Answer:
k = 13The smallest zero or root is x = -10
Step-by-step explanation:
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+10 = 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.
Answer:
The 95% confidence interval of the proportion of Americans who believe in the conspiracy is
Step-by-step explanation:
From the question we are told that
The sample size is n =1057
The number that believe there was a conspiracy is k = 614
Generally the sample proportion is mathematically represented as

=> 
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally the margin of error is mathematically represented as
=>
=>
Generally 95% confidence interval is mathematically represented as
=>
=>
Answer:
The measure of the longer base is:
9 centimeters
Step-by-step explanation:
We know that the area of a trapezoid with height h and two parallel bases b and b' is given by the formula:
Here we have:
The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters.
i.e.
Step-by-step explanation:
First, move like terms on one side. Next, add them and divide. See the attachment for solution.
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