Need true or false answers

The function g ( x ) in the graph has one x-intercept , y intercept and an oblique asymptote , a vertical asymptote

An asymptote is a line that a curve approaches but never touches. A line where the graph of a function converges is known as an asymptote. When graphing functions, asymptotes are typically not required

There are 3 types of asymptotes

Horizontal asymptote (HA) - It is a horizontal line and hence its equation is of the form y = k. Horizontal Asymptote is when the function f(x) is tending to zero

Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k. Vertical asymptotes are defined when the denominator of a rational function tends to zero

Slanting asymptote (Oblique asymptote) - It is a slanting line and hence its equation is of the form y = mx + b

Given data ,

Let the function be represented as g ( x )

Now , the value of g ( x ) is

g ( x ) = ( -4x² + 36 ) / ( x + 3 )

On simplifying , we get

g ( x ) = -4 ( x² - 9 ) / ( x + 3 )

On further simplification , we get

g ( x ) = -4 ( x + 3 ) ( x - 3 ) / ( x + 3 )

g ( x ) = -4 ( x - 3 )

g ( x ) = -4x + 12

Now , the function has a vertical asymptote at ( 0 , 12 )

The function has a horizontal asymptote at ( 3 , 0 )

Hence , the function is solved

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Answer:

at least one x-intercept

at least one y-intercept

domain of x

Step-by-step explanation:

took ed2023

Answer:

[tex] \sf \: f(2) = - 2[/tex]

Step-by-step explanation:

Given function,

→ f(x) = 4x - 5x

Now we have to,

→ Find the required value of f(2).

Then the value of f(2) will be,

→ f(x) = 4x - 5x

→ f(2) = 4(2) - 5(2)

→ f(2) = 8 - 10

→ [ f(2) = -2 ]

Hence, the value of f(2) is -2.

yearly multiplication growth factor is  (1+0.011) = 1.011.  the year 2017, seven years after 2010, the population will be  [tex]24800*2A1.011^7 = 26,774[/tex]

what is multiply ?

Along with addition, subtraction, and division, multiplication is one of the four arithmetic operations. Multiplication in math refers to regularly adding groups of the same size. The formula for multiplication is multiplicand multiplier Equals product. Specifically, multiplicand: First number (factor). divider: Second number (factor). After multiplying the multiplicand and the multiplier, the result is known as the product. Multiple additions are made while adding numerals. as in 5 times 4 Equals 5 + 5 + 5 + 5 = 20. I multiplied 5 by 4 times. Multiplication is frequently referred to as "doubling" because of this.

yearly multiplication growth factor is  (1+0.011) = 1.011.

the year 2017, seven years after 2010, the population will be  [tex]24800*2A1.011^7 = 26,774[/tex]

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Side a will be 58cm.In mathematics, a side is a feature of a geometric shape.

The "A-side" of a record, which is the main song, is issued as a single. The "A-side" of an album is the side that this track is on. The word "side" is most frequently employed as a noun, however it can also be used as an adverb or a verb. The shapes we observe are made of points and lines (line segments) (vertices).

Finding the side, we obtain:

Given ∠A= 30°, b =100 cm .

In ΔABC,

tan A = [tex]\frac{a}{100}[/tex],

tan 30°=  [tex]\frac{a}{100}[/tex]

0.577×100=a

a=57.7≅58 cm.

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The system of equations are parallel lines and they do not intersect. Thus, the system has no solution.

Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline.

No matter how far we extend a parallel line, it will never meet another parallel line.

Given that,

y=x-2

y=x-1

For x = 1:

y = x - 2 = 1 -2 = -1

y = x - 1 = 1 - 1 = 0

For x = 2:

y = 2- 2 = 0

y = 2 -1 = 1

Plot the graph using the points.

The two lines have the same slope hence they are parallel lines.

Since, the two lines are parallel the system has no solutions.

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Answer:

To solve this problem, we need to use the formula for compound interest:

A = P * (1 + r/n)^(nt)

where:

A = future value of the account

P = present value (the contributions)

r = interest rate (as a decimal)

n = number of times the interest is compounded per year

t = number of years

First, we need to find the future value of the account (A) after 10 years of withdrawals at $10,000 per quarter. This means there will be 40 quarters in total ($10,000 * 40 = $400,000).

