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alexira [117]
3 years ago
15

How is the graph of y=2x^2+3 different from the graph of y=x^2-9x+20 shown below?

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

○ The graph of y = -2x² + 3 opens downward and is shifted up.

Step-by-step explanation:

According to the Quadratic Equation, <em>y = Ax² + Bx + C</em>, <em>C</em><em> </em>acts<em> </em>like a y-intercept, and in this case, since both graphs shift up [because both are positive values], we do not pay attention to those. Now, we come over to our <em>A</em>, which makes a BIG difference because both graphs open in opposite directions [one negative, one positive]. With this being stated, we have our answer.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

** Extended information on Parabolas

Opens down → -A

Opens up → A

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Barbara deposited $300 in the bank. If the bank pays her simple interest at the rate of 4 percent per year, how much money will
grigory [225]

Answer:

309

Step-by-step explanation:

The formula for simple interest is

A = P(1 + rt)

where A is the amount of money in the account

P is the principal invested

r is the interest rate in decimal form

t is the time invested in years

We know

P = 300

r = 4% = .04

t = 9 months = 9 months * 1 year/12 months = .75 year

Substituting into the equation

A = 300(1 + .04*.75)

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  =300(1.03)

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4 0
3 years ago
Without solving determine the number of real solutions for each quadratic equation
snow_lady [41]

Step-by-step explanation:

b^2-4b+3=0

b²-3x-b+3=0

b(b-3)-1(b-3)=0

(b-3)(b-1)=0

either

b=3 or b=1

.

2n^2 + 7 = -4n + 5

2n²+4n+7-5=0

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2(n²+2n+1)=0

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:.n=-1

.

x - 3x^2 = 5+ 2x - x^2

0=5+ 2x - x^2-x +3x^2

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comparing above equation with ax²+bx +c we get

a=2

b=1

c=5

x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1

={-1±√-39}/2

8 0
3 years ago
Plz help with this question 10 points plz
Elodia [21]

9514 1404 393

Answer:

  (d)  x = 14√3; y = 14

Step-by-step explanation:

The side length ratios in a 30°-60°-90° triangle are 1 : √3 : 2. That is, the short side (y) is half the length of the hypotenuse (28). Only one answer choice matches ...

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5 0
3 years ago
Y=1/4 x 2^x<br> kkkkkkkk
levacccp [35]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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For each of the -3.3 trials, and in the same sequence in which you entered the freezing points, enter your calculated values for
dedylja [7]

Answer:

The morality of the solution is calculated as 0.859 m. We are required to determine the freezing point depression constant of pure water. The freezing point depression of the solution is given as

T_{f}  = T_{p}  -T_{s} = K_{f} * (morality of solution)

T_{p} and T_{s} are the freezing points of the pure solvent (water, 0°C) andK_{f} = freezing point depression constant of water. Therefore,

T_{f}  = K_{f} *(0.859 m)

=====> (0°C) – (3.00°C) = K_{f}  *(0.859 m)

=====> -3.00°C = K_{f}  *(0.859 m)

Ignore the negative sign (since K_{f} is positive) and get

K_{f} = (3.00°C) / (0.859 m) = 3.492°C/m

The freezing point depression constant of the solvent is 3.5°C kg/mole  

3.5 K.kg/mole (temperature differences are the same in Celsius and Kelvin scales).

3 0
3 years ago
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