how to simplify 12+ 2(3x+7)​

Answer:

(5a + 6b)(6[tex]a^{2}[/tex] + 5[tex]b^{2}[/tex])

Step-by-step explanation:

1. Factor out common terms in the first two terms, then in the last two terms

2.  Factor out the common term 5a + 6b

Answer:  2 .    5

               6       4

Step-by-step explanation:

The solution is

The equation of sets is given by n(A∪B) = n(A) + n(B) - n(A⋂B)

What is Set Theory Formula?

The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

Given data ,

Let the equation be represented as A

The value of A is

n(A∪B) = n(A) + n(B) - n(A⋂B)

So , from the given Venn diagram , we get

The number of people who have been to the United States and Australia is given by A = 2

The number of people who have been to Australia and not been to United States is B = 5

The number of people who have not been to Australia but been to United States is C = 6

The number of people who have not been to Australia and not been to United States is D = 4

Hence , the equation is solved by sets

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The number of dimes Joe has is 6.

Joe has dimes and nickels, the total amount is $1.45

We have to find the number of dimes Joe has.

Suppose the number of dimes is d, so we have the number of nickels is 2d + 5

Now from the question, we get an equation:

0.10d + 0.05( 2d+ 5) = $1.45

To know the value of d we need to solve the equation:

0.10d + 0.10d + 0.25 = 1.45

0.20d = 1.20

d = 120/20

   = 6

Hence we get the total number of dimes Joe has is 6.

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Answer:

.255

Step-by-step explanation:

Answer:

D: -75 the balloon is descending at a rate of 75ft per minute

Step-by-step explanation:

To find the slope of any graph, take two points on the graph and subtract them y/x so to get this answer is used the points (0,450) and (2,300) and subtracted the y-values over the x-values

450-300=150

0-2=-2

150/-2 = -75

that is the slope and since it is negative and the slope itself is a diagonal line going towards the x-axis you know it’s descending.

Hope this helps :)

Answer:

20

Step-by-step explanation:

To evaluate, substitute x = 6 into f(x) , that is

f(6) = 2(6) + 8 = 12 + 8 = 20

[tex]f(x)=2x+8[/tex]

Substitute x = 6 in the equation.

[tex]f(6)=2(6)+8\\f(6)=12+8\\f(6)=20[/tex]

Therefore, the answer is f(6) = 20.

The last choice.

Also note that do not post exam/test question here.

The surface area of the spherical water tower is  2462 ft²

The surface area of the sphere is the portion he will paint.

Therefore,

surface area of a sphere = 4πr²

where

Therefore,

diameter = 2r

r = diameter / 2

surface area of a sphere = 4 × π × 14²

surface area of a sphere =  4 × π × 196

surface area of a sphere = 784π

surface area of a sphere = 784 × 3.14

surface area of a sphere = 2461.76

surface area of a sphere =  2461.76 ft²

surface area of a sphere =  2462 ft²

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Answer:

0.4

Step-by-step explanation:

5x-2 =0

5x = 2

x=2/5

x=0.4

Answer:

$35.95

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

[tex]h(1/2)=\frac{1}{\frac{1}{2}+1} \\ \\ =\frac{2}{3}[/tex]

Answer:

ab= 49/4

a•b =539

Step-by-step explanation:

Answer:

I don't know the answer but try using 900gle lens and scanning it on homework setting

Answer:

Range is 0 ≤  h ≤ 32

Step-by-step explanation:

The height is a function of time and is described as h(t) = -8t² + 32t

h is the y-axis and t is the x axis, so we can write this as y = -8x² + 32 x.

This describes a parabola that opens downward, since the coefficient of the square term is negative. The maximum point for height will be at the vertex of the parabola.

y = ax² + bx + c

The x coordinate of the vertex is at -b/2a

a = -8, b = 32, c = 0

-b/2a = -32/-16 = 2

Maximum height is at x = 2 seconds (we can see this on the graph)

At 2 seconds, y = -8(2²) + 32(2) = -32 + 64 = 32

Again, we can see this on the graph.

