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Vsevolod [243]
3 years ago
7

1. The area of a square with side length x, where the side length is decreased by 3, the area is

Mathematics
1 answer:
Murljashka [212]3 years ago
6 0

Answer:

2x^2-12x+22

Step-by-step explanation:

Let's follow what the problem asks us:

  • "The area of a square with side length x"

this is the formula for area: area=side*side=side^2

since the side length is x, the initial area is: x^2

  • Now, "where the side length is decreased by 3":

The side is now (x-3), thus the area is: (x-3)^2=x^2-6x+9

  • "the area is multiplied by 2"

we had the area x^2-6x+9, when we multiply by 2:

(2)(x^2-6x+9)=2x^2-12x+18

  • And finally " then 4 square units are added to the area.​"

this is: 2x^2-12x+18 + 4=2x^2-12x+22

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202 because you can round it to 200
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Explain in a minimum of 2 sentences how to graph the equation of the absolute value function given a vertex of (-1,3) and a valu
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The Maine Public Health Department reported that there have been 90 flu cases requiring hospitalization in Portland, ME (populat
Zigmanuir [339]

Answer:

The prevalence rate of flu cases requiring hospitalization thus far in 2018 is:

= 0.13%

Step-by-step explanation:

a) Data and Calculations:

Population of Portland, ME = 70,000

Number of flu cases requiring hospitalization on February 1st, 2018 = 43

Number of flu cases requiring hospitalization on July 4th, 2018 = 90

The prevalence rate of flu cases requiring hospitalization thus far in 2018 = 90/70,000 * 100 = 0.13%

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3 0
3 years ago
You invested $19,000 in two accounts paying 4% and 8% annual interest, respectively.
saveliy_v [14]

Answer:

$9000 at 4$

and

$10000 at 8%

Step-by-step explanation:

Let's assume that "x" is the amount deposited in the 4% account and "y" is the amount deposited in the 8% account.

Recall the formula for interest as : I= P * R *t

where I is the interest, R is the annual rate of interest and t is the number of years.

Since there are two investments, we need to add both interests at the end of the one year: I1 = x (0.04) (1) = 0.04 x   and   I2 = y (0.08) (1) = 0.08 y

Total Interest = Interest (from the 4% account) + Interest (from the 8% account)

Total Interest = $1160 = 0.04 x +  0.08 y

we also know that the total invested (x + y) adds to $19,000, that is:

$19,000 = x + y

Then we can solve these system of two equations by substitution, for example solving for y in the second equation and using the y substitution in the first equation;

y = 19000 - x

1160 = 0.04 x + 0.08 (19000 - x)

1160 = 0.04 x + 1520 - 0.08 x

0.08 x - 0.04 x = 1520 - 1160

0.04 x = 360

x = 360/0.04 = $9000

Then the other investment was : y = $19000 - $9000 = $10000

6 0
3 years ago
BRAINLIESTTT ASAP! PLEASE HELP ME :)
Strike441 [17]

Answer:

x = 52, y = 137 degrees.

Step-by-step explanation:

x = 180 - 90 - 38

x =  52 degrees   (as there is 180 degrees in a triangle).

As they are the same side inner angles between 2 parallel lines:

x + (y - 9) = 180

52 + y - 9 = 180

y = 180 - 52 + 9

y =  137 degrees.

3 0
3 years ago
Read 2 more answers
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