We know that a three-pose portrait package has a sitting fee of $35 and <span> a six-pose package has a sitting fee of $60. The total amount they collect is $690.
</span>
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
I'm assuming the pail holds 6 3/4 (not 634) gallons of water.
1 gallon= 16 cups
Multiply total gallons by cups per 1 gallon.
= 6 3/4 cups * 16 cups/gallon
convert mixed number to improper fraction
= 27/4 * 16
multiply numerators
= (27*16)/4
multiply in parentheses
= 432/4
= 108 cups
ANSWER: There are 108 cups
Hope this helps! :)
Hey how are you, also can you please give me brainlest. I only need 2 more to level up.
Answer:
<h2>3.05x(output for x)</h2><h2>39.65</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>let's solve:</h3>
according to the question
the function is
f(x)=3.05x(first answer)
let's justify
f(1)=3.05×1
=3.05
LIKEWISE
f(3)=3.05×3
=9.15
therefore
it is the function
answer for the second question
f(13)=3.05×13
=39.65
