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2 years ago

Write y=x^2-4x-1 in vertex form

Mathematics

1 answer:

Dvinal [7]2 years ago

7 0

Answer: y= (x+2)² − 5

Step-by-step explanation:

The way I got this answer is by completing the square. The first step though, when looking at this equation, is to see if we can factor it. The way to check is to look at the coefficient for x² which is 1, and the constant, in this case -1. If we multiply those together, we get −. Now we look at the middle term, 4x. We need to find any numbers that multiply to equal − 1x² and add to 4x. There aren't any, which means it is not factorable.

Hope I helped

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Write the number 45.78 trillion in scientific notation.

beks73 [17]

Without scientific notation it would look like 4 000 000 000 000 
The decimal place must be moved 12 units to the left to be after a significant figure, thus giving the scientific notation to the power of 12. The significant figure is 4 so you get the equation 4.0⋅1012.

4 0

3 years ago

10n -11 =3 + 4n + 6n

MrRissso [65]

Answer:

10n -11 =3 + 4n + 6n

10n - 10n -11 =3-3 + 4n + 6n

-11 - 3 = -10n + 4n + 6n

-14= -10n + 10n

-14 = n

Step-by-step explanation:

10n -11 =3 + 4n + 6n

10n - 10n -11 =3-3 + 4n + 6n

-11 - 3 = -10n + 4n + 6n

-14= -10n + 10n

-14 = n

3 0

2 years ago

kate pays $203 in advance on her account at the athletic club. Each time she uses the club, $9 is deducted from the account. Fin

Natasha_Volkova [10]

Answer:

Step-by-step explanation:

The equation to solving this would be 203 - (9 multiply 12). If you multiply 9 and 12 you get 108. Minus 108 from 203 and you get 95.

3 0

2 years ago

Translate the following into an algebraic expression: The number that is 40% more than five more than a number a.

cricket20 [7]

Answer:

The translation would be

X = 40% + 5 + A

Step-by-step explanation:

First, translate the words, is, more than and 'the number'.

Is means equals (=).

More Than means plus (+).

'the number' can be x.

Now, put it together.

X(The Number) =(Is) 40% +(more than) 5 +(more than) A(a number)

I hope this helps!!

5 0

3 years ago

Need help with this pls (Show work pls!!)

Aleksandr-060686 [28]

This is my first time on this app but this question doesn’t look to hard i’m ok at math but not that good at showing my work

Isosceles triangles have to equal sides

and each side is 5 cm greater than the base

you know the perimeter is 46

i would use basic algebra

x = base

46 = 2(x +5) + x

the 2(x +5) is the equal sides

46 = 2(x+5) + x

using distributive property

46 = 2x + 10 + x

add the common variable

46 = 3x + 10

now it’s easy

3x = 46 - 10

3x = 36

x = 36 / 3

x = 12

now that we got x (base)

we know that the equal sides are 5 cm longer than the base

12 + 5 = 17

since there are 2 sides and they are equal they are both 17

so each side of the triangle would be
1. 17 cm
2. 17 cm
3. 12 cm

to check you should be able to add them all together and get 46

17 + 17 + 12 = 46

7 0

3 years ago