Answer:
<h3>40 degrees</h3>
Step-by-step explanation:
If the temperature dropped 5 degrees every hour, this can be expressed as;
5 degree = 1 hour
To get the total number of degree dropped fro 8hours, we will say;
x degree = 8hours where x is the temperature drop in all
Solving both equality
5 degree = 1 hour
x degree = 8 hours
cross multiply
x * 1 = 5 * 8
x = 40 degrees
<em>Hence the total temperature drop in all is 40°</em>
Step-by-step explanation:
the integer that represents the opposite of a gain of 400 = - 400
Step-by-step explanation:
Let the number is a <em>and</em><em> </em>b
The sum of two numbers =30
so,a+b=30 <em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>(</em><em>1</em><em>)</em>
The difference of two number =12
so,a-b=12<em> </em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>(</em><em>2</em><em>)</em>
If we add two equation (1) and (2)
we get,
a+b+a-b=30+12
2a=42
so,one number is a=21
if we put the value a in (2) equation
we get,
a-b=12
21-b=12
b=21-12
b=9
so,the another number is=b=9
Answer:
3(2x^2-3x+14)
Step-by-step explanation:
6x^2-9x+42
All three terms have a common factor of 3
3(2x^2-3x+14)
Now let's focus on 2x^2-3x+14 and bring down the factor 3 later
so a=2
b=-3
c=14
Let's try to find two factors for ac that multiply to be a*c and add up to be b.
ac=28
b=-3
-----
ac=7(4)=14(2)=8(2)
Even if I made these pairs with both negatives nothing would give me -3
So you can only go as far as 3(2x^2-3x+14)
Here is another thing to help you if you have ax^2+bx+c and b^2-4ac<0 then it can't be factored (over reals)
Answer:
4
Step-by-step explanation:
1 3/5 ÷ 2/5
Change the mixed number to an improper fraction
( 5*1+3)/5 ÷ 2/5
8/5 ÷ 2/5
Copy dot flip
8/5 * 5/2
Rewriting
8/2 * 5/5
4*1
4