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kompoz [17]
3 years ago
15

Please answer correctly !!!!!! Will mark brianliest answer !!!!!!!!!!

Mathematics
1 answer:
Lina20 [59]3 years ago
6 0

Answer:

see below

Step-by-step explanation:

g(x) = (x² - 2 * 1/2 x) - 6

      = (x - 0.5)² - 0.25 - 6

      = 1(x - 0.5)² - 6.25

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∆ABC is an equilateral triangle. Point P is on base BC such that <br>PC = 1 /3 BC. If AB = 12 cm, find AP
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How do you write this number using words? 200,243
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Please help asap (30 ponts)
Ierofanga [76]

Answer:

If f(x)=3(x+5)+\frac{4}{x} we get \mathbf{f(a+2)=\frac{3a^2+27a+46}{a+2}}

Step-by-step explanation:

We are given the function: f(x)=3(x+5)+\frac{4}{x} we need to find the value of f(a+2)

For finding the value of f(a+2) we will put x= a+2

We have f(x)=3(x+5)+\frac{4}{x}

Put x = a+2

f(a+2)=3(a+2+5)+\frac{4}{a+2}\\Solving:\\f(a+2)=3(a+7)+\frac{4}{a+2}\\Taking\:LCM\\f(a+2)=\frac{3(a+7)(a+2)+4}{a+2}\\f(a+2)=\frac{3(a^2+2a+7a+14)+4}{a+2}\\f(a+2)=\frac{3(a^2+9a+14)+4}{a+2}\\f(a+2)=\frac{3a^2+27a+42+4}{a+2}\\f(a+2)=\frac{3a^2+27a+46}{a+2}

So, If f(x)=3(x+5)+\frac{4}{x} we get \mathbf{f(a+2)=\frac{3a^2+27a+46}{a+2}}

8 0
3 years ago
Solve algebraically <br> 8x + 4y = 48<br> 12x + 5y = 21
Lorico [155]

Answer:

x=-\frac{39}{2}\\ y=51

Step-by-step explanation:

8x+4y=48\\12x+5y=21

Let's solve the first equation for x or y. I'll do it for y.

8x+4y=48

Subtract 8x

4y=-8x+48

Divide by 4.

y=-\frac{8}{4}x+\frac{48}{4}\\

Simplify.

y=-2x+12

Now replace the value of y in the second equation for this.

12x+5y=21\\12x+5(-2x+12)=21

Distribute 5

12x-10x+60=21

Subtract 60

12x-10x=21-60

Combine like terms;

2x=-39

Divide by 2.

x=-\frac{39}{2}

Now replace this in any of the equations to find the value of y.

8x+4y=48\\8(-\frac{39}{2})+4y=48\\

8 and 2 can be simplified.

8/2=4

2/2=1

4(-39)+4y=48

Distribute 4.

-156+4y=48

Add 156

4y=48+156\\4y=204

Divide by 4

y=\frac{204}{4}

y=51

Proof:

8x+4y=48\\8(-\frac{39}{2} )+4(51)=48\\4(-39)+204=48\\-156+204=48\\48=48

7 0
3 years ago
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