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2 years ago

Whitch ordered pairs are solutions to the inequality y-4x≤-6

Mathematics

2 answers:

konstantin123 [22]2 years ago

6 0

Answer:

y </ 4x - 6

Step-by-step explanation:

nalin [4]2 years ago

3 0

Answer:

4xM-3 is the asnr

Step-by-step explanation:

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One faucet fills up a bathtub in 15 minutes while the second fills it up in 10 minutes. If both faucets are turned on, what frac

yaroslaw [1]

Faucet one fills up $\frac{1}{15}$ of the bathtub in one minute and faucet two fills up $\frac{1}{10}$ of the bathtub in one minute. If both are one then they will fill up $\frac{1}{15}+ \frac{1}{10} = \frac{5}{30} = \frac{1}{6}$ So, 1/6 of the bathtub in one minute.

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2 years ago

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Check all of the expressions that are equal to the one below. (-8). (4 + 6) O A. (6 + 4) • (8) B. (-8) • 4 + (-8) - 6 O C. (4+6)

olasank [31]

Answer:

1 is, 2 is, 3 isn't, 4 isn't

Step-by-step explanation:

Some answers may not add up the same way!

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2 years ago

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kotegsom [21]

What is your question

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2 years ago

A biologist is studying the growth of a particular species of algae. She writes the fall inclusion to show the radius of the alg

horrorfan [7]

Answer:

Part A)

A reasonable domain to plot the growth function is:

$0\leq d \leq 12$

Part B)

The y-intercept represents that when the biologist started her study, the radius of the algae was five millimeters.

Part C)

The average rate of change from d = 4 to d = 11 was about 0.11. This means that from the 4th day to the 11th, the radius of the algae grew, on average, at a rate of 0.11 mm per day.

Step-by-step explanation:

The radius of the algae f(d) in millimeters after d days is given by the function:

$f(d)=5(1.02)^d$

Part A)

We know that the radius of the algae was approximately 6.34 mm when the biologist concluded her study. To find the reasonable domain, we can substitute 6.34 for f(d) and solve for d. Therefore:

$6.34=5(1.02)^d$

Divide both sides by five:

$(1.02)^d=1.268$

Take the log of both sides with base 1.02:

$\displaystyle d=\log_{1.02}1.268$

Using the Change of Base Property, evaluate for d:

$\displaystyle d=\frac{\log 1.268}{\log 1.02}=11.9903...\approx 12$

So, the biologist concluded her study after 12 days.

Therefore, a reasonable domain to plot the growth function is:

$0\leq d\leq 12$

Part 2)

The y-intercept of the function is when d = 0. Find the y-intercept:

$f(0)=5(1.02)^{(0)}=5(1)=5$

Since d represent the amount of days after the study had begun, the y-intercept represents the radius of the algae on the initial day.

So, when the biologist started her study, the radius of the algae was five millimeters.

Part 3)

To find the average rate of change for a nonlinear function, we find the slope between the two endpoints on the interval.

We want to find the average rate of change of f(d) from d = 4 to d = 11.

Find the endpoints:

$f(4)=5.4121...\text{ and } f(11)=6.2168...$

And find the slope between them:

$\displaystyle m=\frac{f(11)-f(4)}{11-4}=0.1149...\approx 0.11$

Since f(d) measures millimeters and d measures days, this tells us that, on average, the radius of the algae grew by about 0.11 mm per day from the 4th day to the 11th day.

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1 year ago

Write 2.3181818... as a mixed number.

AlexFokin [52]

The answer is 2 7/22

7 0

2 years ago