The value of a and b in terms of equation are; a = 3 + b and b = a + 18.
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
We are given polynomial, h(t) = 2t - at + bt + 4 represents Mr. Bill's height in metres at 't seconds. "-Mr." Bill is rapidly approaching a tall brick wall which is 100 metres high and will reach the wall in 3 seconds.
h = 100 metres
t = 3 seconds
Now substitute the values;
h(t) = 2t - at + bt + 4
100 = 2(3) - a(3) + b(3) + 4
100 = 6 - 3a + 3b + 4
3a + 90 = 3b
We need to find out if Mr. Bill will clear the wall or slam into it!
h(t) = 2t - at + bt+4 has a remainder of 9 when divided by (t-1) and a remainder of "-36" when divided by (t+2).
When t = 1
Then;
h(t) = 2t - at + bt + 4
9 = 2(1) - a(1) + b(1) + 4
9 = 6 - a + b
a = 3 + b
When time t = -2
Then; h(t) = 2t - at + bt + 4
-36= 2(-2) - a(-2) + b(-2) + 4
-36 = -4 + 2a - 2b + 4
-18 = a - b
b = a + 18
Learn more about equations here;
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Two equals circles than you equals three
And the elcplanarion
Answer:
The expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
Step-by-step explanation:
Let <em>X</em> represents the number of graphing calculator that starts malfunctioning within 36 months of the purchase and needs to be replaced by a new one.
It is provided that <em>X</em> follows a normal distribution with a mean of 54 months and a standard deviation of 8 months.
Also, using the normal model it was determined that 1.22% of graphing calculator manufactured by Texas Instruments malfunctions and needs replacement.
That is,
P (<em>X</em>) = 0.0122
Texas Instruments has sold 75 million graphing calculators world- wide.
Compute the expected number of graphing calculators that malfunctions within 3 months and need to be replaced as follows:
E (<em>X</em>) = n × P (<em>X</em>)
= 75 × 10⁶ × 0.0122
= 915000
Thus, the expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
Answer:
Hey!
Your Answer Is,
No Triangles: A, C
One Triangle, F, D
Many Triangles: B,E
I hope this helps you!
Step-by-step explanation:
Answer: the distance between points M and P
Step-by-step explanation:
