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3 years ago

Factorising quadratics All questions please to be completed. I’m stuck.

Mathematics

1 answer:

Alex777 [14]3 years ago

5 0

Answer:

1. (x +1)(x - 1)

2. (x+5)(x-5)

3. (x+12)(x-12)

4. (x+14)(x-14)

5. (x+5)(x-7)

Step-by-step explanation:

The first 4 expressions can be factored with the difference of squares type of factoring.

For #5, the odd one out is (x+5)(x-7) because it isn't a factor of any of the standard form equations, while the others are

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Divide. −513÷234 −1256 −7512 −13133 −11112

Mashcka [7]

-513 / 234 would be -2.192

7 0

3 years ago

Read 2 more answers

A cleaning company charges a fixed amount for a house call and a second amount for each room it cleans. The total cost to clean

yanalaym [24]

Answer:

$110

Step-by-step explanation:

Let the fixed amount charged be f and the amount charged to clean a room be r.

To clean six rooms , the company would charge the following, the fixed amount for the call plus the amount charged per room multiplied by 6 which of course is 6r.

Writing this in equation form,

f + 6r = 250

In likewise manner, same applies for 8 rooms.

this gives f + 8r = 320

We now have 2 equations that we will need to solve simultaneously

f + 6r = 250........(i)

f + 8r = 320........(ii)

We subtract equation ii from I to yield

2r = 70, hence r = 70/2 = 35.

We now substitute this in equation 1

f + 6(35) = 250

f + 210 = 250

f = 250 - 210 = 40

Hence, we now know that the amount charged per call is $40 while the amount charged to clean a room is $35.

We now calculate the amount charged by the company to clean 2 rooms.

This is mathematically = f + 2r

40 + 2(35) = $110.

6 0

3 years ago

How is the quotient 80,000÷2000 different from the quotient 80,000÷200 or 80,000÷20

Olegator [25]

2,000, 200 and 20 are similar except for the number of zeros.
You can remove a zero from each to equal the number of zeros in the divisor. So 80,000 ÷ 2,000 is equivalent to 80 ÷ 2 = 40 you just remove the 3 zeros
80,000 ÷ 200 is equivalent to 800 ÷ 2 = 400 you just keep removing 0s like for instance this time it was 2 lastly 80,000 ÷ 20 only allows us to remove 1 zero 8,000 ÷ 2 = 4,000. The smaller the divisor the greater the quotient when dividing the same number like for instance in this example 80,000

3 0

3 years ago

each face of cabinet 413S is in the shape of a rectangle. What is the volume of Model 413S in cubic feet? Dimension are 24 by 72

lbvjy [14]

To calculate a volume of a rectangle prism, a cabinet we only need to multiply the dimensions it has, those are height, width, deep:
v = (24)(72)(18)
v = 31104 in^3

7 0

3 years ago

Which model represents 2 . 36 ÷ 4 ?Which model represents 2 . 36 ÷ 4 ? A. Three groups each have three tens and 4 ones. B. There

makvit [3.9K]

Answer: C. There are four groups of three tens and six ones

Step-by-step explanation:

From the options,

A. Three groups each have three tens and 4 ones.

Three tens and 4 ones equal: = (3 × 10) + (4 × 1) = 30 + 4 = 34

Therefore, 34 ÷ 3 is incorrect.

B. There are three groups of five tens and 9 ones in each group.

Five tens and 9 ones will be equal to:

= (5 × 10) + (9 × 1)

= 50 + 9 = 59

Therefore, 59 ÷ 3 is incorrect

C. There are four groups of three tens and six ones.

Three tens and six ones equal:

= (3 × 10) + (6 × 1)

= 30 + 6 = 36

Therefore, 36 ÷ 4 is correct

D. There are three groups of five tens and nine ones in each group.

Five tens and nine ones will be equal to:

= (5 × 10) + (9 × 1)

= 50 + 9 = 59

Therefore, 59 ÷ 3 is incorrect

Therefore, the correct option is C.

5 0

2 years ago