Solve for x:
x + 9 = 18 + -2x

9514 1404 393

Answer:

  (x +6)(3x +4)

Step-by-step explanation:

The usual approach to this is to look for factors of the product 3·24 that have a sum of 22.

  72 = 1·72 = 2·36 = 3·24 = 4·18 = 6·12 = 8·9

Sums of these factor pairs are 73, 38, 27, 22, 18, 17.

Now, you can rewrite the expression splitting the middle term into two parts:

  3x² +4x +18x +24

  x(3x +4) +6(3x +4) . . . . . . factor by grouping

  (x +6)(3x +4) . . . . . . . . . . your factored form

_____

Additional comment

I find this method easiest to explain and to do without error. There are various "X" methods in which you write the product at the top (3·24) and the sum at the bottom (22), then fill in the sides with the factors having that product and sum (4, 18). When the leading coefficient is not 1, there are methods added to this that get you to the correct factors.

One such method is to use the leading coefficient inside parentheses: (3x+4)(3x+18) Then divide that product by the leading coefficient:

  (3x +4)(3x +18)/3 = (3x +4)(x +6).

In some cases, each of the binomials needs to be divided by part of the leading coefficient; not the whole thing, as here.

[tex]\\ \sf\Rrightarrow 3x^2+22x+24[/tex]

[tex]\\ \sf\Rrightarrow 3x^2+18x+4x+24[/tex]

[tex]\\ \sf\Rrightarrow 3x(x+6)+4(x+6)[/tex]

[tex]\\ \sf\Rrightarrow (3x+4)(x+6)[/tex]

Done!

Answer:

780

Step-by-step explanation:

Answer:

Evaluate.

15.91828182 = 289.47

Step-by-step explanation:

3.15m or 3 3/20m

She has a total of 12.6m of ribbbon.

She has to make 4 flowers and each has ribbon.

You take 12.6÷4

Answer:

she would use 3.15 meters on each flower because when you divide 12.6 meters by 4 it equals 3.15 meters.

Answer:

y=5/8x-21/8

Step-by-step explanation:

Answer:

[tex]6(2b - 4) \\ b = 5 \\ 6(2 \times 5 - 4) \\ = 6(10 - 4) \\ = 6(6) \\ = 36 \\ thank \: you[/tex]

Answer:

6(2b-4) when b = 5 is 36

Step-by-step explanation:

[tex]6(2b-4)\\6(2(5)-4)\\6(10-4)\\6(6)\\36\\[/tex]

Answer:

70

Step-by-step explanation:

Answer:

x=2, x=1

Step-by-step explanation:

let's solve :

let's take

[tex]2 {}^{2x} = y[/tex]

now,

if y = 16, then :

and if y = 4 :

hence, value of x = 1 or x = 2

Answer:

i am not sure bi it may be 2

Answer:

130%

Step-by-step explanation:

Use the formula for percent change: difference = % * original price

To find the difference, you have to do 299 - 130, which is 169.

The original price is $130 because this is the price before it rose to $299.

Now, you have the equation 169 = % * 130.

We don’t know the percentage right? No, so we have to find the percentage by dividing 169 by 130, which gives you 1.3. Lastly turn 1.3 into a percentage by multiplying 1.3 by 100, and 1.3 as a percentage is 130%. So therefore, the percent increase is 130%.

130%

Step-by-step explanation:

Yesterday = $130.

Today = $299 .

((final price - initial price)/(initial price)) × 100%

= (($299 - $130)/$130) × 100%

= ($169/$130) × 100%

= $1,3 × 100%

= 1,3 × 100%

= 130%

The domain of a function is the set of possible input value, the function can take.

The domain is [0,10]

The given parameters are:

[tex]Flat\ Fee = 15.25[/tex]

[tex]Rate = 3.45[/tex]

So, the function f(x) is:

[tex]f(x) = Flat\ Fee + Rate \times x[/tex]

[tex]f(x) = 15.25 + 3.45 \times x[/tex]

[tex]f(x) = 15.25 + 3.45x[/tex]

Because x represents the number of orders, the value of x cannot be negative.

The teacher budgets $49.75.

