Answer:
the blank number is 23
Step-by-step explanation:
8, 15, 27, x, 20
common ratio, r= T2÷ T1= T3÷ T2
= 15 ÷ 8 =27÷ 15
= 1.8 = 1.8
20 ÷ x = x ÷ 27
( cross multiply,)
x²= 540
x =√540
x = 23.24
x = 23
Answer:
8 pencils.
Step-by-step explanation:
This is a common, GCF question and the question becomes, what number is the GCF of 40 and 24.
40= 2x2x2x5
24=2x2x2x3
Both share 2x2x2, which is 8 so the largest number of pencils in each pack is 8.
Answer:
k = 13The smallest zero or root is x = -10
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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
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.
Step-by-step explanation: Hope this helps kind of.
