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Alex
2 years ago
9

Puzzle 3

Mathematics
1 answer:
tankabanditka [31]2 years ago
8 0

Answer:

  DIBF

Step-by-step explanation:

It is helpful to look at the value of the y-intercept and the sign of the slope. The y-intercept is the y-value where the line crosses the y-axis. The slope is the "rise" divided by the "run". You can count horizontal and vertical grid squares between the y-intercept and the next grid crossing to determine the slope.

The slope-intercept equation is ...

  y = mx + b . . . . . . . line with slope m and y-intercept b

__

<h3>1.</h3>

y-intercept is -3, slope is negative (-1/3). Matches choice D.

<h3>2.</h3>

y-intercept is 0. Matches choice I.

<h3>3. </h3>

y-intercept is 1, slope is negative and is steep (-3). Matches choice B.

<h3>4.</h3>

y-intercept is 3, slope is negative (-1/2). Matches choice F.

The code is DIBF.

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Determine the zeros of the function <br> 5) y=-x² + 2x + 1
Rus_ich [418]
<h3>Zeros of function are x = 1 + \sqrt{2} \text{ and } x = 1 - \sqrt{2}</h3>

<em><u>Solution:</u></em>

<em><u>We have to find the zeros of the function</u></em>

y = -x^2 + 2x+1

Find the zeros of function:

-x^2 + 2x+1 = 0\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

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

Simplify\\\\x=\frac{-2 \pm \sqrt{4+4}}{-2}\\\\x =\frac{-2 \pm \sqrt{8}}{-2}\\\\Simplify\\\\x =\frac{-2 \pm 2 \sqrt{2}}{-2}\\\\x = 1 \pm \sqrt{2}

We have two zeros

x = 1 + \sqrt{2} \text{ and } x = 1 - \sqrt{2}

Thus zeros of function are x = 1 + \sqrt{2} \text{ and } x = 1 - \sqrt{2}

3 0
3 years ago
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On a number line: What does a closed circle mean and what does an open circle mean?
MArishka [77]
A closed circle means greater than or equal to and less than or equal to.
An open circle is greater than or less than.
4 0
3 years ago
A theater sells adult tickets for $8.00 and children's tickets for $5.50. Sally bought some of each kind (not the same number) a
Setler79 [48]
D is correct answer. X stands for adult tickets, y for children
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An athlete ran 200 meters in 19.19 seconds. Suppose that he ran the first half of that race (around a curve) in 10.75 seconds. H
SOVA2 [1]

The time needed to run the second half of the race is 8.44 s

Step-by-step explanation:

The total distance covered by the athlete during the race is

d = 200 m

And the total time taken to cover this distance is

T = 19.19 s

We also know that the time the athlete needs to cover the first half of the race is

t_1 = 10.75 s

Also, we know that

T=t_1 + t_2

where t_2 is the time the athlete takes to cover the second half of the race.

Re-arranging this equation and susbtituting the values, we find the value of t2:

t_2 = T-t_1 = 19.19-10.75=8.44 s

Learn more about uniform motion:

brainly.com/question/8893949

#LearnwithBrainly

5 0
3 years ago
Help me please thank you :)
Radda [10]
I have no idea but good luck
4 0
3 years ago
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