The x intercepts are the points where y = 0

0 = -8x² + 32x = 8x(-x +4)

y will be 0 when x is 0 or 4 (confirmed by graph)

So, the height (y) = 0 at time (x) = 0 sec, 4 sec

0 ≤ y ≤ 32

y = h, so 0 ≤ h ≤ 32

I hope this helps.

Answer:

x = -11 or 5

Step-by-step explanation:

[3(-11)+9]

[-33+9]

[-24]

24

[3(5)+9]

[15+9]

[24]

24

Answer:

A

Step-by-step explanation:

I checked it and it’s right hope this helps!!

Answer:

the price was reduced by 25%

Step-by-step explanation:

60 - 45 = 15

15 is what percent of 60?

15/60 = .25 x 100 = 25%

also can notice that 15 is 1/4 of 60, so it is equal to 25%.

Answer:

The range of values for the third side is that;

x < 91

Step-by-step explanation:

For us to have a triangle formed, the length of the third side is smaller than the sum of the length of the two other sides

Mathematically;

Let us call the third side x

x < 52 + 39

x < 91

Answer:

[see below]

Step-by-step explanation:

[tex]y=x^2+1; y=4\\\\4=x^2+1\\\\4-1=x^2+1-1\\\\3=x^2\\\\\sqrt{3}=\sqrt{x^2}\\\\ \boxed{1.7; -1.7=x}[/tex]

Hope this helps.

Answer:

1. From the origin, move 7 units back, 9 units right, and 2 units down.

2. From the origin, move 2 units back, 8 units right, and 4 units down.

Hope this helps :)

Answer:

The Equation we can use to solve for the cost of each box of candy =

4.95 + 3b = 18.45

The cost of each box of candy = $4.5

Step-by-step explanation:

Let the number of boxes of candy be represented by: b

Each box of candy cost the same amount

Hence from the question above, we have the Equation:

$4.95 + 3b = $18.45

4.95 + 3b = 18.45

3b = 18.45 - 4.95

3b = 13.5

b = 13.5/3

b = 4.5

The cost of each box of candy = $4.5

Answer:

3.9 x 10^6

Step-by-step explanation:

3.9 x 10^6

The volume of the cylinder in cubic centimeters is 251.2 cm^3.

The volume of a cylinder is expressed as:

V = πr²h

V = base area * height

Given the following

Base area =  16π centimeters

Height = 5cm

Substitute into the formula to have:

V = 16(3.14) * 5

V = 251.2 cm^3

Hence the volume of the cylinder in cubic centimeters is 251.2 cm^3.

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Answer:

mark negative 1 on x axis and mark negative 2 on why access

Step-by-step explanation:

Answer:

dray your line through (0,2) and (4,0)

Step-by-step explanation:

(x, f(x)

(x,y)

Answer:

the answer would just be 8

Step-by-step explanation:

5 +3 = 8 and it would be a deep green

Answer:

0.30 does mean 30%

Step-by-step explanation:

Answer:

B. -4

Step-by-step explanation:

The right answer is B. -4

Answer:

8:30 pm

Step-by-step explanation:

Bus A and Bus B leave the bus depot at 5 pm. Bus A takes 30 minutes to complete its route once and bus B takes 35 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?

We solve the above question using the Lowest Common Multiple Method.

We find the Multiples of 30 minutes and 35 minutes

Multiples of 30:

30, 60, 90, 120, 150, 180, 210, 240, 270

Multiples of 35:

35, 70, 105, 140, 175, 210, 245, 280

Therefore,

LCM(30, 35) = 210

The Lowest Common Multiple = 210. This means that bus A and bus B will be back at the same depot together after 210 minutes.

We add 210 minutes to 5pm

5 pm + 210 minutes

= 5 pm + 3 hours 30 minutes

= 8:30 pm

Bus A and Bus B will be back at the depot together by 8:30 pm.

Answer:3

Step-by-step explanation: