Which of the following represents the equation of the trigonometry function graphed below?

The zeroes of the equation x² + 3x - 40 is -8 or 5.

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 .

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.

Given:

F(x) = x² + 3x - 40

Now, solving the quadratic Equation

x² + 3x - 40 = 0

x² + 8x - 5x - 40 = 0

x(x + 8) - 5(x + 8)=0

(x+8) (x-5)= 0

So, x+8 = 0 or x-5=0

x=-8 or x= 5

Hence, the zeroes are -8 and 5.

Learn more about Quadratic Equation here:

https://brainly.com/question/30098550

#SPJ1

Answer:

Starting unpaid balance = $5942.00

On April 1st: Starting unpaid balance = $5942.00

On April 10th: $124.00 purchase is made, so the new balance becomes $5942.00 + $124.00 = $6066.00

On April 22nd: $1000.00 payment is made, so the new balance becomes $6066.00 - $1000.00 = $5066.00

On April 28th: $628.00 purchase is made, so the new balance becomes $5066.00 + $628.00 = $5694.00

Therefore, the ending balance on Jerry's credit card statement at the end of April is $5694.00.

Step-by-step explanation:

Answer:

x x x and 1 1 1

Step-by-step explanation:

3rd option is the correct answer.

Answer:

1/9 = 0.1111111

Step-by-step explanation:

I think (i said think) the answer is E

The clothes dryer uses the maximum energy at 1.018 × 10⁶ kilowatt-hour

Kilowatt-hours are primarily used to sell electrical energy to customers. A device's power consumption in kilowatts, operating time in hours, and price per kilowatt-hour are multiplied to get the cost of running it. Utility companies' charges for power may vary based on the customer's consumption patterns over time. Prices vary widely depending on the location. Prices in the US can differ by a factor of three between states.

A composite energy unit called a kilowatt-hour is defined as one kW sustained for (and multiplied by) one hour. It is equivalent to 3600 kilojoules, or 3.6 MJ, when expressed in the joule (symbol J), the SI's base unit of energy.

So from the given conditions the television uses the least amount of energy per day at 300 kilowatt-hour.

The amount of energy per year:

Television  = 300 × 365 = 1.095 × 10⁵ kilowatt-hour

Dryer = 2790 × 365 = 1.018 × 10⁶ kilowatt-hour

Refrigerator = 225 × 365 = 8.213 × 10⁴ kilowatt-hour

Hence the maximum energy is used by the Dryer.

To learn more about kilowatt-hour visit:

https://brainly.com/question/15270559

#SPJ1

If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

The given function is:

f(x) = 1/2 (3 - x)²

To find the value of f(15), we need to substitute 15 for x in the function:

f(15) = 1/2 (3 - 15)²

Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:

f(15) = 1/2 (144)

f(15) = 72

Therefore, the value of f(15) is 72.

To learn more about functions from the given link:

https://brainly.com/question/12431044

#SPJ1

Answer:

The sample size required is 2188.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

\(CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The margin of error for this interval is:

\(MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The information provided is:

X = 162

n = 462

MOE = 0.02

Assume the confidence level as 95%.

Compute the sample proportion as follows:

\(\hat p=\frac{X}{n}=\frac{162}{462}=0.351\)

The z-critical value for 95% confidence interval is:

\(z_{0.025}=1.96\)

Compute the sample size required as follows:

\(MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

      \(n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\)

         \(=[\frac{1.96\times\sqrt{0.351(1-0.351)}}{0.02}]^{2}\\\\=2187.781596\\\\\approx 2188\)

Thus, the sample size required is 2188.

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

The graph(C) of a quartic function which is correct option(B)

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Quartic polynomials are continuous curves like the cubic polynomials.

This means that can draw the graph of the quartic without lifting your pencil from the page.

There are no holes or jumps in the curve but, unlike the cubic graph, a graph of the quartic looks like a U, W or an M.

Thus, the graph(C) of a quartic function

Learn more about graph

https://brainly.com/question/16608196

#SPJ2

Answer:

5 cups of vegetable oil

Step-by-step explanation:

1) The area of the room in square feet, square inches, and square yards is as follows:

Area = 120 ft²

Area = 1,440 in²

Area = 40 yards²

2) The volume of the room in cubic feet, cubic inches, and cubic yards is as follows:

Volume = 1,440 ft³

Voluem = 17,280 in²

Volume = 480 yards²

The conversion rates are:

The mathematical operations of multiplication and division are used.

