A. x = y2 + 8y + 27
B. x = 4y2 - 8y + 43
C. x = y2 - 8y + 43
D. x = y2 + y + 15
Answer:
Option C. x = y² - 8y + 43
Step-by-step explanation:
The vertex form of the equation of a parabola is x = (y - 4)² + 27
We have to find the standard form of the equation which is in the form of x = ay² + by + c
To get the standard form of the equation we will simplify the vertex form of the equation.
x = (y - 4)² + 27
x = y² + 16 - 8y + 27
x = y² - 8y + 43
This matches with option C. x = y² - 8y + 43
The number in standard notation is 0.000643.
In scientific notation, numbers are expressed in the form of , where a is a decimal number between 1 and 10 (inclusive), and b is an integer that represents the power of 10 by which a is multiplied.
For the number :
The decimal number a is 6.43. It is greater than or equal to 1 but less than 10, as it falls within the range [1, 10).
In this case, a is 6.43.
The exponent b is -4.
This indicates that the decimal number a is multiplied by 10 raised to the power of -4.
To calculate the value of the number in standardnotation, we perform the multiplication:
Now, we can simplify the multiplication:
6.43 × 0.0001 = 0.000643
Hence, the number in standard notation is 0.000643.
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Answer:
6
Step-by-step explanation:
5(3g + 2)/2 = 50 Multiply both sides by 2
5(3g + 2) = 50*2 = 100 Remove the brackets
15g + 10 = 100 Subtract 10 ***
15g+10-10 = 100 - 10 Collect like terms.
15g = 90 Divide by 15 ***
15g/15 = 90/15
g = 6
I don't know how to cut this down so that it requires only 2 steps. I guess that the two steps marked with *** are the 2 I would choose.
Answer:
g=6
Step-by-step explanation:
We can start by multiplying both sides by 2
5(3g+2)=100
Now we can distribute the 5 by using the distributive property
15g+10=100
Then we subtract 10 from both sides
15g=90
Divide both sides by 15
g=6
x^2-6x+20=6x
Answer:
x=10 or x=2
Step-by-step explanation:
msg me if ya need step
<3, Red
Answer:
B, C, E, F
Step-by-step explanation: