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lakkis [162]
3 years ago
13

Given the Arithmetic Sequence 9,12,15,18,21,...find the formula

Mathematics
1 answer:
Georgia [21]3 years ago
6 0

Answer:

#1

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Could someone help me for this?
lina2011 [118]

Answer:

x = - \frac{5}{3} , x = \frac{5}{2}

Step-by-step explanation:

to find the points of intersection equate the 2 equations , that is

7x - 15 = 10 + 12x - 6x² ( subtract 10 + 12x - 6x² from both sides )

6x² - 5x - 25 = 0 ← factor the quadratic on left side

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 25 = - 150 and sum = - 5

the factors are - 15 and + 10

use these factors to split the x- term

6x² - 15x + 10x - 25 = 0 ( factor the first/second and third/fourth terms )

3x(2x - 5) + 5(2x - 5) = 0 ← factor out (2x - 5) from each term

(2x - 5)(3x + 5) = 0

equate each factor to zero and solve for x

3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - \frac{5}{3}

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \frac{5}{2}

3 0
1 year ago
How do you solve 3.2x0.75
horrorfan [7]
I don't know how to explain but the answer is 2.4. 
5 0
3 years ago
What is 58.65 with a 15% tip?
11111nata11111 [884]
X/58.65 = 15/100

(58.65*15)/100 = tip
6 0
2 years ago
The line y = 2x - 16 is a tangent to the curve y = ax³ + bx at the point where x = 2. Find the value of a and of b.​
finlep [7]

I might not be right but a is 2 and b is 16

Step-by-step explanation:

7 0
3 years ago
Nathan deposited 7/9 of his allowance into his savings account. He spent the remaining amount, or $2.50. How much did Nathan dep
kati45 [8]
Let us assume that total amount of Nathan's allowance = x
Amount of money deposited by Nathan into his savings account = 7x/9
Remaining amount that Nathan spent = $2.50
Now we have to get to the equation for solving the question asked.
7x/9 + 2.50 = x
7x + (9 * 2.50) = 9x
7x + 22.50 = 9x
22.50 = 9x - 7x
22.50 =2x
x = 22.50/2
   = 11.25
So $11.25 is the total allowance of Nathan.
Then The amount of money deposited by
Nathan in savings account = (7/9) * 11.25
                                           = 78.75/9
                                           = 8.75
So Nathan deposits $8.75 in his savings account.
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5 0
3 years ago
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