expand and simplify

2a + 3(a + 5) ​

Answer:

A and D

Step-by-step explanation:

You can switch the orders of the two groups so that it is (2+c)(3) and you can switch the orders of 2 and c and neither would change the answer.

Answer:

A.

Step-by-step explanation:

If you use the vertical line test only one point hits the graph.

Using the vertical line test:

If you can draw a vertical line and it crosses the graphed line more than once, or multiples dots on the same line it is not a function.

The first graph is a function.

Answer:

Step-by-step explanation:

1) A = x

Flower garden is in rectangular shape. In rectangle, opposite sides are equal.

2)  The entire garden is in rectangular shape. In rectangle, opposite sides are equal.

B + x+ 4 = 10x + 6

Take x and 4 to other side to find the value of B. When taking to other side of equal to sign, the sign of x and 4 will change

B = 10x + 6 - x  - 4

B = 10x - x + 6 - 4   {Combine like terms}

B = 9x + 2

3)  C + x -2 = 5x -3

   C = 5x - 3 - x  +2

C = 5x -x - 3 + 2

C = 4x - 1

4) Area of Vegetable garden = length * width

                                                = (5x - 3) * (9x + 2)

Use FOIL method

                                               = 5x *9x  + 5x*2  + (-3)*9x + (-3)*2

                                                = 45x²  + 10x - 27x - 6  

                                                = 45x² - 17x - 6

Answer:

[tex]12^{12}[/tex]

Step-by-step explanation:

Using exponent rules, we know that:

[tex]x^a \div x^b = x^{a-b}[/tex].

Since we are dividing [tex]12^{16}[/tex] by [tex]12^4[/tex], then simplified, this totals out to [tex]12^{16-4}[/tex] or [tex]12^{12}[/tex].

Hope this helped!

Answer:

[tex]12^{12}[/tex]

Step-by-step explanation:

[tex]\frac{12^{16}}{12^4}\\\\\frac{a^b}{a^c}=a^{b-c}\\\\\frac{12^{16}}{12^4}=12^{16-4}=\boxed{12^{12}}[/tex]

Hope this helps.

Answer:

H.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

f(x) = x^2 + 1

g(x) = 2x - 5

Find: g(f(3))

First find f(3) = 3^2 +1 = 9+1 = 10

The find g(10) = 2*10 -5 = 20-5 =15

Answer: A rectangle is a 2-dimensional and a cube is a 3-dimensional

Step-by-step explanation:

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ] , thus

[tex]S_{20}[/tex] = [tex]\frac{20}{2}[/tex] [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

Answer:

197.3

Step-by-step explanation:

Answer:

The number of coupons Querida gave away in Sunday is proportional to the number of hours she worked that day.

Step-by-step explanation:

It is provided that on Sunday Querida gave away about 52 coupons an hour.

Compute the number of coupons given away for different hours as follows:

    Number of hours :    1         2          3          4

Number of Coupons :   52      104      156      208

Compute the number of coupons given away per hour provided that Querida worked 2 hours, 3 hours and 4 hours on Sunday as follows:

[tex]\text{Number of coupons given away per hour}=\frac{104}{2}=52\ \text{coupon/hour}[/tex]

[tex]\text{Number of coupons given away per hour}=\frac{156}{3}=52\ \text{coupon/hour}[/tex]

[tex]\text{Number of coupons given away per hour}=\frac{208}{4}=52\ \text{coupon/hour}[/tex]

Thus, the number of coupons Querida gave away in Sunday is proportional to the number of hours she worked that day.

Answer:

(z-9)(z+9)

Step-by-step explanation:

z²-81

(z-9)(z+9)

Answer:

h+6/5=3

We move all terms to the left:

h+6/5-(3)=0

determiningTheFunctionDomain

h-3+6/5=0

We multiply all the terms by the denominator

h*5+6-3*5=0

We add all the numbers together, and all the variables

h*5-9=0

Wy multiply elements

5h-9=0

We move all terms containing h to the left, all other terms to the right

5h=9

h=9/5

h=1+4/5

Step-by-step explanation:

Answer:

los CM a m = entre 100

Step-by-step explanation:

___________________

Answer:

the answer is 65

Step-by-step explanation:

13x5=65

12 feet is the distance along the ground from the truck to the end of the ramp.

