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Brut [27]
2 years ago
12

Jamal uses factoring to find the zeros of the equation x2+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and

x=8.
Which statement BEST explains whether Jamal is correct or incorrect?

A
Jamal is correct because x2+4x−32 is equivalent to (x+4)(x−8).

B
Jamal is correct because x2+4x−32 is equivalent to (x−4)(x+8).

C
Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8).

D
Jamal is incorrect because x2+4x−32 is equivalent to (x+4)(x−8).
Mathematics
1 answer:
iris [78.8K]2 years ago
8 0

Answer:

c)

Step-by-step explanation:

x^2+4x-32 = (x-4)(x+8)

hence,

(x-4)(x+8) = 0

x = 4 or x = -8

the graph intersects at 4 not -4

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13. Mr. Wilfred used a full 2-liter bottle of liquid soap to fill two soap containers.
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A farmer was asked how many cows and chickens she has. The farmer replied, "between the cows and the chickens, there are 162 eye
Kazeer [188]
<h2>☀️ <u>Solution</u><u>:</u></h2>

We all know that,

  • All animals have 2 eyes.
  • All cows have 4 feet
  • All hens have 2 feet

So, Let the no. of cows be x and chickens be y

According to question,

  • Total number of eyes = 162

Framing equation,

⇛ Eyes of cows + Eyes of chickens = 162

⇛ 2x + 2y = 162

⇛ 2(x + y) = 162

⇛ x + y = 162/2 = 81 -----------(1)

According to question(Cond.-1)

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Framing equation,

⇛ Feet of cows + Feet of chickens = 270

⇛ 4x + 2y = 270

⇛ 2(2x + y) = 270

⇛ 2x + y = 135 ----------(2)

Subtracting eq.(1) from eq.(2),

⇛ 2x + y - (x + y) = 135 - 81

⇛ 2x + y - x - y = 54

⇛ x = 54

Putting value of x in eq.(1),

⇛ 54 + y = 81

⇛ y = 81 - 54

⇛ y = 27

⚘ So, Total number of animals,

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  • Number of chickens = y = 27

Hence, solved !!

<u>━━━━━━━━━━━━━━━━━━━━</u>

8 0
2 years ago
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