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3 years ago

If f(x) = 3x^2 +1 and g(x) = 1-x, what is the value of (f-g)(2)

Mathematics

1 answer:

aleksley [76]3 years ago

8 0

Answer:

Step-by-step explanation:

Let's find (f-g)(x)

$3x^{2} + 1 - (1-x)\\3x^{2} + 1 -1 + x\\3x^{2} + x$

Now let's plug in x=2, so to find (f-g)(2)

$3(2)^{2} + 2\\12 + 2 = 14$

You might be interested in

Three fourths of a number p less subtracted by 2 is 5 sixths of a number r plus 5

goldenfox [79]

Three fourths of a number p less subtracted by 2 is 5 sixths of a number r plus 5

3/4 of p subtracted by 2 is 5/6 of a r plus 5

3/4 of p - 2 is 5/6 of r + 5

$\frac{3}{4} p-2= \frac{5}{6} r+5$ <--- answer?

$\frac{3}{4} p= \frac{5}{6} r+7$

$\frac{3p}{4} = \frac{5r}{6} +7$

$\frac{3p}{4}* \frac{6}{5r} = 7$

$\frac{18p}{20r} = 7$

$\frac{9p}{10r} = 7$

$\frac{p}{r} = 7* \frac{10}{9}$

$\frac{p}{r} = \frac{70}{9}$ <-- answer?

Hope this helps

5 0

3 years ago

Prove that for every pair of integers m and n, if n − m is even, then n 2 − m is also even. (You may freely use the fact that th

Romashka [77]

Answer with Step-by-step explanation:

We are given that n and m are two integers

We have to prove that if n-m is even , then $n^2-m$ is also even.

We know that sum of two odd numbers is even.Sum of an odd number and even number is odd.

Product of an odd number and even number is even.

Case 1.Suppose m and n are both even n=4 , m=2

$4-2=2$

$(4)^2-2=14 =Even$

Case 2.Suppose m odd and n odd

n=9,m=5

$9-5=4$

$(9)^2-5=76=Even$

Hence, proved.

7 0

3 years ago

Find the first four terms of the sequence given by the following. aₙ=43-3(n-1) n=1,2,3. . .

Serggg [28]

Given :-

The general term of a sequence is given by aₙ=43-3(n-1) .

To Find :-

The first four terms of the sequence.

Solution :-

The given expression is $/$

→ aₙ=43-3(n-1)

where n > 0

Finding the first term :

Substituting n = 1 , we have ,

→ T1 = 43 - 3(1-1)

→ T1 = 43 - 3*0

→ T1 = 43 - 0 = 43

Finding the second term :

Substituting n = 2 , we have,

→ T2 = 43 -3(2-1)

→ T2 = 43 -3*1

→ T2 = 43 -3 = 40

Finding the third term :

Substituting n = 3 , we have,

→ T3 = 43 -3(3-1)

→ T3 = 43 -3*2

→ T3 = 43 -6 = 37

Finding the fourth term :

→ T4 = 43 -3(4-1)

→ T4 = 43 -3*3

→ T4 = 43-9 = 34

Hence the first four terms of the sequence are 43 , 40 , 37 and 34 .

I hope this helps . Let me know if you need further clarification .

7 0

2 years ago

Lilly is a pizza driver. Lilly has to make 4 deliveries.

Veronika [31]

Answer:

23 min 30 sec

Step-by-step explanation:

First, you add 35 + 14 + 18 + 27 which is 94.
Next, you divide 94 by the number of deliveries there were. Which is 4.
94/4 = 23.5.
So your answer would be 23 minutes and 30 seconds.

I Hope This Helped :D

5 0

2 years ago

Read 2 more answers

Evaluate the expression t-6/4 for t =38

Finger [1]

Answer:

Exact Form:

73 over 2

Decimal Form:

36.5

Mixed Number Form:

36 1 over 2

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

8 0

3 years ago