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irga5000 [103]
3 years ago
5

A water balloon is catapulted into the air so that its height h, in meters after t seconds is h(t) = -4t2 + 16t + 2.

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
4 0

the maximum height of a ballon is 58 after 1 sec

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If f(x)=3 x -1 and g(x)=0.03x^3-x+1 an approximate solution for the equation f(x)=g(x) is
lubasha [3.4K]

Answer:

  x ≈ {-11.789, +0.501, 11.288}

Step-by-step explanation:

The cubic g(x) - f(x) = 0 has three real solutions. It can be rewritten as ...

  g(x)-f(x)=0\\\\0.03x^3-x+1-(3x-1)=0\\\\0.03x^3-4x+2=0

Since the solutions are irrational, they are best found using a spreadsheet or graphing calculator. My favorite graphing calculator shows the approximate solutions below.

_____

<em>Comment on the problem statement</em>

Your expression for f(x) is ambiguous in that many Brainly questions have the exponentiation indicator replaced by a blank: 3 x -1 often means 3^x -1 and sometimes means 3^(x-1). We have taken the expression at face value and have assumed it is a linear expression. If otherwise, the problem is basically worked the same way: write a function h(x) = g(x) - f(x) and look for solutions to h(x) = 0. Graphing can be useful.

3 0
3 years ago
Need answer asap.thanks​
Marrrta [24]

Answer:

0.46=\frac{23}{50}

Step-by-step explanation:

To write any decimal as a fraction you divide by 1 and multiply by a number (ranging from 10, 100, 1000 etc.) that will make 0.46 a whole number, this will explain:

Let x = \frac{0.46}{1}

10x = 10*\frac{0.46}{1} =\frac{4.6}{10}

100x = 100*\frac{0.46}{1}=\frac{46}{100} this is our perfect fraction, now we simplify later

100x - 10x = \frac{46}{100} -\frac{4.6}{10}

90x = \frac{46}{100} -\frac{4.6}{10} =0  this is to confirm both fractions are equal

x is the same as \frac{0.46}{1} as \frac{4.6}{10} as \frac{46}{100} but here x = \frac{46}{100} because a fraction has to have no decimals.

So  0.46 is equal any of these values, as a fraction, on the other hand, it's improperly equal to \frac{46}{100} = \frac{23}{50} here I divided by 2 to bring down the proper fraction. (fraction at its simplest form)

6 0
3 years ago
An auto maker estimates that the mean gas mileage of its sports utility vehicle is at least 20 miles per gallon. A random sample
Nady [450]

Answer:

Yes, we reject the auto maker's claim.

Step-by-step explanation:

H0 : μ ≥ 20

H1 : μ < 20

Sample mean, xbar = 18 ;

Sample size, n = 36

Standard deviation, s = 5

At α = 0.01

The test statistic :

(xbar - μ) ÷ s /sqrt(n)

(18 - 20) ÷ 5/sqrt(36)

-2 /0.8333333

= - 2.4

Pvalue from test statistic : Pvalue = 0.00819

Pvalue < α

0.00819 < 0.01

Hence, we reject the Null

7 0
3 years ago
Can someone please help me?
Pachacha [2.7K]

Hello there!

So, remember that m = the slope, and slope intercept form is represented as y = mx + b. To find the y intercept, place the values of x, y, and the slope into the equation.

The first step, ____ = (____)____ + b should look like 3 = (2/5)10 + b once you plug the values for your x and y values and slope.

The second step, ___ = ____ + b should look like 3 = 4 + b since you should multiply 2/5 x 10.

The final step, -1 = b should look like  since you subtracted 4 from both sides of the equation.

Y = 2/5x - 1 is your final equation. I hope this helps, have a great rest of your day!

7 0
3 years ago
What is the answer to the question above?
Bond [772]

Answer:

i beleive that B is the best option

4 0
2 years ago
Read 2 more answers
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