Answer:
general rule Un=1.8n-21
U100=1.8(100)-21=159
Step-by-step explanation:
a5=a+4d, a5=-12
a10=a+9d, a10=-3
-12=a+4d
-3=a+9d subtract the system of equations
-9=-5d solve for d
d=1.8
substitute d into first equation to find a
-12=a+4(1.8)
a=-19.2
un. = a + (n − 1)d
Un=-19.2+(n-1)(1.8)
Un=1.8n-21
Answer:
1/9
Step-by-step explanation:
0.1(repeating)
k = 13The smallest zero or root is x = -10
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Steps:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+1 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
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<em><u>Hope this helps.</u></em>
Slope = (y2 - y1)/(x2 - x1)
Slope = (6 -0)/(3 - 0)
Slope = 6/3 = 2
Answer
2
The probability according to the given scenario will be "
".
According to the question:
- The odds against winning the lottery are 48,000,000 to 1.
- Favorable outcome = 1
→ The total outcome will be:
= 
= 
As we know,
→ 
By putting the values, we get
→ 
Thus the above response is right.
Learn more about Probability here:
brainly.com/question/15739211
