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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)

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

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A square with side lengths of 3x + 3. An equilateral triangle with side lengths of 5 x + 0.5. The perimeters of the square and t

aleksklad [387]

Answer:

1) 4(3x+3)=3(5x+0.5)

2) 3.5

3) 54 units

4 0

3 years ago

Read 2 more answers

So i basically have to put true or false, please give me the right answer:

4vir4ik [10]

Answer:

Yes, No, Yes, No.

Step-by-step explanation:

3 0

3 years ago

The sum of the measures of two adjacent angles is 72 degrees. The ratio of the smaller angle to the

Goryan [66]

Answer:

The larger angle is 54°

Step-by-step explanation:

Given

Let the angles be: θ and α where

θ > α

Sum = 72

α : θ = 1 : 3

Required

Determine the larger angle

First, we get the proportion of the larger angle (from the ratio)

The sum of the ratio is 1 + 3 = 4

So, the proportion of the larger angle is ¾.

Its value is then calculated as:.

θ = Proportion * Sum

θ = ¾ * 72°

θ = 3 * 18°

θ = 54°

4 0

2 years ago

Lily, Louis, and Ben went to an arcade and won tokens for prizes. Louis won 4.5 times as many tokens as Ben. Lily won 8 more tok

lana66690 [7]

The expression that describes the number of tickets won by Lily is:

a = 8 + 4.5c where "a" is the number of tokens won by Lily and "c" is the number of tokens won by Ben

Solution:

Given that Lily, Louis, and Ben went to an arcade and won tokens for prizes

Let "a" be the number of tokens won by Lily

Let "b" be the number of tokens won by Louis

Let "c" be the number of tokens won by Ben

Given that Louis won 4.5 times as many tokens as Ben

So we can frame a equation as:

number of tokens won by Louis = 4.5 times as many tokens as Ben

number of tokens won by Louis = 4.5 x number of tokens won by Ben

$b = 4.5 \times c$

b = 4.5c

Given that Lily won 8 more tokens than Louis

number of tokens won by Lily = 8 + number of tokens won by Louis

a = 8 + b

Substituting the value of b = 4.5c in above expression

a = 8 + 4.5c

Thus the expression that describes how many tokens Lily won is found

7 0

3 years ago

Find the vertex of the graph of f(x) = x2 + 4x - 5.

Fofino [41]

You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
$\frac{df}{dx}=2x+4$
Solve the equation:
$2x+4=0$
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
$(-2)^2+4 \cdot (-2)-5=4-8-5=-9$

You get the same answer: x=-2, y=-9

So the answer is
B. (-2, -9)

7 0

3 years ago