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2 years ago

HELP!!!

Mathematics

1 answer:

Naddika [18.5K]2 years ago

5 0

Check the picture below, so it reaches the maximum height at the vertex, let's check where that is

$h(t)=64t-16t^2+0 \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+64}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 64}{2(-16)}~~~~ ,~~~~ 0-\cfrac{ (64)^2}{4(-16)}\right)\implies \stackrel{maximum~height}{(2~~,~~\stackrel{\downarrow }{64})}$

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your weight on earth's moon is 2/6 your weight on earth. if a person weighed 120 pounds on earth what would be her weight on the

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Well, 120 * 1/3 is 40 pounds, so 40.

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3 years ago

Algebra 2 help. Solving equations containing two radicals

Marysya12 [62]

These are 3 questions and 3 answers.

Question 1.

Answer: bot equations have the same potential solutions, but equation A may have extraneous solutions

Explanation:

1) Equation A

$\sqrt{x^2+3x-6}=\sqrt{x+2}\\ \\ x^2+3x-6=x+2\\ \\ x^2+2x-8=0\\ \\ (x+4)(x-2)=0\\ \\ x=-4 ; x =2$

Replace x = -4 in the right side of the equation:

$\sqrt{x+2} =\sqrt{-4+2} =\sqrt{-2}$

Which is not defined, so this is a extraneous solution.

2) Equation B.

Since it is a cube root, it is defined for any (negative, zero, and positive) values of x.

Question 2.

Answer: cubing both sides once.

Explanation:

$\sqrt[3]{5x-2} -\sqrt[3]{4x} =0\\ \\ \sqrt[3]{5x-2} =\sqrt[3]{4x}\\ \\ (\sqrt[3]{5x-2} )^3=(\sqrt[3]{4x})^3\\ \\ 5x-2=4x\\ \\ 5x-4x=2\\ \\ x=2$

3) Question 3.

Answer: c - 2 = 25 + c + 10√c

Explanation:

$\sqrt{c-2} -\sqrt{c} =5\\ \\ \\ \sqrt{c-2} =\sqrt{c} +5\\ \\ (\sqrt{c-2})^{2} =(\sqrt{c}+5)^2\\ \\ c-2=c+10\sqrt{c} +25\\ \\ c-2=25+c+10\sqrt{c}$

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3 years ago

Jane Smith took out a loan for $40,000 to pay for her child's education. The loan would be repaid at the end of eight years in o

EleoNora [17]

Answer:

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Step-by-step explanation:

In order to solve this question we have to use the compound interest formula

A = P*(1+i)ˆn

A: final amount including principal

P: principal amount

i: interest per year

n: total number of years

A = 40000 (1+0.12)ˆ8

A = 99 038.52 USD

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3 years ago

You rode your bike for 5 miles in 30 minutes.

Nezavi [6.7K]

It’s False, you’d have to divide the number of minutes by the miles to get how many minutes it took PER mile to ride your bike. 30/5 is 6 therefore it takes 6 minutes per mile. if you were to multiply 6 times 12 miles it would equal 72 minutes.

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3 years ago

How can the techniques of factoring be extended to work with higher-degree polynomials?

lions [1.4K]

<h3>Explanation:</h3>

Any techniques that you're familiar with can be applied to polynomials of any degree. These might include ...

use of the rational root theorem
use of Descartes' rule of signs
use of any algorithms you're aware of for finding bounds on roots
graphing
factoring by grouping
use of "special forms" (for example, difference of squares, sum and difference of cubes, square of binomials, expansion of n-th powers of binomials)
guess and check
making use of turning points

Each root you find can be factored out to reduce the degree of the remaining polynomial factor(s).

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3 years ago