Let the length = 12 feet

Let the width = 10 feet

Let the height = 12 feet

1 foot = 12 inches

3 feet = 1 yard

Area = 120 ft² (12 x 10)

Area = 1,440 in²  (120 x 12)

Area = 40 yards² (120/3)

Volume = 1,440 ft³ (12 x 10 x 12)

Voluem = 17,280 in²  (1,440 x 12)

Volume = 480 yards² (1,440/3)

Learn more about unit conversion rates at https://brainly.com/question/675275

#SPJ1

Answer:

Please help me important question in image

Please help me important question in image

Please help me important question in image

Step-by-step explanation:

Please help me important question Please help me important question in image

in image

Please help me iPlease help me important question in image

Please help me important question in image

mportant question in image

Please help me important question in image

The temperature dropped an average of 3 Fahrenheit per 1 hour.

The slope = -3/1

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

A similar problem, also featuring proportional relationships, is presented at https://brainly.com/question/7723640

#SPJ1

Answer:

42 Pages

Step-by-step explanation:

7x5=35

7+35=42

Answer:

C

Step-by-step explanation:

Tip a positive number multiplied to a negative number is negative

Answer:

g = 8

Step-by-step explanation:

Hello!

We can solve for g by isolating the variable.

The value of g is 8.

Answer:

\( \sf \: g = 8\)

Step-by-step explanation:

Now we have to,

→ find the required value of g.

The equation is,

→ 2.8(g - 6) + 1.06 = 6.66

Then the value of g will be,

→ 2.8(g - 6) + 1.06 = 6.66

→ 2.8g - 16.8 = 6.66 - 1.06

→ 2.8g - 16.8 = 5.6

→ 2.8g = 5.6 + 16.8

→ g = (22.4)/(2.8)

→ [ g = 8 ]

Hence, the value of g is 8.

The length of PQ is 3√5 and its slope is -2

The length of SR is 3√5 and its slope is -2

The length of SP is 5√2 and its slope is -7

The length of RQ is 5√2 and its slope is -1

So PQ ≅ SR and SP ≅ RQ. By the Perpendicular Bisector theorem, adjacent sides are perpendicular. By the selection of  side, ∠PSR, ∠SRQ, ∠RQP and ∠QPS are right angles. So, the quadrilateral is a rectangle.

To find the lengths and slopes of the sides of the quadrilateral PQRS, we apply the distance formula:

D = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)  

and the slope formula:

m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

1. Length PQ:

Using the distance formula, the length PQ can be calculated as follows:

PQ = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

  = √((3 - 0)² + (-4 - 2)²)

  = √(3² + (-6)²)

  = √(9 + 36)

  = √45

  = 3√5

2. Length SR:

Using the distance formula, the length SR can be calculated as follows:

SR = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

  = √((1 - (-2))² + (-5 - 1)²)

  = √((1 + 2)² + (-6)²)

  = √(3² + 36)

  = √(9 + 36)

  = √45

  = 3√5

3. Length SP:

Using the distance formula, the length SP can be calculated as follows:

SP = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

  = √((1 - 0)² + (-5 - 2)²)

  = √(1² + (-7)²)

  = √(1 + 49)

  = √50

  = 5√2

4. Length RQ:

Using the distance formula, the length RQ can be calculated as follows:

RQ = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

  = √((-2 - 3)² + (1 - (-4))²)

  = √((-2 - 3)² + (1 + 4)²)

  = √((-5)² + 5²)

  = √(25 + 25)

  = √50

  = 5√2

Now, let's calculate the slopes of the sides:

1. Slope PQ:

The slope of PQ can be calculated using the slope formula:

m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

  = (-4 - 2) / (3 - 0)

  = -6 / 3

  = -2

2. Slope SR:

The slope of SR can be calculated using the slope formula:

m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

  = (-5 - 1) / (1 - (-2))

  = -6 / 3

  = -2

3. Slope SP:

The slope of SP can be calculated using the slope formula:

m =\(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

  = (-5 - 2) / (1 - 0)

