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o-na [289]
3 years ago
5

Consider the graph of the quadratic function y = 3x2 – 3x – 6. What are the solutions of the quadratic equation 0 = 3x2 − 3x − 6

? –1 and 2 –6 and –1 –1 and 1 –6 and 2
Mathematics
2 answers:
maria [59]3 years ago
7 0
X would equal 2 and -1.
Rudik [331]3 years ago
3 0

Answer:

A

Step-by-step explanation:

its -1 and 2 on edge

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Same I hate tiktoc for showing me happy couples

3 0
3 years ago
the ortiz will travel fron indianapolis to denver this summer.The driving distance between the two cities is 1058 miles. They ne
Sladkaya [172]

Answer:

  a. 2116 miles

  b. 105.8 gallons

  c. $305.76

  d. cost per gallon = total cost / number of gallons = total cost/105.8

Step-by-step explanation:

<h3>a. </h3>

The round-trip distance is the sum of the distances there and back. It is double the one-way distance.

  round-trip distance = 2 × one-way distance

  round-trip distance = 2 × 1058 miles = 2116 miles

__

<h3>b.</h3>

The gas used will be the distance divided by miles per gallon.

  gas used = round-trip distance / miles-per-gallon

  gas used = (2116 mi)/(20 mi/gal) = 105.8 gal

__

<h3>c.</h3>

The cost of gas will be the product of cost per gallon and number of gallons.

  cost of gas = cost-per-gallon × gallons

  cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76

__

<h3>d.</h3>

The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...

  (cost of gas)/gallons = cost-per-gallon

For the same trip, the number of gallons is 105.8, so the equation becomes ...

  cost-per-gallon = (cost of gas)/105.8

3 0
2 years ago
A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7.5 ft
Yuri [45]

Considering the definition of right rectangular prism and its volume,  the total weight of the contents is 38.81 pounds.

<h3>Right rectangular prism</h3>

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

<h3>Volume of right rectangular prism</h3>

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

<h3>Volume of the container </h3>

In this case, you know that:

  • the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.
  • the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= <u><em>258.75 ft³</em></u>

Then, the total weight of the contents is calculated as:

258.75 ft³×  0.15 pounds per cubic foot= <u><em>38.8125 pounds≅ 38.81 pounds</em></u>

Finally, the total weight of the contents is 38.81 pounds.

Learn more with this similar problems:

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8 0
2 years ago
The measure of an angle is seventeen times the measure of its supplementary angle. What is the measure of each angle?
levacccp [35]

Answer:

The measure of each angle will be 10° and 170°.

Step-by-step explanation:

A supplementary angle refers to an angle that has the sum to be equal to 180°.

Let the small angle be represented by x

Therefore, the big angle will be: = 17 × x = 17x

Therefore, the value of both angles will be:

x + 17x = 180

18x = 180

Divide both side by 18

18x/18 = 180/18

x = 10

Therefore, the bigger angle will be:

17x = 17 × 10 = 170

Therefore, the angles are 10° and 170°

4 0
2 years ago
Read 2 more answers
at noon joice drove to the lake at 30 mi. per hour, but she made a long walk back at 4 mi. per hour. how long did she walk ifshe
Kryger [21]
Distance = 30 mph * time
distance = 4 mph * time

distance = 30 mph * t
distance = 4 mph * (17-t)

Since distance is equal then
30 mph * t = 4 mph * (17-t)
 
30t = -4t + 68

34t = 68

t = 2 hours

We see the return trip time is (17 -t ) which is 15 hours.
The beginning trip time is 2 hours.

Double Check
Beginning trip = 30 miles * 2 = 60 miles
Return trip = 4 miles * 15 = 60 miles.


3 0
3 years ago
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