What is the coefficient of
the term of degree 6 in the
polynomial below?
3x^2 – 14x^6 + 6x^3 + 12x +
5x^5

Given :

Lunar can travel about 289 miles on a tank of gas.If the gas tank can hold 17 gallons of gas.

To Find :

Is the Lunar Victor's best option.

Solution :

Number of miles Lunar travel per gallon is :

[tex]N = \dfrac{289\ miles}{17 \ gallon}\\\\N=17 \ miles/gallon[/tex]

We know, miles travelled per gallon is given by 18 miles/gallon.

Therefore, The Legend is still the best option.

Answer:

I think the answer is y=[tex]\frac{x-2}{3}[/tex]

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

19 is a prime number but 95 is not.

95= 1x95

       5x19

Step-by-step explanation:

19 is a prime number. Factors of 19 up to 100 are 19, 38, 57, 76, 95. ... Thus, there are 95 co-prime numbers to 19 exists between 1 and 100.

Answer:

[tex]m=\frac{2}{3}[/tex]

Step-by-step explanation:

Isolate Y

12=4x-6y       Subtract 4x on both sides.

6y=-4x+12     Divide 6 on both sides.

[tex]y=\frac{4}{6}x+2[/tex]     Simplify the linear equation(y=mx+b)

[tex]y=\frac{2}{3}x+2[/tex]     Find m

m=[tex]\frac{2}{3}[/tex]

Answer:

8.5 ft I believe

Step-by-step explanation:

1 in=3.5 ft, so 5in=5(3.5)= 17.5 ft

17.5-9=8.5 ft

Answer:

after 2 hours, they will have the same fee.

they will have been payed 11$

Step-by-step explanation:

if you say  h = hours of tutoring,

Rakim charges 7 + 2h

Joan charges 3 + 4h

since you want them to be the same, you can write the following equation:

7 + 2h = 3 + 4h

subtract 2h from each side

7 = 3 + 2h

subtract 3 from each side

4 = 2h

divide both sides by 2.

h = 2

after 2 hours, they will have the same fee.

they will have been payed 11$

"they will have been payed" ah yes the grammar.

Answer: B) No, because not all of the pairs represent the same ratio

For each row, divide y over x

Row 1:  y/x = 5/3 = 1.67 approximately

Row 2: y/x = 7.4 = 1.75

Row 3: y/x = 10/6 = 1.67 approximately

Row 4: y/x = 15/9 = 1.67 approximately

We see that row 2 has a ratio different from the others. If we were able to ignore this row, then the answer would be "yes x and y are proportional". However, we cannot ignore this row so that's why the answer is choice B.

We want to see if the relationship between x and y is proportional or not.

We will see that the correct option is B:

"No, because not all of the pairs represent the same ratio."

Let's see how to solve this.

First, a proportional relationship is something of the form:

y = k*x

Where k is the constant of proportionality.

So to see if the relationship between x and y is proportional, we can input the pairs on the general proportional relationship.

For the first pair, we have x = 3 and y = 5, then:

5 = k*3

Now we can find the value of k:

k = 5/3 = 1.667

Now let's do the same for the second pair of points, we should get the same constant of proportionality.

7 = k*4

k = 7/4 = 1.75

So we got different constants of proportionality for two different x-y pairs, thus, the relationship is not proportional.

Because k is defined as the ratio between y and x, we can say that the relationship is not proportional because not all of the pairs represent the same ratio.

Thus the correct option is B.

If you want to learn more, you can read:

https://brainly.com/question/13114933

Answer:

B/D/E

Step-by-step explanation:

Answer:

Part A - Yes; y=5/3w        Part B - No; e=h+2

Step-by-step explanation:

The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.

Cara’s Flower Arrangements            Proportional

White 3 6 9 12 15

Yellow 5 10 15 20 25

Hector’s Flower Arrangements          Not Proportional

White 4 8 12 16 20

Yellow 6 10 14 18 22

Part A

Are the numbers of white and yellow flowers in Cara’s arrangements proportional?

Which equation relates the number of white flowers, w, to the number of yellow flowers, y?

Yes; y=3/5w

Yes; y=5/3w CORRECT ANSWER

No; y=3w+5w

No; y=5+3w

Part B

Are the numbers of white and yellow flowers in Hector’s arrangements proportional?

Which equation relates the number of white flowers, h, to the number of yellow flowers, e?

Yes; e=3/2h

Yes; e=2/3h

No; e=h+2 CORRECT ANSWER

No; e=h−2

They are correct because Part A is 1.666667  thats more than 1 so it cant be the first, and Part B, its the White flowers plus 2 to be Yellow flowers, not -.

Following are the solution to the given question:

                   [tex]\bold{White (w) }\\\\\bold{Yellow (y)}[/tex]

                    [tex]\bold{y = kw } \\\\\bold{5 = 3k}[/tex]

                  [tex]\bold{White (h) }\\\\\bold{Yellow (e)}\\\\[/tex]

               [tex]\to \bold{e = h + 2}[/tex]

Learn more:

brainly.com/question/18297651

Answer:

1. True; 10, 20, 50, 100, 1210 are all divisible by 10.

2. True; prime numbers: 2, 3, 5, 7, 11, 13. Only 2 is even.

3. False; 144 is a perfect square and has 15 factors.

4. False; x = 9 in this equation, so x = 4 is false.

Answer:g(x)=x-2+2

Step-by-step explanation:

Kid

Answer:

762.5

Step-by-step explanation:

25% of 610 is 152.5 and 610 + 152.5 is 762.5

Hope this helped also can i get brainliest?

Answer:

16

Step-by-step explanation:

2(6+3)-2 = 2(9)-2 = 18-2 = 16

Answer:

42°

Step-by-step explanation:

The angle measure of 295° just means we are working with a circle.