  = -7 / 1

  = -7

4. Slope RQ:

The slope of RQ can be calculated using the slope formula:

m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

  = (1 - (-4)) / (-2 - 3)

  = 5 / (-5)

  = -1

Therefore, the lengths and slopes of the sides of the quadrilateral PQRS are:

Length PQ: 3√5

Length SR: 3√5

Length SP: 5√2

Length RQ: 5√2

Slope PQ: -2

Slope SR: -2

Slope SP: -7

Slope RQ: -1

Learn more about quadrilateral here:

https://brainly.com/question/23935806

#SPJ1

Answer:

a because centi means 100 so he was wrong from the start and ...how the heck did he count em

Step-by-step explanation:

Answer: Ricky is correct because his conclusion is supported by the premise.

Step-by-step explanation: "a previous statement or proposition from which another is inferred or follows as a conclusion." = PREMISE

HIS PREMISE LED TO AN INFERRED CONLUSION

Triangle LMN is similar to the QPN by the AA theorem because it stated that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar, since sides LM and PQ are parallel the measurement for angle L is equal to angle Q and by vertical angles N is the same on both triangles.

Yes, by AA similarity Triangle LMN is similar to QPN.

Answer:

13 and 1/2

Step-by-step explanation:

1/2 gets 4 1/2

1 1/2 could be tbroken down to

1/2+1/2+1/2  each half gets you 4 1/2

so 4 1/2+4 1/2 +4 1/2 =13 1/2

Answer:

here

Step-by-step explanation:

we can do it by using the formula like

mean; efx÷n

median =n+1÷2

mode =which is more

range=highest-smallest

Answer:

Step-by-stwe can do it by using the formula like

mean; efx÷n

median =n+1÷2

mode =which is more

range=highest-smallestep explanation:

Answer:

99% Confidence interval is given as;

Lower Limit = 0.062

Upper Limit = 0.130

Step-by-step explanation:

Given the data in the question;

x = 48

n = 500

sample proportion p = x/n = 48/500 = 0.096

with 99% confidence

significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01

∝/2 = 0.01 / 2 = 0.005

Critical Z-value = \(Z_{\alpha /2\) = \(Z_{0.005\)  = 2.576

Now,

Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]

we substitute

SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]

SE = √[ (0.096 × 0.904) / 500  ]

SE = √[ 0.086784 / 500 ) ]

SE = 0.0131745

so

Margin of Error E = \(Z_{\alpha /2\) × SE

E = 2.576  × 0.0131745

E = 0.0339

Now 99% confidence interval will be

⇒ 0.096 ± 0.0339

⇒ (0.096 - 0.0339, 0.096 + 0.0339 )

⇒ ( 0.062, 0.130 )

Lower Limit = 0.062

Upper Limit = 0.130

The way the flashback in these paragraphs advance the plot is C. It introduces Evan's motivation for working in the garden with Grandfather.

The technique of flashback in storytelling involves interrupting the chronological order of events to depict an earlier event or scene. It uses time travel to furnish the audience with necessary backstory, context, or a deeper understanding of the characters.

The technique of flashbacks is frequently employed as a means of divulging previous occurrences, recollections, or incidents that hold significance to the present narrative being conveyed.

Hence, it can be seen from the given text that the use of flashback helps show the motivation which Evans had for working in the garden with Grandfather

Read more about flashbacks here:
https://brainly.com/question/26179419

#SPJ1

Answer:

13m²

Step-by-step explanation:

Area=6.5*4÷2=13

Answer:

13m

Step-by-step explanation:

1/2 × bas × perpendicular height

The step that Inga could use to solve the quadratic equation is;

2(x² + 6x + 9) = 18 + 3.

The solution to the quadratic equation is calculated as follows;

2x² + 12x - 3 = 0

Add 3 to both sides to get;

2x² + 12x = 3

Divide through by 2 which is the coefficient of x² to get;

x² + 6x = ³/₂

Square half of the coefficient of x, and then add it both sides of the equation to get;

(x + 3)² = ³/₂ + 3²

x² + 6x + 9 = 9 + ³/₂

2(x² + 6x + 9) = 18 + 3

Read more about quadratic equations at; https://brainly.com/question/3800213

#SPJ1

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves