Identify the factors of x2 − 5x − 24. (1 point) (x + 8)(x − 3) (x − 8)(x + 3) (x + 4)(x − 6) (x − 4)(x + 6)

The sum of the interior angles of a polygon is given by the formula:

Sum = (n - 2)180

where n is the number of sides of the polygon

Since the polygon is a three-sided polygon, n = 3

Sum = (3 - 2)180

Sum = 1 x 180

Sum = 180

Answer:

x=38

Step-by-step explanation:

The are supplementary. This is because the 2 lines are parallel and the corresponding angle to 2x-15 is supplementary. And because corresponding angles are congruent 2x-15 and 3x+5 are supplementary.

2x-15+3x+5=180

5x-10=180

5x=190

x=38

A pyramid has an isosceles triangle base with sides of 25,25 and 48 units.

This tells us that our base's height is equal to two-thirds of its side because it is a square base.

Therefore, a pyramid has an isosceles triangle base with sides of 25,25, and 48 units.

To learn more about volume refer to:

brainly.com/question/463363

#SPJ13

A formula that can be used to find the area of one triangular section of the door is; (1/2) * Area 0f rectangle

From the attachment, we can say let us;

Denote the Length as L

The width as w.

Area of a triangle is given by the formula;

A = 1/2 * base * height

The area of the rectangle is:

A = Length * Width

From the attachment, we can see that the rectangle is divided into two equal triangular sections.

This implies that, the area of one of the triangular sections is half the area of the rectangle. Thus;

Area of Triangle = (1/2) * Area 0f rectangle

Read more about Area of the triangle at; https://brainly.com/question/17335144

#SPJ1

Answer: -3h

Step-by-step explanation:

( 5h + 3 - 8h ) + ( -2h x 3 - h x 3 - 2h )

( 15h - 8h ) + ( -6h - 2h - 2h )

15h - 8h - 6h - 2h - 2h

-3h

Firstly multiplication operation will be performed and the value on simplification will be -7.

The expression will be solved based on the sequence in order of operations. In the mentioned expression, parenthesis and exponents are not there. Thus, firstly we will multiply the values followed by division. Then we will perform addition and subtraction (PEMDAS).

Performing multiplication first -

Value = 27 ÷ 27 - 8

Performing division at second step -

Value = 1 - 8

We are left with subtraction, so performing it -

Value = -7

Therefore, firstly multiplication will be performed and the value is -7.

Learn more about PEMDAS -

https://brainly.com/question/345677

#SPJ9

The simple interest of the $2,560 earned in 17 months at a rate of 1*1/8 will be; $185.90

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of the principal amount, rate, and period.

The formula for simple interest is:

Simple Interest = (Principal × Rate × Time) / 100

Where I am interested

P ⇒ amount deposited.

R ⇒ interest rate

T ⇒ period for investing

Given that the time is 17 months = 17/12 years

1 and 1/8 = 1.125

I = 2,560 ×17/12 × 1.125/100

    = 2560 × 17/12 × 0.01125

     = $185.86667

The simple interest of the $2,560 earned in 17 months at a rate of 1*1/8 will be; $185.90

Learn more about simple interest here;

https://brainly.com/question/1548909

#SPJ1

2 5/8 as an equivalent percent is 262.50%.

Percentage is the rate of a number expressed as fraction out of 100. Percentage is a measure of frequency. The sign that represents percentage is %. In order to change a number to a percentage, multiply the number by 100.

A mixed number is a non-integer that is made up of a whole number and a proper fraction. A proper fraction is a fraction where the numerator is less than the denominator.  An example of a mixed number is 2 5/8

In order to convert the mixed number to percentage, multiply it by 100:

2 5/8 x 100

21/8 x 100 = 262.50%

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

no it is not 67 becuase if you subtract -67-67 it will equal -134

it is -67 bc -67- -67=0

Answer:

0≤x≤|R

Step-by-step explanation:

I'm not really sure but I think the domain is all positive real numbers including zero

The range of the function shown on the graph above is: -10 ≤ y ≤ 3.

A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values (real numbers), which are shown on the y-axis of a graph.

The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown, the range of this graph in interval notation can be rewritten as follows:

Range = [-10, 3]

Range = -10 ≤ y ≤ 3.

Read more on range here: https://brainly.com/question/12077664

#SPJ1

The total length of the wall that the individuals have to paint is 69 3/13 m.

The first step is to add the fractions of the wall painted by the three people together. Addition is the mathematical operation that is used to determine the sum of two or more numbers.

Sum of the fractions:

[tex]\frac{1}{4} + \frac{1}{3} + \frac{1}{5}[/tex]

[tex]\frac{15 + 20 + 12}{60}[/tex] = [tex]\frac{47}{60}[/tex]

The fraction of the wall that has not been painted = 1 - [tex]\frac{47}{60}[/tex] = [tex]\frac{13}{60}[/tex]

13/60 of the wall = 15m

13/60 x w = 15

w = 15 ÷ 13/60

w = 15 x 60 /13 = 69 3/13 m

To learn more about fractions, please check: https://brainly.com/question/25779356

#SPJ1

Using ratios, the sentences are completes as follows:

The ratio between two amounts a and b is given by the division of a by b, as follows:

r = a/b.

