What are the leading coefficient and degree of the polynomial 9-10x^2-2x-15x^4

Answer:

It is 1/3.

Step-by-step explanation:

The y values are 1/3 of the x values  so the relation  is

y = 1/3 x

Constant of proportionality = 1/3

The constant of proportionality for the given relationship y = 1/3x is (1/3).

Proportionality are of two types one is direct proportion and another is inverse proportion. If two or more two quantities are in proportion they increase or decrease at a constant rate called the constant of proportionality.

We know two quantities are proportional if they increase or decrease by a certain constant rate.

Given when x = 3, y = 1  and when x = 9, y = 3.

∴ We can conclude that x = 3y or y = 1/3x.

So, the constant of proportionality is 1/3.

learn more about proportionality here :

https://brainly.com/question/8598338

#SPJ2

Answer:

The correct explaination is Point G can be the centroid because 12:6 equals 2:1

Step-by-step explanation:

Given in  triangle ABC, the segments drawn from vertices intersect at point G.

Segment FG measures 6 cm and and segment FC measures 18 cm.

FG = 6 cm & FC = 18 cm

and also FC = FG + GC

               18 = 6 + GC   ⇒ GC = 12

Note: The centroid divides each median in a ratio of 2:1

& 12:6 give rise to 2:1

Hence, the correct explaination for this is Point G can be the centroid because 12:6 equals 2:1

Answer:

C

Step-by-step explanation:

Answer the correct choice is d 617.5

Answer:

DF=3.0cm, EF=3cm

Step-by-step explanation:

Given: ΔABC is similar to ΔDEF,

Therefore: [tex]\frac{AB}{DE} =\frac{AC}{DF}[/tex]

            ⇒[tex]\frac{2}{1.5}= \frac{4}{DF}[/tex]

            ⇒ DF=3.0cm

Now, by the similarity of triangles, we have Ef=3cm.

Answer:

Step-by-step explanation:

We know that

[tex]\triangle ABC \sim \triangle DE\ F[/tex]

[tex]AB=2cm\\BC=3cm\\CA=4cm\\DE=1.5cm[/tex]

Remember that a similarity between two triangles represent a proportional relation between corresponding side. In this case, such proportions are

[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]

So, we have to find sides DF and EF. Using given values, we have

[tex]\frac{AB}{DE}=\frac{BC}{EF}\\ \frac{2}{1.5}=\frac{3}{EF}\\ EF=\frac{3(1.5)}{2}=2.25[/tex]

Then,

[tex]\frac{AB}{DE}=\frac{AC}{DF}\\\frac{2}{1.5}=\frac{4}{DF}\\ \\DF=\frac{4(1.5)}{2}=3[/tex]

Therefore, the sides of △DEF are DE = 1.5cm, DF = 3cm, and EF= 2.25 cm.

Answer: C

Step-by-step explanation:

Degree of 5 means there are 5 roots.

If 3 roots are real, then there are 2 remaining - which must be imaginary.

Answer:

The answer is C.

Step-by-step explanation:

Recall that as consequence of the Fundamental Theorem of Algebra, a polynomial of n-th degree has n complex roots (some roots, or all of them, can be real).

Now, as we have a polynomial of degree 5, it has 5 roots. From the statement we know that its graph has three intercepts with the X-axis, which is equivalent to the existence, at least, of three real roots. Moreover, we know that the multiplicity of each root is one. Then, we have exactly three real roots.

The above deduction means that there are other two roots, and those must be complex.

Answer:

3400 grams.

Step-by-step explanation:

We have been that Noah made 12 kg of trail mix for his family's hiking trip. His family ate 8600 g of the trail mix on the hiking trip.

Let us convert 12 kg into grams.

1 kg= 1000 grams  

12 kg = 12*1000 grams =12000 grams.

Let u subtract 8600 from 12000 grams to find the amount of trail mix left.

[tex]\text{The amount of trail mix left}=12000-8600[/tex]

[tex]\text{The amount of trail mix left}=3400[/tex]

Therefore, Noah had 3400 grams left of trail mix.

Answer:

1. Neither pair is a solution

Step-by-step explanation:

3*3=9   -18*4=-32   9(-)-32=41 not eleven

4*3=12   4*4=16   12-16=-4 not eleven

Final answer:

The math club must sell at least 42 pies to meet their fundraising goal of $500, as they're selling each pie for $12.

