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3 years ago

Graph the function Need help ASAP plz

Mathematics

1 answer:

sattari [20]3 years ago

5 0

Given:

The equation of a function is

$y=(x-4)^2+1$

To find:

The graph of the given function.

Solution:

The vertex form of a parabola is

$y=(x-h)^2+k$ ...(i)

Where, (h,k) is vertex of the parabola.

We have,

$y=(x-4)^2+1$ ...(ii)

From (i) and (ii), we get

$h=4, k=1$

The vertex of the parabola is (4,1).

Now, the table of values is

x y

2 5

3 2

4 1

5 2

6 5

Plot these points on a coordinate plane and connect them by a free hand curve.

The graph of given function is shown below.

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Vitek1552 [10]

To solve this we are going to use the future value of annuity due formula: $FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]$
where
$FV$ is the future value
$P$ is the periodic deposit
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$k$ is the number of deposits per year

We know for our problem that $P=420$ and $t=15$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%: $r= \frac{10}{100} =0.1$ . Since Ruben makes the deposits every 6 months, $k=2$ . The interest is compounded semiannually, so 2 times per year; therefore, $k=2$ .
Lets replace the values in our formula:

$FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]$
$FV=(1+ \frac{0.1}{2} )*420[ \frac{(1+ \frac{0.1}{2})^{(2)(15)}-1 }{ \frac{01}{2} } ]$
$FV=29299.53$

We can conclude that the correct answer is <span>$29,299.53</span>

8 0

3 years ago

Which of the following would be a good reason to place your money into a savings account? a. You can purchase stocks with a savi

mart [117]

Answer: B. a savings account earns interest

Step-by-step explanation: Money loses value over time as the rate of inflation increases. In this scenario, when you have some money to spare, the ideal is to seek some kind of investment that earns interest.

Saving is one such option. The money in savings earns interest and is highly liquid, meaning it can be used at any time. In addition, saving is a very...

8 0

3 years ago

I’m confused on this one

GenaCL600 [577]

The slope of CD is

$m = \dfrac{6 - -4}{2 - 0} = 5$

The slope of the perpendicular bisector is the negative reciprocal,

$n = -1/m = - \dfrac 1 5$

The perpendicular bisector passes through M, the midpoint of CD

M =( (0+2)/2, (-4 + 6)/2) = (1, -1)

So point slope form for the perpendicular bisector is

$y - -1 = - \frac 1 5(x - 1)$

Solving for y gives slope intercept form.

$y = - \frac 1 5 x - \frac 4 5$

Not sure how to type that without spaces; we didn't have online homework back then.

Answer: y=(-1/5)x-4/5

3 0

3 years ago

F(x)=-2x-1 and g(x)=x^2-1. Find (fog)(-5).

serg [7]

Answer: - 49

Step-by-step explanation:

f(x) = -2x - 1

g(x) = $x^{2}$ - 1

fg(x) = f ( $x^{2}$ - 1) , we just put in the value of g(x) , the next thing is to substitute $x^{2}$ - 1 for the value of x in f(x) , that is

fg(x) = -2( $x^{2}$ - 1) - 1

fg(x) = -2 $x^{2}$ + 2 - 1

fg(x) = -2 $x^{2}$ + 1

Therefore : fg(-5) means we will substitute -5 for x in fg(x) , that is

fg(-5) = -2 ( $(-5)^{2}$ + 1

fg(-5) = -2(25) + 1

fg(-5) = -50 + 1

fg(-5) = -49

7 0

3 years ago

What number is 25% of 180

TiliK225 [7]

'what number' indicates an unknown value we can represent with 'x'

'is' indicates an equal sign.

25% = 0.25

'of' indicates multiplication.

x = 0.25 * 180

x = 45

4 0

3 years ago

Read 2 more answers