Mathematics: Compare the numbers √11 and 3.7. use the symbols , ,or=.

BStep-by-step explanation:So we have: To find g(5), substitute 5 for x: Square and multiply: Add: Subtract: So, our answer is B :)...

Compare the numbers √11 and 3.7. use the symbols - id1137986726, daniellekennedy05

enitramedouard12

13.03.2022

Hi! here we want to compare the numbers $\sqrt{11}$ and 3.7

and we need to use <,> or =

So the first thing i would look is the square root.

we know that $3^{2} = 9, 4^{2} = 16$

so 3< $\sqrt{11}$ <4

now we can see $3.7^{2} = (3 + 0.7)*(3 + 0.7) = (3*3 + 2*0.7*3 + 0.7*0.7) =(9 + 6*0.7 + 0.7*0.7)$

is easy to see that $0.7*6 \geq 0.5*6=3$

then $3.7^{2} = (9 + 0.7*6 + 0.7*0.7) (9 + 3 + 0.7*0.7) 9 +3 = 12$

so 3.7^2 > 12, and 12>11

then: $3.7 \sqrt{11}$

You also can use a calculator, but i think this is not the idea of the problem.

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jujulakaeuaws

15.07.2022

Step-by-step explanation:

So we have:

g(x)=x^2+3x-1

To find g(5), substitute 5 for x:

g(5)=(5)^2+3(5)-1

Square and multiply:

g(5)=25+15-1

Add:

g(5)=40-1

Subtract:

g(5)=39

So, our answer is B :)

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