Between two amounts b and a, the ratio is given by the division of b by a, as follows:

r = b/a.

This means that the ratio between two amounts is not commutative, meaning that the order of the amounts matters.

A ladybug with 2 eyes and 6 spots, hence the first sentence is given as follows:

There are 6 spots for every 2 eyes. (ratio is the number of eyes for 6 spots).

The number of spots per eye is the ratio of the number of spots and the number of eyes, as follows:

Spots per eye = 6 spots/2 eyes = 3 spots per 1 eye.

More can be learned about ratios at https://brainly.com/question/2328454

#SPJ1

the tuition at a certain college was $29,694 last year

Intial Tution fees of college = $29,694

increased 5.6% from last year to the current year

i.e. Increased fees amonut = 5.6% of intial fees

So, tution of college at present year is : Intial Tution fees of college+ 5.6% of intial fees

So, This year tution fees is $31356.864

In the nearest dollars it will be: $31357

The probability P(5 ≤ x ≤ 9) is 0.6847

Assume that x has a normal distribution

We have been the mean and standard deviation μ = 6; σ = 2.

To calculate this probability we use the standardized normal distribution and the z-value for 5 and 9.

z = (5 - 6)/2

  = -0.5

and z = (9 - 6)/2

         = 1.5

Then the probability is calculated as:

P(x ≤ 5) = 0.3085

P(x ≤ 9) = 0.9932

P(5 ≤ x ≤ 9) = 0.9932 - 0.3085

P(5 ≤ x ≤ 9) = 0.6847

Therefore, the probability P(5 ≤ x ≤ 9) is 0.6847

Learn more probability here:

brainly.com/question/24756209

#SPJ1

The zero of the function is 25.6 and it means that the total number of days is 25.6

From the question, the equation of the function is given as

c = 6.4 - 0.25p

The zero of this function is when the function equals 0

This is represented as

c = 0

Substitute c = 0 in c = 6.4 - 0.25p

So, we have

6.4 - 0.25p = 0

The above equation becomes

0.25p = 6.4

Divide both sides by 0.25

p = 25.6

So, the zero is 25.6 and it represents that the total number of days

Read more about linear functions at

https://brainly.com/question/4025726

#SPJ1

Answer:

Yes

Step-by-step explanation:

This is the correct answer good job!

Answer:

177

Step-by-step explanation:

Answer: a_10 = 177147/65536. Write the general term through the pattern:: a_n = 36 3/4 n - 1 Substitute and calculate:: a_10 = 177.

Yahtzee is a game of chance like dice or poker. The numbers of ways the outcomes ( straight rolling ) is 240 .

Probability of hitting a large straight is 240 / 7776 = 1/32

Yahtzee is the one of dice game that uses five standard six-sided dice. After rolling each die, the player can decide which die to keep and which to reroll. Goals include many different types of combinations, many of which originate from poker.

The two types of combinations that players must roll are called roads: small roads and large roads. Similar to poker straights, these combinations consist of consecutive dice. A small straight uses 4 out of the 5 dice and a large straight uses all 5 dice. Since the dice rolls are random, we can use probability to analyze the likelihood of hitting large straight on a single roll. Assumes that the dice used are fair and independent of each other. Now, you need to know how many ways you can roll a big/ large straight. Here it is more difficult than calculating the sample size. Big straights are harder to roll than small straights, but it’s easier to count the number of times you’ve rolled a big straight than the number of times you’ve rolled a small straight.

Next, determine the number of ways to get a straight by rolling the given dice. To get a nice straight with dice {1, 2, 3, 4, 5}, you can arrange the dice in any order. It turns out that you just swap the five dice. There are 5! = 120 ways to do this. There are two dice combinations that form the large Straight, each with 120 ways to roll, so there are 2 x 120 = 240 ways to roll the large Straight.

Now the probability of hitting a big/ large straight can be calculated with simple division. Since there are 240 ways to get the big straight in one roll, and 7776 rolls 5 dice, the odds of getting the big straight are 240/7776, close to 1/32, and lie 3.1%.

To learn more about Yahtzee Game,refer:

https://brainly.com/question/1553641

#SPJ4

Frank's gross capital gain was $2,100.

What is gross capital gain?

the discrepancy between the overall cost base of your asset and your capital gains. Your share of the capital gain - If more than one person owns this asset, your share of the gain is equal to the percentage of the asset that you personally hold.

You want the gross capital gain resulting from selling a stock purchased for $6,150 and sold for $8,250.

