1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Triss [41]
2 years ago
10

What is the rate of change of y=-4/9x+5

Mathematics
1 answer:
WARRIOR [948]2 years ago
8 0

Answer:

Rate of change of y is -  \frac{4}{9}

Step-by-step explanation:

y =  -  \frac{4}{9} x + 5 \\  \\ differentiating \: with \: respect \: to \: x \\  \\  \frac{dy}{dx}  =  -  \frac{4}{9} \frac{d}{dx} x +  \frac{d}{dx} 5 \\  \\  \frac{dy}{dx}  =  -  \frac{4}{9} .1 +  0 \\  \\  \huge \red{\frac{dy}{dx}  =  -  \frac{4}{9} } \\  \\ rate \: of \: change \: of \: y =-  \frac{4}{9}

You might be interested in
What are the domain restrictions of the expression g2−7g+10g3−6g2+8g ? Select each correct answer.
Sauron [17]

Answer with Step-by-step explanation:

We are given that an expression

f(g)=\frac{g^2-7g+10}{g^3-6g^2+8g}

We have to find domain restriction of the given function.

f(g)=\frac{(g-5)(g-2)}{g(g-4)(g-2)}

Domain restriction means : It is that value of x when substitute in function then  function will  not defined.

It means it is that values which makes denominator zero.

From given function we can see that

When substitute g=0 then it makes denominator zero.

Hence, the function is not defined at g=0

Substitute g=4

Then, it makes denominator zero.

Hence, function is not defined  at g=4

Substitute g=2

Then,it  makes denominator zero.

Hence, function is not defined  at g=2

Therefore, the function is defined for all values of g except g=0, g=2 and g=4

5 0
3 years ago
If a single card is drawn from a standard 52-card deck, what is the probability that it is an ace or a spade?
klasskru [66]

A 52-card deck is made up of an equal number of diamonds, hearts, spades, and clubs. Because there are 4 suits, there is a 1/4 chance to draw one of them, in our case, spades.

There are 4 aces in a 52-card deck, so the chance of drawing one is 4/52, or 1/13.

The question asks for the probability of drawing an ace or a spade. Because it uses the word "or," we add the probabilities together. This is because there is a chance of drawing either of the cards; it doesn't have to meet both requirements to satisfy the statement.

However, if the question were to say "and," we would multiply the two probabilities.

Let's add 1/4 and 1/13. First, we can find a common denominator. We can use 52 because both fractions can multiply into it (since the ratio came from a deck of 52 cards as well).

\frac{1}{4} -- > \frac{13}{52}

\frac{1}{13} -- > \frac{4}{52}

Now we can add them together.

\frac{13}{52} + \frac{4}{52} = \frac{13+4}{52} = \frac{17}{52}

This cannot be simplified further, so the probability is 17 in 52, or 33%.

hope this helps!

7 0
1 year ago
Read 2 more answers
6. Multiply: i) 3x (5x+8y)
Stella [2.4K]

Answer:

Step-by-step explanation:

3x(5x+8y)=15x^2+24xy

4x(3x^2+5x-7)=12x^3+20x^2-28x

(3x+4y)(2x-7y)=6x^2+8xy-21xy-28y^2=6x^2-13xy-28y^2

(2-3a)(2a^2-3a+7)=4a^2-6a+14-6a^3+9a^2-21a=-6a^3+13a^2-27a+14

4 0
3 years ago
Abigail has a cylindrical candle mold with the dimensions shown. If Abigail has a rectangular block of wax measuring 15 cm by 12
luda_lava [24]

Find the volume of the candle using the formula for volume of a cylinder:

V = PI x r^2 x h = 3.14 x 3.4^2 x 6 = 217.79 cubic cm. Round to 217.8

Find the volume of the block: V = l x w x h = 15 x 12 x 18 = 3,240 cubic cm.

Now divide the volume of the block by the volume of a candle:

3240 / 217.8 = 14.88

Round to the nearest tenth = 14.9 candles.

3 0
3 years ago
What is the rate of change represented in the graph below?
Sever21 [200]

Answer:

I'm confused you did not provide the graph that is referenced on this question...

4 0
2 years ago
Other questions:
  • You are the coach of a basketball team. So far this season, you have collected the following statistics showing how many points
    11·2 answers
  • 7(2x-5)-11=3(5x-2)-2x
    8·1 answer
  • - 1/2 (x+2) + 1 1/2x = 3
    7·1 answer
  • What is the inverse of a function F parentheses X equals 1/9 X +2
    5·1 answer
  • If natalie and her friends decide to rent 4 lanes at reguler cost for a party ten people need to rent shoes and 4 people are mem
    6·1 answer
  • PLEASE HELP ME WITH THIS PROBLEM I HAVE BEEN STUCK ON IT FOR A WHILE!!!
    15·1 answer
  • Can anybody help me on this
    7·1 answer
  • Please solve it's worth 12 points
    14·1 answer
  • A 7-pound box of grapes costs $30.24. What is the price per ounce?
    15·2 answers
  • (b) 1-5 P<br> W<br> I=0+90/1<br> 081=1+0S..<br> 65°<br> f<br> O<br> 32°<br> (c)<br> POE<br> R
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!