What is Pythagorean Theorem?

For a right-angled triangle

(base)²+(height)²=(hypotenuse)².

The ramp makes a right-angled triangle with the truck and the ground refer to the supported diagram.

Let x be the distance along the ground from the truck to the end of the ramp. Then

x²+5²=13²

⇒x²=13²-5²

⇒x²=169-25=144=12²

Hence, 12 feet is the distance along the ground from the truck to the end of the ramp.

To learn more about the Pythagorean theorem visit- https://brainly.com/question/343682?referrer=searchResults

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Answer: 200 literes will be used in an hour

Step-by-step explanation:

1. 150 divided by 45 mins = 3.3 recurring

2. 3.3 recurring times 60 ( 60 mins in an hour) = 200

The amount of the petrol will be consumed in one hour will be 200 liters.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A car uses 150 liters of petrol in 45 minutes.

Then the rate at which the amount of petrol is consumed in liters per minutes will be

⇒ 150 / 45

⇒ 10 / 3  Liters per minutes

We know that there are 60 minutes in one hour.

Then the amount of the petrol will be consumed in one hour will be

⇒ (10 / 3) x 60

⇒ 10 x 20

⇒ 200 liters

Thus, the amount of the petrol will be consumed in one hour will be 200 liters.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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Answer:

14

Step-by-step explanation:

3(6) - 9(2) + 8 + (6)

18 - 9(2) + 8 + (6)

18 - 18 + 8 + (6)

0 + 8 + (6)

8 + (6)

14

Answer:

L=120−12tt

Step-by-step explanation:

$120 is the total kaylee needs to pay back. She pays back 12$ each week, as you can determine from 60 / 5. so, 120-12tt

Answer:

y tú la vez bebiendo de la botella guz dividido por qué colgaron que no se sienta en tu casa no te preocupes que no me dijan no me dijan no me dijan que hacen

Answer:

call center A and B offer equal wages

Step-by-step explanation:

15/60 min 0.25/60 s

15/60 = 0.25

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{14 {x}^{2} - 96}{ {x}^{4} - 13 {x}^{2} + 36}}}}}} [/tex]

Step-by-step explanation:

[tex] \sf{ \frac{2}{x - 2} + \frac{1}{x - 3} - \frac{2}{ x + 2} - \frac{1}{ x + 3}}[/tex]

⇒[tex]\sf{ \frac{2(x - 3)(x + 3)(x + 2) + (x - 2)(x + 2)(x + 3) - 2(x - 2)(x - 3)(x + 3) - (x - 2)(x + 2)(x - 3)}{(x - 2)(x - 3)(x + 2)(x + 3)}} [/tex]

Use the formula : a² - b² = ( a + b ) ( a - b )

⇒[tex] \sf{ \frac{2( {x}^{2} - 9)(x + 2) + ( {x}^{2} - 4)(x + 3) - (2x - 4)( {x}^{2} - 9) - ( {x}^{2} - 4)(x - 3) }{( {x}^{2} - 4)( {x}^{2} - 9)}} [/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{ \frac{(2 {x}^{2} - 18)(x + 2) + ( {x}^{2} - 4)(x + 3) - (2x - 4)( {x}^{2} - 9) - ( {x}^{2} - 4)(x - 3)}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]

Multiply the algebraic expressions

⇒[tex] \sf{ \frac{2 {x}^{3} + 4 {x}^{2} - 18x - 36 + {x}^{3} + 3 {x}^{2} - 4x - 12 - (2 {x}^{3} - 18x - 4 {x}^{2} + 36) - ( {x}^{3} - 3 {x}^{2} - 4x + 12) } {( {x}^{2} - 4)( {x}^{2} - 9)} }[/tex]

When there is a ( - ) in front of an expression, change the sign of each term in the expression

