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2 years ago

Which graph represents the function h(x) = 1x1 + 0.5?

Mathematics

2 answers:

slamgirl [31]2 years ago

6 0

Answer:Top right

Step-by-step explanation:

Because they are all the same V shape, we look to the slope for the answer.

Because the Y-intercept in this equation is 0.5, we look for the graph in which it is centered and at 0.5

That would be the top right.

fredd [130]2 years ago

4 0

Answer:

the third one is the one thats correct

Step-by-step explanation:

Because they are all the same, you can't figure it out from the parent function, |x|. As a result, you must calculate it using the y-intercept. The y-intercept of a function is almost always the function's constant.

You might be interested in

A line passes through the point (–7, 5) and has a slope of One-half. Which is another point that the line passes through?

irina1246 [14]

Answer:

(13, 9)

Step-by-step explanation:

Make an equation for the line.

y = 0.5x + b

5 = -3.5 + b

b = 8.5

y = 0.5x + 8.5

Plug them into the equation.

(-13, 9) 9 ≠ -6.5 + 8.5

(-9, 13) 13 ≠ -4.5 + 8.5

(9, 13) 13 = 6.5 + 8.5

(13, 9) 13 ≠ 4.5 + 8.5

7 0

3 years ago

Read 2 more answers

A manufacturing process outputs parts having a normal distribution with a mean of 30 cm and standard deviation of 2 cm. From a p

Arisa [49]

Answer:

68% of the sample can be expected to fall between 28 and 32 cm

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 30

Standard deviation = 2

What proportion of the sample can be expected to fall between 28 and 32 cm

28 = 30-2

28 is one standard deviation below the mean

32 = 30 + 2

32 is one standard deviation above the mean

By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm

7 0

3 years ago

joey made a deposit into an account that earns 6% simple interest.After three years, joey had earned $400. How much was joey's i

Sergio [31]

Answer:

Step-by-step explanation:

To find the amount deposited, we will simply use the formula for calculating simple interest.

Simple Interest = pxrxt/100 (fraction)

Where p = principal

R= Rate

T= Time

Principal is the initial amount deposited which we are ask to find.

R is given to be 6% and T is the time which is given in years

Simple interest is the interest earned over the year which is given to be $400

Lets substitute our variable into the equation

Simple Interest = pxrxt/100 (fraction)

$400 = P × 6 × 3 / 100

$400 = 18p/100 (fraction)

We will then cross multiply

$40 000 = 18 P

To get the value of P, we divide both-side of the equation by 18

4000/18 = 18p/18 (fractions)

$2222.22 = P

P = $2222.22

credits: ummuabdallah

3 0

3 years ago

Read 2 more answers

Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector

Feliz [49]

$f(x,y,z)=2z^2x+y^3$

$f$ has gradient

$\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k$

which at the point (-1, 4, 3) has a value of

$\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k$

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say $\vec u=15\,\vec\imath+25\,\vec\jmath$ , in which case we have

$\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}$

Then the derivative of $f$ at (-1, 4, 3) in the direction of $\vec u$ is

$D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}$

4 0

3 years ago

How many different 10-letter words (real or imaginary) can be formed from the letters of the word LITERATURE?

nordsb [41]

Answer:

The number of words that can be formed from the word "LITERATURE" is 453600

Step-by-step explanation:

Given

Word: LITERATURE

Required: Number of 10 letter word that can be formed

The number of letters in the word "LITERATURE" is 10

But some letters are repeated; These letters are T, E and R.

Each of the letters are repeated twice (2 times)

i.e.

Number of T = 2

Number of E = 2

Number of R = 2

To calculate the number of words that can be formed, the total number of possible arrangements will be divided by arrangement of each repeated character. This is done as follows;

Number of words that can be formed = $\frac{10!}{2!2!2!}$

Number of words = $\frac{10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{2 * 1 * 2 * 1 * 2 * 1}$

Number of words = $\frac{3628800}{8}$

Number of words = 453600

Hence, the number of words that can be formed from the word "LITERATURE" is 453600

8 0

3 years ago