This means that: f(x) = 49.75

So, we have:

[tex]49.75 = 15.25 + 3.45x[/tex]

Collect like terms

[tex]49.75 - 15.25 = 3.45x[/tex]

[tex]34.5 = 3.45x[/tex]

Divide both sides by 3.45

[tex]10 = x[/tex]

Rewrite as

[tex]x = 10[/tex]

Hence, the domain is [0,10]

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Answer:

C.17 years old

Step-by-step explanation:

consecutive means that they come after each other

17+16+15=48

Answer: 300km

Step-by-step explanation:

The question is how long will he go in 3 hours and 45 minutes.

3 hours and 45 minutes is equal to 3.75 house 45/60=3/4 75/100=3/4

So multiply 3.75 by 80 for 300

Hope this helps!

Please mark Brainliest!

Answer:

The answer would be W < - 18

Answer:

The slope of this graph is 1. Well, 1/1 is equal to 1 so I think you should just put 1 as your answer.

Step-by-step explanation:

Answer:

1. 19/21 which is closest to 1

2. 1 hour , 1 hour , 2 hours

3. 19/21

4. 11/15

5. second statement is correct ( should be

closer to 1/2)

6. 7/10+2/5+3/4= 37/20

7. 3/4 +7/8+5/6= 59/20

8. 3/5 + 7/8+3/10= 71/40

The amount charged is an illustration of a linear equation.

Tina charges $39 for 4 hours

The given parameters are:

[tex]Base = 15[/tex] --- amount charged for the first hour

[tex]Rate = 8[/tex] --- amount charged for the extra hours

If Tina babysits for 4 hours, it means that:

So, the total charges is:

[tex]Total = 15 + 3 \times 8[/tex]

[tex]Total = 15 + 24[/tex]

[tex]Total = 39[/tex]

The ordered pair is (4,39)

It means that:

She charges $39 for 4 hours

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Answer: E

Step-by-step explanation: An integer  is a whole number ( that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and -3. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.

Answer:m^3/2

Step-by-step explanation: You add the exponents when you multiply.

Answer:

yes the first answer hope you get it right

Answer:

27/4 or 6 3/4

Step-by-step explanation:

Change all mixed numbers into improper fractions

2 1/9 = 19/9

6 1/4 = 25/4

19/9 ÷ 2/3 - 25/4 x 2/5

dividing fractions you can multiply and use reciprocal of the fraction (means you switch the top and bottom numbers)

19/9 x 3/2 - 25/4 x 2/5

you can reduce the top and bottom numbers to make them smaller by dividing. find a common number to divide them by, you can cross out the numbers and just put the new equation below

19/3 x 1/2 - 5/4 x 2/1

multiply across the fractions first PEMDAS, then subtract

19/6 - 10/4 (multiply by 2 and 3 respectively to get both bottom numbers the same, multiply by the same number on top)

57/12 - 30/12 = 27/12

1/5 x 1/3 + 2/5 x 2/3

1/15 + 4/15 = 5/15 or 1/3

27/12 / 1/3

you can multiply the fractions and flip the top and bottom numbers of 1/3

27/12 x 3/1

reduce 12 and 3

27/4 x 1/1 = 27/4 or 6 3/4

Answer:

4.5

Step-by-step explanation:

Use a proportion.

3 3/8 = 3.375

9 inch is to 12 hours as 3.75 inches is to x hours.

9/12 = 3.375/x

3/4 = 3.375/x

3x = 4 * 3.375

x = 4 * 1.125

x = 4.5

Answer: 4.5 hours

Using rate if a 9-inch candle burns down in 12 hours, the amount of hours  it have burned 3 ³/₈ inches is 4 ¹/₂ h

Rate is the amount per unit time of a substance

Since a 9-inch candle burns down in 12 hours. To determine after how many hours will it have burned 3 ³/₈ inches, we proceed as follows.

.

First, we calculate the rate at which it burns which is given as r = Length of candle/time

Since

Substituting the values of the variables into the equation, we have that

r = Length of candle/time

r = 9 in/12 h

r = 3/4 in/h

To determine how many hours it would have burned 3 ³/₈ in, we have that

rate, r = Length/time

time = Length/rate

Since

Substituting the values of the variables into the equation, we have that

time = Length/rate

= 27 in/8 ÷ 3/4 in/h

= 27/8 in × 4/3 h/in

= 9/2 h

= 4 ¹/₂ h

So, it will have burned for 4 ¹/₂ h

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