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sleet_krkn [62]
3 years ago
6

Which is the solution set of 7y +1> 8y- 9?

Mathematics
1 answer:
fomenos3 years ago
7 0

Answer:

y < 10 or (10, -∞)

Step-by-step explanation:

7y + 1 > 8y - 9

Simply get the y's on the right by subtracting 7y from both sides:

1 > y - 9

then adding 9 to both sides:

y < 10

or in interval notation:

(10, -∞)

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A paper company needs to ship paper to a large printing business. The a paper will be
eimsori [14]

Given :

A paper company needs to ship paper to a large printing business.

The paper will be shipped in small boxes and large boxes.

Each small box of paper weighs 50 pounds and each large box of paper weighs 80 pounds. A total of 19 boxes of paper were shipped weighing 1280 pounds altogether.

Find :

Determine the number of small boxes shipped and the number of large boxes shipped.

Calculations :

Let "S" be small boxes and "L" be large boxes.

Small box + Large box = 19

50S + 80L = 1280

→ 5S + 8L = 128

→ 5 (19 - L) + 8L = 128

→ 3L = 128 - 95

→ L = 33/3

→ L = 11ㅤㅤ

Finding the small box:

→ S = 19 - L

→ S = 19 - 11

→ S = 8

Therefore ,

Large boxes = 11.

Small boxes = 8.

orrrrrr

The number of small boxes is 8 and that of the large boxes is 11.

Step-by-step explanation:

Each small box of paper weighs 50 pounds and each large box of paper

weighs 80 pounds. A total of 19 boxes of paper were shipped weighing 1280 pounds altogether.

Let there are x small boxes and y large boxes.

Then,

x + y = 19 ............ (1) and

50x + 80y = 1280

⇒ 5x + 8y = 128 ............... (2)

Now, solving equations (1) and (2) we get,

5( 19 - y) + 8y = 128

⇒ 3y = 128 - 95 = 33

⇒ y = 11

Now, from equation (1) we get, x = 19 - y = 19 - 11 = 8

Therefore, the number of small boxes is 8 and that of the large boxes is 11. (Answer)

8 0
2 years ago
Find vertical and horizontal asymtope for (x^2+2x-48)/x+8
bonufazy [111]
There are none.

y=\dfrac{x^{2}+2x-48}{x+8}=\dfrac{(x+8)(x-6)}{x+8}\\\\y=x-6

The expression describes a straight line with a hole at x=-8 where it is undefined.

5 0
3 years ago
If f(x) = x² – 5, evaluate: f(x+h)-f(x)/<br> h
Likurg_2 [28]

The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.

<h3>How to find the derivative of a quadratic equation by definition of derivative</h3>

In this question we have a quadratic function, in which we must make use of the definition of derivative to find the expression of its first derivative. Then, the procedure is shown below:

f(x) = x² - 5                                         Given

f' = [(x + h)² - 5 - x² + 5] / h                Definition of derivative

(x² + 2 · x · h + h² - 5 - x² + 5) / h       Perfect square trinomial

(2 · x · h + h²) / h                                Associative, commutative and modulative properties / Existence of additive inverse

2 · x + h                                              Distributive, commutative and associative properties / Definition of division / Existence of multiplicative inverse

2 · x                                                     h = 0 / Result

The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.

To learn more on derivatives: brainly.com/question/25324584

#SPJ1

6 0
2 years ago
How do you find the leg of a triangle?
Law Incorporation [45]
If it is right triangle use pythagorean
4 0
3 years ago
At an electronics store, a $165 television is marked up 110%. Dave purchases the TV and must pay 6.5% sales tax. What is his fin
Mariana [72]
Firstly, we need to know the price of the TV after the 110$ increase.
     $165 x 1.10 = $181.50
[This is an increase of $16.50]
[1.10 is the equivalent of 110%. 1 being 100% and the .10 being 10%]

Now for the sales tax. We apply a similar method.
     $181.50 x 0.065 = $11.79
     6.5% of $181.50 is $11.79, so we add the two together to find the final cost.

The final cost of the TV is $193.29
4 0
3 years ago
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