What is the arithmetic mean of the following
numbers?
4,9,6, 3, 4,2

Why not? Well the 6x-3x portion simplifies to 3x. So the x terms are equivalent; however, the 4 and 8 in the first expression combine to 12, which is not equivalent to that 4 in the other expression.

In other words, 6x+4-3x+8 should simplify to 3x+12 and not 3x+4.

Answer:

8.7

Step-by-step explanation:

Given:

A polynomial crosses through the x-axis at -2 and touches the x-axis and turns around at 4.​

To find:

The polynomial function in factored form.

Solution:

If the graph of a polynomial intersect the x-axis at [tex]x=a[/tex], then [tex](x-a)[/tex] is a factor of the polynomial.

If the graph of a polynomial touches the x-axis at [tex]x=b[/tex], then [tex](x-b)[/tex] is a factor of the polynomial with multiplicity 2. In other words [tex](x-b)^2[/tex] is the factor of the polynomial.

It is given that the polynomial crosses through the x-axis at -2. So, [tex](x+2)[/tex] is a factor of required polynomial.

It is given that the polynomial touches the x-axis and turns around at 4. So, [tex](x-4)^2[/tex] is a factor of required polynomial.

Now, the required polynomial is:

[tex]P(x)=(x+2)(x-4)^2[/tex]

Therefore, the required polynomial is [tex]P(x)=(x+2)(x-4)^2[/tex].

Answer:

Actual answer:

4^4 = 16

16 x 3.14 = 50.24

50.24 x 1(height) = 50.24

Rounded to the nearest Tenth:

50.24 rounded = 50.2

Answer:

n=1/2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Both angles together will equal as they are opposite of each other

therefore

15x=16x-5

15x+5=16x

5=x

Answer:

x = 5

Step-by-step explanation:

The two angles are congruent because of the Vertical Angles Theorem. Since we now know that they're congruent, we can set up an equation to like this:

15x = 16x - 5

Now that we have an equation, we can solve for x.

First, we subtract 15x from both sides. Now we're left with an equation that should look like this:

0 = x - 5

Now we add 5 to both sides to get our solution. It should look like this.

5 = x

And there's your answer! Hope this helps.

Answer:

One

Step-by-step explanation:

Given data

The capacity of Jug= 6L

Needed capacity of Juice= 5L

Hence  one Jug of Juice will be enough because one jug of juice will cover for 6L and 1 L will actually remain

Answer:

Square root of 3 upon 5:

√3÷5

= 0.3464101615137

≈ 0.35 (corrected to 2 decimal places)

Answer:

44

Step-by-step explanation:

Angles that form a straight line add up to equal 180 degrees

Hence, e + 8 + 3e - 4 = 180

                      ^ ( note that we just created an equation that we can use to

                          solve for e )

Using the equation created, we then solve for e

e + 8 + 3e - 4 = 180

step 1 combine like terms

3e + e = 4e

8 - 4 = 4

we now have 180 = 4e + 4

step 2 subtract 4 from each side

180 - 4 = 176

4 - 4 cancels out

we now have 176 = 4e

step 3 divide each side by 4

176 / 4 = 44

4e / 4 = e

we're left with e = 44

Answer:

145 + 33n

Step-by-step explanation:

Let

n = number of members in the club

Day 1:

Cost = 50 + 18n

Day 2:

Cost = 95 + 15n

Total cost two-day field trip = day 1 + day 2

= (50 + 18n) + (95 + 15n)

= 50 + 18n + 95 + 15n

= 145 + 33n

Total cost two-day field trip = 145 + 33n

An expression that represents the total cost in dollars for two days for the n members of the club is given by 145 + 33n

Answer:

4)56yards²

5)336 yards²

6)375yards²

Step-by-step explanation:

from the graph we acquire that

remember that,

[tex] \displaystyle A _{ \text{rect}} = l \times w[/tex]

thus substitute:

[tex] \displaystyle A _{ \text{rect}} = 4 \times 3.5 \: [/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{rect}} = 14\: [/tex]

