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slava [35]
3 years ago
11

Simplify completely quantity 12 x plus 36 over quantity x squared minus 4 x minus 21 and find the restrictions on the variable..

Mathematics
2 answers:
Vesna [10]3 years ago
4 0
The answer is 12/x-7, x ≠ 7, x ≠ −3
Softa [21]3 years ago
3 0
To simplify the expression stated, it is better to write it in the numerical form. The statement is:

<span>quantity 12 x plus 36 over quantity x squared minus 4 x minus 21

The numerical form is:

12x+36 / (x</span>²-4x-21)

Simplifying,
12x+36 / (x<span>²-4x-21)
</span>12 (x+3) / (x+3)(x-7)

We can cancel the x+3 term, leaving only:
12/(x-<span>7)</span>
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Solve - pv + 40 &lt; 65 for v<br> solve 7w - 3r = 15 for r
Katarina [22]

Answer:

v > -25/p

r = -5 +7/3 w

Step-by-step explanation:

- pv + 40 < 65

Subtract 40 from each side

- pv + 40-40 < 65-40

-pv < 25

Divide each side by -p  (remember to flip the inequality since we are dividing by a negative)

-pv/-p > 25/-p

v > -25/p


7w - 3r = 15

Subtract 7w from each side

7w-7w - 3r = 15-7w

-3r = 15-7w

Divide by -3

-3r/-3 = (15-7w)/-3

r = -5 +7/3 w

8 0
3 years ago
Jacob wanted to know what the most popular sneakers brand was for his classmates. His class had 30students. To save time he aske
Galina-37 [17]
No. This is not random sampling as the students chose are not chosen at random. Random sampling would be something done where each sample has equal probability of being chosen. Clearly this is not random sampling.
7 0
3 years ago
Help me... :/<br><br> Find the measure of each exterior angle of a regular 45-gon.
GuDViN [60]

Answer:

7740° / 45

Step-by-step explanation:

The sum of the interior angles is given by this formula: (n - 2) * 180°. So a regular 45-gon would have interior angles that add up to: (45 - 2) * 180°. = 43 * 180°. = 7740°. Now divide that by the 45 angles to find the measure of one interior angle

hope that helped :(

7 0
3 years ago
Each week your parents give you $5.25 for doing chores. After saving your money for
Naya [18.7K]

Answer:

$49.55

Step-by-step explanation:

multiply 5.25 by 12 then subtract thetnumber by 13.45

3 0
3 years ago
Read 2 more answers
In the given figure find the value of x and y?<br>Show you works - Thank you!​
Vaselesa [24]

<u>EXPLANATION</u><u>:</u>

In ∆ ABC , ∠ABC = 40°

  • ∠CAB = x°
  • & ∠ACD = 50°

∠ACD is an exterior angle formed by extending BC to D

We know that

The exterior angle of a triangle formed by extending one side is equal to the sum of the opposite interior angles.

∠ACD = ∠CAB + ∠ABC

⇛50° = x° + 40°

⇛x° = 50°-40°

<h3>⇛x° = 10°</h3>

and

In ∆ ACD , AC = CD

⇛ ∠CDA = ∠CAD

Since the angles opposite to equal sides are equal.

Let ∠CDA = ∠CAD = A°

We know that

The sum of all angles in a triangle is 180°

In ∆ ACD,

∠CDA +∠CAD + ∠ACD = 180°

A°+A°+50° = 180°

⇛2A°+50° = 180°

⇛2A° = 180°-50°

⇛2A° = 130°

⇛A° = 130°/2

⇛A° = 65°

now,

∠CDA = ∠CAD = 65°

∠BAC + ∠CAD+y = 180°

Since angles in the same line

10°+65°+y = 180°

⇛75°+y =180°

⇛y = 180°-75°

<h3>⇛y = 105°</h3>

<u>Answer</u><u>:</u> Hence, the value of “x” & “y” will be 10° and 105° respectively.

4 0
3 years ago
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