Simplify the expression to a polynomial in standard form:
(3x + 1)(2x2 + 9x + 6)

Answer:

if the mean of 4 numbers is 30 then that means that the total of all the numbers added together must add up to 120 (30 x 4)

then you subtract the three numbers that you have from the total

120-12-50-48 = 10

so the last number is 10

Step-by-step explanation:

Answer:

-12y^10

Step-by-step explanation:

First let's rewrite the equation using the commutative property of multiplication
3 x (-4)y^8y^2

Multiply y^8 by y^2 by adding the exponents
y^8+y^2= y^10

3 x (-4)y^10

Now multiply 3 by -4
3 x -4= -12

Finally put them together
-12 + y^10= -12y^10

Answer:

[tex] - 12 {y}^{10} [/tex]

Step-by-step explanation:

We are to simplify:

[tex](3 {y}^{8} )( - 4 {y}^{2} )[/tex]

3 multiplies -4 to get -12, as shown below

[tex]3 \times - 4 = - 12[/tex]

Now, to multiply the exponents which are 8 and 2, we have to use the exponential rule of multiplication: [tex] {a}^{b} \times {a}^{c} = {a}^{b + c} [/tex]

Therefore:

[tex] {y}^{8} \times {y}^{2} = = > {y}^{8 + 2} = {y}^{10} [/tex]

Now, combine -12 and [tex] {y}^{10} [/tex] to get your final answer.

Final answer [tex] = - 12 {y}^{10} [/tex]

Answer:

320 ft^2

Step-by-step explanation:

The table of values is:

Time(min)           |         Distance(mi)

0                                         0

1/2                                     2/3

1                                         4/3

9/4                                      3

8                                       32/3

1) The relationship between Distance and Time is proportional.

2) The unit rate is 4/3 miles

To complete the table, we need to find the missing values of time and distance.

We use the relation between Distance, speed and time ,to find the missing values, which is given by,

Distance = Speed x Time

Given when time = 1/2 minute, the distance = 2/3 miles

Speed = Distance/Time

           = 2/3 x 2/1

           = 4/3 mile per minute.

This is the constant speed of the cheetah. We use this constant speed to find the other values to complete the table.

So If we take 'y' as the distance and 'x' as the time, then the relationship between time and distance can be expressed as

  y = (4/3)x  [since Distance = Speed x Time ].

So this relationship is proportional because there is a constant of proportionality 4/3 in the linear equation above and hence can be graphed as well.

The graph will contain the time values on the x-axis and distance values on the y-axis.

So now we need to find the missing values on the table using the above linear equation.

When time, x = 1 minute, distance, y = (4/3) x 1 = 4/3 miles.

When distance, y = 3 miles, 3 = (4/3)x

⇒ time, x = 3 x (3/4) = 9/4 minutes.

When time, x = 8 minutes, distance, y = (4/3) x 8 = 32/3 miles.

So the table is:

Time(min)            |        Distance(mi)

0                                         0

1/2                                     2/3

1                                         4/3

9/4                                     3

8                                        32/3

The unit rate refers to the y-value when the x-value is unity(1). So the unit rate here is found when time = 1 minute.

From the table, distance when time = 1 minute is 4/3 miles.

Hence, unit rate = 4/3 miles.

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Answer:

Undefined

Step-by-step explanation:

Answer:

6 miles

Step-by-step explanation:

36/2=18 mph

18/3=6 per 1/3 hour

Answer: Local Department Store: $6.5, $118.5

Across Town: $13, $102

Neighboring City: $26, $96

Step-by-step explanation:

Local Department Store: 1 hr=60 min.

60/15=4

26/4=$6.5

112+6.5=$118.5

Across Town: 60/30=2

26/2=$13

89+13=$102

Neighboring City: 60/60=1

26/1=$26

70+26=$96

its 256.............................

Answer:

i think 126 sorry if im wrong

Step-by-step explanation:

Answer: least value - 22

first quartile - 29

median - 35

third quartile - 47

greatest value - 62

Step-by-step explanation:

The ordered pairs, justification of the function with different order pairs is required.

The ordered pairs are [tex](0,10),(1,9.5),(2,9),(3,8.5),(4,8),(5,7.5)[/tex]

All values of [tex]x[/tex] has a unique value in [tex]y[/tex] so, it is a function.

y = Height of candle

x = Number of hours

m = Rate = 0.5 inches per hour

c = y intercept = Initial height = 10 inches

The required function is

[tex]y=-0.5x+10[/tex]

Six ordered pairs would be

[tex]x=0,1,2,3,4,5[/tex]

[tex]y=-0.5\times 0+10=10[/tex]

[tex]y=-0.5\times 1+10=9.5[/tex]

[tex]y=-0.5\times 2+10=9[/tex]

[tex]y=-0.5\times 3+10=8.5[/tex]

[tex]y=-0.5\times 4+10=8[/tex]

[tex]y=-0.5\times 5+10=7.5[/tex]

The ordered pairs are

[tex](0,10),(1,9.5),(2,9),(3,8.5),(4,8),(5,7.5)[/tex]

It can be seen that all values of [tex]x[/tex] has a unique value in [tex]y[/tex] so, it is a function.

