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4 years ago

1. Which equation is equivalent to the equation 6x + 9 = 12?

Mathematics

2 answers:

maks197457 [2]4 years ago

7 0

Answer:

Step-by-step explanation:

I've already answered this question.

Dennis_Churaev [7]4 years ago

5 0

The answer is B. You first have to solve for x. First you subtract 9 from both sides and get

6x= 3. Then divide both sides by 6 and you’ll get x= 1/2. In each answer you substitute 1/2 for x. You’ll see that in B, 2x+3= 4, if you substitute in 1/2, you get 2(1/2)+3= 4, which equals 1+3=4, which is true.

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What is the solution to this equation?

sattari [20]

Answer:

Step-by-step explanation:

x - 9 = 17

x = 26

the answer is D

4 0

4 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.

5 0

3 years ago

WILL GIVE A BRAINLIEST IF YOURE RIGHT PLEASE HELP ASAP!!

murzikaleks [220]

the greatest possible error for meters is 1/2 the increments

since 18.9 is to the tenths place

1/2 x 1/10 = 0.05

so greatest possible error for 18.9 is 0.05m

8 0

3 years ago

Positive or negative. (-4)(-4)(-4)

olga55 [171]

Negative.

-*-=+

-*-*-=-

6 0

3 years ago

A researcher wished to gauge public opinion on gun control. He randomly selected 1000 people from amongst all registered voters

SCORPION-xisa [38]

Answer:

loaded question

Step-by-step explanation:

The question is biased with an opinion that directs the surveyed people to respond by a negative answer.

The problematic part is "which restrict the ability of Americans to protect their families". That's a judgement value and an opinion that prevents the people to give an honest answer to the base question.

"Do you believe that gun control laws should be eliminated?", would be a more correct version of that biased question. An even better question would be to identify a specific law in the question.

5 0

4 years ago