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amm1812
3 years ago
14

Let ​f(x)= -5x+6. Find and simplify ​f(3n−5​). f(3n-5)= ?

Mathematics
1 answer:
IRINA_888 [86]3 years ago
5 0
We know that our function is f(x)=-5x+6; the only thing we need to find f(3n-5) is replace x with (3n-5) in our original function:
f(x)=-5x+6
f(3n-5)=-5(3n-5)+6

Now, lets simplify our function:
f(3n-5)=-15n+25+6
f(3n-5)=-15n+31

After simplify our function, we can conclude that f(3n-5)=-15n+31

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Step-by-step explanation:

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Answer:

Answered: Visitor

Answers:

k = 13The smallest zero or root is x = -10

===============================

Work Shown:

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

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or

m∠EGC=70°

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite

so

m∠EGC=(1/2)[arc EC+arc DF]

Find the value of x

we have

m∠EGC=(7x+7)°

arc EC=50°

arc DF=10x°

substitute and solve for x

(7x+7)°=(1/2)[50°+10x°]

14x+14=50+10x

14x-10x=50-14

4x=36

x=9

Find the measure of angle EGC

m∠EGC=(7x+7)°

substitute the value of x

m∠EGC=(7(9)+7)°=70°.

Step-by-step explanation:

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