If m = 0.75 inches per hour

The function would change to

[tex]y=-0.75x+10[/tex]

Some ordered pairs would be

[tex]y=-0.75\times 0+10[/tex]

[tex]y=-0.75\times 1+10[/tex]

[tex](0,10),(1,9.25)[/tex]

The same is seen in this function, all values of [tex]x[/tex] has a unique value in [tex]y[/tex] so, it is a function.

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Answer:

1440 hrs

Step-by-step explanation:

5 is the number of hours he works, and 45 is the total money David makes.

Two or more expressions with an Equal sign is called as Equation.

Given that David  offers his clients two different service options.

Plan A charges $20 per month plus $5 an hour.

Plan B charges $30 per month plus $3 an hour.

y = 5x + 20 and y = 3x + 30 are the system of equations to determine how much money he can make on both plans.

y = 5x + 20..(1)

y = 3x + 30..(2)

Substitute equation 2 from equation 1.

y-y=5x+20-3x-30

0=2x-10

2x=10

Divide both sides by 2

x=5.

Now substitute x in equation 1.

y=25+20

y=45

Hence, 5 is the number of hours he works, and 45 is the total money David makes.

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Answer:

2.52

Step-by-step explanation:

Answer:

2.52

Step-by-step explanation:

Answer:

7w-6w

Step-by-step explanation:

I think this is what your asking for. If it is, you distribute the w

Answer:

w

Step-by-step explanation:

You complete the subtraction in the parentheses first, then multiple that by w. So:

(7-6) x w

(7-6) = 1

1 x w = w

Answer:

60%

Step-by-step explanation: i hope this heple

\

Answer: 750 times more stars.

Step-by-step explanation:

You already know the answer (Galaxy B is quite obviously larger) but the amount of times larger is dependent on the value you get when you divide;

6 billion by 8 million (6,000,000,000/8,000,000)

...which is 750.

Answer:

[tex]-x^2+6x-19[/tex]

Step-by-step explanation:

Step one:

given

[tex]2x^2+5x-10\\\\3x^2 - x + 9[/tex]

we want to perform a subtraction operation

[tex]2x^2+5x-10-(3x^2 - x + 9)\\\\ 2x^2+5x-10-3x^2 + x - 9 \\\\[/tex]

collect like terms

[tex]2x^2-3x^2+5x+x-10-9\\\\-x^2+6x-19[/tex]

Answer:

169

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

its hard to tell but i think it dilated 5 units

We want to find the scale factor at which QRST is dilated to form Q'R'S'T'

We will find that the scale factor is 2.

In a general dilation, we will see that all the measures change in the same way, by the scale factor.

This means that:

QR*k = Q'R'

RS*k = R'S'

And so on, where k is the scale factor.

Then we can just find one of the equivalent measures in both trapezoids and find the value of k.

For example, we have:

Q'R' = 8

QR = 4

Replacing these on the above equation we get:

4*k = 8

k = 8/4 = 2

k = 2

The scale factor of dilation is 2.

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Answer:

k

Step-by-step explanation:

10)×20+21-150

you will end up getting your answers

I want you to just do the easy bit

the calculations if that's alright

Answer:

include a picture

Answer:

THIS IS THE CORRECT ANSWER FOR IMAGINE MATH BRAINLIEST PLZ

Step-by-step explanation:

yw!

Two numbers on each die are squares: 1 and 4. 4 numbers on each die are not squares: 2 , 3, 5, and 6. there are 16 ways for him to roll a non-square die, out of 36 outcomes for the pair of dice. The other 20 options each have a square number showing on one or both dice. So, the probability is 5/9. hope this helps please pick my answer as brainliest, have a good day!

Answer:

180°

Step-by-step explanation:

Two adjacent angles whose sum add up to 180°are called Linear pair. The uncommon arms of two adjacent angles form a straight line.

Answer:

(appx) 4.3

Step-by-step explanation:

[tex] \sin(64) = \frac{x}{10} [/tex]

[tex] = > 0.43 = \frac{x}{10} [/tex]

[tex] = > x = 4.3[/tex]

Answer:

Approximately 70 degrees

Step-by-step explanation:

If we make a right triangle connecting the two buildings, we get a triangle with height 278m and length 100m

We can connect these two values to the theta by using the inverse tan formula

arctan(278/100) = 70.21572110836 degrees.

The angle of depression is approximately 70 degrees

Answer:

  C

Step-by-step explanation:

You want to choose the number line graph that appropriately represents the inequality 0 < x ≤ 26.

The given compound inequality is conveniently written with the "arrows" pointing to the left. This means the lower limit of the variable is on the left side of the inequality, just as it is on the left end of the number line graph.

The inequality symbols used are "less than" (<) and "less than or equal to" (≤). The "less than" symbol is represented on a number line graph by an open circle. The "less than or equal to" symbol is represented by a filled dot on the number line.

This means you are looking for a graph that has an open circle on the left end of a solid line, and a filled dot on the right end. Only graphs B and C have finite-length lines, and only graph C has a filled dot at the right end.

In English, the word "between" often implies "and including" when it is describing an interval between two limits. Here, you are given 3 car seat specifications:

The seats appropriate for a 33-lb child would be seats B and C, because 33 is included in each of those intervals.