Answer: x + 3feet
Step-by-step explanation:
From the question, Emmanuel sections a part of his house backyard in order to build the rectangular stone patio for his grill. We are told that the length of the base is going to be 3 feet more than the width and the width has been defined as x.
Since the length of the base will be 3 feet more than the width and the width is x. Therefore, the length will be:
Length = x + 3feet
Let us compute first the probability of ending up an odd number when rolling a dice. A dice has faces with numbers 1 up to 6. The odd numbers within that is 3 (1, 3 and 5). Therefore, each dice has a probability of 3/6 or 1/2. Then, you use the repeated trials formula:
Probability = n!/r!(n-r)! * p^r * q^(n-r), where n is the number of tries (n=6), r is the number tries where you get an even number (r=0), p is the probability of having an even face and q is the probability of having an odd face.
Probability = 6!/0!(6!) * (1/2)^0 * (1/2)^6
Probability = 1/64
Therefore, the probability is 1/64 or 1.56%.
Answer:
y = 3x + 1
Step-by-step explanation:
(0,1) so that is the b
the rate of change is 9/3 so the m is 3
Answer:
two real, unequal roots
Step-by-step explanation:
y is definied as y = 3x - 1. Substitute 3x - 1 for y in xy = 9, obtaining:
x(3x - 1) = 9. Then:
3x^2 - x - 9 = 0. In this quadratic, the coefficients are a = 3, b = -1 and c = -9.
Calculating the discriminant b^2 - 4ac, we get (-1)^2 - 4(3)(-9), or 1 + 108, or 109. Because the discriminant is positive, we have two real, unequal roots.
Answer:
20) 2/32 so colour 2 boxes
21) 7/16
22) 2/60
23) 3/8
24) 35/63 or 5/9
25) 7/32
26) 45/60 or 9/12 or 3/4
27) 1/32
28) 3/21 or 1/7
29) 13/6 × 9/2
= 117/12
30) 3/4 × 17/2
= 51/8
31) 9/8 × 10/3
= 90/24
= 45/12
= 15/4
32) 16/5 × 2/3
= 32/15
sorry if theres any calculation mistake becoz i did all the calculations in mind
Step-by-step explanation: