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3 years ago

37-(-3)squared+30\(-3)x2

1 answer:

6 0

Simplify:
37 - (-3)^2 + 30/(-3)x^2
= 37 + - 9 + - 10x^2

Combine like terms:
= 37 + - 9 + - 10x^2
= ( - 10x^2) + (37 + - 90
= - 10X^2 + 28
Answer: - 10x^2 + 28

To Factor:
37 - (- 3)^2 + 30/- 3x^2

- 10x^2 + 28
- 2(5x^2 - 14)

Answer: - 2(5x^2 - 14)

I simplify, and factor, because, you didn't really specify what you wanted help on with this equation. - Thanks -

Hope that helps!!!!

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A trader saved $200.00 for 3 years at 12% simple interest per annum. What will be the total amount in the trader's account at th

rewona [7]

Answer:

i).272

ii. (2x-1) (3y+2)

b). 14,400 seconds

Step-by-step explanation:

in pic

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4 0

2 years ago

The Amount of sales tax on a new car varies directly to the purchase price of the car. On a 25,000 car, sales tax is 1,750. What

Gekata [30.6K]

Answer:

50,000

Step-by-step explanation:

1st car had $1,750 tax

2nd car has $3,500 tax

1750(2) = 3500

so your tax doubled so the price must be doubled.

The car is $50,000

Algebraically using direct variation:

t = kp where t=tax, p = purchase price,

and k is constant of variation

1750 = 25000k

k = 1750/25000

k = 0.07

Your equation is: t = 0.07p

3500 = 0.07p

p = 3500/0.07

p = $50,000

6 0

2 years ago

Please help me find the area of shaded region and step by step

Bumek [7]

Answer:

Part 1) $A=60\ ft^2$

Part 2) $A=80\ cm^2$

Part 3) $A=96\ m^2$

Part 4) $A=144\ cm^2$

Part 5) $A=9\ m^2$

Part 6) $A=(49\pi -33)\ in^2$

Step-by-step explanation:

Part 1) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle

The area of rectangle is equal to

$A=bh$

where

b is the base of rectangle

h is the height of rectangle

$A=(12)(7)-(8)(3)$

$A=84-24$

$A=60\ ft^2$

Part 2) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior square

The area of square is equal to

$A=b^2$

where

b is the length side of the square

$A=(12)(8)-(4^2)$

$A=96-16$

$A=80\ cm^2$

Part 3) we know that

The area of the shaded region is equal to the area of four rectangles plus the area of one square

$A=4(4)(5)+(4^2)$

$A=80+16$

$A=96\ m^2$

Part 4) we know that

The shaded region is equal to the area of the complete square minus the area of the interior square

$A=(15^2)-(9^2)$

$A=225-81$

$A=144\ cm^2$

Part 5) we know that

The area of the shaded region is equal to the area of triangle minus the area of rectangle

The area of triangle is equal to

$A=\frac{1}{2}(b)(h)$

where

b is the base of triangle

h is the height of triangle

$A=\frac{1}{2}(6)(7)-(6)(2)$

$A=21-12$

$A=9\ m^2$

Part 6) we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

The area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

$A=\pi (7^2)-(3)(11)$

$A=(49\pi -33)\ in^2$

7 0

3 years ago

Calculate the average rate of change for the given graph from x = 3 to x = 5 and select the correct answer below. parabolic func

storchak [24]

Answer:

Step-by-step explanation:

The question lacks the graph to be able to solve it, I was doing a little research and I could find the graph which I will attach:

Already with the figure we can solve the question.

We have that the average exchange rate in this case would only take the normal slope between those 2 lines

. Furthermore we know that the slope (m) is given by:

m = (y2-y1) / (x2 - x1)

From the graph we have to:

y2 = 0

y1 = 0

x2 = 5

x1 = 3

we replace:

m = (0-0) / (5 - 3)

m = 0

Therefore the average rate is 0.

5 0

3 years ago

Read 2 more answers

The sum of three consecutive numbers is 33 more than the smallest.Find the number

valina [46]

Consecutive numbers. X
X+1
X+2

Add them together. 3x + 3 = 33 + x

-3 -3

3x = 30+ x
-x. -x

2x = 30

X = 15

3 0

3 years ago