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2 years ago

Level 3 Solve: |x + 2|– 5 = -1

Mathematics

1 answer:

leonid [27]2 years ago

6 0

Answer:

x=−6

x=2

Step-by-step explanation:

Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.

∣x+2∣−5=−1

Add 5 to both sides of the equation.

∣x+2∣=4

Use the definition of absolute value.

x+2=4

x+2=−4

Subtract 2 from both sides of the equation.

x=2

x=−6

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lilavasa [31]

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3 years ago

Evaluate: −9^4 A) −36 B) −6,561 C) 36 D) 6,561

Mrrafil [7]

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3 years ago

Answer this question!

aksik [14]

Answer:

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Step-by-step explanation:

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2 years ago

the population P (t) of a culture of bacteria is given by P (t) =-1710t +92,000t+10,000, where t is the time in hours since the

Akimi4 [234]

The question might have some mistake since there are 2 multiplier of t. I found a similar question as follows:

The population P(t) of a culture of bacteria is given by P(t) = –1710t^2+ 92,000t + 10,000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.

Answer:

27 hours

Step-by-step explanation:

Equation of population P(t) = –1710t^2+ 92,000t + 10,000

Find the derivative of the function to find the critical value

dP/dt = -2(1710)t + 92000

= -3420t + 92000

Find the critical value by equating dP/dt = 0

-3420t + 92000 = 0

92000 = 3420t

t = 92000/3420 = 26.90

Check if it really have max value through 2nd derivative

d(dP)/dt^2 = -3420

2nd derivative is negative, hence it has maximum value

So, the time when it is maximum is 26.9 or 27 hours

5 0

2 years ago

Murphy loves pistachio nuts. Every saturday morning, she walks to the market and buy some. Last week, she bought two pounds and

Alexxx [7]

Question is Incomplete, Complete question is given below,

Murphy loves pistachio nuts. Every Saturday morning, she walks to the market and buys some. Last week, she bought two pounds and paid $7.96, and this week she bought only one-half pound and paid $1.99. What the unit rate for pistachio nuts?

Answer:

The unit rate for pistachio nuts is $3.98.

Step-by-step explanation:

Given;

Price of 2 pounds of pistachio nuts = $7.96

We need to find the price of 1 pound of pistachio nuts.

To find the same we will use the unitary method,

Hence ,

Price of 1 pound of pistachio nuts = $\frac{\$7.96}{2} = \$3.98$

Also given:

Price of half pound of pistachio nuts = $1.99

We need to find the price of 1 pound of pistachio nuts.

To find the same we will use the unitary method,

Hence ,

Price of 1 pound of pistachio nuts = $\$1.99\times 2 = \$3.98$

Hence, The unit rate for pistachio nuts is $3.98

3 0

3 years ago