14 means that the rectangle has 14 squares

so,

[tex] \displaystyle 1 \: \text{square} \implies 4 \: { \text{yards}}^{2} \\ 14 \: \text{square} \implies 14 \times 4 \: { \text{yards}}^{2} \\ \qquad = 56 \: { \text{yards}}^{2} [/tex]

likewise

from the graph we acquire that

likewise

[tex] \displaystyle A _{ \text{rect}} = 6 \times 3.5 \: [/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{rect}} = 21[/tex]

so,

[tex] \displaystyle 1 \: \text{square} \implies 16 \: { \text{yards}}^{2} \\ 21 \: \text{square} \implies 16 \times 21 \: { \text{yards}}^{2} \\ \qquad = 336\: { \text{yards}}^{2} [/tex]

likewise

[tex] \displaystyle A _{ \text{rect}} = 6 \times 2.5 \: [/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{rect}} = 15[/tex]

so,

[tex] \displaystyle 1 \: \text{square} \implies 25 \: { \text{yards}}^{2} \\ 15 \: \text{square} \implies 15 \times 25 \: { \text{yards}}^{2} \\ \qquad = 375\: { \text{yards}}^{2} [/tex]

The question is incorrect. Please see the correct question

Jill, an employee at Old Navy, budgets 1/3 of her yearly salary for clothing. Jill's total clothing bill for the year is $8,220. What is her yearly salary

Answer:

24,660

Step-by-step explanation:

Let y represent her yearly salary

1/3 × y

1/3y

1/3y= 8220

Cross multiply

y= 8220 ×3

= 24,660

Hence Jill yearly salary is 24,660

Answer:

I think choose (D)

[tex] \frac{4}{10} and \frac{10}{25} [/tex]

Answer:

it is in the picture above

Step-by-step explanation:

please give branliest if you want

Step-by-step explanation:

its "false" they r not same.

stay safe healthy and happy.

65% off means the sale price would be 35% of the original price ( 100% - 65% = 35%)

To find the sale price multiply the original price by 35%

31 x 0.35 = 10.85

The sale price is $10.85

Answer:

Step-by-step explanation:

Volume is the quantity of three dimensional enclosed by a closed surface , for example , the space that a substance or 3D shape excipients or contains .Volume is often quantified numerically using the SI derived unit , the cubic metre.

Answer: you said help so I’m not going to give the actual answer, just how to do it.

Step-by-step explanation:

You have to find the answer first. You work out the top and then you work out the bottom. Then divide the top by the bottom. YIU will get a number woth a power. The power is x that is your answer.

Answer:

Step-by-step explanation:

Answer:

number 1: i wont guve you the answee but its either A or C thats the hint because your subtracting becasue it says your losing 950 a year so the adding is not it so its not B neither D it has to be either A or C.

number 2: its A

number 3: u think its D im not sure because its either B or D but im pretty sire its D.

number 4: its D there yiu have it hope it helped.

Answer:

E is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The answer is 7.2.

Step-by-step explanation:

Have a great day.

Answer:

d = 7.2

Step-by-step explanation:

all you have to do is multiply 1.2 by 6 to get your answer

[tex]1.2 \times 6 = 7.2[/tex]

Answer:

scale factor = 2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original

C'D' = 6 and CD = 3 then

scale factor = [tex]\frac{6}{3}[/tex] = 2

Answer:

The final balance is $16,406.01.

The total compound interest is $8,406.01

Step-by-step explanation:

take the initial balance and multiply that by the interest then take 12 and multiply that times the previous answer.

Answer:

3x - 6

Step-by-step explanation:

Using the keywords "a number" and "few than" and "times" we can identify the expression.

Answer:

Let the number be x

Basically, 3 times a number is 3x and 6 fewer than 3 times a number is 3x-6 (that is, 6 is less than 3x)

Hence the required expression is 3x-6.

hope it helps :)

Answer:

w² + 5w = 36

Step-by-step explanation:

Since the pen is a rectangle, its area, A = lw where l = length and w = width.

Since the length of the fence is 5 feet longer than its width, we have l = w + 5

So, A = lw = (w + 5)w = w² + 5w

Since A = 36 ft², we have that

36 = w² + 5w

w² + 5w = 36

Which is the required equation.