Explanation:

To determine how many pies the math club needs to sell to raise at least $500, we can define a variable and create an inequality. Let's define the variable x to represent the number of pies sold. Since each pie is sold for $12, the inequality will be:

12x ≥ 500.

To solve for x, we divide both sides of the inequality by 12:

x ≥ 500 / 12,

x ≥ 41.67.

Since the math club cannot sell a fraction of a pie, they must sell at least 42 pies to meet their fundraising goal of at least $500.

Answer:

Option C is correct.

Best financial approach: pay off debts, save for an emergency, save for retirement.

Step-by-step explanation:

It is better to pay off the debts and then the rest of the money must be kept safe for the emergency because it is not necessary that you will have an emergency condition, it can take place or cannot take place. Then, when these two criteria are full filled then the rest of the money should be kept for the retirement.

Therefore, for the best financial approach :

[tex]\text{pay off debt} \rightarrow \text{save for an emergency} \rightarrow \text{save for retirement}[/tex]

Cost of 12 basketball is $7.2

Given that;

Price of 15 basketball = $9

Find:

Cost of 12 basketball = 12

Computation:

Cost of 12 basketball = 12[9 / 15]

Cost of 12 basketball = 4[9 / 5]

Cost of 12 basketball = 36 / 5

Cost of 12 basketball = $7.2

Learn more:

https://brainly.com/question/19515757?referrer=searchResults

Answer:

8 minutes.

Step-by-step explanation:

We have been given that the guards change over between 10:16 pm and 10:25 pm which means the hallway is clear during that time.

We can see that the very first minute to cross the hallway without being noticed will be after 10:16 pm as guards start change over at 10:16 pm.

The very last minute to cross the hallway without being noticed will be before 10:25 pm as guards end change over at 10:25 pm.

So let us count number of minutes between 10:16 pm to 10:25 pm without including 10:16 pm and 10:25 pm.

So these minutes will be: 10:17 pm, 10:18 pm, 10:19 pm, 10:20 pm, 10:21 pm, 10:22 pm, 10:23 pm, 10:24 pm.  

Since given time interval includes 8 minutes, therefore, we have only 8 minutes to cross the yard without being noticed.

The person have only [tex]\boxed{{\mathbf{8 minutes}}}[/tex] to cross the yard without being noticed.

Further explanation:

It is given that the guards change over between [tex]10:16{\text{ pm}}[/tex] and [tex]10:25{\text{ pm}}[/tex] that means hallway is clear on that time.

The person can cross the halfway in the absence of the guard when the guards change over.

The person can cross the hallway after [tex]10:16{\text{ pm}}[/tex] without being noticed therefore, it is the very first minute to cross the hallway.

The person can cross the hallway before [tex]10:25{\text{ pm}}[/tex] without being noticed therefore, it is the very last minute to cross the hallway.

Now count the timings in which the person can cross hallway without being noticed.

[tex]\begin{aligned}10:17{\text{ pm,}}10:18{\text{ pm}},10:19{\text{ pm}},10:20{\text{ pm,}} \hfill \\10:21{\text{ pm, }}10:22{\text{ pm,}}10:23{\text{ pm, }}10:24{\text{ pm}} \hfill\\{\text{ }}\hfill\\\end{aligned}[/tex]  

Therefore, it can seen from the above timings that the time interval is 8 minutes in which the person can cross hallway as the hallway is clear.

Thus, the person have only [tex]8{\text{ minutes}}[/tex] to cross the yard without being noticed.

Learn more:  

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Time.

Keywords: Time, minutes, hallway, cross, noticed, without being, person, time interval, clear on the time, seconds, yard, distance, change over, absence.

11n is most probably the correct one.

Answer:

In #1, the slope of the line is 3

Step-by-step explanation:

To find the slope of any line, you need to use the points in the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (5 - 2)/(0 - -1)

m = 3/1

m = 3

This means the slope is equal to 3.

Probability of rolling a 5: 1/6

Probability of rolling a number greater than 3: 3/6

The probability of rolling a 5 or a number greater than 3 on a six-sided die is calculated by summing the individual probabilities of rolling a 4, 5, or 6, which are each 1/6. Therefore, the total probability is 3/6 or 1/2, equating to a 50% chance.

To solve this, we need to identify the favorable outcomes and divide them by the total number of possible outcomes. A six-sided die has six possible outcomes: {1, 2, 3, 4, 5, 6}. The event of rolling a 5 or a number greater than 3 includes the outcomes {4, 5, 6}. Hence, there are three favorable outcomes for the desired event (rolling a 4, 5, or 6).

The probability of any single outcome is 1/6, as there are six sides to the die. Therefore, the probability of rolling a 5 or a number greater than 3 is calculated by adding the probabilities of rolling each of these numbers:

Adding these probabilities gives us 3/6 or 1/2, making the probability of rolling a 5 or a number greater than 3 being 50%.

Answer:

D

Step-by-step explanation:

using the rule of logarithms

• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

[tex]log_{2}[/tex](x - 4) = 4

⇒ x - 4 = [tex]2^{4}[/tex] = 16 ( add 4 to both sides )

x = 20 → D

Answer:

D) 20

Step-by-step explanation:

Assuming you mean:

Alex has 48 stickers. This is 6 times number of stickers Max has. How many stickers does Max have?

48 divided by 6 gives you 8.

Given equation is:

[tex]T=36x+60[/tex]

Where T is the total cost; $36 is the entry fee per person and $60 is the one time bus parking fee.

As given, the bus holds up to 40 people, so let the total number of people be represented by 'x'

The bus holds up to 40 people so 'x' is either less than 40 or equal to 40.

Or this can be written as : [tex]x\leq 40[/tex]

Hence, the domain will lie between 0 and 40.

So option C : 0≤ x≤ 40 is the answer.

Answer:

c

Step-by-step explanation:

Answer:

37.5

Step-by-step explanation:

The average rate of change is the amount over an interval the outputs change in a ratio to the input change. In a linear function, this is constant and called slope. In all other function, it is called the average rate of change because the rate of change varies over the interval. We use the same formula for the average rate of change as we do slope. First we need both the inout and output values of the function over the interval.

For x=1, [tex]f(1)=5(2^1)=5(2)=10[/tex].

For x=5, [tex]f(1)=5(2^5)=5(32)=160[/tex]

Slope:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We substitute [tex]x_1=1\\y_1=10[/tex] and [tex]x_2=5\\y_2=160[/tex]

[tex]m=\frac{160-10}{5-1}[/tex]

[tex]m=\frac{150}{4}=\frac{75}{2} =37.5[/tex]

Answer:

37.5

Step-by-step explanation:

There are 40 different ways could you choose a car black or blue Hyundai.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that Each dealership carries the same two car companies, and sells eight different models that all come in four colors.

The following steps can be used to determine the different ways could you choose a car:

Now Multiply 5 and 4 that is multiply five exterior color choices and six interior color choices.

5 x 4

Now Multiply the above expression with 2 that is with two model choices.

20 x 2

Further simplify the above expression.

= 40

There are 40 different ways could you choose a car.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

To determine the number of different Hyundais available in black or blue, you multiply the number of dealerships (6) by the number of Hyundai models (8) and the number of relevant colors (2), resulting in 96 different cars.

The question asks how many different cars you can buy if you want a black or blue Hyundai, given certain constraints. There are six dealerships, two car companies, eight models, and four colors available. To answer this, we calculate the total combinations possible with the given choices: dealerships (6), car companies (2), models (8), and colors (4). Since we are only interested in Hyundai cars in black or blue, we eliminate other colors and car companies from the choice set. The calculation is as follows:

Number of dealerships: 6
Car companies: 1 (only Hyundai)
Car models: 8
Car colors: 2 (black or blue)

To find the total number of possible combinations, we multiply the number of each category's choices together:

6 (dealerships)
* 1 (Hyundai)
* 8 (models)
* 2 (colors)
= 96 different cars

Answer:

m = -2/5

Step-by-step explanation:

The first thing we need to do is find the slope of line B.

m = (y2 - y1) / (x2 - x1)

m = (5 - (-5)) / (3 - (-1))

m = 10 / 4

m = 2 1/2 or 5/2

The slope of a line perpendicular to line B will be the negative reciprocal of 5/2. Just flip the numerator and the denominator and add a minus sign:

5/2 → -2/5

Answer:

No, the number of sit-ups Anna does, are not proportional to the time she spends doing them.

Step-by-step explanation:

When Anna starts, she does a sit-up every 22 seconds. But, as she gets tired, each sit-up takes longer and longer to do.

So, no, the number of sit-ups Anna does, are not proportional to the time she spends doing them. his is because for being proportional, the decreasing or increasing rate should be constant but here, it is not.

