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yKpoI14uk [10]
2 years ago
6

(1) 3x + 9 and 5x + 15​

Mathematics
2 answers:
Licemer1 [7]2 years ago
6 0

Answer:

(1)3(x+3)

(2)5(x+3)

Step-by-step explanation:

(1) common taking

(2) common taking

Pachacha [2.7K]2 years ago
4 0

Answer:

x=

-12

Step-by-step explanation:

Simplifying

3x + -9 = 5x + 15

Reorder the terms:

-9 + 3x = 5x + 15

Reorder the terms:

-9 + 3x = 15 + 5x

Solving

-9 + 3x = 15 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

-9 + 3x + -5x = 15 + 5x + -5x

Combine like terms: 3x + -5x = -2x

-9 + -2x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0

-9 + -2x = 15 + 0

-9 + -2x = 15

Add '9' to each side of the equation.

-9 + 9 + -2x = 15 + 9

Combine like terms: -9 + 9 = 0

0 + -2x = 15 + 9

-2x = 15 + 9

Combine like terms: 15 + 9 = 24

-2x = 24

Divide each side by '-2'.

x = -12

Simplifying

x = -12

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Solve for the given time.
AlekseyPX

9514 1404 393

Answer:

  $319,525.64

Step-by-step explanation:

It appears you want the interest to accumulate for 15 years before you pay anything on the loan. The value of $180,000 appreciating at 3.9% annually will be ...

  $180,000·(1 +0.039)^15 = $319,525.64

If your lender allows you to wait 15 years before making any payment, your payment will be $319,525.64.

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<em>Additional comment</em>

Home loans are usually paid with monthly payments computed from the formula ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment on principal P, r is the annual interest rate, t is the number of years.

For your $180,000 loan, the monthly payment is ...

  A = $180,000·(0.039/12)/(1 -(1 +0.039/12)^(-12·15)) ≈ $1322.44

The total of those payments is ...

  180·$1322.44 = $238,039.20

If you pay $1322.44 monthly on the loan, your total payment is $238,039.20.

3 0
3 years ago
The height (h) of a fireball launched from a Roman candle with an initial velocity of 64 feet per second is given by the equatio
Zigmanuir [339]

Answer: C or 2 seconds.

Step-by-step explanation:

To find the vertex in a standard form equation: (-b/2a,f(-b/2a))

plug it in: -64/2*-32 = 2

3 0
3 years ago
You have just hired a new employee, Tim, to oversee the production of your new line of water bottles. Tim is a full-time employe
Whitepunk [10]

Answer:

  $16,640

Step-by-step explanation:

Tim's total annual wage expense is ...

  ($8.00 /h)(40 h/wk)(52 wk/yr) = $8×40×52 /yr = $16,640 per year

3 0
3 years ago
Is perpendicular to ? Explain.
olga2289 [7]
Two lines are perpendicular if and only if the product of their slopes is - 1.

So, you just need to find the slope of each line and find out the product of their slopes.

I will do one example for you.

L1: y = 3x + 5

L2: y = - 3x + 14

L3: y = -x/3 + 14

The slope of a line is the coefficient of the x.

So the slopes are:

L1: slope 3
L2: slope -3
L3: slope -1/3

So now multiply the slopes of each pair of lines:

L1 and L2: 3 * (-3) = - 9 => No, they are not perpendicular

L2 and L3: (-3) * (-1/3) = 1 => No, they are not perpendicular

L1 and L3: (3) *  (-1/3) = -1 => Yes, they are penpendicular.
6 0
3 years ago
Read 2 more answers
A. 18 is 20 percent of what number? B. 15 is 25 percent of what number? C. 12 is 30 percent of what number? D. 24 is 40 percent
3241004551 [841]

Answer:

18=x*.20

15=x*.25

12=x*.30

24=x*.40

39=x*.60

78=x*.30

Step-by-step explanation:

To solve for x on each, divide the number on the left of the equal side by the number x is being multiplied by.  For example, 18/.20=x

5 0
3 years ago
Read 2 more answers
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