answer:20 years

Step-by-step explanation: Let your present age be 'x'

If you are 5percent holder then your age is 21

x +5/100×x =21

x+5x/100=21

100x+5x/100=21

105x/100=21

x=21×100÷105

x=20

The equation that represents the number of weeks that is needed to baby sit to buy gaming chair is 35.5w + 136.45 = 455.95; w = 9  , the correct option is (b) .

In the question ,

it is given that

the cost of the gaming chair = $455.95

amount of money already saved for the gaming chair = $136.45

amount of money earned by baby sitting each week = $35.50 .

let the number of weeks required to baby sit is " w  " .

the equation can be represented by

cost of chair = money saved + money earned in w weeks

Substituting the values from above ,

we get

455.95 = 136.45 + 35.5w

On solving further ,

136.45 + 35.5w = 455.95

35.52w = 455.95 - 136.45

35.52w = 319.5

w = 319.5 / 35.52

w = 8.99

w ≈ 9

the number of weeks = 9

Therefore , The equation that represents the number of weeks that is needed to baby sit to buy gaming chair is  35.5w + 136.45 = 455.95; w = 9  .

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Answer:

Step-by-step explanation:

To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.

From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.

Using the given values of a₁, a₃, and a₅, we can find the first few differences:

a₃ - a₁ = 4 - (-6) = 10

a₅ - a₃ = 14 - 4 = 10

So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:

a₂ = a₁ + d = -6 + 10 = 4

a₄ = a₃ + d = 4 + 10 = 14

a₆ = a₅ + d = 14 + 10 = 24 - 1

a₇ = a₆ + d = 24 - 1 + 10 = 33

Now, we can find the second difference between consecutive terms:

a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0

a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5

a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9

Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:

an = an² + bn + c

Substituting the values we know, we get three equations:

a₁ = a₁² + b₁ + c --> -6 = c

a₃ = a₃² + b₃ + c --> 4 = 9a + b + c

a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c

Solving this system of equations, we get:

a = 1/2, b = 19/2, and c = -6

Therefore, the equation for the nth term in the sequence is:

an = (1/2)n² + (19/2)n - 6.

Step-by-step explanation:

(a) The lower limit of the 90% confidence interval can be calculated using the formula:

lower limit = sample mean - margin of error

Plugging in the given values, we have:

lower limit = 7.43 - 1.32

lower limit = 6.11 (rounded to 2 decimal places)

Therefore, the lower limit of the 90% confidence interval is approximately 6.11 hours per night.

(b) If 500 random samples like this were selected, and a 90% confidence interval was constructed using each sample, the expected number of intervals that would contain the population mean can be approximated using the margin of error as a guide.

Since the margin of error is 1.32 hours, we can expect roughly 90% of the confidence intervals to contain the true population mean. Therefore, out of 500 samples, we would expect approximately:

500 * 0.9 = 450

So, approximately 450 of these confidence intervals would contain the population mean.

Answer:

B

Step-by-step explanation

TIENES QUE SIEMPRE FIJARTE EL DE ABAJO Y DESPUES EL DE ARRIBA

EN PLAN LA LINEA QUE PASA POR EL EJE

Answer:

37.04%

Step-by-step explanation:

To find the percentage increase in the value of Tessa's stock, we need to calculate the difference between the original price and the current price, and then divide that difference by the original price, and multiply by 100 to express the result as a percentage.

Here is the calculation:

percentage increase = ((284.96 - 208.00) / 208.00) * 100

= (76.96 / 208.00) * 100

= 37.04 * 100

= 37.04%

So Tessa's stock has increased in value by 37.04%.

Answer:

37 % increase

Step-by-step explanation:

To find the percentage increase, take the new amount and subtract the original amount

284.96 -208 =76.96

Divide this by the original amount

76.96/208=.37

Change the decimal form to a percent

.37 * 100% = 37 %

Answer:

y = 4

RS = 35

ST = 26

Step-by-step explanation:

Given:

RS = 8y + 3

ST = 5y + 6

RT = 61

Required:

a. Value of y

b. Numerical lenght of RS and ST

SOLUTION:

a. Points R, S and T are collinear, therefore, based on segment addition postulate, the following equation can be created to find the value of y:

\( RS + ST = RT \)

\( (8y + 3) + (5y + 6) = 61 \) (substitution)

Solve for y

\( 8y + 3 + 5y + 6 = 61 \)

Combine like terms

\( 8y + 5y + 3 + 6 = 61 \)

\( 13y + 9 = 61 \)

Subtract 9 from both sides

\( 13y + 9 - 9 = 61 - 9 \)

\( 13y = 52 \)

Divide both sides by 13

\( \frac{13y}{13} = \frac{52}{13} \)

\( y = 4 \)

b. RS = 8y + 3

Plug in the value of y

RS = 8(4) + 3 = 32 + 3

RS = 35

ST = 5y + 6

Plug in the value of y

ST = 5(4) + 6 = 20 + 6

ST = 26

Answer:

Guy above me is Wrong its 14

Step-by-step explanation:

The slope (rate of change) of the graph shown is 31.3 miles per gallon.

