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patriot [66]
2 years ago
10

The graph of F(x), shown below, has the same shape as the graph of G(x) = x2, but it is shifted up 3 units. What is its equation

?
Mathematics
1 answer:
Aliun [14]2 years ago
5 0
For this case, the parent function is given by:
 G (x) = x ^ 2

 Applying the following transformation we have:
 Vertical displacement
 Assume k> 0,
 To graph y = f (x) + k, move the graph k units up.
 We have then:
 F (x) = G (x) + 3

F (x) = x ^ 2 + 3
 Answer:
 
the equation of F (x) is given by:
 F (x) = x ^ 2 + 3
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Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What
Zina [86]

Answer:

The total cost of the bond is none of the given choices.

Step-by-step explanation:

The selling price of a $1000 bond  =   $99.875

The brokerage fee = 5.5 %

Now, 5.5%  of $99.875 =  \frac{5.5}{100}  \times 99.875 = 5.493

So, the brokerage fee = $5.493

Now, to find out the total cost of the bond:

Total Cost  = The selling Price + Brokerage Price

                  = $99.875 + $5.493

                  =  $105.368

or, the total price of the $1000 bond is $ 105.368.

Hence,  the total cost of the bond is none of the given choices.

7 0
2 years ago
In the trapezoid ABCD ( AB ∥ CD ) point M∈ AD , so that AM:MD=3:5. Line l ∥ AB and going trough point M intersects diagonal AC a
geniusboy [140]

Answer:

BC:BN=8:3

Step-by-step explanation:

ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.

Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD

But, BC= BN+NC

Therefore, BC:BN=(BN+NC):BN

⇒BC:BN=(3+5):3

⇒BC:BN=8:3


4 0
2 years ago
A referendum failed by a vote of 36 No's and 24 Yes's. To make a pie chart of this result, what is the lesser measure in degrees
Daniel [21]
From the given number of people who voted Yes and No to the referendum, there are 60 people all in all. The fewer of which is 24 which voted as Yes. If we are to construct a pie chart and calculate the measure of the smaller angle, we take the ratio of 24 and 60 and multiply it to 360. 
      
                       measure of angle ACB = (24/60)(360)
                         measure of angle ACB = 144°

Thus, the angle measure 144°. 
3 0
2 years ago
The ice cream Palace received 3 gallons of strawberry ice cream, 5 pints of mocha ice cream, and 1 quart of vanilla ice cream to
Alina [70]
They recived 31 pints of ice cream
6 0
2 years ago
Bob Rohrman is offering a 2016 Toyota Camry for $29,000. If you have a $5,000 down payment and are able to borrow the rest at a
vova2212 [387]

Answer:

The monthly payment will be $531.12

Step-by-step explanation:

Consider the provided information.

After paying $5,000 down payment you need to pay:

$29,000-$5,000=$24,000

APR is 2.99% or APR = 0.299%

Therefore, r=\frac{0.0299}{12}

n = 48

We can calculate the monthly payment by using the formula:

P=\frac{r(PV)}{1-(1+r)^{-n}}

Where P is the monthly payment, PV is the present value, r is the rate per period and n is the number of period.

Substitute the respective values in the above formula we get,

P=\frac{\frac{0.0299}{12}(24000)}{1-(1+\frac{0.0299}{12})^{-48}}

P=\frac{59.8}{0.112593}

P\approx531.12

Hence, the monthly payment will be $531.12

4 0
2 years ago
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