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tino4ka555 [31]
2 years ago
7

Which expression is equivalent to (3/2p+1)(1/2p+3)

Mathematics
1 answer:
podryga [215]2 years ago
8 0

Answer:

3/4p²+5p+3

Step-by-step explanation:

You might be interested in
Rewrite each expression as a polynomial in standard form.a)(x+i)(x-i)b)(x+5i)(x-5i)
Nitella [24]

Answer:

a) x² +1

b) x² +25

Step-by-step explanation:

a) (x+i)(x− i)

   = x² - ( i ) x + ( i ) x - ( i)²

   = x² -  i²                       ∵ i² = -1

   = x² -  (-1)

   = x² +1

b) (x+5 i)(x− 5i)

 = x² - ( 5 i ) x + ( 5 i ) x - ( 5 i)²

   = x² - 25 i²                       ∵ i² = -1

   = x² -  25(-1)

   = x² +25

we can also solve

using identity

   (a + b)(a - b) = a² - b²

   = (x+5 i)(x− 5i)    

   = x² - (5 i)²

   = x² - 25 i²

   = x² +25

8 0
3 years ago
Julia is opening a clothing store. She plans to start by selling sweatshirts. if it costs her $9.50 for each sweatshirt, $5 for
Lilit [14]
B is definatly the correct answer, Add all of the prices, and that is what it costs per sweatshirt
7 0
2 years ago
The third shipment weighed 10.25 times as much as the second shipment. if the third shipment weighed 15,662 pounds how much does
N76 [4]

Answer:

1528 = s

Step-by-step explanation:

15662 = 10,25s

______ _______

10,25 10,25

1528 = s

The second shipment weighs 1528pounds.

I am joyous to assist you anytime.

5 0
3 years ago
A rectangular turtle aquarium is 6 ft long by 4 ft wide. The aquarium is enlarged by increasing
My name is Ann [436]

Answer:

8ft x 6ft

Step-by-step explanation:

For this problem, we want to create measurements of length and width that double our current area.  First we need to find the current area.

C_Length = 6 ft

C_Width = 4 ft

C_Area = C_Length * C_Width

C_Area = 6 ft * 4 ft = 24 ft^2

Now we want our new area to be double the old area.

N_Area = 2C_Area

N_Area = 2 * 24 ft^2

N_Area = 48 ft^2

Now we simply need to find the increase in width and length, distributed equally, that will create the new area.

N_Area = (C_Length + x) * (C_Width + x)

Where x is the amount that each variable is increased by to create the new area.

Now we simply solve for x.

N_Area = (C_Length + x) * (C_Width + x)

48 = (6 + x) * (4 + x)

48 = 24 + 10x + x^2

0 = -24 + 10x + x^2

Now we can either apply the quadratic formula or attempt to factor using the constant break down method.

(x + 12) (x - 2) = 0

x = -12; x = 2

Note that we will choose x = 2 since the other option would require us to have negative material, which is impossible.

Now we can check to validate our answer by plugging in the value of x.

48 ?= (6 + 2) * (4 + 2)

48 ?= (8) * (6)

48 == 48

Thus, we have found the dimensions of the new aquarium, 8ft x 6ft.

Cheers.

6 0
3 years ago
The value of x is and the value of y is
storchak [24]
Since the slope is 2/3, for every time the x-value increases by 1
the y-value increases by 2/3. 

The answer to x is found by finding the difference between 3 and 5, which is 2.
2/3 goes into that 3 times. 
So subtract 2 from -2 to get -4. 
The x-value is -4. 

The answer for the y-value is given earlier: 
the original point of (-2,5). 
The y-value is 5. 

Hope this helps!
6 0
3 years ago
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