An equation is an expression that shows the relationship between two variables and expressions.

Slope is the ratio of vertical rise to horizontal run. It is given by:

Slope = rise / run

The point passes through (10, 313) and (20, 626), hence:

Slope = rise/run

Slope = (626 - 313) / (20 - 10) = 31.3

The graph's slope is 31.3 miles per gallon.

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Answer:   About the building of his bed

PLEASE GIVE BRAINLIEST!

Answer:

800 km, or 2/3 of the way.

Step-by-step explanation:

if a car travels at 80km/h, then that means in one hour, it covers 80 km.  Therefore, we can say that in 10 hours, that it should cover 800 km, and in 15 hours, it can cover 1200km.

Answer:

240 Pints

Step-by-step explanation:

To convert 30 gallons into pints you need to multiply 30 by the conversion factor in order to get the volume amount from gallons to pints.

Answer: 240 pints

Step-by-step explanation:

One pint is equal to 0.125 gallons.

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation:

Answer:

750

Step-by-step explanation:

A relative value indicating hundredth parts of any quantity. 1.5 is 0.2% of 750.

A relative value indicating hundredth parts of any quantity.

We need to find the number whose 1.5 is 0.2%.(one point five is zero point two percent)

Let x be the number which is 0.2% of a number 1.5.

The percentage value is converted to decimal value by dividing with 100.

0.2/100×x=1.5

zero point two divided by hundred time of x is equal to one point five.

0.002x=1.5

Divide both sides by 0.002

x=1.5/0.002

x equal to one point five by zero point zero zero two.

x=750.

x equal to seven hundred fifty.

Hence 1.5 is 0.2% of 750.

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a) Probability that the next accident occurs between 50 and 100 days = 0.2044198

b) Probability that the time until an accident occur exceeds the mean time by more than 2 standard deviations =  0.04978707

c) The probability that it will be at least 80 days until an accident occurs = 0.2865048

d) the value of the median time until an accident occurs = 27.7258

Median time

a) Let T be the amount of time until an industrial facility accident occurs.

Daily rate lambda = 1/Mean = 1/40

Exp(lambda = 1/40), T

If the distribution is exponential,

P(T t) = 1 - exp (-lambdat) = 1 - exp(-t/40)

P(50 T 100) is the probability that the next accident will occur between 50 and 100 days.

= P(T < 100) - P(T < 50)

= (1 - exp(-​​​​​​​100/40)) - (1 - exp(-​​​​​​​50/40))

= exp(-1.25) (-1.25) - exp(-2.5) (-2.5)

= 0.2865048 - 0.082085

= 0.2044198

b) Standard deviation = Mean = 40 in the case of an exponential distribution.

The probability of the next accident occurring exceeds the mean time by two standard deviations.

= P(T > 40 + 2 * 40)

= P(T > 120)

= exp(-​​​​​​​120/40)

= exp (-3)

= 0.04978707

c) Given that there is no accident until 30 days, the likelihood is that it will be at least 80 days before an accident occurs.

= P(T > 80 | T > 30)

= P(T>80 and T>30) / P(T>30)

= P(T > 80) / P(T > 30)

= p(- 80/40) / exp(- 30/40)

= exp(-50/40) = (-1.25)

= 0.2865048

d) If the distribution is exponential,

P(T t) = 1 - exp(-lambdat) = 1 - exp(- t/40).

P(T t) = 0.5 for the median value Tm.

1 - exp(-​​​​​​​Tm/40) = 0.5

exp(-​​​​​​​Tm/40) = 0.5

-​​​​​​​Tm/40 = log (0.5)

-​​​​​​​Tm/40 = -0.6931472

Tm = 40 * 0.6931472

= 27.72589 days

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Answer:

5p

Step-by-step explanation:

1) -4/3

2) 4

Step-by-step explanation:

1) Line is passing through the points (3, 0) & (0, 4)

slope of line = (4 - 0)/(0 - 3) = 4/(-3) = -4/3

2) y-coordinate of the y-intercept = 4

Answer:

9.1031 < 9.208 < 9.23 < 9.3

Step-by-step explanation:

Look at the tenths part of the decimals which is the main part, don't get confused just because there is more numbers after a small decimal number

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