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3 years ago

What is the range of the function g(x) = |x – 12| – 2?

2 answers:

3 0

Your function is |x-h|+k where (h,k) is the vertex and the range will be greater than or equal to the y value of the vertex or k. So the range is greater than or equal to -2. This means the none of the answer choices are correct since none of them give the option of greater than or equal to. Seems to be an error though as both the top two answers and the bottom two are exactly the same.

katrin [286]3 years ago

3 0

The correct answer would be B in this case, he was just not able to put down a greater than or equal to sign. B.-y l y≥ -2

You might be interested in

There are 7800 grams of lodine that have a half-life of 8 days. How much lodine will remain after 40 days?

anygoal [31]

Given that we know the initial mass of Iodine and its half-life, we want to see how much will remain after 40 days.

After 40 days, 244.17 grams of Iodine will remain.

<h3 /><h3>The half-life of materials and how to use it:</h3>

The half-life of a material is the time it takes for that amount of material to reduce to its half.

We can model the amount of Iodine as:

A(t) = A*e^{k*t}

Where A is the initial amount, in this case, 7800g.
k is a constant that depends on the half-life.
t is the time in days.

Replacing what we know, we get:

A(t) = 7800g*e^{k*t}

Now we use the fact that the half-life is 8 days, this means that:

e^{k*8} = 1/2

ln(e^{k*8}) = ln(1/2)

k*8 = ln(1/2)

k = ln(1/2)/8 = -0.0866

Then the function is:

A(t) = 7800g*e^{-0.0866*t}

So now we just need to evaluate this in t = 40.

A(40) = 7800g*e^{-0.0866*40} = 244.17g

So, after 40 days, 244.17 grams of Iodine will remain.

If you want to learn more about half-life and decays, you can read:

brainly.com/question/11152793

3 0

2 years ago

What is 2+2+6+5x7? Points to whoever can answer! (:

babunello [35]

Answer:

I have a $60 yearly membership with something

3 0

3 years ago

Read 2 more answers

it took heather 2/3 of an hour to read 20 pages in her library book. how long did it take her to read one page

NNADVOKAT [17]

2/3 hour . 1 hour = 60 minutes.

2/3 hour = (2/3) * 60

= 40 minutes.

20 pages took (2/3) hour = 40 minutes.

20 pages took her 40 minutes to read.

1 page = 40/20 = 2 minutes.

1 page took her 2 minutes to read.

6 0

3 years ago

The length of a sticky note measures 77 millimeters.express this length in meters explain your thinking include an equation with

Eva8 [605]

The length of the sticky notes is $\bf77\times{10^{-3}}{\text{meter}}$ .

Further explanation:

Given:

The length of sticky notes is measured as 77 millimeters.

Calculation:

Since 1 meter contains 1000 mm, it can be written as follows:

$\begin{aligned}1000{\text{mm}}&\to{\text{1meter}}\\{\text{1mm}}&\to\frac{{\text{1}}}{{1000}}{\text{meter}}\\{\text{1mm}}&\to{10^{-3}}{\text{meter}}\\x\,{\text{mm}}&\to x \times {10^{-3}}{\text{meter}} \\ \end{aligned}$

Now, substitute 77 for x in above expression to obtain the length of sticky notes in meter as follows:

$77\,{\text{mm}}\to77\times{10^{-3}}{\text{meter}}$

Thus, the length of the sticky notes is $\bf77\times{10^{-3}}{\text{meter}}$ .

Learn more:

1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}

brainly.com/question/1632445

2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12

brainly.com/question/1473992

3. what are the domain and range of the function f(x) = 3x + 5?

brainly.com/question/3412497

Answer Details :

Grade: Middle School

Subject: Mathematics

Chapter: linear equation

Keywords:

Millimeters, meter, equation, sticky notes, measurements, length, function, substitution, Mexico, site, direct substitution, elimination, graph, middle term factorization, scientific notation.

3 0

3 years ago

Read 2 more answers

If you invested $600 at 3% simple interest for 2 years, how much interest do you earn? Show work and answer in complete sentence

zzz [600]

Answer:

I would rather do the second option of which uses Compound interest that will give a profit of $47.85

Step-by-step explanation:

In this problem we will be exploring the two formulas

1. simple interest

A= P(1+r*t)

2. compound interest

A= P(1+r/n)^nt

Where A= final amount

P= initial amount

r= rate

t= time.

n= number of periods Compounded

1.given data

P= $600

r= 3%= 3/100= 0.03

t= 2 years

A= 600(1+0.03*2)

A= 600(1+0.06)

A= 600(1.06)

A= $636

Interest = 636-600= $36

2. Given data

P= $600

r= 4%= 4/100= 0.04

n= 24

t= 2

A= 600(1+0.04/24)^24*2

A=600(1+0.0016)^48

A=600(1.0016)^48

A= 600*1.07975

A= 647.85

Interest = 647.85-600= $47.85

7 0

3 years ago