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3 years ago

Evaluate the following vertices for the function f(x)=x+2y

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

5 0

Answer:

You might want to see if I read your ordered pairs right because it was really hard to see for me:

f(2,6)=14

f(-1,3)=5

f(6,4)=14

Step-by-step explanation:

I assume they meant to write f(x,y)=x+2y.

Doing f(2,6) now. This means replace x with 2 and y with 6:

f(2,6)=2+2(6)=2+12=14

f(2,6)=14

Doing f(-1,3) now. This means replace x with -1 and y with 3:

f(-1,3)=-1+2(3)=-1+6=5

f(-1,3)=5

Doing f(6,4) now. This means replace x with 6 and y with 4:

f(6,4)=6+2(4)=6+8=14

f(6,4)=14

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The function of x is $\bold{\frac{-1x}{2}}$ .

<u>SOLUTION:</u>

Given that, we have to write a linear function f with function of (-4) =2 and function of 6=(−3).

Now, let the linear function be $\text{function of x}=a x+b$

Then, function of -4 = $a(-4)+b \rightarrow 2=-4 a+b \rightarrow b=2+4a \rightarrow (1)$

And, function of 6 = $a(6)+b \rightarrow-3=6 a+b \rightarrow b=-3-6a \rightarrow (2)$

On equating (1) and (2) to find the value of a,

$2+4a=-3-6a$

On grouping the common terms,

$4a+6a=-3-2 \rightarrow 10a=-5 \rightarrow a=\frac{-5}{10}$

$\Rightarrow a=\frac{-1}{2} \rightarrow (3)$

On substituting the value of (3) in (1) we get,

$b=2+4a \rightarrow b=2+4\times\frac{-1}{2} \rightarrow b=2+\frac{-4}{2} \rightarrow b=2+(-2)$

$\Rightarrow b=0$

So, the function of x = $\frac{-1x}{2}+0$

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3 years ago

What is the coeffcients of 3m + 5 = 1

AveGali [126]

The coefficient is 3m

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Find the error in the student's calculation. 2 cubed (2 minus 4) + 5 (3 minus 8). 2 cubed (negative 2) + 5 (5). 8 (negative 2) +

Sergeu [11.5K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question:

Find the error in the student's calculation. 2 cubed (2 minus 4) + 5 (3 minus 8). 2 cubed (negative 2) + 5 (5). 8 (negative 2) + 25. Negative 16 + 25. 9.

The student's error occurred here :

2 cubed (negative 2) + 5 (5)

(3 - 8) will give - 5 and not 5 as Witten by the student. The correct working is stated below :

2³(2 - 4) + 5(3 - 8)

Step 1:

8(-2) + 5(-5)

Step 2:

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Step 3:

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4 years ago

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Answer:

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