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vladimir2022 [97]
3 years ago
9

What is the slope of the line below? If necessary, enter your answer as a

Mathematics
1 answer:
sergejj [24]3 years ago
4 0

Answer:

what

Step-by-step explanation:

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The graph models the function y = −x2 − x + 6. Which attribute(s) of the graph tell you the root(s) of the function? Determine t
Alex73 [517]
In a graph the roots of the function are given by the cut points with the x axis.
 On the other hand, we have the following equation:
 y = -x2 - x + 6
 To find the roots, we equate to zero:
 -x2 - x + 6 = 0
 Rewriting we have:
 x2 + x - 6 = 0
 (x-2) (x + 3) = 0
 The roots are:
 x1 = 2
 x2 = -3
 Answer:
 
The roots are:
 
x1 = 2
 
x2 = -3
7 0
3 years ago
Read 2 more answers
1. Which of the following number sentences is true?
Anastasy [175]

1.

D

2.

D

3.

A and D

4.

Didn't Understand

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7 0
2 years ago
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4. If f(x) = |2x - 4 find f(-7)<br> a.-18<br> b. 18<br> d. 10
bezimeni [28]

Answer:

Answer is a

Step-by-step explanation:

4 0
2 years ago
What is the value of the expression?<br><br>a) 6<br>b) 16<br>c) 8<br>d) 10
Vladimir79 [104]
The answer for the expression is C.
8 0
3 years ago
If you divide one of the roots of the equation 4x2+bx−27=0 by the other root, the quotient will be −3. Find b.
klio [65]
<h3>Answer:</h3>

  ±12   (two answers)

<h3>Explanation:</h3>

Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:

  (<em>a</em>)(-3<em>a</em>) = -27/4

  <em>a</em>² = -27/(4·(-3)) = 9/4

  <em>a</em> = ±√(9/4) = ±3/2

Then the other root is

  -3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs

We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...

  -(a + (-3a)) = b/4

  2a = b/4

  b = 8a = 8·(±3/2)

  b = ±12

_____

<em>Check</em>

For b = 12, the equation factors as ...

  4x² +12x -27 = (2x -3)(2x +9) = 0

  It has roots -9/2 and +3/2, the ratio of which is -3.

For b = -12, the equation factors as ...

  4x² -12x -27 = (2x +3)(2x -9) = 0

  It has roots 9/2 and -3/2, the ratio of which is -3.

4 0
3 years ago
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