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sleet_krkn [62]
3 years ago
14

Factor this equation , I can’t comprehend it

Mathematics
2 answers:
ivolga24 [154]3 years ago
8 0

Answer:

B) (2x + 3)(2x - 3)

Step-by-step explanation:

Use the FOIL method for each answer choice.

FOIL = First, Outside, Inside, Last

(2x)(2x) = 4x²

(2x)(-3) = -6x

(3)(2x) = 6x

(3)(-3) = -9

4x² -6x +6x  -9

Simplify. Combine like terms:

4x² (-6x + 6x) - 9

4x² - 9

4x² - 9 = 4x² - 9 ∴ B) (2x + 3)(2x - 3) is your answer

~

Advocard [28]3 years ago
5 0

Answer:

B

Step-by-step explanation:

using the method of difference of 2 squares

• a² - b² = (a + b)(a - b)

For 4x² - 9

with 4x² = (2x)² ⇒ a = 2x

9 = 3² ⇒ b = 3

4x² - 9 = (2x + 3)(2x - 3) → B


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Black_prince [1.1K]

Answer:

  • 171/40 or 4 11/40

Step-by-step explanation:

<h3>AP given</h3>
  • a + b, a - b,  ab, a/b
<h3>To find</h3>
  • 6th term
<h3>Solution</h3>

Common difference

<u>Difference of first two</u>

  • d = (a -b) - (a + b) = -2b

<u>Difference of second two</u>

  • d= ab - (a - b)

<u>Difference of last two</u>

  • d = a/b - ab

<u>Now comparing d:</u>

  • -2b = ab - (a - b)
  • ab - a = - 3b
  • a(1 - b) = 3b
  • a = 3b/(1 - b)

and

  • a/b - ab = -2b
  • a(1/b - b) = -2b
  • a = 2b²/(b² - 1)

<u>Eliminating a:</u>

  • 2b²/(b² - 1) = 3b/(1 - b)
  • 2b/(b+1) = -3
  • 2b = -3b - 3
  • 5b = - 3
  • b = -3/5

<u>Finding a:</u>

  • a = 3b/(1 - b) =
  • 3*(-3/5) *1/(1 - (-3/5)) =
  • -9/5*5/8 =
  • -9/8

<u>So the first term is:</u>

  • a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

<u>Common difference:</u>

  • d = -2b = -2(-3/5) = 6/5

<u>The 6th term:</u>

  • a₆ = a₁ + 5d =
  • -69/40 + 5*6/5 =
  • -69/40 + 240/40 =
  • 171/40 = 4 11/40
8 0
2 years ago
Can someone answer this problem please
TEA [102]
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4 0
3 years ago
A chef is going to use a mixture of two brands of Italian dressing the first brand contains contains 7% vinegar and the second b
Cerrena [4.2K]

Answer:

176 of 12% vinegar

44 of 7% vinegar

Step-by-step explanation:

Percentage vinegar required = 11%

Volume = 220 mL

First brand % = 7%

Second brand % = 12%

Let p = volume of 12% vinegar material

Mixture :

0.12p + 0.07(220 - p) = 220 * 0.11

0.12p + 15.4 - 0.07p = 24.2

0.05p = 8.8

p = 8.8 / 0.05

p = 176

176 of 12% vinegar and

220 - 176 = 44

44 of 7% vinegar

4 0
2 years ago
Im in summer school and i need to pass this please help me
andreev551 [17]

g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.

<h3>Which statement compares the graph of the two functions?</h3>

First, a vertical shift of N units is written as:

g(x) = f(x) + N

  • if N > 0 the shift is upwards.
  • If N < 0 the shift is downwards.

A horizontal shift of N units is written as:

g(x) = f(x + N).

  • if N < 0, the shift is to the right.
  • If N > 0, the shift is to the left.

In this case, we have:

g(x) = f(x + 8) + 4

So g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.

If you want to learn more about translations:

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8 0
1 year ago
A hunter spots a bird on a branch of a tree 8m high. If the hunter is 6m away from the foot of the tree. Find the length between
forsale [732]

Answer:

The length is 2m

Step-by-step explanation:

Subtract the distance of the hunter and the bird and you have your answer, 2 meters

5 0
3 years ago
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