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2 years ago

F(x) = x^2 - 5 g(x) = 4x - 4 Find (f-g) (5)

Mathematics

2 answers:

Verizon [17]2 years ago

4 0

Hope this will help you

Have a nice day Ahead

Lynna [10]2 years ago

4 0

Answer:

$f(x) = {x}^{2} - 5 \\ \\ g(x) = 4x - 4 \\ \\ find \: (f - g)x \\ \\ (f - g)(x) = ( {x}^{2} - 5)(4x - 4) \\ \\ = {x}^{2} - 4x + 4 \\ \\ (f - g)(x) = {x}^{2} - 4x - 1 \\ \\ (f - g)(5) = {(5)}^{2} - 4(5) - 1 \\ \\ = 4$

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Two buses leave towns 576 kilometers apart at the same time and travel toward each other. One bus travels 12

KIM [24]

Answer:

Rate of slower bus; 90 km/h

Rate of faster bus; 102 km/b

Step-by-step explanation:

We know that formula do distance is;

Distance = speed/time

We are told that One bus travels 12h slower than the other.

Let speed of slower bus be x.

Thus;

Speed of faster bus = x + 12

Speed of slower bus = x

After 3 hours, distance by faster bus = 3(x + 12)

Speed of slower bus = 3x

Since the towns are 576 km apart, then;

3(x + 12) + 3x = 576

Divide through by 3 to get;

x + 12 + x = 192

2x + 12 = 192

2x = 192 - 12

2x = 180

x = 180/2

x = 90 km/h

Faster bus speed = 90 + 12 = 102 km/h

8 0

2 years ago

Whats 1/4 of 1/11 pls hurry

Lelechka [254]

Answer:

0.0227272727

Step-by-step explanation:

what I got on calculator

8 0

2 years ago

Please help meeeeeeeeeee

mixas84 [53]

Answer:

x=72

y=54

Step-by-step explanation:

1st question. y=54 because it is a bisector of the 108 degree angles. (a polygon's interior angles add to number of sides minus 2 times 180)

There are two ys, so they add up to 108. A triangle's interior angles add to 180. 180-108 =72 x=72

2nd question, x is 72 ( it says x is the same measure) so 180-72=2y.

y still equals 54

4 0

3 years ago

Read 2 more answers

Use the given information to find the unknown value:y varies directly as the square of z. When x = 2, then y= 20. Find y when 2

Vladimir79 [104]

Answer

y = 45 when x = 3

Step-by-step explanation:

$\begin{gathered} \text{Given that y varies directly as the square of x} \\ \text{This implies that there is a positive relationship betwe}en\text{ y and the square of z} \\ \text{Mathematically, this can be expressed as} \\ y\text{ }\propto x^2 \\ To\text{ turn this expression into an equation, we n}eed\text{ to introduce a proportionality constant k} \\ y=kx^2 \\ \text{ According to the question, y = 20 and x = 2} \\ \text{From the above informaion we can find our k} \\ y=kx^2 \\ 20\text{ = k }\cdot2^2 \\ 20\text{ = k }\cdot\text{ 4} \\ \text{Divide both sides by 4} \\ \frac{20}{4}\text{ = }\frac{k\cdot\text{ 4}}{4} \\ k\text{ = 5} \\ \text{ Find y when }x\text{ = 3} \\ y=kx^2 \\ y\text{ = 5 }\cdot(3)^2 \\ y\text{ = 5 }\cdot\text{ 9} \\ y\text{ = 45} \end{gathered}$

8 0

1 year ago

4. The directrix of the parabola 12(y + 3) = (x-4)2 has the equation y=-6. Find the coordinates of

Sveta_85 [38]

The coordinates of the focus of the parabola are (4 , 0)

Step-by-step explanation:

The standard form of the equation of the parabola is

(x - h)² = 4p(y - k), where

The vertex of the parabola is (h , k)
The focus is (h , k + p)
The directrix is at y = k - p

∵ The equation of the parabola is 12(y + 3) = (x - 4)²

- The form of the equation is (x - h)² = 4p(y - k), compare

between them to find h, k and p

∴ h = 4

∵ - k = 3

- Multiply both sides by -1

∴ k = -3

∵ 4p = 12

- Divide both sides by 4

∴ p = 3

∵ The coordinates of the focus are (h , k + p)

∵ h = 4 , k = -3 , p = 3

∴ k + p = -3 + 3

∴ k + p = 0

∴ The focus is (4 , 0)

The coordinates of the focus of the parabola are (4 , 0)

Learn more:

You can learn more about the equation of the parabola in brainly.com/question/9390381

#LearnwithBrainly

5 0

2 years ago