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valentina_108 [34]
3 years ago
15

1. Find the zeros of the function.

Mathematics
1 answer:
Mama L [17]3 years ago
3 0
1. f(x) = 9x² + 6x - 8
f(x) = (3x - 2)(3x + 4)
When  (3x - 2) = 0, then x = 2/3
When (3x + 4) = 0, then x = -4/3

Answer: The zeros are two divided by three and negative four divided by three.

2. f(x) = 9x³ - 45x² + 36x
  f(x) = 9x(x² - 5x + 4)
        = 9x(x - 1)(x - 4)
  When 9x = 0, then x = 0
  When (x-1) = 0, then x = 1
  When (x-4) = 0, then x = 4

 Answer: 0, 1 and 4

3. f(x) = 4(x+7)²(x-7)³
 When (x+7)² = 0, then x = -7 (twice)
 When (x-7)³ = 0, then x = 7 (thrice)

 Answer: 7, multiplicity 2; -7 multiplicity 3

4. The zeros of f(x) are √5, -√5, -7
 The factors of f(x) are (x-√5)(x+√5)(x+7)
 Note that (x-√5)(x+√5) = x² - (√5)² = x² - 5
 f(x) = (x²-5)(x+7)
       = x³ + 7x² - 5x - 35

Answer: f(x) = x³ + 7x² - 5x - 35

5. Expand (2x + 4)³
 From Pascal's Triangle, the coefficients are 1 3 3 1
 Therefore
 (2x + 4)³ = 1(2x)³(4)⁰ + 3(2x)²(4)¹ + 3(2x)¹(4)² + 1(2x)⁰(4)³
                = 8x³ + 48x² + 96x + 64

 Answer: 8x³ + 48x² + 96x + 64
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Help I don't know what to put ​
olga55 [171]

Answer:

7

Step-by-step explanation:

plug in 3 where ever there is x

so

(4(3)+2)-7

use PEMDAS to solve from left to right

P: Parenthesis

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

so we got p so we do that first

(4(3)+2) --> 4 × 3 = 12 (Multiplication first like in PEMDAS)

(12+2) = 14

so then in the equation you are left with

(14)-7 = 7

answer is 7

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3 years ago
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Answer:A

Step-by-step explanation:

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Suppose that during a test drive of two​ cars, one car travels 186 miles in the same time that the second car travels 150 miles.
nevsk [136]

<span><span>Algebra: Exponent and logarithm as functions of powerSolversLessonsAnswers archive   </span><span>
 
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<span>Answer by </span>stanbon(75310)   (Show Source):You can put this solution on YOUR website!
<span>s=square root 30df, where d represents the length of the skid marks in feet and "f" represents the drag factor of the road. A vehicle that was involved in an accident on an asphalt road was traveling at a speed of 45 mph when it started skidding. If the drag factor for asphalt is 0.75 find the length of the skid marks made by the car.
S = sqrt(30df) 
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----
45 = sqrt[(90/4)d]
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45 = (3/2)sqrt(10d)
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3 years ago
Write in scientific notation .0000345​
matrenka [14]

Answer:

I know how to do it I'ma explain it step by step.

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

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3 years ago
What’s this answer I dunno it
mamaluj [8]

Answer:

d equals 2 if that's what u need

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