Next, we need to find the present value of the account (P) after 15 years of contributions.

Let's call the quarterly contributions "x".

We can set up the equation as follows:

$400,000 = x * (1 + 0.08/4)^(4 * 15) - $10,000 * (1 + 0.08/4)^(4 * 10)

We can now solve for x using a financial calculator or by using a programming language to perform the calculation. The result of this calculation is that Mike's quarterly contributions should be $2,597.29 in order to accomplish his goal.

The quotient is -3x²/2 + 7x/4 + 7/8 and the remainder is 23x/8 - 1. The solution has been obtained by using polynomial long division method.

What is polynomial long division?

A formula for multiplying one polynomial by another of the same degree or lower is known as a long division polynomial. Like with long division of numbers, the components of long division of polynomials include the divisor, quotient, dividend, and remainder.

We are given dividend as -3x⁴+5x³+0x²+2x-1 and divisor as 2x²-x.

Using Polynomial Long Division,

Dividing : -3x⁴+5x³+0x²+2x-1 ("Dividend")

By : 2x²-x ("Divisor")

Dividend                   -3x⁴ + 5x³ + 0x² + 2x - 1

- divisor * -3x²/2       -3x⁴ + 3x³/2

Remainder                       + 7x³/2 + 0x² + 2x - 1

- divisor * 7x/4                  + 7x³/2 - 7x²/4

Remainder                                      7x²/4 + 2x - 1

- divisor * 7/8                                   7x²/4 - 7x/8

Remainder                                                  23x/8 - 1

Quotient : -3x²/2 + 7x/4 + 7/8

Remainder: 23x/8 - 1

Hence, the solution has been obtained.

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The amount of investment at a rate of 2.75% and 4.75% will be $13,800 and $4,200m, respectively.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The formula for interest is written as,

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

Let 'x' be the amount of investment at a rate of 4.75%. Then the amount of investment at a rate of 2.75% is ($18,000 - x). Then the equation is given as,

(18,000 - x) × 0.0275 + 0.0475x = 579

495 - 0.0275x + 0.0475x = 579

0.02x = 84

x = $4,200

Then the value of ($18,000 - x) is given as,

$18,000 - x = $18,000 - $4,200

$18,000 - x = $13,800

The amount of investment at a rate of 2.75% and 4.75% will be $13,800 and $4,200m, respectively.

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A) The data is a random sample from the population of interest. - Yes, it is mentioned that the administrator takes an SRS (Simple Random Sample) of 100 teachers from the statewide database containing every teacher.

Simple Random Sample (SRS) is a statistical technique for selecting a sample from a population, where each individual or item in the population has an equal chance of being selected for the sample. In other words, a simple random sample is a representative subset of a population where every individual or item in the population has an equal chance of being selected for the sample.

To take a simple random sample, each individual in the population is assigned a unique number, and then random numbers are generated to select the required number of individuals for the sample. This method ensures that the sample is not biased towards any particular subset of the population, and that the sample is representative of the whole population.

A) The data is a random sample from the population of interest. - Yes, it is mentioned that the administrator takes an SRS (Simple Random Sample) of 100 teachers from the statewide database containing every teacher.

B) np^≥10n p^​ ≥10n, p, with, hat, on top, is greater than or equal to, 10 and n(1−p^)≥10n(1− p^​ )≥10n, left parenthesis, 1, minus, p, with, hat, on top, right parenthesis, is greater than or equal to, 10 - Since the problem does not provide the value of p, we cannot determine if the condition np^≥10n and n(1−p^)≥10n are satisfied.

C) Individual observations can be considered independent. - The problem does not provide information about whether the individual observations can be considered independent. However, we can assume that since it is a random sample, the observations are independent.

