Answer: 12
Step-by-step explanation: 35 - 23
Answer:
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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:
C. 3 : 5
D. 24 : 40
Step-by-step explanation:
Select two ratios equivalent to 6 : 10
Checking all options
A. 20 : 12
20 / 12
= 10 /6
= 10 : 6
B. 32 : 50
= 32 / 50
= 16 / 25
C. 3 : 5
3 / 5
= 6 / 10
3/5 is equivalent to 6 / 10
D. 24 : 40
24 / 40 = 12 / 20
= 6 / 10
= 6 : 10
Options C and D are correct