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
Answer:
m(∠W) = 114°
Step-by-step explanation:
By the property of a parallelogram,
"Opposite angles of a parallelogram are equal in measure"
By this property,
m(∠W) = m(∠U)
9x + 15 = 4 + 10x
15 - 4 = 10x - 9x
x = 11
Therefore, m(∠W) = 9x + 15
= 9(11) + 15
= 99 + 15
= 114°
Measure of angle W is 114°.
Answer:
You can use it to plot to find mean, median, mode, and outliers of data sets.
Step-by-step explanation:
Step-by-step explanation:
<em>Let </em><em>the </em><em>two </em><em>numbers </em><em>be </em><em>x </em><em>and </em><em>y </em>
<em>x </em><em>-</em><em> </em><em>y </em><em>=</em><em> </em><em>6</em><em>8</em><em>5</em>
<em>Let </em><em>the </em><em>smaller </em><em>number </em><em>be </em><em>y </em>
<em>x </em><em>-</em><em> </em><em>2</em><em>6</em><em>2</em><em> </em><em>=</em><em> </em><em>6</em><em>8</em><em>5</em>
<em>x </em><em>=</em><em> </em><em>6</em><em>8</em><em>5</em><em> </em><em>+</em><em> </em><em>2</em><em>6</em><em>2</em>
<em>Therefore </em><em>x </em><em>=</em><em> </em><em>9</em><em>4</em><em>7</em>
B: step 2
You need to multiply the 7 with the 4.5
