MATHEMATICS COLLEGE

On a coordinate plane, an absolute value graph has a vertex at (1, negative 2.5). The graph shows the function f(x) = |x – h| + k. What is the value of k? k = –2.5 k = –1 k = 1 k = 2.5

Answers

Answer 1

Answer:

9514 1404 393

Answer:

(a) k = –2.5

Step-by-step explanation:

When the function f(x) is transformed to f(x -h) +k, the graph is translated h units right and k units up.

If the absolute value function has its original vertex of (0, 0) moved to (1, -2.5), then (h, k) = (1, -2.5).

The value of k is -2.5.

_____

Additional comment

The above answer applies to the given problem statement. The question asked in the comment has a vertex of (0, 2.5), so (h, k) = (0, 2.5) for that question.

If you're going to copy the answer, make sure it is the answer to the question you're looking at.

Answer 2

Answer:

In an absolute value function expressed as f(x) = |x – h| + k, the value of k corresponds to the y-coordinate of the function's vertex. In this case, as the vertex is at the point (1, -2.5), the value of k is -2.5.

The student's question relates to the concepts of Two-Dimensional (x-y). Graphing and the graphing of the absolute value function. It is vital to remember that the vertex of an absolute value graph in the form f(x) = |x – h| + k corresponds to the point (h, k) on the Cartesian coordinate plane. The student states that the vertex is at the point (1, -2.5), so based on our function analysis, the value of k, which represents the y-coordinate of the vertex, is -2.5. Therefore, the correct answer is k = -2.5.

For more about Absolute Value Graph here:

brainly.com/question/19848212

#SPJ3

Related Questions

Someone hurry and help plsss
John drives 257 miles and uses 9 gallons of gas. How many miles per gallon did he get?
I need helllppppppllsssss
A study is given in which scientists examined data on mean sea surface temperatures (in degrees Celsius) and mean coral growth (in millimeters per year) over a several-year period at different locations. Here are the data: Sea Surface Temperature 29.69 29.87 30.16 30.22 30.48 30.65 30.80 Growth 2.63 2.57 2.67 2.50 2.47 2.38 2.25 Required:a. Find the mean and standard deviation of both sea surface temperature x and growth y and the correlation r between x and y. b. Find the least-squares line. The result should agree with your work in part (a) up to roundoff error. (Round your answers to three decimal places.)c. Say in words what the numerical value of the slope tells you.
A rectangle has a length of 12 m and a width of 400cm. What is the perimeter of the rectangle?

Which division problem does the number line below best illustrate?A. 10 divided by 2= 5
B. 15 divided by 3= 5
C. 50 divided by 5= 10
D. 20 divided by 10= 2

Answers

Answer:

A. 10 divided by 2=5 i think

Step-by-step explanation:

it look like it is

Solve the equation
2.5y +6 =4.5y -1

Answers

Answer:

Step-by-step explanation:

4.5y - 1 = 2.5y + 6

2y - 1 = 6

2y = 7

y = 7/2 or 3.5

Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)

Answers

Answer:

Step-by-step explanation:

(a+b)h / 2

(9+15)6 / 2

24 x 6 / 2

I hope im right!!

Suppose that the US plans to send a shipment of "rovers" to Mars. These are mobile robots, programmed to collect rock and soil samples, and then return to the landing site. The rovers operate independently of each other. The mean weight a rover is programmed to collect is 50 pounds, and the standard deviation of weights is 5 pounds. Weights collected by rovers are approximately normally distributed. If the US sends 10 rovers, what is the probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds? What sampling distribution should we use to compute this probability?

Answers

Answer:

79.24% probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds

We use the sampling distribution of the sample means of size 10 to solve this question, by the Central Limit Theorem. They are normally distributed with mean 50 and standard deviation 1.58.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = (\sigma)/(√(n))$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 50, \sigma = 5, n = 10, s = (5)/(√(10)) = 1.58$

What is the probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds?

This is the pvalue of Z when X = 52 subtracted by the pvalue of Z when X = 48. So

X = 52

$Z = (X - \mu)/(\sigma)$

By the Central Limit Theorem

$Z = (X - \mu)/(s)$

$Z = (52 - 50)/(1.58)$

$Z = 1.26$

$Z = 1.26$ has a pvalue of 0.8962

X = 48

$Z = (X - \mu)/(s)$

$Z = (48 - 50)/(1.58)$

$Z = -1.26$

$Z = -1.26$ has a pvalue of 0.1038

0.8962 - 0.1038 = 0.7924

79.24% probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds

What sampling distribution should we use to compute this probability?

We use the sampling distribution of the sample means of size 10 to solve this question, by the Central Limit Theorem. They are normally distributed with mean 50 and standard deviation 1.58.

The speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth. About how many seconds does it take light to travel from Sirius to Earth? Write your answer in scientific notation, rounded to the nearest hundredth.

Answers

The number of seconds it takes light to travel from Sirius to Earth is $2.72*10^(8)$ .

Given that, the speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth.

We need to find out how many seconds it takes light to travel from Sirius to Earth.

What is scientific notation?

To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.

If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.
If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative.

Let the number of seconds it takes light to travel from Sirius to Earth be n seconds

Now, the proportion= $(1.86*10^(5))/(1) =(5.062*10^(13))/(n)$

⇒ $n=(5.062*10^(13))/(1.86*10^(5))$

⇒ $n=2.72*10^(13-5)=2.72*10^(8)$

Therefore, the number of seconds it takes light to travel from Sirius to Earth is $2.72*10^(8)$ .

To learn more about scientific notation visit:

brainly.com/question/18073768.

#SPJ2

Answer:

2.72 × 10^8 seconds

Step-by-step explanation:

1. Organize the given information to help you create the equation:

- Light travels 1.86 × 10^5 miles per 1 second

- Light travels 5.062 × 10^13 miles per n seconds

- Need to solve for n

2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):

$(1.86 * 10^5)/(1)$ = $(5.062 * 10^1^3)/(n)$

3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)

n × (1.86 × 10^5) = 5.062 × 10^13

4. Solve for n by isolating the variable and dividing.

$(n (1.86 * 10^5))/(1.86 * 10^5)$ = $(5.062 * 10^1^3)/(1.86 * 10^5)$

n = $(5.062 * 10^1^3)/(1.86 * 10^5)$

n = 2.72 × 10^8 (Make sure to include the unit, seconds)

What is the answer to this problem and why 60+60×0+1=

Answers

The answer is 61 because 60+60=120*0=0=1=61

60 + 60 x 0 + 1 = 61

Let's go into the, "why" part!

Try to remember this mnemonic:
PEMDAS

Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction

This is what is called the ORDER of OPERATIONS!

Normally you go straight down the list, but...
Keep in mind that Multiplication and Division are on the same priority. Same with Addition and Subtraction.

So first we look to see if there is any numbers in parenthesis. There is not. Any exponents? Nope!
How about Multiplication or Division?
Yep!!!!! Bingo!

60 + 60 x 0 + 1= ?

Do the multiplication first. 60 x 0 = 0 (Because anything times 0 equals 0)

Addition and subtraction come next!

60 and 0 are out so we are left with!

60 + 1 = ?

61!

Other Questions

‼️‼️‼️‼️‼️‼️‼️‼️HELP PLEASE ASAP ‼️‼️‼️‼️‼️‼️

A small toy car costs $3 a large toy car cost 5 times as much as the small one.

Help :,)(both questions)

How to divide this? WITH SOLUTION i need the answer plss