All categories

3 years ago

Graph the function y = |8 - 2x| + 3. Which is a point on the function? (6.2, 7.4) (7.8, 11.2) (8.6, 6.8) (9.6, 7.3)

Mathematics

1 answer:

Fiesta28 [93]3 years ago

8 0

For this case we have the following function:
$y = | 8 - 2x | + 3
$
The first thing you should do is graph the function to see the behavior.
When observing the graph (in the attached image) we observe that the following point belongs to the graph:
$(6.2, 7.4)
$
To prove it, let's evaluate the point in the function:
$7.4 = l 8 - 2 (6.2) l + 3

7.4 = l 8 - 12.4 l + 3

7.4 = l -4.4 l + 3

7.4 = 7.4$
The equation is fulfilled and therefore the point belongs to the graph.
Answer:
(6.2, 7.4)
See attached image

You might be interested in

3 + 2 a ≥ - 11 3 + 2 a ≥ - 11 3 + 2 a ≥ - 11 3 + 2 a ≥ - 11 3 + 2 a ≥ - 11 3 + 2 a ≥ - 11 3 + 2 a ≥ - 11 3 + 2 a ≥ - 11 3 + 2 a

Hunter-Best [27]

The symbol ≥ mean greater or equal to

3 0

3 years ago

Read 2 more answers

X^2+y^2=1 yes or no relation represents a function or not

sleet_krkn [62]

We are asked to decide if the expression:

x^2 + y^2 = 1 represents a function.

We recall that in order to have a function, we need for a given value of x to have a SINGLE value of y associated with it.

So in this case, when x is 0 for example, we have the following:

0^2 + y^2 = 1

then y^2 = 1

and we realize that there are TWO values of y whose square form gives 1 (one is 1 and the other -1) Therefore, this relationship is NOT a function, since for example when x = 0 there are TWO values of y to which that x is associated (y = 1 and y = -1).

So please select that this is NOT a function for your answer.

6 0

1 year ago

(x2+x)(x2-2x-3) is equal to?

PtichkaEL [24]

Answer:

x^4-x^3-5x^2-3x

Step-by-step explanation

Use the FOIL Method or factor.

3 0

3 years ago

PLEASEEEEE HELPPPPPP ASAPPPPPPPP

natta225 [31]

9514 1404 393

Answer:

64r -48r -144

Step-by-step explanation:

The January cost expression is ...

62p -48p -144 -432 = profit

The cost is identified as having 3 components, so the profit will have 4 components:

(selling price)×p - ((cost per unit)×p +(fixed monthly cost)) -(first month startup cost) = profit

Comparing this to the given equation, we identify the components as ...

selling price = 62

cost per unit = 48

fixed monthly cost = 144

first month startup cost = 432

We note that 432 = 3×144, so is consistent with the description of startup costs.

Increasing the selling price by $2 will raise it from 62 to 64. In February, the initial month startup cost disappears, so the profit equation becomes ...

(selling price)×r - ((cost per unit)×r +(fixed monthly cost)) = profit

64r -48r -144 = profit

5 0

3 years ago

Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years o

Alik [6]

Answer:

There is a relationship between the age of a young adult and the type of movie preferred.

Step-by-step explanation:

In this case we need to test whether there is a significance relationship between the age of a young adult and the type of movie preferred.

The hypothesis can be defined as:

H₀: Age of a young adult and movie preference are independent.

Hₐ: Age of a young adult and movie preference are not independent.

The test statistic is given as follows:

$\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}$

Consider the table below.

The formula to compute the expected frequencies is:

$E_{i}=\frac{\text{Row Total}\times \text{Column Total}}{\text{Total}}$

The Chi-square test statistic value is:

$\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}=2.6013$

The significance level of the test is, α = 0.05.

The degrees of freedom of the test is,

df = (r - 1)(c - 1)

= (3 - 1)(3 - 1)

= 2 × 2

= 4

Compute the p-value as follows:

p-value = 0.6266

*Use a Chi square table.

As the p-value is more than the significance level the null hypothesis was failed to be rejected.

Thus, concluding that there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred.

5 0

3 years ago