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1 year ago

Can y’all help me with ! I need correct anwsers ! Please

Mathematics

1 answer:

romanna [79]1 year ago

6 0

Answer:

Im pretty sure its B, 1.75. Not exactly sure though

Step-by-step explanation:

You might be interested in

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

2 years ago

Jessica opened a bank account that earns 2 percent interest compounded annually. Her initial deposit was $100, and she uses the

klasskru [66]

Answer:

x = 1.02.

Step-by-step explanation:

The x is a factor worked out from the annual interest written as a decimal fraction.

So we have 2% = 2/100 = 0.02.

The amount at the end of the first year is $100 + 0.02*100

= $100* 1.02, and in the second year it will be $100* 1.02^t where t = 2 and so on.

So we see that x in the given expression is 1.02.

5 0

3 years ago

Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min

alina1380 [7]

Answer:

$y=\frac{1}{2}x-2$

Step-by-step explanation:

We have been given two points on a line $(-6,-5)$ and $(-4,-4)$ . We are asked to write an equation passing through these points.

We will write our equation in slope-intercept form of equation $y=mx+b$ , where,

m = Slope of line,

b = Initial value or the y-intercept.

Let us find slope of given line using slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let point $(-6,-5)=(x_1,y_1)$ and point $(-4,-4)=(x_2,y_2)$ .

$m=\frac{-4-(-5)}{-4-(-6)}$

$m=\frac{-4+5}{-4+6}$

$m=\frac{1}{2}$

Now, we will substitute $m=\frac{1}{2}$ and coordinates of point $(-6,-5)$ in slope-intercept form of equation as:

$-5=\frac{1}{2}*(-6)+b$

$-5=-3+b$

$-5+3=-3+3+b$

$-2=b$

Upon substituting $m=\frac{1}{2}$ and $b=-2$ in slope-intercept form of equation, we will get our required equation as:

$y=\frac{1}{2}x-2$

Therefore, our required equation would be $y=\frac{1}{2}x-2$ .

8 0

2 years ago

1 Point

Paha777 [63]

Answer:

Step-by-step explanation:

$f(x)=5^{3x}$

Horizontal asymptote: y = 0

Exponential growth.

5 0

2 years ago

Which number is closest to 1/2

noname [10]

Answer:

0.56

it's basically the number closest to 50. Don't get tricked by the 0.05 because that's only 5% not 50%

8 0

2 years ago