Answer:
x = 3/4
Step-by-step explanation:
Step 1: Write equation
5x - 2(x + 1) = 1/4
Step 2: Solve for <em>x</em>
- <u>Distribute -2:</u> 5x - 2x - 2 = 1/4
- <u>Combine like terms:</u> 3x - 2 = 1/4
- <u>Add 2 to both sides:</u> 3x = 9/4
- <u>Divide both sides by 3:</u> x = 3/4
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
5(3/4) - 2(3/4 + 1) = 1/4
15/4 - 2(7/4) = 1/4
15/4 - 14/4 = 1/4
1/4 = 1/4
Answer:
Step-by-step explanation:
<h3>Given GP</h3>
<h3>To find</h3>
<h3>Solution</h3>
<u>Substitute ar in the second equation</u>
- ar⁵= 16
- 4r⁴ = 16
- r⁴ = 4
- r = √2
<u>Then finding a₄</u>
- a₄ = a₂*r² = 4*(√2)² = 4*2= 8
The domain is the set of x-values of a function. The range is the set of y-values of a function.
You are told that the domain, or x-values, are -8, -6, -3, -2, and 2. To find the range, you just need to plug in each of the x-values into the function <span>y = -3x + 7 and find the value of y.
1) When x = -8:
</span><span>y = -3x + 7
y = -3(-8) + 7
y = 24 + 7
y = 31
2) When x = -6
</span>y = -3x + 7
y = -3(-6) + 7
y = 18 + 7
y = 25
3) When x = -3
y = -3x + 7
y = -3(-3) + 7
y = 9 + 7
y = 16
4) When x = -2
y = -3x + 7
y = -3(-2) + 7
y = 6 + 7
y = 13
5) When y = 2
y = -3x + 7
y = -3(2) + 7
y = -6 + 7
y = 1
The range is {31, 25, 16, 13, 1}.
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Answer: {31, 25, 16, 13, 1}
Answer:
The discount allowed per bag is kshs 4
while the discount allowed on all the 300 bags is kshs 1,200
Step-by-step explanation:
Here, we are interested in calculating the discount allowed on the sales of the bag of maize.
From the question, we are told that the sales man allowed a discount of 0.2% on the maize sold.
Now, to find the amount of this, we proceed as follows;
What we simply need to do is to find 0.2% of the each of the price of the maize bags, and then we can proceed to find the total discount given on all maize bags sold.
The discount on each bag of maize would be;
0.2% of kshs 2000
That would be;
0.2/100 * 2,000 = 400/100 = kshs 4
Since there are 300 bags, the total amount of discount allowed is 300 * kshs 4 = kshs 1,200
Answer:
0.0906
Step-by-step explanation:
Given that the prevalence of a certain type of tree allergy is 0.26 in the general population
X- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.
Here n = 100
Required probability = the probability that exactly 26 of them will have this allergy
=
