Solve for x 4 - (x + 2) < -3(x + 4)

Answers

Answer 1
Answer:

Answer:

x<-7

Step-by-step explanation:

Use inverse operations to solve

4 - ( x + 2 ) < -3 ( x+ 4)

first distribute the (-) sign and the (-3)

4 -x -2 < -3x -12

simplify

2 -x < -3x -12

simplify again, with inverse operations

2 -x < -3x -12

+3x    +3x

2 + 2x < -12

-2           -2

2x < -14

/2       /2

x<-7

Answer 2
Answer:

in 4 - (x + 2) < -3(x + 4), x < -7

isolate the variable by dividing each side by factors that don't contain the variable.


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Solving EquationsIf an elephant travels for 4 hours at
6.5 mph and a giraffe travels for 2
hours at ll mph, who covers more
distance?
E. elephant
F. giraffe
G. They travel the same distance.
H. cannot be determined based on the
information provided
Q2

Answers

The elephant; 6.5 mph for 4 hours equates to 26 miles, while the Giraffe only covers 22 miles (2*11)

Final answer:

The elephant covers more distance than the giraffe.

Explanation:

To determine who covers more distance, we need to calculate the distance traveled by each animal. The distance traveled can be calculated using the formula: distance = speed × time. For the elephant, the distance is 6.5 mph × 4 hours = 26 miles. For the giraffe, the distance is 11 mph × 2 hours = 22 miles. Since the elephant covers a greater distance, the answer is E. elephant.

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A turkey was cooked at 400° F in the oven for 3 hours. The internal temperature rose from 30° F to 156° F. What was the average rise in temperature per hour?

Answers

156-30 = 126
126/3 = 42degrees Fahrenheit per hour

An office building loses a third of its heat between sundown and midnight and an additional half of the original amount of heat between midnight and 4 AM. If five-eighths of the remaining heat is lost between 4 AM and 5 AM, what proportion of the total heat loss occurs between 5 AM and sunrise?

Answers

Answer:

(1)/(16)

Step-by-step explanation:

Proportion of Heat Loss Between sundown and midnight=(1)/(3)

Proportion of Heat Loss between midnight and 4 AM  =(1)/(2)

Proportion of Total Heat Already Lost =(1)/(3)+(1)/(2) =(5)/(6)

Proportion of Remaining Heat =1-(5)/(6)=(1)/(6)

Between 4 AM and 5 AM, five-eighths of the remaining heat is lost.

Proportion of Heat Loss between 4 AM and 5 AM= (5)/(8)$ X (1)/(6) = (5)/(48)

Therefore, Proportion of Remaining Heat Left =(1)/(6)- (5)/(48)=(1)/(16)

We therefore say that:

(1)/(16)$ of the total heat loss occurs between 5 AM and sunrise.

What is the value of the expression? 8 + 2 x 3--------------
5 x 2 - 8

Answers

2 x 3                 6

-------------- =  --------  = 3

5 x 2 - 8           2

When the Chili restaurant chain was in financial trouble.its CEO directed the managers of each of the chain's restaurant to trim costs without sacrificingcustomer satisfaction.Which of the following did the CEO use to make restaurant managers accountable for cost-cutting measures?A) substitution8) transpositionC) delegation of authorityD) job sharing

Answers

Answer: Option C : delegation of authority

Step-by-step explanation:

the CEO used DELEGATION OF AUTHORITY approach to make restaurant managers accountable for cost-cutting measures in the above case.

Final answer:

The CEO of the Chili restaurant chain used the delegation of authority principle to make restaurant managers responsible for cost-cutting measures without sacrificing customer satisfaction.

Explanation:

In the situation described, the Chili restaurant chain's CEO used delegation of authority to make restaurant managers accountable for cost-cutting measures. Delegation of authority refers to the process of passing down responsibilities and decision-making power from upper to lower levels of management. In this case, the CEO entrusted the restaurant managers with the responsibility of reducing costs, while also maintaining customer satisfaction. Using this strategy, the CEO was able to shift accountability to the managers, who now have the authority to manage their resources and strategize their cost-cutting measures in a manner that would not compromise the level of satisfaction of their customers.

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Write the quadratic equation whose roots are 4
and
−1
, and whose leading coefficient is
2

Answers

2(x-4)(x+1)
Fundamental Theorem of Algebra essentially states that all polynomials can be reduced down to the product of their roots.