Alessandro wrote the quadratic equation –6 = x2 4x – 1 in standard form. what is the value of c in his new equation?

Answers

Answer 1
Answer: Standard form for quadratic equations is:

0 = ax² + bx + c 

To make Alessandro's first equation in standard form, you must make the constant on the left side of the equation 0.

To do this, we should add 6 to each side to cancel out the -6 on the left side of the equation, making its value 0.

Alessandro's new equation is:

-6 + 6 = x² + 4x - 1 + 6

If we simplify this equation, we get:

0 = x² + 4x + 5

Therefore, knowing that the equation above is in the form ax² + bx + c, we can determine that the value of c in Alessandro's new equation is 5.
Answer 2
Answer:

Answer:

c=5

Step-by-step explanation:


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Identify the domain and the range of the function

Answers

Answer: The first

D: [-3,∞)

R: [-1,∞)

The second

D: [-3,2)

R:[-5,4]

Step-by-step explanation:

Which expression is equivalent to (–3y – x) – (5y – 8x)?–8y – 8x
–8y + 7x
2y – 7x
8y + 8x

Answers

If you would like to find the equivalent expression to (-3y - x) - (5y - 8x), you can do this using the following steps:

(-3y - x) - (5y - 8x) = -3y - x - 5y + 8x = -8y + 7x

The correct result would be -8y + 7x.

Answer:

-8y + 7x.

Step-by-step explanation:

Tyler has a rectangular garden that measures 10 m wide by 13 m long. he wants to increase the area to 208 m2 by increasing the width and length by the same amount. what will be the length (longer dimension) of the new garden?a. 14 m wide
b. 15 m wide
c. 16 m wide
d. 17 m wide

Answers

10*13=130
(10+3)(13+3)=13*16=208
The length of the new garden is the 13+3 which is 16.
So c should be the right answer.

The Wilsons have triplets and another child who is fifteen years old. The sum of the ages of their children is 36. How old are the triplets?

Answers

the answer is 37-10=27/3=9

Answer:

7

Step-by-step explanation:

The Wilsons have triplets and another child who is 15. Since their ages all add up to 36, we can first start off with subtracting 15 from 36.

36 - 15 = 21

Now we can divide the amount we have from the rest amount of kids, since they are triplets, they are 3:

21 / 3 =

7

Lin,Mac, and star spend 6$ on supplies to set up a lemonade stand they sell 21$ worth of lemonade they are going to share the money equally evaluate the expression (21-6) divided by 3 to find how much money each one will make.

Answers

each person will make $5.00.

In a circle of radius 10 cm, a sector has an area of 40(pi) sq. cm. What is the degree measure of the arc of the sector?

Answers

the main formula is 

sector area = n / 360°  x Pi r²

4 = n / 360  x  r² = n° / 36,  

144° = n

Answer:

The degree measure of the arc of the sector is 45.85 degrees\n

Step-by-step explanation:

The area of a sector is given by

(n)/(360) \pi r^(2)\n

Substituting the values in above equation, we get

40 = (n)/(360) (3.14)10^2\nn = 45.85\n