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Savatey [412]
3 years ago
15

Which function represents the new graph? The picture is on the top.

Mathematics
1 answer:
Brums [2.3K]3 years ago
6 0

y= 4+ sin(x) represents the new graph

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Find the quadratic function that fits the following data. which one function fits.
Oksana_A [137]

Answer:

C

Step-by-step explanation:

The general rule for the quadratic function is

y=ax^2+bx+c

Use the data from the table:

y(50)=130\Rightarrow 130=a\cdot 50^2+b\cdot 50+c\\ \\y(70)=130\Rightarrow 130=a\cdot 70^2+b\cdot 70+c\\ \\y(90)=200\Rightarrow 200=a\cdot 90^2+b\cdot 90+c

We get the system of three equations:

\left\{\begin{array}{l}2500a+50b+c=130\\ \\4900a+70b+c=130\\ \\8100a+90b+c=200\end{array}\right.

Subtract these equations:

\left\{\begin{array}{l}4900a+70b+c-2500a-50b-c=130-130\\ \\8100a+90b+c-2500a-50b-c=200-130\end{array}\right.\Rightarrow \left\{\begin{array}{l}2400a+20b=0\\ \\5600a+40b=70\end{array}\right.

From the first equation

b=-120a

Substitute it into the second equation:

5600a+40\cdot (-120a)=70\Rightarrow 800a=70,\\ \\ a=\dfrac{7}{80},\\ \\ b=-120\cdot \dfrac{7}{80}=-\dfrac{21}{2}=-10.5

So,

2500\cdot \dfrac{7}{80}+50\cdot (-10.5)+c=130\Rightarrow 218.75-525+c=130\\ \\c=130-218.75+525=436.25

The quadratic function is

y=\dfrac{7}{80}x^2-10.5x+436.25\\ \\y=0.0875x^2-10.5x+436.25

4 0
3 years ago
PLEASE HELP!! NO LINKS!! GIVING 20 POINTS AWAY!!
Kruka [31]

Answer:

m∠N = 32°

NQ = 106°

When finding inscribed angles like ∠N with the intercepted arc, the equation is ∠N=1/2MP. (Inscribed angles are always half the degree of the arc length.) Plug in the corresponding value to get ∠N=1/2(64) to get 32°. When finding the angle of the intercepted arc with inscribed angles like NQ, the equation is NQ=2(∠P). Plug in the corresponding value to get 2(53) to get 106°.

5 0
3 years ago
Read 2 more answers
The credit remaining on a phone card (in dollars) is a liner function of the total calling time made with the card (in minutes)
Brrunno [24]

Answer:

Remaining credit = $11.36 [11 dollars and 36 cents]

7 0
3 years ago
Suppose you have 20 coins that total $4.00. Some coins are nickels and some are quarters. Which of the following pairs of equati
crimeas [40]
A. n+q=45n+25q=20. That should be the correct answer
5 0
3 years ago
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If 16 key chains cost cost $19.68 how much do 25 key chains cost
Vsevolod [243]
We know how much 16 keychains is, now we need to find how much one is.

19.68 / 16 = $1.23

$1.23 is the price of one keychain, now you can multiply that by 25 to see how much 25 keychains cost.
6 0
3 years ago
Read 2 more answers
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