(2.1) 1. Write each repeating decimal using bar<br> notation.<br> a) 0.777 77...

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

One option in a roulette game is to bet $ 6

Eduardwww [97]

Answer:

<h2>We have 47% of chances to win those six bucks.</h2>

Step-by-step explanation:

In this problem we need to find the probabilty of winning thos $6.

According to the problem, we win $6 if we hit one red. We know that there are 18 red compartments, 18 black compartments and 2 neither red nor blakc, for a total of 38 compartments.

We need to use the standard probabilty definition which is the ratio between the number of events and the total number of outcomes. So,

$P=\frac{18}{38} \approx 0.47$

Which is equivalent to 47% of chances.

Therefore, we have 47% of chances to win those six bucks. (The Casino has the odds in their favor)

5 0

2 years ago

David bought a used Dodge Challenger for $14,000. The value of the car depreciates 11% per year from the time he bought the car.

statuscvo [17]

Answer:

V(t) = 14,000(0.89)^t

Step-by-step explanation:

Present value of the Dodge Challenger = $14,000

Present percentage value = 100%

Depreciation value = 11%

Number of years = t

Future value = V(t)

V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t

= 14,000(100% - 11%)^t

= 14,000(89%)^t

= 14,000(0.89)^t

V(t) = 14,000(0.89)^t

7 0

3 years ago

Select all of the following true statements if R = real numbers, Z = integers, and W = {0, 1, 2, ...).

Nezavi [6.7K]

Answer:

IDK THE ANSWER SORRY

Step-by-step explanation:

THAT SEEMS LIKE BULLSH*T THO

8 0

3 years ago

{fr33 p0intss 4 jay ifykyk kyky

expeople1 [14]

Answer:

yes

Step-by-step explanation:

8 0

2 years ago

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(2.1) 1. Write each repeating decimal using bar notation. a) 0.777 77...