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topjm [15]
3 years ago
14

Equation for the given function

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
7 0

Answer:

Step-by-step explanation:

hello :

g(x) = (x+2)(x-4)/(x+2)(x-1)

1 )  this function no exist for if : x= -2 and 1

so the denominater is : (x+2)(x-1)

so : b= 2  and c=1

2) the x- intercept is : 4

so the numerater is : (x+2)(x-4)

g(x) =0 if : (x+2)(x-4)=0

means x-4=0    ...   (  x+2 ≠ 0)

note :

g(x) ≠ (x-4)/(x-1) except in the case  x ≠ -2  

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Mr Leonard wants to top-up his central heating oil tank. The oil tank can take up to 1200 litres of oil. There are already 450 l
garik1379 [7]

Mr. Leonard gets £ 45.84375 as discount

<em><u>Solution:</u></em>

The oil tank can take up to 1200 liters of oil

There are already 450 liters of oil in the tank

The remaining oil which is to be added is given by :

Remaining oil = 1200 - 450 = 750 liters

The price of oil is 81.5 p per liter

<em><u>Then calculate the total price of 750 L of oil:</u></em>

Total\ Price = 750 \times 81.5 = 61125

Thus total price is 61125 p

Mr Leonard gets a 7.5% discount on the price of the oil

Therefore,

Discount amount = 7.5 % of 61125

Discount\ amount = 7.5 \% \times 61125\\\\Discount\ amount = \frac{7.5}{100} \times 61125\\\\Discount\ amount = 0.075 \times 61125\\\\Discount\ amount = 4584.375

Thus he gets 4584.375 p

We convert p to £

1 p = 0.01£

4584.375 x 0.01 = £ 45.84375

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7 0
3 years ago
The following dot plot represents the litter size of a random sample of labrador retrievers. Which of the following statements a
Damm [24]

Answer:

ok so i could be wrong about this

Step-by-step explanation:

only four of the litters has less than six puppies, most of the litters in the sample had seven puppies, six of the litters had eight puppies.

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4 0
2 years ago
The sum of two angles is 90°. The difference of twice the larger angle and the smaller angle is 105º. The system of linear equat
denpristay [2]

Answer:

  • x = 65, y = 25

Step-by-step explanation:

<u>Given system of linear equations:</u>

  • x + y = 90
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<u>Add up the equations to eliminate y:</u>

  • x + 2x = 90 + 105
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  • x = 65

<u>Find y:</u>

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4 0
2 years ago
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4 0
2 years ago
What’s the correct answer for this?
natka813 [3]

Answer:

6

Step-by-step explanation:

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There are 6 apples, then numerator = 6

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2 years ago
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