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The required equation in terms of r is r = (W - FB) / F

An equation is a mathematical statement given by connecting two expressions by equal sign.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example: 3x=9y, 67x = 90+39y

Given that an equation W = F(r + B) we need to solve the equation for r,

Therefore, rearranging for r,

W = F(r + B)

Using the distributive law,

W = Fr+FB

Transposing FB to the LHS

Fr = W - FB

Diving the equation by F

r = (W - FB) / F

Hence, the equation in terms of r is r = (W - FB) / F

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Answer:

Step-by-step explanation:

The battery level after two hours of constant use unplugged is found replacing the instance of x on the line of best fit by 2.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The variables for this problem are given as follows:

Hence after a time of two hours the battery level is found as the numeric value at x = 2.

The problem is incomplete, hence the general procedure to solve the problem is presented.

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The graph of the quadratic function y = -6x² + 1 is given by the image presented at the end of the answer.

The parent quadratic function is given as follows:

y = x².

The transformed quadratic function is given as follows:

y = -6x² + 1.

The transformations are given as follows:

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Answer:

541.5 ksh

Step-by-step explanation:

Answer:

Option D.

Step-by-step explanation:

Negative correlation also called an " inverse correlation " is a relation between 2 variables where-by they behave in opposite manner. When one variable moves ---> in an increasing /\ direction, the other variable moves in a decreasing \/ direction.

Thus, Option D.

The amount you made per share is $8.50.

From the question, we have the following parameters that can be used in our computation:

Initial amount = $63.00

Final amount = $71.50

To calculate the profit made, we need to find the difference between the selling price and the buying price per share, and then multiply by the number of shares.

The difference in price per share is:

Difference = $71.50 - $63.00

Evaluate the difference

Difference = $8.50

Hence, the profit per share is $8.50.

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The total area of the figure with points A(-5,4), B(4,4), C(4,1),  D(1,1), E(4,-3) F(4,-6), G(-5, -6) is 51 square units.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Divide the figure is into two rectangles and a triangle.

The points B, C, E, and F form a rectangle with base BC and height 7 units.

The points A, D, and G form a rectangle with base AG and height 5 units. The points C, D, and E form a triangle with base CE and height 4 units.

The length of BC is 4 - 4 = 0, so the area of the rectangle with base BC is 0.

The area of the rectangle with base AG is (4 - (-5)) x 5 = 45 square units. The area of the triangle with base CE is (4 - 1) x 4 / 2 = 6 square units.

Therefore, the total area of the figure with points A(-5,4), B(4,4), C(4,1),  D(1,1), E(4,-3) F(4,-6), G(-5, -6)  is 45 + 6 = 51 square units.

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a)The standard deviation is given by σ = sqrt(np(1-p)) = sqrt(24 × 0.75 × 0.25) = 2.12 . b)Significantly low: μ - 2σ = 18 - 2 × 2.12 ≈ 13.76 ,Significantly high: μ + 2σ = 18 + 2 × 2.12 ≈ 22.24 ,c)z = (x - μ) / σ = (3 - 18) / 2.12 ≈ -7.08.

A group of 24 peas with green pods has a binomial distribution with n = 24 and p = 0.75. The mean is calculated as = np = 24 0.75 = 18, and the standard deviation is calculated as = sqrt(np(1-p)) = sqrt(24 0.75 0.25) = 2.12 (rounded to two decimal places).

b) The range rule of thumb states that results that deviate from the mean by more than two standard deviations are considered significantly low or significantly high. In this case, the values separating significantly low and significantly high results are:

Significantly reduced: - 2 = 18 - 2 2.12 13.76

Significantly greater: + 2 = 18 + 2 2.12 22.24

c) To see if a result of three peas with green pods is significantly low, we must calculate its z-score, which is given by:

z = (x - μ) / σ = (3 - 18) / 2.12 ≈ -7.08

Because the z-score is much lower than -2, the cutoff for significantly low results, we can conclude that a result of 3 peas with green pods is significantly low.

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Using angle relationships, the missing measures are:

m<3 = 138 degrees.

m<5 = 42 degrees.

m<8 = 138 degrees.

Using angle relationships, each of the measure of the angles can be calculated as follows:

Given that, m<1 = 138 degrees.

m<3 = m<1 [vertical angles are congruent]

Substitute:

m<3 = 138 degrees.

m<5 + m<3 = 180

Substitute:

m<5 + 138 = 180

m<5 = 180 - 138

m<5 = 42 degrees.

m<8 = m<3 [alternate interior angles are congruent]

m<8 = 138 degrees.

