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2 years ago

9

-3+9x>87 or -x-9>-17

1 answer:

Alex_Xolod [135]2 years ago

7 0

Answer:

$\large\boxed{x\in(-\infty,\ 8)\ \cup\ (10,\ \infty)}$

Step-by-step explanation:

$-3+9x>87\qquad\text{add 3 to both sides}\\\\9x>90\qquad\text{divide both sides by 9}\\\\\boxed{x>10}\to(1)\\\\-x-9>-17\qquad\text{add 9 to both sides}\\\\-x>-8\qquad\text{change the signs}\\\\\boxed{x10\ or\ x$

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3 • (4 + 5) is how much more than 3 • 4 + 5 ?

IrinaK [193]

Answer:27

Step-by-step explanation:

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3 years ago

Write an equation that is perpendicular to and 3x+y=3 whose y-intercept 5. Anyone please help me, no link just explain how to do

Liula [17]

Answer:

$y = \frac{1}{3}x + 5$

Step-by-step explanation:

By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other: $m = - \frac{1}{m_{2} }$ , or equivalently, $m_{1} * m_{2} = -1$ .

Given our linear equation 3x + y = 3 (or y = -3x + 3):

We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is $\frac{1}{3}$ .

To test whether this is correct, we can take first slope, $m_{1} = -3$ , and multiply it with the negative reciprocal slope $m_{2} = \frac{1}{3}$ :

$m_{1} * m_{2} = -1$

$-3 * \frac{1}{3} = -1$

Therefore, we came up with the correct slope for the other line, which is $\frac{1}{3}$ .

Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:

$y = \frac{1}{3}x + 5$

7 0

2 years ago

Factor completely 50a2b5 − 35a4b3 + 5a3b4

Andreyy89

The complete factorisation of 50a²b⁵ − 35a⁴b³ + 5a³b⁴ is 5a²b³(10b² - 7a² + ab)

<h3>How to factorise?</h3>

Factorisation is the process of writing an expression as a product of two or more common factors.

The expression is written as a product of several factor.

Therefore,

50a²b⁵ − 35a⁴b³ + 5a³b⁴

Hence, the complete factorisation is as follows;

5a²b³(10b² - 7a² + ab)

learn more on factorisation here: brainly.com/question/2272501

#SPJ1

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1 year ago

A boat is being towed such that the tow line is at an angle of 30° with respect to the surface of the ocean. If the boat is towe

pentagon [3]

Answer:

C. 303,000 Joules

Step-by-step explanation:

1. use abcos(theta)

a=50

b=7000

theta=30 degrees

2. (50)(7000)cos(30)=303,000

5 0

2 years ago

Read 2 more answers

A store offers a 15% discount on their pants. If the pants originally cost $30.00 what will be the discount price of the pants?

d1i1m1o1n [39]

Answer:

The pants will either be 25.50 or 4.50. Sorry I'm not sure if 15% off 30.00 is the number minus the original price or not.

Step-by-step explanation:

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2 years ago