Answer:
f(x) = (x-2) (x+10)
Step-by-step explanation:
f(x)=x^2+8x-20
Factor the right hand side
What 2 numbers multiply to -20 and add to 8
-2 * 10 = -20
-2 + 10 = 8
f(x) = (x-2) (x+10)
Then we can use the zero product property to help us to find the zero's
<span>A)x-y+3 is your answer
Proof:
(5 x)/4 - 8 y - x/4 + 7 y + 3
Put each term in (5 x)/4 - 8 y - x/4 + 7 y + 3 over the common denominator 4: (5 x)/4 - 8 y - x/4 + 7 y + 3 = (5 x)/4 - (32 y)/4 - (x)/4 + (28 y)/4 + 12/4:
(5 x)/4 - (32 y)/4 - x/4 + (28 y)/4 + 12/4
(5 x)/4 - (32 y)/4 - x/4 + (28 y)/4 + 12/4 = (5 x - 32 y - x + 28 y + 12)/4:
(5 x - 32 y - x + 28 y + 12)/4
Grouping like terms, 5 x - 32 y - x + 28 y + 12 = (28 y - 32 y) + (5 x - x) + 12:
((28 y - 32 y) + (5 x - x) + 12)/4
28 y - 32 y = -4 y:
(-4 y + (5 x - x) + 12)/4
5 x - x = 4 x:
(-4 y + 4 x + 12)/4
Factor 4 out of -4 y + 4 x + 12:
(4 (-y + x + 3))/4
(4 (-y + x + 3))/4 = 4/4×(3 + x - y) = 3 + x - y:
Answer: 3 + x - y
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The required ratio of the given sweets is 2:7
Step-by-step explanation:
Given,
Total number of sweet = 72
Number of apple flavored sweet = 16
To find the ratio of strawberry sweets and apple sweets
So, the number of strawberry sweets = 72 - 16 = 56
Ratio of apple sweets and strawberry sweets = 16 : 56
= 2 : 7
20/28 = 5/7
Step-by-step explanation:
Step 1 :
Total number of students in the algebra class is 28
Given that the number of students who play neither sport = 8
Step 2 :
Probability that a student randomly chosen does not play any sport is obtained by number of students who play neither sport/ total number of students
Hence probability is 8/28
Step 3 :
The probability that a student randomly chosen plays either basketball or base ball = 1 - 8/28 = 20/28 = 5/7
