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lawyer [7]
3 years ago
15

Write a possible equation for a polynomial whose graph has the following horizonal intercepts. Show your work.

Mathematics
1 answer:
posledela3 years ago
6 0

Answer:

A) x - 4

B) x² - 4x

C) x³ - 2x² - 8x

D) 2x³ + 3x² - 32x + 15

Step-by-step explanation:

A)

x-intercepts: x = 4

Factors:

(x - 4)

B)

x-intercepts: x = 4, 0

Factor:

(x - 0)(x - 4)

x² - 4x

C)

x-intercepts: x = 4, 0, -2

Factor:

(x - 0)(x - 4)(x + 2)

(x² - 4x)(x + 2)

x³ - 4x² + 2x² - 8x

x³ - 2x² - 8x

D)

x-intercepts: x = 3, ½, -5

Factor:

(x - 3)(2x - 1)(x + 5)

(2x² - 6x - x + 3)(x + 5)

(2x² - 7x + 3)(x + 5)

2x³ - 7x² + 3x + 10x² - 35x + 15

2x³ + 3x² - 32x + 15

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Answer:

the answer is 78 degrees

Step-by-step explanation:

a acute angle is less than 90

8 0
3 years ago
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2.<br> - 4x + 9y = 14<br> 12x – 10y = -8<br> ;<br> multiplication
NeTakaya

Answer:

Step-by-step explanation: (Equation 2) = 12(-12+9y/4) - 10y = -8

-144+108y/4 - 10y = -8

-144 + 108y - 40y/4 = -8

-144 + 108y - 40y = -32

108y - 40y = -32+144

68y = 112

Y= 1.64

2-4x+9y=14

12x-10y= -8

2-14+9y = 4x

-12 + 9y = 4x ( equation 3)

(Put in equation 2)

3 0
3 years ago
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Samantha has 4 1/2 gallons of lemonade for her daughter’s birthday party. Each gallon of lemonade contains 1.5 grams of fat. How
Lubov Fominskaja [6]

Answer:

6.75 grams

Step-by-step explanation:

Total amount of lemonade with Samantha =  4 1/2 gallons

         = (4*2 + 1)/2 gallons = 9/2 gallons = 4.5 gallons

Amount of fat in 1 gallon of lemonade = 1.5 grams

To find amount of fat in 4.5 gallons lemonade

we multiply both side of equation with 4.5

Amount of fat in 1*4.5 gallon of lemonade = 1.5*4.5  grams = 6.75 grams

Thus,

there is  6.75 grams of fat in  all the lemonade Samantha has for the party

3 0
2 years ago
The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.
denis-greek [22]
\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b

which means there is some integer k for which a+b=9k.


Because 9\mid a and 9\mid b, there are integers n_1,n_2 such that a=9n_1 and b=9n_2, and


\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42

We have 42=2\cdot3\cdot7, which means there are four possible choices of n_1,n_2:

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for a,b:

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of a+b is 117.
6 0
3 years ago
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Answer:

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3 years ago
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