⇒[tex] \sf{ \frac{2 {x}^{3} + 4 {x}^{2} - 18x - 36 + {x}^{3} + 3 {x}^{2} - 4x - 12 - 2 {x}^{3} + 18x + 4 {x}^{2} - 36 - {x}^{3} + 3 {x}^{2} + 4x - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]

Since two opposites add up to zero, it would be better to remove them from the expression

⇒[tex] \sf{ \frac{4 {x}^{2} - 36 + 3 {x}^{2} - 12 + 4 {x}^{2} - 36 + 3 {x}^{2} - 12}{( {x}^{2} - 4)( {x}^{2} - 9)} }[/tex]

collect like terms and simplify

⇒[tex] \sf{ \frac{14 {x}^{2} - 48 - 36 - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]

⇒[tex] \sf{ \frac{14 {x}^{2} - 84 - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]

⇒[tex] \sf{ \frac{14 {x}^{2} - 96}{ ({x}^{2} - 4)( {x}^{2} - 9)} } [/tex]

Multiply : ( x² - 4 ) and ( x² - 9 )

⇒[tex] \sf{ \frac{14 {x}^{2} - 96}{ {x}^{4} - 13 {x}^{2} + 36}} [/tex]

Hope I helped!

Best regards! :D

Answer:

c^10 d^18

Step-by-step explanation:

Answer:

$3.99

Step-by-step explanation:

If 6 pounds is $5.99

We can round that to $6

Meaning $1 per Pound. Now since 4 pounds times $1 per pounds equals $4. Turn that down one cent. You get $3.99

Please give brainliest. Thanks

Answer:

Exact Form:

5/2

Decimal Form:

2.5

Mixed Number Form:

21/2

Answer:

1

Step-by-step explanation:

Numbers to the "right of 0" implies the positive numbers.  And an integer has no fractional component.  Thus, the first integer to the right of 0 would be 1.

Cheers.

Answer:

Hey there!

11x-3=5x+11

6x-3=11

6x=14

x=7/3

Let me know if this helps :)

Answer:

[tex]\boxed{ 2 \frac{1}{3} }[/tex]

Step-by-step explanation:

Hey there!

Given,

11x - 3 = 5x + 11

Single out x

11x - 3 = 5x + 11

 11x = 5x + 14

     6x = 14

    x = 2 1/3

Hope this helps :)

Answer:

The number is 4

Step-by-step explanation:

Let the number be  n

Twice the number : 2*n = 2n

Half the number : 1/2 n

[tex]2n+ \frac{n}{2}=10\\\\\frac{2n*2}{2}+\frac{n}{2}=10\\\\\frac{4n}{2}+\frac{n}{2}=10\\\\\frac{5n}{2}=10\\\\5n=10*2\\\\5n=20\\\\n=\frac{20}{5}\\\\[/tex]

n = 4

Answer:

Step-by-step explanation:

Short term 166,500 (150000x.11 then add that answer to 150000)

Long term 163,500

Answer:

n=6

Step-by-step explanation:

6 ( n + 5 ) = 66

Divide each side by 6

6/6 ( n + 5 ) = 66/6

n+5 = 11

Subtract 5 from each side

n+5-5 = 11-5

n = 6

Answer:

n=6

Step-by-step explanation:

We are given the equation

6(n+5)=66

We must solve for the variable, n. Therefore, we have to isolate n on one side of the equation.

6 is being multiplied by (n+5). The inverse of multiplication is division. Divide both sides of the equation by 6.

6(n+5)/6=66/6

(n+5) = 66/6

n+5 = 11

5 is being added to n. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.

n+5-5=11-5

n=11-5

n=6

Let's check our solution. Plug 6 in for n and solve.

6(n+5)=66

6(6+5)=66

6(11)=66

66=66

The statement above is true, so we know our solution is correct.

The solution to the equation 6(n+5)=66 is n=6

Answer:

Step-by-step explanation:

[tex]z^0\times z^{-75}\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \:a^b\cdot \:a^c=a^{b+c}\\\\z^0z^{-75}=z^{0-75}\\\\=z^{-75}[/tex]