A circle totals to 360°.

If we add what we are given; 295 + 23 = 318°

We have the total angle measure we are given and "b" which we need to solve.

We can subtract 360 by what we are given to find angle "b"

360 - 318 = 42°

Best of Luck!

Answer:

a=-2

Step-by-step explanation:

Answer:

The solution is: b=50

Step-by-step explanation:

7b+29=379

7b=350

b=50

If it's wrong I'm sorry I'm just going around answering questions for fun!

Hope this helped even the slightest! Gl!

Please mark brainliest!

Answer:

$4900

Step-by-step explanation:

It is given that,

According to health insurance policy, hospital expenses are subject to a $750 deductible and $150 per day copay.

If a person hospitalized for 4 days, it would mean that charges will be ($150 × 4 = $600 per day).

Total amount given by insurance policy = $750 + $600 = $1350

The bill for 4 days come out to be $6,250.

The person have to pay ($6,250-$1350) = $4900 itself.

Answer:

2 pounds = 0.9072 kilograms

Step-by-step explanation:

Answer:

it is b

Step-by-step explanation:

Answer:

Its 3 3/4 or D

Step-by-step explanation:

Just in case you didn’t understand answer above

Answer:

It moves the x value 5 units to the left.

Step-by-step explanation:

"x - 5" means that we are subtracting 5 to whatever x value we are given. The "y" value doesn't change.

Since we are subtracting to the x value, we are going to move left 5 units.

Let's say we had the point (5, 5).

If we use the translation rule;

(5 - 5, 5)

(0, 5)

We moved the x value 5 units to the left.

Best of Luck!

Answer:

y=3x+14

Step-by-step explanation:

Calculate the slope from 2 points.

Substitute either point into the equation.

Solve for b, which is the y-intercept of the line.

Substitute b, -1, into the equation from step 2.

hope it helps

Answer:

y-intercept for this equation is -1.

Answer:

57,000,000

Step-by-step explanation:

57,000,000

Answer: 16

Step-by-step explanation:

2(6+3)-2

12+6-2

18-2

16

Answer:

(2a - 5) • (3a - 2)

step by step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 6 • 10 = 60

Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -19 .

-60 + -1 = -61

-30 + -2 = -32

-20 + -3 = -23

-15 + -4 = -19 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and -4

6a2 - 15a - 4a - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

3a • (2a-5)

Add up the last 2 terms, pulling out common factors :

2 • (2a-5)

Step-5 : Add up the four terms of step 4 :

(3a-2) • (2a-5)

Which is the desired factorization

Final result :

(2a - 5) • (3a - 2)

Answer:

thank you ☺️☺️

Answer:

well we cant tell you the specifics to the graph you need help with because we cant see it but we can help you understand where to look

Step-by-step explanation:

So its proportional if the line lies on a straight path going through the (0,0)

and to find the constant of proportionality you divided by the first number on the Y-axis my the first number on the X-axis

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question

On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?

Speed is the change in distance if a body with respect to time. It is expressed mathematically according to the question as t = 1/500 × d

To determine the time it will take to travel 800miles, we will substitute d = 800 into the modeled equation.

t = 1/500 × 800

t = 800/500

t = 8/5

t = 1.6

[tex]( {x}^{2} + 6x + 8)( {x}^{2} + 6x + 13) =0 \\ [/tex]

_________________________________

[tex] {x}^{2} + 6x + 8 = 0 [/tex]

[tex](x + 2)(x + 4) = 0[/tex]

##############################

[tex]x + 2 = 0[/tex]

[tex]x = - 2[/tex]

##############################

[tex]x + 4 = 0[/tex]

[tex]x = - 4[/tex]

_________________________________

[tex] {x}^{2} + 6x + 13 = 0 [/tex]

[tex]∆ = {b}^{2} - 4ac [/tex]

[tex]a = coefficient \: \: of \: \: {x}^{2} = 1 [/tex]

[tex]b = coefficient \: \: of \: \: x = 6[/tex]

[tex]c = the \: \: alone \: \: number \: = 13 \\ [/tex]

Thus ;

[tex]∆ = ({6})^{2} - 4 \times (2) \times (13) [/tex]

[tex]∆ = 36 - 104[/tex]

[tex]∆ = - 68[/tex]

=======================================

Point :

Remember from now on ,

In quadratic functions ;

if :

[tex]∆ > 0[/tex]

The function has two roots

if :

[tex]∆ = 0[/tex]

The function has just one root

if :

[tex]∆ < 0[/tex]

The function doesn't have any root.

=======================================

Thus , ( x² + 6x + 13 ) doesn't have any root.

So ; ( x = - 2 ) & ( x = - 4 ) are the only roots.

_________________________________

And we're done....♥️♥️♥️♥️♥️

Answer:

c)-2,-4,-3+2i,-3-2i

Step-by-step explanation:

edge2020

Work Shown:

2wz = 2*(w)*(z)

2wz = 2*(a+2)*(z) .... replace w with a+2

2wz = 2*(a+2)*(a) ... replace z with a

2wz = 2a(a+2)

2wz = 2a(a) + 2a(2) .... distribute

2wz = 2a^2 + 4a

The value of 2wz in terms of a is equal to [tex]2wz=2a^{2} +4a[/tex]

To understand more, check explanation below.

The equation is given as,

                  w = a +2    and z = a

We have to find  2wz.

            [tex]2wz=2*w*z\\\\2wz=2*(a+2)*a\\\\2wz=2(a^{2}+2a )\\\\2wz=2a^{2} +4a[/tex]

The value of 2wz in terms of a is equal to [tex]2wz=2a^{2} +4a[/tex]

Learn more about the linear equation here:

https://brainly.com/question/14323743