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Nataly [62]
3 years ago
12

Two sets of quadratic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2:

x2 + 5x + 6 (x + 2)(x + 3) (x + 2.5)2 + 6.25 Which line contains three equivalent expressions? Line 1 only Line 2 only Both Line 1 and Line 2 Neither Line 1 nor Line 2
Mathematics
2 answers:
aleksklad [387]3 years ago
8 0

Answer:Line one is the answer

Step-by-step explanation:

I took the test

Rainbow [258]3 years ago
5 0
Line 1:
Expanding the vertex form, we have
  x² + 2·1.5x + 1.5² - 0.25 = x² +3x +2
Expanding the factored form, we have
  x² +(1+2)x +1·2 = x² +3x +2
Comparing these to x² +3x +2, we find ...
  • the three expressions are equivalent on Line 1

Line 2:
Expanding the vertex form, we have
  x² +2·2.5x +2.5² +6.25 = x² +5x +12.5
Expanding the factored form, we have
  x² +(2+3)x +2·3 = x² +5x +6
Comparing these to x² +5x +6, we find ...
  • the three expressions are NOT equivalent on Line 2

The appropriate choice is
  Line 1 only
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Look at the picture for the answer.

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Question 9 unsaved the starting salaries of individuals with an mba degree are normally distributed with a mean of $54,000 and a
ra1l [238]

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Answer: 16%



7 0
3 years ago
Two hikers start from the same point and hike in opposite directions around a lake whose shoreline is 17 mi long. One hiker walk
Ainat [17]
Let A be the speed of hiker A and B the speed of hiker B.
let's say that B is faster than A, so B=A+0.5
we know that they met after 2 hours, and the distance each walked after 2 hours is given by:
2A+2B=17

2A+2(A+0.5)=17

2A+2A+1=17

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5 0
4 years ago
Please help need answers
bogdanovich [222]

see explanation below

(1) \frac{1}{5} × \frac{2}{2} = \frac{2}{10} = 0.2

(2) \frac{6}{25} × \frac{4}{4} = \frac{24}{100} = 0.24

(3) 2 \frac{3}{4} = 2 +\frac{75}{100} = 2.75

(4) 3 \frac{9}{10} = 3 + 0.9 = 3.9

(5) 1.25 = 1 \frac{1}{4} = \frac{5}{4}

(6) 3.29 = 3 \frac{29}{100} = \frac{329}{100}

(7) 0.65 = \frac{65}{100} = \frac{13}{20} in simplest form

(8) 5.6 = 5 \frac{6}{10} = 5 \frac{3}{5} = \frac{28}{5}

(9) he is incorrect

\frac{3}{5} × \frac{20}{20} = \frac{60}{100} = 0.6 ≠ 3.5


7 0
3 years ago
Given the points (-2, 0), (-1,0), (0, – 8), (2, 0), write the polynomial in factored form.
Ket [755]

As per given by the question,

There are given that four point.

The point is,

(-2,\text{ 0), (-1, 0), (0, -8), (2, 0)}

Now,

From given point,

(-2,\text{ 0), (-1, 0), (0, -8), (2, 0)}

Then, the factor is,

(x+2)(x+1)(x-2)

Now, solve the above equation,

(x+2)(x+1)(x-2)

The factorial formd will be,

y=a\times(x+2)\times(x+1)\times(x-2)

Now, find the value of "a" with the help of given point (0, -8).

So,

Puth the value of x =0, and y=-8 in above equation,

Then,

\begin{gathered} y=a\times(x+2)\times(x+1)\times(x-2) \\ -8=a\times(0+2)\times(0+1)\times(0-2) \\ -8=a(2)(1)(-2) \\ a=\frac{-8}{-4} \end{gathered}

Then, a=2.

Now,

The value of a is 2.

And,

The polynomial in the factored form is,

y=2(x+2)(x+1)(x-2)

Hence, the value of a is 2 and the polynomial in the factored form is,

y=2(x+2)(x+1)(x-2)_{}

8 0
1 year ago
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