What is 457 divided by 21
2 answers:
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Answer:
Step-by-step explanation:
(a + b)² =a² + 2ab + b²
(a -b)² = a² - 2ab + b²
1) y = (x -1)²
y= x² - 2*x*1 + 1
y = x² - 2x + 1
Ans: C
2)y = (x +4)² + 5
y = x² +2*x*4 + 4² + 5
= x² + 8x + 16 + 5
y = x² + 8x + 21
C
3) y = -(x + 9)²- 10
y = - [x² + 18x + 81] - 10
= -x² - 18x - 81 - 10
y =-x² - 18x - 91
B
4) y = 3(x + 2)² - 18
y =3 [x² + 4x + 4] - 18
y = 3x² + 12x + 12 - 18
y =3x² + 12x - 6
A
5) y = -2(x + 1)² - 16
= -2[x² + 2x + 1] -16
= -2x² - 4x - 2 - 16
y = -2x² - 4x - 18
A
6) y = 5(x + 5)²
=5[x²+ 10x + 25]
y = 5x² +50x + 125
A
7)y = (1/2)(x + 8)² - 8
y = (1/2) (x² + 16x + 64) - 8
A
8) y = (x + 3/2)² + 3/4
C
9) y = 2[x² + 16x + 64] - 5x
y = 2x² + 32x + 64 - 5x
y =2x² + 27x + 6
The equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)
To determine which equation gives the correct value of n, the number of GB, for which Plans A and B cost the same, we will first solve the equations.
- For the first equation
8n = 20 + 6n
Collect like terms
8n - 6n = 20
2n = 20
Then, n = 20 ÷ 2
n = 10 GB
For Plan A
No initial fee and $8 for each GB
Here, 10GB will cost 10 × $8 = $80
For Plan B
$20 for the first 2GB and $6 for each additional GB after the first 2
Here, 10GB will cost $20 + (8 × $6) = $20 + $48 = $68
∴ Plans A and B do not cost the same here.
- For the second equation
8n = 20(2n) + 6
First, clear the bracket
8n = 40n + 6
Now, collect like terms
40n - 8n = 6
42n = 6
∴ n = 6 ÷ 42
n = 1/7 GB
For Plan A
No initial fee and $8 for each GB
Here, 1/7GB will cost 1/7 × $8 = $1.14
For Plan B
$20 for the first 2GB and $6 for each additional GB after the first 2
Here, 1/7GB will cost $20 (Since the lowest cost is $20)
∴ Plans A and B do not cost the same here.
- For the third equation
8n = 20 + 6(n-2)
First, clear the brackets
8n = 20 + 6n - 12
Now, collect like terms
8n - 6n = 20 - 12
2n = 8
n = 8 ÷ 2
n = 4 GB
For Plan A
No initial fee and $8 for each GB
Here, 4GB will cost 4× $8 = $32
For Plan B
$20 for the first 2GB and $6 for each additional GB after the first 2
Here, 4GB will cost $20 + (2 × $6) = $20 + $12 = $32
Plans A and B do not cost the same here.
∴ Plans A and B do cost the same here
- For the fourth equation
8n = 20 + 2n + 6
Collect like terms
8n - 2n = 20 + 6
6n = 26
n =
n = GB or
GB
For Plan A
No initial fee and $8 for each GB
Here, GB will cost
× $8 = $34.67
For Plan B
$20 for the first 2GB and $6 for each additional GB after the first 2
Here, GB will cost $20 + (
× $6) = $20 + $14 = $34
∴ Plans A and B do not cost the same here.
Hence, the equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)
Learn more here: brainly.com/question/9371507
Answer:
³
Step-by-step explanation:
4x to 3/7 power in radical form
= ³