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tatiyna
3 years ago
6

What is the coefficient for 3x2- 4x+ 1

Mathematics
1 answer:
Anni [7]3 years ago
3 0
The coefficient is the number before the variable.
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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
David waits by the crosswalk sign on his way to school. The angle outlined on the sign turns through 50 one-degree angles. Find
mamaluj [8]

Answer:

7\frac{1}{5}th turns

Step-by-step explanation:

An angle that turn through n one-degrees is said to have an angle measure of n degree.  An angle that turns through 1/360 of a circle is called a one degree angle, this is used to measure angles

:. measure of the angle turns through 50 one degree angles

= \frac{360}{50}   =  7\frac{1}{5}th turns.

4 0
3 years ago
27. TEMPERATURE Eleven Fahrenheit temperatures are shown on a map during
ser-zykov [4K]

Answer:

5 negative numbers

Step-by-step explanation:

-5 -4 -3 -2 -1 0 1 2 3 4 5

1  2  3  4  5 6 7 8 9 10 11

6 0
3 years ago
Find the value of x 15x-14y=12*y/x
nirvana33 [79]

Answer:

x=1.5 or 0.5

Step-by-step explanation:

Not sure if I am correct

3 0
3 years ago
What is the distance between the points (−7, 7) and (−7, 8) ?
Vesnalui [34]

Answer:1

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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