1) Which of the following arithmetic sequences have a common difference of 2 1/2?

1 answer:

3 0

Answers:
1) A
2) -3

Work:
1) The answer is A because there is a common difference of 2.5 between each term, meaning that exactly 2.5 is added between each successive term of the sequence.
2) The answer is -3 because in order to get from one term to the next in the above sequence, you must subtract 3. For instance, 11-3=8, 8-3=5, and so on. Since you are subtracting the value must be negative, giving you -3.

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Owen solves the equation below and his steps are shown. When he plugged his solution back into the original equation, he did not

Usimov [2.4K]

Answer:

THE FIRST STEP in which he made an error is step 4, instead of subtracting 2x from either side of the equation, he is to add 2x to either side of the equation.

The correct value of x is 3.6

Step-by-step explanation:

To solve the given equation, we will follow the steps below;

3 (x-4) = -4 - 2 (x-5)

step 1 : open the parentheses

That is, 3x - 12 = -4 - 2x + 10

Step 2 : simplify, that is, yo can add the or subtract like terms

hence

3x - 12 = -2x -4 + 10

step 3 :

3x - 12 = -2x + 6

step 4 : Add 2x to both-side of the equations in order to nullify the 2x on the right-hand side of the equation

3x + 2x - 12 = -2x + 2x + 6

step 5:

5x - 12 = 6

step 6: Add 12 to both-side of the equation

5x - 12 + 12 = 6 + 12

step 7

5x = 18

Step 8: divide both-side of the equation by 5

5x/5 = 18/5

step 9:

x =3.6

THE FIRST STEP in which he made an error is step 4, instead of subtracting 2x from either side of the equation, he is to add 2x to either side of the equation.

That is why he got the wrong answer.

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The expression below represents the number of bacteria in a petri dish after t hours. Interpret the meaning of the expression.

konstantin123 [22]

The answer is B) The initial number of bacteria is 57, and the growth rate is 31% per hour.

The expression shown is an exponential expression. An exponential expression usually takes the form $ab^{x}$ , as this one does. A represents the initial value, in this case-the initial number of bacteria. B represents the growth rate. When it is an increasing growth rate, it will begin with 1, because it will have everything it had before, plus the percent increase, the decimal portion. In this case, a=57, and b=0.31.