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Murljashka [212]
3 years ago
15

Write the product in its simplest form-3y.3y4Enter the correct answer.​

Mathematics
1 answer:
Sauron [17]3 years ago
5 0

Answer:

\large\boxed{-9y^5}

Step-by-step explanation:

-3y\cdot3y^4=(-3\cdot3)(y\cdot y^4)\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=-9y^{1+4}=-9y^5

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For the given pair of​ events, classify the two events as independent or dependent. finding you are out of gas finding you are o
Fiesta28 [93]
The correct answer is b; they are independent because the occurrence of one does not affect the occurrence of the other.
5 0
3 years ago
Axis of sym: x =
marta [7]

Answer:

<h2>SEE BELOW</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • quadratic function
  • PEMDAS
<h3>let's solve:</h3>

vertex:(h,k)

therefore

vertex:(-1,4)

axis of symmetry:x=h

therefore

axis of symmetry:x=-1

  • to find the quadratic equation we need to figure out the vertex form of quadratic equation and then simply it to standard form i.e ax²+bx+c=0

vertex form of quadratic equation:

  • y=a(x-h)²+k

therefore

  • y=a(x-(-1))²+4
  • y=a(x+1)²+4

it's to notice that we don't know what a is

therefore we have to figure it out

the graph crosses y-asix at (0,3) coordinates

so,

3=a(0+1)²+4

simplify parentheses:

3 = a(1 {)}^{2}  + 4

simplify exponent:

3 =  a + 4

therefore

a =  - 1

our vertex form of quadratic equation is

  • y=-(x+1)²+4

let's simplify it to standard form

simplify square:

y =  - ( {x}^{2}  + 2x + 1)  + 4

simplify parentheses:

y =  -  {x}^{2}  - 2x - 1 + 4

simplify addition:

y =  -  {x}^{2}  - 2x + 3

therefore our answer is D)y=-x²-2x+3

the domain of the function

x\in \mathbb{R}

and the range of the function is

y\leqslant 4

zeroes of the function:

-  {x}^{2}  - 2x + 3 = 0

\sf divide \: both \: sides \: by \:  - 1

{x}^{2}  + 2x - 3 = 0

\implies \:  {x}^{2} +   3x  - x  +  3 = 0

factor out x and -1 respectively:

\sf \implies \: x(x + 3)   - 1(x  + 3 )= 0

group:

\implies \: (x - 1)(x + 3) = 0

therefore

\begin{cases} x_{1} = 1 \\  x_{2}  =  - 3\end{cases}

4 0
3 years ago
0.85 in fractional notation
artcher [175]
If you would like to write 0.85 in a fractional notation, you can do this using the following steps:

0.85 = 85/100 which simplifies to 17/20 <span>(the common factor of 85 and 100 is 5, so you can divide both numbers by 5).

The correct result would be 17/20.</span>
8 0
3 years ago
Read 2 more answers
Solve The Equation, Check Your Answer 15=7x+1-5x
Morgarella [4.7K]
15=7x+1-5x


Put like terms together. ( group anything alike)

15+1=16

7x-5x=2x

16 2x
—- ——-
2x 2x


2x/2x cancels itself out.

16 divided by 2 is 8

x=8

I hope this helped!
5 0
3 years ago
Read 2 more answers
Best gets brainliest
NemiM [27]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
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