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quester [9]
3 years ago
10

A^2-5a+6 ((factor and solve))

Mathematics
1 answer:
Yakvenalex [24]3 years ago
7 0

Answer: a^2 - 5a + 6

(a-6)(a+1) = 0

Step-by-step explanation:

(a-6) = 0

a=6

(a+1) = 0

a = -1

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Graph the line with slope 3 passing through the point (5,-4).
12345 [234]

Answer:

y = 3x-16

Step-by-step explanation:

two points where the line goes through is (5,-4) as mentioned and (0,-16)

8 0
3 years ago
Convert the following into fractions in their simplest form
sladkih [1.3K]

Answer:

1/10

13/100

4/5

12/25

3/10

63/100

3/5

51/200

2/9

5/11

To prove the last 2 recurring ones:

0.222222... = x

10x = 10 * 0.22222... =  2.222222....

Notice how the decimal part of 10x is the same as for x:

10x - x = 2.2222222... - 0.222222... = 2

10x - x = 9x = 2

x = 2/9

Same procedure for the other one but times by 100 instead:

x = 0.454545...

100x = 45.454545...

100x - x = 45.454545... - 0.454545... = 45

100x - x = 99x = 45

x = 45/99 = 5/11

3 0
3 years ago
When solving a word problem involving many different kinds of rational numbers, what steps do you go through to make sure you ar
marshall27 [118]

Step 1. READ THE QUESTION CAREFULLY!!!!!!

Step 2. Turn the problem into equations.

Step 3. Substitute/Eliminate variables.

Step 4. Find the first variable.

Step 5. Replace the variable1 with its correct number.

Step 6. Get your variable2.

Step 7.Do steps 3-4 until you have all the variables.

Step 8. Double check.

And you are done!

7 0
3 years ago
Let FS R be a finite set. (a) Prove that F is closed (b) Prove that every point in F is an isolated point.
Lorico [155]

Answer:

a) Suppose that F is ordered in ascending order: F = \{x_1,\ldots, x_n\}. Then, the complement of F can be written as

F^c = (-\infty,x_1)\cup (x_1,x_2)\cup (x_2,x_3)\cup \cdots \cup (x_{n-1}, x_{n})\cup (x_n,+\infty)

which is the union of a finite number of open intervals, then F^c is an open set. Thus, F is a closed subset of the real numbers.

b) Take an arbitrary element of F, let us say x_k. Now, choose a real number \epsilon such that

0 there are not other element of F, because \epsilon is less that the minimum distance between x_k and its neighbors.

In case that k=1 we only consider 0, and if k=n we only consider 0.

Then, all points of F are isolated.

Step-by-step explanation:

8 0
3 years ago
Josie has $47 left on her checking account. If she writes a check for $55,
kozerog [31]

Answer:

-8

Step-by-step explanation:

47-55=-8

3 0
2 years ago
Read 2 more answers
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