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Yakvenalex [24]
4 years ago
14

(04.04 MC) Which is the equation of the parabola?

Mathematics
1 answer:
Reptile [31]4 years ago
4 0

Answer:

Option (2)

Step-by-step explanation:

Let the equation of the parabola represented by the curve in the graph is,

y = a(x - h)² + k

Where (h, k) is the vertex of the parabola and 'a' is the coefficients of highest degree term of the parabola.

From the graph,

Vertex of the parabola is (-3, 0) and a point (-13, -5) exactly lies on the curve.

vertex form of the parabola will be,

y = a(x + 3)² + 0

y = a(x + 3)²

Since (-13, -5) lies on this graph,

-5 = a(-13 + 3)²

-5 = 100a

a = -\frac{5}{100}

a = -\frac{1}{20}

So the equation of the parabola will be,

y=-\frac{1}{20}(x+3)^2

Option (2) will be the answer.

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On a map,1 inch equals 10 miles. Two cities are 8 inches on the map. What is the actual distance between the cites?
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Answer:

if 1 in= 10 miles, then, 8 in= 80 miles

Step-by-step explanation:

8 0
3 years ago
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Very buys a basket of mangoes that is priced $14 before tax. ​ ​The sales tax is 6%. ​ ​What is the total price Avery pays for t
igor_vitrenko [27]

Answer:

Avery needs to pay $14.84

Step-by-step explanation:

When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:

\frac{14}{x} = \frac{100}{6} \frac{\%}{\%}

Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:

x = \frac{14*6}{100}\\x = \frac{84}{100}\\x = 0.84

The value to be paid is the product value plus the tax, therefore:

\text{paid} = 14 + 0.84 = 14.84

Avery needs to pay $14.84

6 0
3 years ago
Two sisters drive 144 miles on a camping trip they averaged at least 32 miles per gallon on the trio describe the number of gall
LUCKY_DIMON [66]
X in less than or equal to 4.5. it is this because 32 is the least number of miles per gallon. 144/32=4.5.
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3 years ago
Solve the equation <br>8-2x=-8x+14
Marina86 [1]

8 - 2x = -8x + 14      <em>subtract 8 from both sides</em>

-2x = -8x + 6     <em>add 8x to both sides</em>

6x = 6     <em>divide both sides by 6</em>

<h3>x = 1</h3>
4 0
3 years ago
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3400 dollars is placed in an account with an annual interest rate of 8. 25%. How much will be in the account after 25 years, to
OLEGan [10]

The final amount in the account after 25 years is $24670.42.

<h3>How do you calculate the final Amount after 25 Years?</h3>

Given that 3400 dollars are placed in an account with an annual interest rate of 8.25% for 25 years.

The final amount in the account is calculated by the formula given below.

A = P ( 1 + \dfrac {R}{100})^T

Where A is the final amount, P is the initial principal balance, R is the interest rate, T is the time period.

The final amount is given below.

A = 3400 ( 1 + \dfrac {8.25}{100})^{25}

A = 3400 (7.256005874)

A = 24670.41997= 24570.42

Hence we can conclude that the final amount in the account after 25 years is $24670.42.

To know more about the compound interest, follow the link given below.

brainly.com/question/25857212.

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