Answer:
<span>x=<span><span>5±<span>√41</span></span>4</span></span>
Explanation:
<span>2<span>x2</span>−5x+1=3</span>
<span><span>aaaaaaa</span>−3a−3<span>aaa</span></span>Subtract 3 from both sides
<span>2<span>x2</span>−5x−2=0</span>
This equation is not factorable, so use the quadratic formula.
<span>x=<span><span>−b±<span>√<span><span>b2</span>−4ac</span></span></span><span>2a</span></span><span>aaa</span></span> for<span><span>aaa</span>a<span>x2</span>+bx+c=0</span>
<span>a=2,b=−5,c=−2</span>
<span>x=<span><span>−<span>(−5)</span>±<span>√<span><span><span>(−5)</span>2</span>−4<span>(2)</span><span>(−2)</span></span></span></span><span>2⋅2</span></span></span>
<span>x=<span><span><span>5±<span>√41</span></span>4</span></span></span>
hope this helped :)
alisa202
<h3><u>(2x - 5)(4x - 3)</u></h3>
The AC method, also known as splitting the middle, can be shown like this:
8x^2 - 26x + 15
<em><u>Check factors of 120.</u></em>
1 * 120
-1 * -120
2 * 60
-2 * -60
3 * 40
-3 * -40
5 * 24
-5 * -24
6 * 20
-6 * -20 (these factors, when added together, are equal to the middle term, and thus splitting the middle term is possible.)
<em><u>Split the middle term.</u></em>
8x^2 - 6x - 20x + 15
<em><u>Group in terms of 2.</u></em>
(8x^2 - 6x) - (20x + 15)
<em><u>Factor each binomial.</u></em>
2x(4x - 3) - 5(4x - 3)
<em><u>Rearrange the terms.</u></em>
(2x - 5)(4x - 3)
Answer:
D) 4x + 5y = -30 = -4/5
Step-by-step explanation:
A) 5x + 4y = 28 slope = -5/4
b) 4x-5y = -25 slope = 4/5
c) 4y - 5x = -12 slope = 5/4
d) 4x + 5y = -30 slope = -4/5
Answer:
The correct option is <u>c) $17.50/case</u>.
Step-by-step explanation:
Note: The data in the question are merged. The data are therefore sorted and the whole question is represented before answering the question. Please, see the attached pdf file for the sorted data and the represented question.
The explanation of the answer is now given as follows:
Marginal cost refers to the cost incurred in order to produce one more unit of a product.
Therefore, marginal cost is the change in the total cost that is caused by a one-unit increase in the quantity of a commodity that is produced.
From the table in the question, the marginal cost at q = 108 can be calculated as follows:
Change in total quantity at 180 cases = 108 - Number of cases immediately before 108 = 180 - 104 = 4
Change in total cost at 180 cases = Total cost at 108 cases - Total cost immediately before 108 cases = 1990 - 1920 = 70
Marginal cost at 108 cases = Change in total cost at 180 cases / Change in total quantity at 180 cases = 70 / 4 = 17.50 per case
Therefore, the correct option is <u>c) $17.50/case</u>.
