Answer:
4. 6x² - 5x - 4 ≤ 0
5. 7
6. 3
Step-by-step explanation:
The quadratic equation doesn't have a <u>less than or equal</u> to sign.
The standard form of this equation is 3.
I hope my answer helps ☺️❤️.
1. 1st number be x, 2nd number be y
Adding 5 times the first number and 8 times the second number gives a total of -13
so 5x+8y=-13
Adding 5 times the first number and 10 times the second number gives -15
so 5x+10y=-15
subtracting the above two eqns
(5x+8y)-(5x+10y) = -13-(-15)
-2y=2
y=-1
put back in first eqn 5x+8(-1)=-13
5x=-5
x=-1
2. area of town A = 1500
every year, the area of the town decreases by 7%
so after 1 year, A=1500*(1-7%)=1500*(0.93)
after x years, A=1500(0.93)^x
Take the inverse of cotangent to get your degree measure, then plug it into each answer choice.
I am joyous to assist you anytime.
Using the Fundamental Counting Theorem, we have that:
4. 1,757,600 different license plates can be there.
5. 676,000,000 different driver's license numbers can be formed.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
For the letters there are 26 outcomes and for the digits there are 10 outcomes, hence the parameters for item 4 are given as follows:
Hence the number of license plates is given by:
N = 26 x 26 x 10 x 10 x 26 = 1,757,600.
For item 5, the parameters are:
Hence the number of license numbers is:
26 x 26 x 10 x 10 x 10 x 10 x 10 x 10 = 676,000,000
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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