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3 years ago

What is the intermediate step in the form (x + a)2 = b as a result of completing the

Mathematics

1 answer:

Eddi Din [679]3 years ago

8 0

Answer:

(x + 7)^2 = 64

Step-by-step explanation:

x^2 + 23x – 19 = 9x - 4

x^2 + 23x - 9x = -4 + 19

x^2 + 14x = 15 = 0

Completing the square:

(x + 14/2)^2 - (14/2)^2 = 15

(x + 7)^2 - 49 = 15

(x + 7)^2 = 64

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A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products.

AnnyKZ [126]

Answer:

Paasche's Index= 168.63= 169

Step-by-step explanation:

Products

Base-Period Current Period

Quantities Mean Shipping Quantities Mean Shipping

(Year 1) Cost per Unit ($) (Year 5) Cost per Unit ($)

A 1,500 10.50 4000 15.90

B 5,000 16.25 3000 33.00

C 6,500 12.20 8000 18.40

D 2,500 20.00 3000 35.50

Paasche's Index= ∑ pn.qn/∑po.qn* 100

Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.

Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.

Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.

Product pn.qn po.qn

A 15.90* 4000 10.50* 4000

= 63600 =42000

B 33.00*3000 16.25 * 3000

= 99000 = 48750

C 18.40* 8000 12.20 *8000

=147200 =97600

D 35.50* 3000 20.00*3000

=106500 60,000 

∑ 416300 248350

Paasche's Index= ∑ pn.qn/∑po.qn= 416300/ 248350 *100 = 1.676=1.68= 168.63= 169

7 0

3 years ago

the perimeter of a rectangle is 70m. What are the dimensions that will produce the maximum area of such a rectangle

rusak2 [61]

Answer:

17.5, divide 70 by 4

Step-by-step explanation:

what i said above

3 0

3 years ago

Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500 mL of sauce. Raphael's tomato sauce has 12 cloves of g

ivolga24 [154]

Answer:

Emiy would think that it is not the perfect tomato sauce because it has 12 cloves of garlic in every 900 mL of sauce and it should have 14.4 cloves of garlic in every 900 mL of sauce to be perfect.

Step-by-step explanation:

The statement indicates that for Emily the perfect tomato sauce have 8 cloves of garlic in every 500 mL. With that we can calculate the amount of cloves of garlic that a tomato sauce should have for Emily to consider it to be perfect using the rule of three:

8 cloves of garlic → 500 mL

x ← 900 mL

x= (8*500)/900= 14.4

According to this, the perfect tomato sauce would need to have 14.4 cloves of garlic in every 900 mL. As Raphael's tomato sauce only has 12, it means that Emily would think that it is not the perfect tomato sauce.

7 0

3 years ago

Which describes the relationship between 15,700 and 157,000? A 15,700 is 1/10 of 157,000 B 157,000 is 1/10 of 15,700 C 15,700 is

viva [34]

Answer: 15,700 is 1/10 of 157,000 (A)

Step-by-step explanation:

The relationship between 15,700 and 157,000 is that 15,700 is 1/10 of 157,000

1/10 × 157,000 = 15,700

A 15,700 is 1/10 of 157,000

= 1/10 × 157,000

= 15700 (Correct)

15700 equals 15700

B 157,000 is 1/10 of 15,700

= 1/10 × 15700 = 1570 (Wrong)

1570 is not equal to 157000

C 15,700 is 1/100 of 157,000

= 1/100 × 157,000 = 1570 (Wrong)

1570 is not equal to 15700

D 157,000 is 1/100 of 15,700

1/100 × 15700 = 157 (Wrong)

157 is not equal to 157000

5 0

3 years ago

The quotient of a number and -5 decreased by 9 is 2

bija089 [108]

Answer:

n/-5 - 9 = 2

Should be the correct answer.

3 0

3 years ago