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3 years ago

Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak.

1 answer:

3 0

A sequence is a set of numbers constant, it is all regular -
The outputs have a pattern,

Hope that helps, I can't do much without seeing the set of numbers

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Which of the following are solutions to the equation below?

sladkih [1.3K]

Answer:

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=3,\:x=-\frac{1}{2}$

Step-by-step explanation:

considering the equation

$2x^2\:-\:4x\:-\:3\:=\:x$

solving

$2x^2\:-\:4x\:-\:3\:=\:x$

$2x^2-4x-3-x=x-x$

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

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=2,\:b=-5,\:c=-3:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}$

solving

$x=\frac{-\left(-5\right)+\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}$

$x=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}$

$x=\frac{5+\sqrt{49}}{2\cdot \:2}$

$x=\frac{5+7}{4}$

$x=3$

also solving

$x=\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}$

$x=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}$

$x=\frac{5-\sqrt{49}}{4}$

$x=-\frac{2}{4}$

$x=-\frac{1}{2}$

Therefore,

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=3,\:x=-\frac{1}{2}$

7 0

3 years ago

Find the length of BC

bazaltina [42]

Answer:

BC = 19.78

Step-by-step explanation:

using sin(x) rule

sin(54)= 16/BC

sin(54)=0.80

∴0.80=16/BC (divied both side by 0.80)

BC=16/0.80 =19.78

8 0

2 years ago

Will mark brainliest!!! Solve for x

antiseptic1488 [7]

Answer:

3.5

Step-by-step explanation:

49÷14 is how you get x

4 0

2 years ago

Which parent function is f(x) = |x|?

Levart [38]

Answer:

B. The absolute value parent function

Step-by-step explanation:

$f(x)=|x|$

Referred to as absolute value, the value inside the bars is measured in terms of its distance from 0. Therefore:

$|0|=0\\|3|=3\\|-3|=3$

In essence, a negative value within the bars becomes positive, while a positive value remains positive.

6 0

2 years ago

~khan academy 7th grade

pickupchik [31]

Question:

Which of the following expressions represents the distance between 1.7 and −1/2 on a number line?

Choose 1 answer:

$A.\ |1.7 - 1/2|$

$B.\ |1.7 -(-1/2)|$

C. None of the above

Answer:

$B.\ |1.7 -(-1/2)|$

Step-by-step explanation:

Given

Numbers: 1.7 and -1/2

Required

Determine the distance

To calculate the distance, we start by calculating the difference between the given numbers;

$Difference = 1.7 - (-1/2)$

Then, we calculate the distance;

In this case, the distance is meant to be positive; So, we'll introduce the symbol for absolute value;

Hence,

$Distance = |Difference|$

Substitute $1.7 - (-1/2)$ for Difference;

$Distance = |1.7 - (-1/2)|$

Hence, the correct option is B

4 0

2 years ago

Read 2 more answers