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Answer:

x=-13

Step-by-step explanation:

Since the two angles given are equivalent, you set up the equation as 7x+205=114.

7x+205=114

7x=114-205

7x=-91

7x/7=-91/7

x=-13

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Answer:

maybe your friend gets stuck because youre not supposed to divide the denominator, only make a common one by multiplying one or both untill they are the same. Least common multiples

The equation of the line with slope 3 that goes through the point (2, 5) is y = 3x - 1.

What is the slope-point form of the line?

The point-slope form of the equation of a line is given by:

y - y1 = m(x - x1)

where m is the slope of the line, and (x1, y1) is a point on the line.

Using the given slope of 3 and the point (2, 5), we can substitute into the point-slope form to get:

y - 5 = 3(x - 2)

Expanding the right-hand side:

y - 5 = 3x - 6

Adding 5 to both sides:

y = 3x - 1

Hence, the equation of the line with slope 3 that goes through the point (2, 5) is y = 3x - 1.

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To fill a 6-inch thick layer of topsoil for a new 28 feet by 17 feet garden, you will need 79.33 cubic yards.

The volume is the product of the multiplication of the thickness, length, and width.

The thickness of the topsoil = 6 inches

12 Inches = 1 Feet

6 inches = 0.5 Feet (6/12)

The length of the garden = 28 feet

The width of the garden = 17 feet

The thickness of the soil = 0.5 feet

Volume of the topsoil = 28 x 17 x 0.5

= 238 ft³

3 Feet to 1 Yard

238 ft³ = 238/3 yards

= 79.33 cubic yards

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Answer:

(2,4)

Step-by-step explanation:

The probability that the person is under 18 or employed part-time is 179/864.

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where,[tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.

Given that;

The table of age, full time, part time, unemployed

Now,

Total number of people who are between the age group 35-49

= 581+179+104

= 864

Number of people who are employed part time= 179

Number of people employed part time in age group 35-49/ Total people in age group 35-49

= 179/864

Therefore, the probability will be 179/864.

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Answer: The correct system of linear inequalities that represents Leslie's situation is:

4x + 10y ≥ 120 (to represent the requirement to raise at least $120)

x + y ≥ 18 (to represent the requirement to sell at least 18 items in total)

x ≥ 0, y ≥ 0 (to represent that Leslie must sell a non-negative number of keychains and t-shirts)

Where x represents the number of keychains sold and y represents the number of t-shirts sold. The first inequality represents the minimum amount of money Leslie needs to raise, and the second inequality represents the minimum number of items she needs to sell. The last two inequalities represent that Leslie can only sell a non-negative number of items.

Step-by-step explanation:

Answer: To calculate the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.

20Y1:

Preferred Stock: $30,000 / 15,000 shares = $2.00 per share

Common Stock: $6,000 / 50,000 shares = $0.12 per share

20Y2:

Preferred Stock: $30,000 / 15,000 shares = $2.00 per share (cumulative preferred stock means that if the company misses a dividend, they still have to pay it in the future, so the dividends per share remain the same)

Common Stock: $45,000 / 50,000 shares = $0.90 per share

20Y3:

Preferred Stock: $30,000 / 15,000 shares = $2.00 per share

Common Stock: $0 (there is no information about dividends for the common stock in 20Y3)

So, the dividends per share for each year would be:

20Y1:

Preferred Stock: $2.00 per share

Common Stock: $0.12 per share

20Y2:

Preferred Stock: $2.00 per share

Common Stock: $0.90 per share

20Y3:

Preferred Stock: $2.00 per share

Common Stock: $0.00 per share

Step-by-step explanation:

The time take to fill the pool will be 494 hours.

Inlet pipe fills in  38 hours = 1 pool

Inlet pipe fills in 1 hours = 1/38

Drain pipe empty in 39 hours = 1 pool

Drain pipe empty in 1 hour = 1/39

If both pipes are opened together then in pool fills in 1 hour =  1/38 - 1/39

= 1/1482

Therefore, 1/1482 fills in 1 hour.

. Therefore, 1/3 will be:

= 1/3 × 1482

= 494 hours.

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