Capital Gain

The capital gain resulting from the sale is the difference between the selling price and the purchase price:

 gain = selling price - purchase price

 gain = $8,250 -6,150

 gain = $2,100

Frank's gross capital gain was $2,100.

Learn more about capital gain from the given link

https://brainly.com/question/1259480

#SPJ9

Let x represents the number of months it will take Kelsey to have more money than Kyle.

Given that Kelsey starts with $150 in her account and she adds $25 a month, it means that the amount that he would have saved after x months is

150 + 25 *x

= 150 + 25x

Given that Kyle starts with $200 in his account and adds $20 a month to his account, it means that the amount that he would have saved after x months is

200 + 20 *x

= 200 + 20x

For Kelsey to have more money than Kyle, the inequality would be

150 + 25x > 200 + 20x

25x - 20x > 200 - 150

5x > 50

The graph of the inequality y < 1 - 3x is in the attachment below.

Given the inequality, y < 1 - 3x, we need to determine if the line of the inequality graph will be dashed or solid, the slope (m) of the line, and the y-intercept (b).

The slope (m) of the inequality y < 1 - 3x is -3. This means the line would be a declining line where the rise/run = -3.

The y-intercept (b) of the inequality y < 1 - 3x is 1. This means the line would intercept the y-axis at y = 1.

The boundary line of the inequality graph for y < 1 - 3x would be a dashed line because of the inequality sign "<". It also means the shaded part would be below the boundary line, because, the inequality sign, "<" means the the values are not included.

The graph that will represent the inequality given is the image attached below.

Learn more about the inequality graph on:

https://brainly.com/question/11234618

#SPJ1

The intersection of the A, B and C sets is { 10}

Answer:

ASA

Step-by-step explanation:

Answer:

ASA

Step-by-step explanation:

Answer: 1.25

Step-by-step explanation: Divide 1,200 in 7 days and the aswer is 1.25

a)The percentage of bottles expected to have a volume more than 32 oz is 33.60%

b) 85% of 0.3360 is 0.2856

a) The volumes of soda in quart soda bottles can be represented by a Nomal model with a= 32.3 oz

b=8.8 oz

Let S be the volume of randomly selected soda bottles

Y-score: S-a/b

For S=32 oz

Substitute the values of S,a and b into the equation

Y=32-32.3/8.8

Y= - 0.0341

Probability of bottles that have a volume more than 32 oz is

P(S>32)=P(Y>-0.0341)= 0.3360

Percentage of bottles that have volume more than 32 oz will be

0.3360×100%=33.60%

b) 85% of 0.3360 is 0.2856

learn more about of percentage here

https://brainly.com/question/14509314

#SPJ4

We know that

• The height is 5 meters.

• The cable is 7 meters long.

Using the given information, we can represent the situation with a diagram.

In the diagram above you can observe that the x is a leg of the right triangle. So, we have to use Pythagorean's Theorem to find x.

Then, we solve for x.

The student council’s expected profit as per given budget is equal to $25.

As given in the question,

Budget decided by the student council at Baker High School while planning a dance.

Total expenses on the items used for the dance

DJ fuze. : $250

Decorations.  : $125

Total expenses done by student council for dance

= $( 250 +125)

=$375

Total funds raised by dance performance is equal to

Dance tickets. $400

Total revenue =$400

Revenue >Expenses

Student council’s expected profit= $(400 -375)

                                                        = $25

Therefore, the student council’s expected profit as per given budget is equal to $25.

The complete question is:

The student council at Baker High School is planning a dance. The table shows their budget. What is the student council’s expected profit?

Funds raised:

Dance tickets : $400

Expenses:

DJ fuze. : $250

Decoration : $125

Learn more about expected profit here

brainly.com/question/25697235

#SPJ1

Answer:

the answer is A. (3,6)

Step-by-step explanation:

5x - 2y = 3

5x - 2(2x) = 3

5x - 4x = 3

x = 3

y = 2x

y = 2(3)

y = 6

An example of a rational function is y = (3x²+7x+4)/(x²+3x+2) which has a horizontal asymptote at y = 3.

To give it a horizontal asymptote of y = 3, we require the degrees in the numerator and denominator to be and the lead coefficient ratio to be 1.

Yet, in producing the hole, we need to have the rest of the function, disregarding the (x + 1)'s, = 1 when x = -1 to ensure the y-value of the hole is at + 1. When we add all of this together, we get.

y = (3(x+1)(x+k))/((x+1)(x+2)) and the last condition requires k = + 4/3, so

By distributing the 3 in the numerator to the 2nd linear component, we get.

y = (3(x+1)(x+4/3))/((x+1)(x+2))

y = ((x+1)(3x+4))/((x+1)(x+2))

y = (3x²+7x+4)/(x²+3x+2)

Thus, the example of a rational function is y = (3x²+7x+4)/(x²+3x+2) which has a horizontal asymptote at y = 3.

Learn more about the functions here:

brainly.com/question/12431044

#SPJ1