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3 years ago

Select the correct answer.

Mathematics

1 answer:

Reika [66]3 years ago

5 0

f(x) = 2x² + 3x

g(x) = x - 2

We are given these two equations. (f+g)(x) will just be the sum of both f(x) and g(x).

f(x) + g(x) = (f+g)(x)

= 2x² + 3x + x - 2

= 2x² + 4x - 2

Now, just substitute x = 2 into this equation to get (f+g)(2)

2(2)² + 4(2) - 2

= 8 + 8 - 2

= 14

That should be your answer. Let me know if you need any clarifications, thanks!

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The scientist creates an equation that models her data for each tree so that she can predict the diameter in the future. Complet

otez555 [7]

Answer:

y = 0.3X + 18.3

Step-by-step explanation:

Given that data :

x = year ;

y = trunk diameter, in inches

Year ________trunk diameter

1 __ 18.6

3 __ 19.2

5 __ 19.8

7 __ 20.4

9 ___21.0

11 __ 21.6

13 __ 22.2

Using the linear regression calculator :

The linear equation obtained is :

y = 0.3X + 18.3

Where ;

Slope = 0.3 ; intercept, c = 18.3

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3 years ago

Can someone help me :(

White raven [17]

Answer:

19 ft.

Step-by-step explanation:

Pytahgorean theorm. A^2 + B ^2 = C^2

49 + 100 = 149

Square root the 149, which is ~12

That means the hypotenuse is twelve feet, and with the base of the pole being seven, the pole was originally 19 feet tall.

4 0

3 years ago

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NEED HELP! ASAP! 50 POINTS!

Lerok [7]

Answer:

$y=13\text{ miles per gallon}$

Step-by-step explanation:

We have the two points: (0, 11) and (3, 50).

And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.

In simple terms, we want to find the slope between the two points.

So, let's use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:

$y=\frac{50-11\text{ miles}}{3-0\text{ gallons}}$

Subtract and reduce:

$y=39\text{ miles}/3\text{ gallons}=13\text{ miles per gallon}$

And we're done!

6 0

3 years ago

On a recent day, 8 euros were worth $9 and 24 euros were worth 27.

nikitadnepr [17]

This question is incomplete, here is the complete question:

On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars.

The equation that represents the relationship between the number of euros and the value in dollars is y = 1.125 x

Step-by-step explanation:

On a resent day;

8 euros were worth $9

24 euros were worth $27

We need to write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars

∵ The form of the equation is y = kx, where x is the number of

euros and y is the value in dollars

∵ 8 euros were worth $9

∴ (8 , 9) is an ordered pair belong to the equation

∵ 24 euros were worth $27

∴ (24 , 27) is another ordered pair belong to the equation

To find k substitute x and y in the equation by the coordinates of one of these two points

∵ x = 8 and y = 9

∵ y = kx

∴ 9 = 8k

- Divide both sides by 8

∴ 1.125 = k

- Substitute the value of k in the equation

∴ y = 1.125 x

To check the equation substitute x by the x coordinate of the 2nd point if it gives the same value of the y-coordinate of the point then the equation is true

∵ x = 24

∵ y = 1.125 x

∴ y = 1.125(24)

∴ y = 27 the same value of the y-coordinate of the point

∴ The equation is true

The equation that represents the relationship between the number of euros and the value in dollars is y = 1.125 x

Learn more:

You can learn more about the linear equation in brainly.com/question/4326955

#LearnwithBrainly

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3 years ago

A bus travels through the city and stops every mile. The first stop on the route is the 8th Avenue Coffee Shop, which is located

ycow [4]

<span>The student apparently added numbers without taking into account direction. They seem to have added 15 and 25 and divided by 2 to get the horizontal component of the middle stop when they should have added 15 and -25 and divided by 2. A similar mistake was made on determining the vertical component. The middle stop should have been calculated as 5 blocks west and 7 blocks south of the central station. So your answer is C.</span>

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3 years ago

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