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Blizzard [7]
2 years ago
15

Graph the function. f(x)=|x+2|-1

Mathematics
2 answers:
timurjin [86]2 years ago
7 0

Answer:

a v-shaped graph with a minimum at (-2,-1) and x-intercepts at -1 and -3

Step-by-step explanation:

if you need to graph the function then start by creating an x-y table of values:

when x=0, y=1

so you the point: (0, 1)

when x=2, y=3

you have another point: (2,3)

when x=-2, y = -1

third point: (-2,-1)

when x=-3, y = 0

fourth point: (-3,0)

Alinara [238K]2 years ago
4 0

<em>G</em><em>r</em><em>a</em><em>p</em><em>h</em><em> </em><em>i</em><em>s</em><em> </em><em>a</em><em>t</em><em>t</em><em>a</em><em>c</em><em>h</em><em>e</em><em>d</em><em>!</em><em>!</em><em>~</em>

\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}

<h3>Graph details⤵️</h3>

\blue{■} \sf \: f(x) =  |x + 2|  - 1

\sf \: Roots  = (-3,0) (-1,0) \\  \sf \: \: Domain  = x∈R  \\  \sf \: Range  =  \: f(x)∈[-1,+∞⟩ \\  \sf \: Minimum  =(-2 ,-1) \\  \sf \: Vertical  \: intercept  = (0,1)

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At 107°F, a certain insect chirps at a rate of 92 times per minute, and at 113°F, they chirp 116 times per minute. Write an equa
dsp73

Answer:

The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.

Step-by-step explanation:

A linear equation can be expressed in the form y=m*x + b. In this equation, x and y are coordinates of a point, m is the slope and b is the y coordinate of the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.

When there are two points of a line (x1, y1) and (x2, y2), the slope is determined by the quotient between the difference of the ordinate of these two points and the difference of the abscissa of the same points. This is:

m=\frac{y2-y1}{x2-x1}

Having a point on the line, you can substitute the values ​​of m, x and y in the equation y = mx + b and thus find b.

In this case:

  • (x1, y1): (92, 107)
  • (x2, y2): (116, 113)

So:

m=\frac{113-107}{116-92}

m= 0.25

substituting the values ​​of m, x1 and y1 in the equation y = mx + b you have:

107= 0.25*92 + b

107 - 0.25*92= b

84=b

<u><em>The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.</em></u>

3 0
3 years ago
6x-5y=15 x=y+3 find x and y
arlik [135]

Answer:

(0, -3)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

6x - 5y = 15

x = y + 3

<u>Step 2: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                                                                                                  6(y + 3) - 5y = 15
  2. Distribute 6:                                                                                                    6y + 18 - 5y = 15
  3. Combine like terms:                                                                                        y + 18 = 15
  4. [Subtraction Property of Equality] Subtract 18 on both sides:                     y = -3

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define original equation:                                                                               x = y + 3
  2. Substitute in <em>y</em>:                                                                                                   x = -3 + 3
  3. Add:                                                                                                                   x = 0
7 0
3 years ago
Si la época prehistórica sucedió desde hace 2.5 millones de años a.C., hasta hace 2.500 años a.C.; el período Paleolítico (2.5 m
tia_tia [17]

Answer:

El período paleolítico corresponde a \frac{332}{333} de la época prehistórica.

Step-by-step explanation:

En primer lugar, se determina la extensión de tiempo, medida en años, tanto de la época prehistórica como el período paleolítico: (Nótese que el signo negativo significa a.C.)

Época Prehistórica

\Delta T = -2500-(-2500000)

\Delta T = 2497500\,years

Período Paleolítico

\Delta t = -10000 - (-2500000)

\Delta t = 2490000\,years

La fracción de la época prehistórica que corresponde al período paleolítico es:

r = \frac{\Delta t}{\Delta T}

r = \frac{2490000\,years}{2497500\,years}

r = \frac{332}{333}

El período paleolítico corresponde a \frac{332}{333} de la época prehistórica.

5 0
4 years ago
-7x - 12 = - 7х + 3(-4 - x)
dsp73

Answer:

x=0

Step-by-step explanation:

-7x - 12 = - 7x + 3(-4 - x)

Open up the parentheses

-7x - 12 = - 7x -12-3x

-7x cancels out on both sides

-12 =-12-3x

-12 cancels out on both sides

0=-3x\\x=0

I hope this helps!

4 0
3 years ago
Is the statement “The absolute value of a number is always greater than its opposite” true?
german

Answer:

No; the absolute value of a negative number is equal to its opposite

Step-by-step explanation:

6 0
3 years ago
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