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Mumz [18]
2 years ago
10

Nada drives her car at an average speed of 60 miles per hour. She is planning a drive between 150 and 180 miles. Write and solve

an inequality to model how many hours Nada will be driving
Mathematics
1 answer:
tatuchka [14]2 years ago
7 0

The inequality model that can be used to solve the number of hours it would take Nada to drive is 2.5 ≤ x ≤3.

<h3>What is the number of hours it would take Nada to drive?</h3>

Average speed is the total distance travelled per time.

Average speed = total distance / total time

Time = total distance / average speed.

Time if she drives 150 miles = 150 / 60 = 2.5 hours

Time if she drives 180 miles = 180 / 60 = hours

2.5 ≤ x ≤3.

To learn more about average speed, please check: brainly.com/question/21734785

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Find an equation in standard form of the parabola passing through these points: (0,-6),(-1,-12),(3,0)
Elan Coil [88]
One form of the equation of a parabola is
y = ax² + bx + c

The curve passes through (0,-6), (-1,-12) and (3,0). Therefore
c = - 6                       (1)
a - b + c = -12            (2)
9a + 3b + c = 0         (3)

Substitute (1) into (2) and into (3).
a - b -6 = -12
a - b = -6                  (4)
9a + 3b - 6 = 0
9a + 3b = 6              (5)

Substitute a = b - 6 from (4) into (5).
9(b - 6) + 3b = 6
12b - 54 = 6
12b = 60
b = 5
a = b - 6 = -1

The equation is
y = -x² + 5x - 6 

Let us use completing the square to write the equation in standard form for a parabola.
y = -[x² - 5x] - 6
   = -[ (x - 2.5)² - 2.5²] - 6
   = -(x - 2.5)² + 6.25 - 6

y = -(x - 2.5)² + 0.25
This is the standdard form of the equation for the parabola.
The vertex us at (2.5, 0.25).
The axis of symmetry is x = 2.5
Because the leading coefficient is -1 (negative), the curve opens downward.
The graph is shown below.

Answer: y = -(x - 2.5)² + 0.25

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3 years ago
What is the answer please
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Answer:

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8 0
2 years ago
Three times a number, added to 9 is 33 find the number
kozerog [31]
3 x 8 = 24 
24 + 9 = 33

"the number" = 8
6 0
3 years ago
Read 2 more answers
Question 4
Ilia_Sergeevich [38]

Answer:

2

Step-by-step explanation:

Given

See attachment for chart

Required

Number of off days

To do this, we simply calculate the expected value of the chart.

This is calculated as:

E(x) = \sum x * f

Where

x = days

f = chances

So, we have:

E(x) = 0* 0.3 + 1 *0.2 + 2 * 0.25 + 3  * 0.2 + 4  * 0.02 + 5 * 0.01 + 6 * 0.01 + 7 * 0.01

E(x) = 1.56

E(x) \approx 2

3 0
2 years ago
I need help finding functions​
velikii [3]

Answer:

  1. y= 7
  2. y= -3
  3. y= -4
  4. y= -8

Step-by-step explanation:

y= -5x+1

=-5.-1+1

=7

Now you can do this method

3 0
3 years ago
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