Answer:
x = 3/4
Step-by-step explanation:
Step 1: Write equation
5x - 2(x + 1) = 1/4
Step 2: Solve for <em>x</em>
- <u>Distribute -2:</u> 5x - 2x - 2 = 1/4
- <u>Combine like terms:</u> 3x - 2 = 1/4
- <u>Add 2 to both sides:</u> 3x = 9/4
- <u>Divide both sides by 3:</u> x = 3/4
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
5(3/4) - 2(3/4 + 1) = 1/4
15/4 - 2(7/4) = 1/4
15/4 - 14/4 = 1/4
1/4 = 1/4
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
Thank you sooo much Maddi441
Answer:
each ouce is worth 25 cents
solution
in order to solve this you need to create proportions so
<u>10 ounces </u>
per $2.50
well you want this to be a unit rate so you would have
<u>10 ounces </u> =<u> 1 ounce</u>
2.50 x
to get to the unit rate, you can see that you divided 10 from 10 ounces so you would do the same to the bottom ...
2.50/10 which is equal to 0.25.
Hello,
This is simple :)
<span>First divide:
How many times does 16 go into 7? : 0
7 GOES into 16, 0 times, now we have ; 0.
Next, multiply 16(0):0
Now, subtract 7-0
=7
Bring 0 down... so now we have 70... how many times can you divide 16 into 70? : about 4 times.
Now we have: 0.4
Multiple 16 by 4
= 64 : SUBTRACT 64 from 70
=60
Bring Down: 0; this gives us 60.
Divide:
How many times can 16 go into 60? : About 7 times
No we have : 0.437..
Bring down 0; gives us 600: how many times can 16 go into 600?: About 5 times.
Now, we have 0.4375.
Thus, 7/16 = 0.4375.
Faith xoxo
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