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Amanda [17]
3 years ago
15

How to factor 4x^2+24x+27​

Mathematics
1 answer:
fomenos3 years ago
3 0

Answer:

(2 x + 3) (2 x + 9)

Step-by-step explanation:

Factor the following:

4 x^2 + 24 x + 27

Factor the quadratic 4 x^2 + 24 x + 27. The coefficient of x^2 is 4 and the constant term is 27. The product of 4 and 27 is 108. The factors of 108 which sum to 24 are 6 and 18. So 4 x^2 + 24 x + 27 = 4 x^2 + 18 x + 6 x + 27 = 9 (2 x + 3) + 2 x (2 x + 3):

9 (2 x + 3) + 2 x (2 x + 3)

Factor 2 x + 3 from 9 (2 x + 3) + 2 x (2 x + 3):

Answer: (2 x + 3) (2 x + 9)

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The simple interest rate in a payment plan is 12%, and the principal amount borrowed is $10,000. Which function
asambeis [7]

Answer:

Not here

Step-by-step explanation:

F(x) = 10000 + 0.12t

7 0
3 years ago
Find the remainder when f(x) is divided by (x - k). f(x) = 3x3 - 4x2 - 3x + 14; k= 3
d1i1m1o1n [39]
Let's use synth. div.  It's so much faster in cases such as this one.

Use k = 3 as your divisor.  Then:

       ________________
  3  /   3   -4   -3     14
                 9  15      36
      -------------------------
          3     5   12     50  <= the remainder is 50.
7 0
3 years ago
American eat an average of 100 acres of pizza per year this is equivalent to 4,356,000 square feet of pizza per year how is area
Kamila [148]

Answer:

4.356 × 10⁶ square feet or 4.356 × 10⁶ ft² of pizza per year

Step-by-step explanation:

Scientific notation is a means, method or way that is used in mathematics to write very large or small real numbers in a very short form or compressed form.

Scientific notation uses exponents or 10 raised to the power of a particular number to write huge or small real number in a decimal form.

In the question, we are asked to express the area in square feet as a scientific notation.

The area = 4,356,000 square feet of pizza per year

4,356,000 square feet of pizza per year in scientific notation =

4.356 × 10⁶ square feet of pizza per year.

5 0
3 years ago
Determine if line AB is tangent to the circle.
galina1969 [7]

Answer:

<em>Is a tangent</em>

Step-by-step explanation:

<em>* Great question by the way *</em>

~ By definition, a tangent to circle is a straight line, presently perpendicular to a radius if one. In this case tangent AB should be perpendicular to the radius. If we were to call the center O, we would say AB should be perpendicular to OA. ~

1. Now let us say at the moment that AB is a tangent. If that is so, it should be that m∠A = 90 degrees ( ° ), provided AB is ⊥ to OA by definition.

2. Now the triangle ABO is a right triangle, and with that is should be that Pythagorean Theorem is applied. This can help us prove if AB is a tangent or not. If Pythagorean Theorem is not applicable it would mean ABO is not a right angle triangle, that AB is not ⊥ to OA, and thus can't be a tangent.

3. Let us say x ⇒ side OA, and that side BO = 9 + 8 + 17:

AB^2 + OA^2  =  BO^2,

15^2 + x^2 = 17^2,

<em>x = 8</em>

4. Now there are two radii present, OA is only one of them. As radii are ≅, OA = other radii, 8 = 8

5. This proves that Pythagorean Theorem is applicable, that ABO is a right triangle, that m∠A = 90°, and that by definition <em>AB is a tangent</em>

7 0
3 years ago
Find the equation for the line that passes through
Harlamova29_29 [7]

Answer: answer in pic

Step-by-step explanation:

4 0
3 years ago
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