MATHEMATICS HIGH SCHOOL

Solve the following linear inequality: 

3(x + 4) ≥ 5x – 123

Answers

Answer 1
Answer: 3(x+4)\geq5x-123\n3\cdot x+3\cdot4\geq5x-123\n3x+12\geq5x-123\ \ \ \ /-12\n3x\geq5x-135\ \ \ \ /-5x\n-2x\geq-135\ \ \ /:(-2) < 0\ then\
Answer 2
Answer: 3(x + 4) \geq 5x - 123 \n 3x+12\geq5x-123\n 2x\leq135\n x\leq(135)/(2)

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Leonora is incubating eggs. For the eggs to hatch, the temperature in the incubator (t) needs to be at least 77°F. Which statement represents the temperature it must be in the incubator for the eggs to hatch, in °F?

Answers

If the temperature is represented by variable T, the statement will be t ≥ 77°. Because the temperature can be greater or equal to 77°.

Given the 2 functions find (f+g)(X)

Answers

Answer:

f(x) + g(x) = -9x³ - 14x² + 2x + 7

Step-by-step explanation:

This notation (f + g)(x) just wants you to add the two functions; it's the same thing as writing f(x) + g(x).

f(x) = -6x² + 9x + 7

g(x) = -9x³ - 8x² - 7x

All you have to do now is combine like terms and simplify.

f(x) + g(x) = (-6x² + 9x + 7) + (-9x³ - 8x² - 7x)

f(x) + g(x) = -6x² + 9x + 7 + -9x³ - 8x² - 7x

f(x) + g(x) = -9x³ - 8x² - 6x² + 9x - 7x + 7

f(x) + g(x) = -9x³ - 14x² + 2x + 7

Sonny substituded 5 for x in the proportion 16/x =48/15 and cross to multiply to get 240 =240 why is this?

Answers

If x = 5 then 5*48 = 240 and 16*15 equals 240 equals eachother.

Another perspective:   Divide 16 by 5  then divide 48/15

        16/5=3.2         48/15=3.2      Hence the porportions are the same.

-7 + (-6) =

1
-13
-1
13

Answers

-7 + (-6)

-7-6

-13


So, the answer is -13.

-7+(-6)

-7-6

= -13


I hope that's help:0

Find the missing number 32/52= ?/13

Answers

the answer is 8 because if you divide 52 by 4 it gives 13, do the same to the top and you get 8
Yup the answer is 8 because if you divide 52 by 4 it gives 13, do the same to the top and you get 8

Andrew makes $6 an hour plus $9 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week.Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime. (3 points)

Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours. (3 points)

Part C: Andrew earned $330 in 1 week. How many hours (regular plus overtime) did he work?

Answers

Part A ) The equation is W = $ 6x where x ≤ 40, W is the amount of wage earned and x hours in a week when there is no overtime. 

Part B) The equation is W = $ 6*40 + $9 y =$ 240 + $9 y where y as the overtime hours = total number of hrs - 40. 

Part C) $ 240 + $9 y = $330. y is 10 hrs. Hence the total hours is 50 hrs. 
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