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2 years ago

What is the rate of change in y with respect to x in the function x + 5y = 10?

Mathematics

1 answer:

rosijanka [135]2 years ago

7 0

Answer:

-1/5

Step-by-step explanation:

let's put the function in slope intercept form (y = mx + b).

x + 5y = 10

y = - (1/5)x + 2

when the function is in slope intercept form, (m) is the rate of change or the slope.

therefore, the rate of change -1/5

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You go bowling and it costs 20 dollars plus 5 dollars per person (p). Which expression represents the total cost?

HACTEHA [7]

Answer:

ummmmmmmm

Step-by-step explanation:

6 0

3 years ago

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City is located at a height of 138 m above sea level while a town is at a height of 51 m below sea level represent the altitude

hammer [34]

Answer:

189m

Step-by-step explanation:

Altitude of city = 138m. Altitude of town below sea level = 51m. = 189m.

8 0

3 years ago

Water boils at different temperatures at different elevations. The boiling temperature of water is 212 degrees * F sea level (0

Nikolay [14]

Answer:

The elevation when the boiling point of water is $190$ ° $F$ is 12790.70 feet

Step-by-step explanation:

Let every 1,000 feet of elevation be $x$ . Hence, we can write

$T = 212$ $- 1.72x$

Where $T$ is the boiling temperature of water at different elevations

Now, to the determine the elevation when the boiling point of water is $190$ ° $F$ .

We will determine $x$ by putting $T = 190$ ° $F$ .

Hence,

$T = 212$ $- 1.72x$

$190$ $= 212$ $- 1.72x$

$190 - 212$ $= - 1.72x$

$- 22$ $= - 1.72x$

$22 = 1.72x\\x = \frac{22}{1.72} \\x = 12.79070$

Since $x$ represents every 1,000 feet of elevation, then the elevation when the boiling point of water is $190$ ° $F$

$12.79070$ × $1000\\$ $= 12790.70$ feet

Hence, the elevation when the boiling point of water is $190$ ° $F$ is 12790.70 feet

8 0

4 years ago

Type true or false for each situation. 1. 2. 3. 4.

zaharov [31]

Answer:

-true

-false

-true

6 0

3 years ago

Read 2 more answers

If the cos 0=3/5 use the Pythagorean identity to find sin 6

Oksanka [162]

The Pythagorean identity is

sin²Ф + cos²Ф=1

sin²Ф= 1- cos²Ф

Now in the problem we are given that

cos Ф=3/5

Now to find sin Ф, we can plug the value of cos Ф in the identity

sin²Ф= 1- cos²Ф = 1-(3/5)² = 1- 9/25 = (25-9)/25 = 16/25

Sin²Ф= 16/25

take square root on both sides

Now when we take square root on both sides we have to always remember that we will get one positive and one negative answer

Sin Ф = 4/5 or -4/5

3 0

4 years ago