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4 years ago

Select the correct inequality for the graph below:

Mathematics

2 answers:

krok68 [10]4 years ago

8 0

Y is less than or equal to -2x+2 so the last one

just olya [345]4 years ago

5 0

Answer with Step-by-step explanation:

As we can see the point (0,0) lies in the shaded region

So, it must satisfy the inequality

The point (0,0) do not satisfy the inequality

y > −2x + 2

and y ≥ −2x + 2

So, these two options are incorrect

(1,0) lies in he shaded region

So, it must satisfy the inequality

y < −2x + 2 do not satisfy the point (1,0)

So, this option is incorrect

Now, we are left with only one option

Hence, Correct answer is:

y ≤ −2x + 2

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Helppp!! I NEED HELP PLEASE

Elodia [21]

Given:

The table of values for the function f(x).

To find:

The values $f^{-1}(f(3.14))$ and $f(f(-7))$ .

Solution:

From the given table, it is clear that the function f(x) is defined as:

$f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}$

We know that if (a,b) is in the function f(x), then (b,a) must be in the function $f^{-1}(x)$ . So, the inverse function is defined as:

$f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}$

And,

$f^{-1}(f(a))=f^{1}(b)$

$f^{-1}(f(a))=a$ ...(i)

Using (i), we get

$f^{-1}(f(3.14))=3.14$

Now,

$f(f(-7))=f(-12)$

$f(f(-7))=5$

Therefore, the required values are $f^{-1}(f(3.14))=3.14$ and $f(f(-7))=5$ .

5 0

3 years ago

10. Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 3 liters of natural oil for every 4

jeyben [28]

you have the ratio of natural:synthetic so;

3:4

3+4=7

357/7=51

3*51:4°51

153:204

therefore, it'd be 204 litres of synthetic oil!!

i hope this helps you!!

7 0

3 years ago

Travis wants to build a fence around his mother's rectangular garden. The length of the garden is 315 centimeters, and the width

Mariulka [41]

Answer: 12.1 meters

Step-by-step explanation:

This is a rectangular fence so it represents a rectangle.

Fencing the garden will require going around it therefore you are looking for the perimeter.

Perimeter of a rectangle = (2 * Length) + ( 2 * Width)

= (2 * 315) + ( 2 * 290)

= 1,210 cm

Convert to meters:

A meter is 100 centimeters

= 1,210 / 100

= 12.1 meters

7 0

3 years ago

Add the following military times: 1355 + 0540

Mnenie [13.5K]

If its multiplcation
731700

if its addition
1895

im sorry if im wrong but im just trying to help out and please correct me if ime wrong

4 0

3 years ago

It took Brian 6 hours to drive to the sales conference. He took the same route on the way back home, but

g100num [7]

Answer: 54 mph

Step-by-step explanation:

d-the distance

s+9 - the speed to the conference

d=6*(s+9)

s- is the speed on the way back home

d=7*s

so 6*(s+9)=7*s

6s+54=7s

-6s -6s

54= 7s-6s

s=54 mph

6 0

4 years ago