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2 years ago

Simplify the algebraic expression. -2(x - 5) + 4(9 + x)

Mathematics

1 answer:

AnnZ [28]2 years ago

5 0

Answer:

2x+46

Step-by-step explanation:

-2(x-5)+4(9+x), Multiply

-2x+10+36+4x, Combine like terms

Simplified= 2x+46

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The sum of two positive numbers is 588. minimize the sum of the first and three times the second

Marianna [84]

9514 1404 393

Answer:

{587, 1}

Step-by-step explanation:

The sum will be minimized when the second number is as close to zero as is allowed. If the numbers must be positive integers, the sum is minimized when the numbers are {587, 1}.

If the numbers may be real numbers, then the values that minimize the sum are {588-, 0+}

_____

The "cost" of taking a unit from the sum 588 and assigning it to the second number is that the sum of first and 3 times the second goes up by 3. In order to minimize that sum, the second number must be minimized.

6 0

2 years ago

How would you write an equation for a non proportional table????

Bad White [126]

Answer:

i need the table

Step-by-step explanation:

But usually it has something to do with an exponent

8 0

3 years ago

Two people are driving to work at different constant speeds. The graph below shows the distance traveled over time by driver 1.

Luden [163]

Answer:

5 mph

Step-by-sep explanation:

To find of out the difference between the speed of the two drivers in miles per hour (not in miles per minute), first, calculate the unit rate or speed of driver 1 using the graph, and driver 2 using the table given.

Unit rate/speed = distance travelled/time = y/x.

Speed of Driver 1/unit rate:

The graph shows 1.5 miles (y) is travelled in 2 minutes (x).

Convert the 2 minutes to hour, you will have:

$\frac{2}{60} = \frac{1}{30} hr$

Speed in mph = $\frac{y}{x} = \frac{1.5}{\frac{1}{30}} = 1.5*\frac{30}{1} = 45$

Speed of Driver 1 in mph = 45 mph

Speed of Driver 2/unit rate:

The table shows 2.5 miles (y) is travelled in 3 minutes (x).

Convert the 3 minutes to hour, you will have:

$\frac{3}{60} = \frac{1}{20} hr$

Speed in mph = $\frac{y}{x} = \frac{2.5}{\frac{1}{20}} = 2.5*\frac{20}{1} = 50$

Speed of Driver 2 in mph = 50 mph

Difference between the speed of the two drivers = 50 - 45 = 5 mph

4 0

2 years ago

What is a situation in which you would use fractions to express a number less than 1? What is a situation in which decimals seem

Semmy [17]

so you can not make the number smaller or reduce the fraction

ex.u can not simplify 11 over 12 because 11 is a prime number

8 0

3 years ago

A= P(1+rt)<br> A= 27 and t=3 solve for r.

lianna [129]

Answer:

(27 - P) / 3P = r

Step-by-step explanation:

A = P(1 + rt)

A = 27

27 = P(1 + 3r)

27 = P + 3Pr

27 - P = 3Pr

(27 - P) / 3P = r

8 0

2 years ago