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Anna007 [38]
3 years ago
11

Will give brainliest! and EXTRA points.

Mathematics
1 answer:
denis23 [38]3 years ago
3 0

How far did the frog jump? the answer is one of the solutions of the quadratic equation

0= -0.017x^2+0.51x

because that's where the frogs height is 0 (y=0) feet.

Use your favorite formula for quadratic equations. I got two solutions: 0 and 30. 0 is clearly the starting point and 30 feet is point where the frog lands.

The height is the maximum of the quadratic form. Use the formula for maximum x of a quadratic: xmax = -b/(2a) = -0.51/(2*0.017) = 15. The maximum at that point is ymax = 3.825

So, the correct answer is (a) 30 ft far and 3.83 high.

You might be interested in
(e) The cost of building the ship was $153 000 000. Write 153 000 000 in standard form.​
Ostrovityanka [42]

Answer:

1.53 x 10 8

Step-by-step explanation: the 8 is small i just didnt know how to make it small lol

4 0
1 year ago
manu took a loan of Rs 5000 for one year at 12%per annum compounded quarterly .How much he has to pay after one year.​
Shkiper50 [21]

Answer:

Amount pay after one year for compounded quarterly = Rs 5627.54

Step-by-step explanation:

Given as,

Manu took loan of Rs 5000 , So, Principal = Rs 5000

The rate of interest applied = 12% per annum compounded quarterly

The loan took for period of year = one

Now from the compounded method :

For compounded quarterly

Amount = principal (1 + \frac{Rate}{4\times 100})^{4\times Time}

Or, Amount = Rs 5000 (1+ \frac{12}{4\times 100})^{4}

Or, Amount = 5000 (\frac{103}{100})^{4}

Or, Amount = 5000 × 1.1255

∴ Amount = Rs 5627.54

Hence , The amount which Manu pay after one year at 12% per annum compounded quarterly is Rs 5627.54  Answer

5 0
3 years ago
the tallest tree in the forest is 150 feet from the water tower. unfortunatly in a lightning storm the tallest tree was struck a
gogolik [260]
The interior angles of a triangle add up to 180

180 - 97 - 34 = 49

150 / Sin 34 =  b / Sin 49

multiply both sides by Sin 49

(Sin (49)* 150) / Sin 34 = b

b = 270.39 feet


3 0
3 years ago
Given f (x) = 1/4x-3/4<br> Find f^-1
Snowcat [4.5K]

The inverse of a function f(x) is f⁻¹(x) = 4x + 3 after using the concept of the inverse of a function.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

\rm f(x) = \dfrac{1}{4}x-\dfrac{3}{4}

To find the inverse of a function:

Interchange the f(x) and x

f(x) → x

x → f⁻¹(x)

\rm x = \dfrac{1}{4}f^{-1}(x)-\dfrac{3}{4}

Make the subject f(x);

\rm \dfrac{1}{4}f^-^1(x)=x+\dfrac{3}{4}

\rm f^-^1(x)=4x+3

Thus, the inverse of a function f(x) is f⁻¹(x) = 4x + 3 after using the concept of the inverse of a function.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

6 0
2 years ago
Through: (3, 4), slope = -2​
sineoko [7]

Answer:

y = -2x - 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Points: (3, 4)

Slope: -2

y = -2x + b

4 = -2 ( 3 ) + b

4 = -6 + b

b = -2

y = -2x - 2

8 0
2 years ago
Read 2 more answers
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