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Stella [2.4K]
3 years ago
5

The points plotted below are on the graph of a polynomial. In what range of x-values must the polynomial have a root? Check all

that apply.
A. 2.5 to 3.5
B. 3.5 to 4.5
C. 5.5 to 6.5
D. -2.5 to -1.5
E. -1.5 to -0.5
F. 1.5 to 2.5

Mathematics
1 answer:
Annette [7]3 years ago
4 0
"2.5 to 3.5", "5.5 to 6.5", "-1.5 to -0.5" and "1.5 to 2.5" are the range of x-values among the following choices given in the question for which <span>the polynomial must have a root. The correct options among all the options that are given in the question are options "A", "C", "E" and "F". I hope that the answer has come to your help.</span>
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Ria can paint a room in 4 hours. Destiny can paint the same room in 6 hours. How long would it take Ria and Destiny to paint the
Lerok [7]

Time taken by Ria to paint a room = 4 hours

Time taken by Destiny to paint a room = 6 hours

If they work together, they complete 1 job. So,

\frac{1x}{4}+\frac{1x}{6}=1

The LCD of 4 and 6 is 12

\frac{3x+2x}{12}=1

\frac{5x}{12}=1

5x=12

x=\frac{12}{5}

Hence, both of them can paint the room in \frac{12}{5} hours or 2.4 hours.


4 0
3 years ago
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irinina [24]

Answer:

x=4, y=3

Step-by-step explanation:

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2 years ago
What is the slope / rate of change for 2, 5 and -3, 7​
Nady [450]

Answer:

\displaystyle m=\frac{-2}{5}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS<u> </u>

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

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (2, 5)

Point (-3, 7)

<u>Step 2: Identify</u>

x₁ = 2, y₁ = 5

x₂ = -3, y₂ = 7

<u>Step 3: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>

  1. Substitute in points [Slope Formula]:                                                             \displaystyle m=\frac{7-5}{-3-2}
  2. [Slope] [Fraction] Subtract:                                                                             \displaystyle m=\frac{2}{-5}
  3. [Slope] [Fraction] Rewrite:                                                                              \displaystyle m=\frac{-2}{5}
4 0
2 years ago
Find the missing factor 4x^2+19x-5=(x+5)( )<br><br> NEED HELP PLEASE
S_A_V [24]

Answer:

4x^2+19x-5=(x+5)(4x -1)

Step-by-step explanation:

The given expression is 4x^2 + 19x - 5

The leading coefficient is 4 and last term is -5

Multiply them, we get -20

Now find the factors of -20 such that when you add the factors we have to get 19.

-1*20 = -20

20+ (-1) = 19

The right factors are -5 and 9.

4x^2 + 19x - 5 =4x^2 + 20x -1x - 5

= 4x(x + 5) -1(x + 5)

= (x + 5)(4x -1)

The missing factor is (4x -1)

Thank you.


4 0
3 years ago
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