Answer:
2 x 5 x 5 or 2 x 5 2
Step-by-step explanation:
Prime factorization of 50 is 2 x 5 x 5 or 2 x 5 2 Prime
Hope it helps :)
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Answer:
(3x+4)(5x+7)
Step-by-step explanation:
15x^2
+41x+28
Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2
+ax+bx+28. To find a and b, set up a system to be solved.
a+b=41
ab=15×28=420
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.
1,420
2,210
3,140
4,105
5,84
6,70
7,60
10,42
12,35
14,30
15,28
20,21
Calculate the sum for each pair.
1+420=421
2+210=212
3+140=143
4+105=109
5+84=89
6+70=76
7+60=67
10+42=52
12+35=47
14+30=44
15+28=43
20+21=41
The solution is the pair that gives sum 41.
a=20
b=21
Rewrite 15x^2
+41x+28 as (15x^2
+20x)+(21x+28).
(15x^2
+20x)+(21x+28)
Factor out 5x in the first and 7 in the second group.
5x(3x+4)+7(3x+4)
Factor out common term 3x+4 by using distributive property.
(3x+4)(5x+7)
The thousandths place is the third digit after the decimal point.
5 is in the thousandths place since it is the third digit after the decimal.
Have an awesome day! :)
Answer:
Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.
Step-by-step explanation:
The graph that represents the equation 
is now sketched with the help of a graphing tool and whose representation is included in a file attached below. The point associated with x-intercepts are (-3, 0) and (8, 0) and the point associated with the highest point is (2.5, 30.25). The width of the archway at its base (
) and the height of the archway at its highest point (
) are, respectively:
Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.
-3(5/6)v - 1 = -6(3/4)
To start off, we can simplify by multiplying the fractions with their whole numbers.
-15/6x - 1 = -18/4
Further simplify
-5/2x - 1 = -9/2
Now we can multiply everything times 2 to get rid of the fractions
-5x - 2 = -9
Now we will isolate the x value. Add 2 to both sides.
-5x = -7
Finally, divide all by -5 to get the final answer.
x = 7/5
Hope I helped you out!
