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natima [27]
2 years ago
6

Factor the following polynomials by finding a GCF

Mathematics
1 answer:
lana [24]2 years ago
8 0

Answer:

Step-by-step explanation:

To factor out a GCF from a polynomial we first need to identify the GCF of all the terms, this is the part that goes in front of the parenthesis, then we divide each term by the GCF, the answer is what is left inside the parenthesis. This is shown in the following examples Example 3. 4x2−20x+16 4x2 −20x16GCF is4, divide each term by4

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Find the domain of the rational function.<br><br> C(x) = x+9/X^2 -16
scoundrel [369]

Answer:

Domain = {x : x ≠ 4 , -4}  or  (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)

Step-by-step explanation:

<u>TO FIND :-</u>

  • Domain of C(x) = \frac{x + 9}{x^2 - 16}

<u>SOLUTION :-</u>

Domain of a function is a value for which the function is valid.

The function C(x) = \frac{x + 9}{x^2 - 16} is valid until the denominator is 0.

So make sure that the denominator must not be 0.

=> x^2 - 16 > 0

Find the values of x for which the denominator becomes 0. To find it , you'll have to solve the above inequality.

  • Add 16 to both the sides

=>x^2 - 16 + 16 > 0 + 16

=> x^2 > 16

=> x > \sqrt{16}

=> \boxed{x > 4} \: or \:\boxed{x > -4}

We can say that <u>4 & -4 can't be domains</u> because these values will make the function undefined.

Now try putting values of x such that -4 < x < 4. You'll observe that the function will be valid for all those values of x between -4 & 4.

<u>CONCLUSION :-</u>

The function will be valid for any value of 'x' except 4 & -4. So in :-

Interval notation , it can be written as → (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)

Set builder notation , it can be written as → {x : x ≠ 4 , -4}

6 0
3 years ago
A triangle has sides with lengths of 4, 12, and 13. Is it a right triangle
Iteru [2.4K]

Answer:

this is the anwser

Step-by-step explanation:

4 12 13 triangle

Obtuse scalene triangle.

Sides: a = 4   b = 12   c = 13

Area: T = 23.894

Perimeter: p = 29

Semiperimeter: s = 14.5

Angle ∠ A = α = 17.839° = 17°50'19″ = 0.311 rad

Angle ∠ B = β = 66.782° = 66°46'55″ = 1.166 rad

Angle ∠ C = γ = 95.379° = 95°22'46″ = 1.665 rad

Height: ha = 11.947

Height: hb = 3.982

Height: hc = 3.676

Median: ma = 12.349

Median: mb = 7.517

Median: mc = 6.144

Inradius: r = 1.648

Circumradius: R = 6.529

Vertex coordinates: A[13; 0] B[0; 0] C[1.577; 3.676]

Centroid: CG[4.859; 1.225]

Coordinates of the circumscribed circle: U[6.5; -0.612]

Coordinates of the inscribed circle: I[2.5; 1.648]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 162.161° = 162°9'41″ = 0.311 rad

∠ B' = β' = 113.218° = 113°13'5″ = 1.166 rad

4 0
3 years ago
Read 2 more answers
A square stepping stone has a side length of 10 1/4 inches.
Temka [501]

The sides of a square are all the same length.

Area = length x width.

Area = 10 1/4 x 10 1/4 = 105 1/16

7 0
3 years ago
Solve this ok um i don't know<br>​will give brainliest
Nataly_w [17]

Step-by-step explanation:

g = 28000 - 700t

because your started with 28000 gallons and every hour you have 700 less.

6 0
3 years ago
Which line has a larger slope?
nexus9112 [7]

Answer:

the one on the right looks best for the slope because the slope is a lot larger than the one on the right the one on the right is smaller but a few inches few times I don't know you might want to check it before I actually answer it for you so I hope you found this kind of helpful thank you bye

5 0
3 years ago
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