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Furkat [3]
3 years ago
11

Write 180 feet per 12 seconds as a unit rate

Mathematics
1 answer:
Ber [7]3 years ago
7 0
15ft per sec would be the unit rate.
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A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining th
Anuta_ua [19.1K]
These are two questions and two answers:

Question 1:

<span>A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work.

Answer: </span><span>The negative value of the radicand means that the equation does not have real solutions.

Explanation:

1) With radicand the statement means the disciminant of the quadratic function.

2) The discriminant is: b² - 4ac, where a, b, and c are the coefficients of the quadratic equation: ax² + bx + c

3) Then, for 3x² - 15x + 20, a = 3, b = - 15, and c = 20

and the discriminant (radicand) is: (-15)² - 4(3)(20) = 225 - 240 = - 15.

4) The negative value of the radicand means that the equation does not have real solutions.

Question 2:

Part B: Solve 3x^2 + 5x − 8 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

Answer:
</span> two solutions x = 1 and x = - 8/3x

Explanation:

1) I choose factoring (you may use the quadratic formula if you prefer)

2) Factoring

Given: 3x² + 5x − 8 = 0

Make 5x = 8x - 3x: 3x² + 8x - 3x - 8 = 0

Group: (3x² - 3x) + (8x - 8) = 0

Common factors for each group: 3x(x -1) + 8(x - 1) = 0

Coomon factor x - 1: (x - 1) (3x + 8) = 0

The two solutions are for each factor equal to zero:

x - 1 = 0 ⇒ x = 1
3x + 8 = 0 ⇒ x = -8/3

Those are the two solutions. x = 1 and x = - 8/3
4 0
3 years ago
LaShaundra is buying fence for two triangular sections of her garden.
mixas84 [53]

Answer: 80 feet.


Step-by-step explanation:

1. As you can see in the figure, triangle ABC and the triangle DFG are similar.

2. The scale of factor of triangle ABC to triangle DFG is the following:

sf=\frac{20ft}{4ft}\\sf=5ft

3. Therefore, the lenght of the side DG of the trinagle DFG is:

DG=5*AC\\DG=5*7ft\\DG=35ft

4. The perimeter of the triangle DFG is:

P_{DFG}=20ft+25ft+35ft=80ft

5. Therefore, she would need 80 feet of fence.


8 0
3 years ago
What is the volume of this rectangular
Basile [38]
<h3>Given:</h3>
  • l= 5 m
  • b= 4 m
  • h= 3 m
<h3>Note that:</h3>
  • l= length
  • b= breadth
  • h= height
<h3>To find:</h3>

The volume of the given rectangular pyramid.

<h3>Solution:</h3>

\large\boxed{Formula:V=\frac{1}{3}lbh}

First, multiply the length (5), breadth (4) and height (3).

5×4×3

= 60 \: cm

Now, divide 60 by 3.

\frac{60}{3}

\large\boxed{V= 20 \: {m}^{3}}

<u>Therefore, the volume of the given rectangular pyramid is 20 cubic meters.</u>

8 0
2 years ago
What times what equals 36 but also adds up to -9?
Virty [35]
-12 and 3 add up to -9 but multiply to 36.
8 0
3 years ago
List these numbers from LEAST TO GREATEST 19.054, 19.0541, 19.5, 19.0
german

Answer:

19.0, 19.5, 19.054, 19.0541

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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