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Step-by-step explanation:hgxfhgh
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Answer:
d = log 38/log31
d = 1.06
Step-by-step explanation:
31 ^ d = 38
Take log of both sides since the exponential equation have different base (always)
d log 31 = log 38
d = log 38 / log 31
d = 1.58 / 1.491
d = 1.06.
We can actually check to see if this is correct.
Substituting d = 1.06
31^ 1.06 = 38.092
(You see, that's approximately correct)
Keep learning, maths is fun!
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.
