Answer:
<u>-1 and -5</u>
Step-by-step explanation:
m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.
The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.
(m + 1) = 0
(-1 + 1) = 0
This means that one of the values for m is -1.
(m + 5) = 0
(-5 + 5) = 0
This means that one of the values for m is -5.
<u>Moreover, the value of m by factoring is -1 and -5</u>
Answer:
15, 8, 25 The teacher payed 0.40 per book.
Step-by-step explanation:
4/10 = 2/5 Simplify the 4/10 to find the unit rate.
15: 2/5 = 6/x Set up your proportion.
2x =30 Cross multiply
/2 /2 Divide both sides by 2 to isolate x
x =15
8: 2/5 = x/20 Set up proportion
40 =5x Cross multiply
/5 /5 Divide both sides by 5 to isolate x
8 =x
25: 2/5 = 10/x Set up proportion
2x =50 Cross multiply
/2 /2 Divide both sides by 2 to isolate x
x =25
Graph: y=mx+b To graph, you will need to use y=mx+b format
y= 2/5 x+2 2/5 is your unit rate. Your rate changes every 2 books bought. To graph, start at (0,2) and go up 2 and to the right 5, plot. Continue moving up 2 and to the right 5 to graph.
The teacher payed 0.40 per book because 2/5 simplifies to 0.40.
Step-by-step explanation:
length = x + 2
width = x
x + x + (x+2) + (x+2) = 36 ft
4x + 4 = 36 ft
4x = 32 ft
x = 32 ÷ 4
x = 8 ft
dimensions = length x width
= (x+2) × x
= (8+2) × 8
= 10 ft × 8 ft
Answer:
<u>y = -2/3x + 5/6</u> (slope intercept) (y = ax + b)
4x + 6y = 5 (standard form) (Ax + By = C)
y - 3/2 = -2/3(x + 1) (point slope) (y-y1 = m(x-x1)) (m = y2 - y1 / x2 - x1)
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The answer is (x+5) (3x+2)
