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patriot [66]
2 years ago
14

Noelle pulls on a heavy door, but cannot get it to open. Which of the following statements are true?

Mathematics
1 answer:
seropon [69]2 years ago
8 0

the first one is correct

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Which polynomial function could be represented by the graph below?
Svetllana [295]

Note that

1.

f(x)=x^3+x^2-6x=x(x^2+x-6)=x(x-2)(x+3)

The x-intercepts are at points x=-3, x=0, x=2. The graph should be increasing - decreasing - increasing.

2.

f(x)=x^3-x^2-6x=x(x^2-x-6)=x(x+2)(x-3)

The x-intercepts are at points x=-2, x=0, x=3. The graph should be increasing - decreasing - increasing.

3.

f(x)=-2x^3-2x^2+12x=-2x(x^2+x-6)=-2x(x-2)(x+3)

The x-intercepts are at points x=-3, x=0, x=2. The graph should be decreasing - increasing - decreasing.

4.

f(x)=-2x^3+x^2+12x=-2x(x^2-x-6)=-2x(x+2)(x-3)

The x-intercepts are at points x=-2, x=0, x=3. The graph should be decreasing - increasing - decreasing.

From the diagram you can see that x-intercepts are at points x=-3, x=0, x=2 and the graph is   decreasing-increasing-decreasing.

Answer: correct choice is 3.

7 0
2 years ago
Read 2 more answers
On a coordinate plane, square P Q R S is shown. Point P is at (4, 2), point Q is at (8, 5), point R is at (5, 9), and point S is
sergey [27]

Answer:

(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.

Step-by-step explanation:

  • Point P is at (4, 2),
  • Point Q is at (8, 5),
  • Point R is at (5, 9), and
  • Point S is at (1, 6)

Midpoint of SQ =\frac{1}{2}(1+8,5+6)=(4.5,5.5)

Midpoint of PR =\frac{1}{2}(4+5,2+9)=(4.5,5.5)

Now, we have established that the midpoints (point of bisection) are at the same point.

Two lines are perpendicular if the slope of one is the negative reciprocal of the other.

In option D

  • Slope of RP =7
  • Slope of SQ  =-\dfrac17

Therefore, lines RP and SQ are perpendicular.

Option D is the correct option.

6 0
2 years ago
In a camp there is food for 400 persons for 23 days-if 60 more persons join the camp find the number of days the provision will
Deffense [45]

The answer is 20 days.

After 60 people have joined there will be 460 people in the camp.

The number of days which the provisions will last will be proportional less after the 60 people have joined and will be:-

(400/460) * 23

= (20 / 23) * 23

=  20


3 0
1 year ago
The cafe where you work just ran out of coffee, and you are at the store to buy 112 pounds of coffee. You have put a can with 34
ycow [4]

Answer:

78

Step-by-step explanation:

The total you are buying is 112 pounds.  The can you have picked up is 34 pounds; this leaves

112-34 = 78 pounds remaining.

7 0
1 year ago
Read 2 more answers
If tap and bre are supplementary and bre is its own complement, find the measure of tap. explain how you arrived at your answer
Pie
Supplementary angles are those whose sum is equal to 180° while those that are complementary are those whose sum is equal to 90°. Since, we are given that bre is the complement of itself, its measure can be calculated through the equation,
                           m∠bre + m∠bre = 90°
                                   m∠bre = 45°

Then, for the relationship of bre and tap, we have the equation,
                       m∠bre + m∠tap = 180°
                        45° + m∠tap = 180°
                                m∠tap = 135°

The measure of tap is equal to 135°. 
3 0
2 years ago
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