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lubasha [3.4K]
3 years ago
13

Compute 2/3 x 1/3 + 1/3 (3 + 1/3) and express your answer as a mixed number. (Note that 3 1/3 should be read as a mixed number).

Mathematics
1 answer:
Dominik [7]3 years ago
4 0

Answer:

1 1/3

Step-by-step explanation:

First, distribute the parenthesis.

Second, multiply the fractions.

Third, add the 2 values together to get your answer in improper form.

Lastly, turn the improper fraction into mixed form.

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NO LINKS!!! Please help fill in the blanks. Part 7a.​
inysia [295]
<h3>Answer: Check out the screenshots below.</h3>

=========================================

Explanations:

Part 1

For the first box, we use the log rule that log(A)+log(B) = log(A*B)

Then in the second box, we'll convert to exponential form. The logs are assumed to be base 10.

The third box then factors and uses the zero product property.

----------------------------

Part 2

We check each solution generated in part 1.

Plugging x = 5/3 will lead to the same number on each side. Therefore, x = 5/3 is a true solution.

In contrast, plugging x = -2 leads to a false equation. Recall that the domain of y = log(x) is x > 0. This means we cannot replace x with negative numbers. The value x = -2 is extraneous.

----------------------------

Part 3

There's not much to explain here that isn't already done so on the screenshot below.

6 0
3 years ago
Which graph represents the following piecewise defined function?
kenny6666 [7]
The correct answer is shown in attached figure
To find the correct graph, we should study the continuity of the function

Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2

Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3


From the previous results the correct graph is the last as shown in attached graph.



5 0
3 years ago
Read 2 more answers
SOMEONE PLEASE HELP ME!
Margarita [4]
36 over 25 is the answer Give the other person brainiest    Thank U!
8 0
3 years ago
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Sawyer’s mom paid $1.50 for a 3/4 pound box of cereal. How much is that per pound? Question 4 options: $1.50 $1.75 $2.00 $2.50
Lynna [10]
The answer is $2.00, cause it's 50¢ a quarter.
8 0
3 years ago
Read 2 more answers
A public library has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2.5 feet. The heigh is 4 feet. How m
topjm [15]

sides 2 * 6 * 4 =48 and 6*4=24

bottom 6*2.5 =15

2.5*4=10

10*2=20 that's the area of 2 smaller sides

Step-by-step explanation:

we add up the dimensions together 48+20+15=83

so the final equation becomes (6*2.5)+2(2.5*4)+2*(6*4)=83

8 0
2 years ago
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