Answer:she spends 22 seconds

Answer:

Step-by-step explanation:

Another very interesting problem

If the candles were all of a different color, then the first candle (randomly chosen) would be 7. The second candle would be any one of 6. Third would be any one of the remaining 5, then 4 then 3 then 2 then 1

The abbreviated way of writing that is 7! which means that the number of different ways would be

7*6*5*4 *3*2*1

However this problem is not that simple The complexity comes from the fact that there are colors that are duplicated.

That event is handled by dividing 7! /by 3! and another 3!

The result is 140

3! = 3*2*1 = 6

So you would take 7! and divide by 6*6

5040/36 = 140

This problem is much more difficult than any of the others.

There are 9 different ways the seven candles can be arranged in the kinara.

The given problem is asking for the number of different ways that the seven candles can be arranged in the kinara for the celebration of Kwanzaa. Since there are seven candles, we can solve this problem by finding the number of permutations of seven objects. The formula for permutations is nPr = n! / (n - r)!, where n is the total number of objects and r is the number of objects we are arranging.

To find the total number of arrangements, we multiply the number of ways to arrange each set of candles together. Therefore, the total number of different ways the seven candles can be arranged in the kinara is 3 * 3 * 1 = 9.

https://brainly.com/question/23283166

#SPJ11

D. Heptagon

A decagon has 10 sides

an octogon has 8 sides

a pentagon has 5 sides

a heptagon has 7 sides which in turn leaves you with your answer

plz mark brainliest hope this helps and have a nice day:)

Answer:

heptagon

Step-by-step explanation:

Decagon has 10 sides

Octagon has 8 sides

Pentagon has 5 sides

Heptagon has 7 sides

Answer: 34

Step-by-step explanation:

Divide the number of ornaments by the number of sections in the plastic containers.

204/6= 34

Terrance will need 34 plastic containers to store all 204 of his ornaments, with each container holding 6 ornaments.

Terrance has 204 ornaments to put away, and each container has 6 sections; with each section holding one ornament. To find out how many containers Terrance will need, divide the total number of ornaments by the number of ornaments that fit into one container. This is a simple division problem: 204 ornaments divided by 6 sections per container equals 34.

Therefore, Terrance will need 34 plastic containers to store all his holiday ornaments.

Answer:

Cheapest = $6

Most expensive = $11

Step-by-step explanation:

First we need to make an equation:

4u + 2h = 40 < x < 60

u is umbrellas and h is hats,

If a hat is 8, then this can be:

4u + 2(8) = 40 < x < 60

4u + 16 = 40 < x < 60

4u = 40 - 16

4u = 24

u = 6

So the cheapest an umbrella can be is $6.

The most expensive is:

4u = 60 - 16

4u = 44

u = 11

So the most expensive is $11

Answers: (a→b), (b→a), (c→c)

Explanation:

Column A:

a) [tex]y = -3x + \dfrac{1}{3}[/tex]

  m = -3  ⇒  m⊥ = [tex]\dfrac{1}{3}[/tex]

b) 6x - 2y = 4

         -2y = -6x + 4

            y =  3x - 2

  m = 3  ⇒  m⊥ = [tex]-\dfrac{1}{3}[/tex]

c) y - 3 = [tex]\dfrac{1}{3}[/tex](x - 3)

  m = [tex]\dfrac{1}{3}[/tex] ⇒  m⊥ = -3

Column B

a) y - 3 = [tex]-\dfrac{1}{3}[/tex](x - 3)

  m = [tex]-\dfrac{1}{3}[/tex]

b) y = [tex]\dfrac{1}{3}x + 6[/tex]

   m = [tex]\dfrac{1}{3}[/tex]

c) 3x + y = 3

           y  = -3x + 3

  m = -3

******************************************************************************

Column A letter a matches to Column B letter b

Column A letter b matches to Column B letter a

Column A letter c matches to Column B letter c

Final answer:

Felicia took out 1 quarter from her change. The difference in amount between before and after removing the quarters, which is $0.25, indicates that only one quarter was removed as each quarter is worth $0.25.

Explanation:

To determine how many quarters Felicia took out of her total change, we need to calculate the difference between the amount she had initially and the amount she had after removing the quarters.

Initially, Felicia had $4.17. After she removes the quarters, she is left with $4.42. The difference between these two amounts will tell us the total value of the quarters removed.

Subtract the smaller amount from the larger amount: $4.42 - $4.17 = $0.25.

Since each quarter is worth $0.25, we divide the total value of the quarters taken out by the value of one quarter to find the number of quarters.

$0.25 ÷ $0.25 per quarter = 1 quarter.

Therefore, Felicia took out 1 quarter.