What is the decimal multiplyer to decrece by 72%

Solve the inequality. 1/2 + x + 1/6 is greater than or equal to 1.

Andrew [12]

1/2 + x + 1/6 > = 1

First add the 2 fractions:

1/2 + 1/6 = 2/3

Now you have:

2/3 + x > =1

Subtract 2/3 from both sides:

x >= 1 - 2/3

X > = 1/3

5 0

3 years ago

Write a function to represent the set of ordered pairs.

salantis [7]

Answer:

option B) f(x) = x³ - 3

Step-by-step explanation:

we know that

If the function represent the set of ordered pairs, then the ordered pairs, must be satisfy the function

<u><em>Verify each function</em></u>

case A) f(x) = -2x

verify the ordered pair (2,5)

For x=2

substitute the value of x in the function and then compare the result with the y-coordinate of the ordered pair

$f(2)=-2(2)=-4$

$-4\neq 5$

the ordered pair not satisfy the function

so

The function nor represent the set of the ordered pairs

case B) f(x) = x³ - 3

Verify (1,-2)

For x=-1 ---> $f(1)=1^{3}-3=-2$ ---> is ok

Verify (2,5)

For x=-2 ---> $f(2)=2^{3}-3=5$ ---> is ok

Verify (3,24)

For x=3 ---> $f(3)=3^{3}-3=24$ ---> is ok

Verify (4,61)

For x=4 ---> $f(4)=4^{3}-3=61$ ---> is ok

so

the ordered pairs satisfy the function

therefore

The function represent the set of ordered pairs

case C) f(x) = x² - 3

verify the ordered pair (2,5)

For x=2

substitute the value of x in the function and then compare the result with the y-coordinate of the ordered pair

$f(2)=2^2-3=1$

$1\neq 5$

the ordered pair not satisfy the function

so

The function nor represent the set of the ordered pairs

case D) f(x) = 5x² - 7

verify the ordered pair (2,5)

For x=2

substitute the value of x in the function and then compare the result with the y-coordinate of the ordered pair

$f(2)=5(2)^2-7=13$

$13\neq 5$

the ordered pair not satisfy the function

so

The function nor represent the set of the ordered pairs

3 0

3 years ago

Graphs of More Than One Function

Softa [21]

Answer:

Step-by-step explanation: Graphs are used for many things like: organisation, easier,plotting ideas

8 0

4 years ago

The sum of four times a number and five times another number is -28. The sum of nine times the first number and two times the se

dedylja [7]

Answer:

-8

Step-by-step explanation:

If we let x and y represent the first and second numbers, respectively, we can write the problem statement as the equations ...

4x +5y = -28
9x +2y = 11

We can multiply the first equation by -9 and add 4 times the second equation to get an equation in y alone:

-9(4x +5y) +4(9x +2y) = -9(-28) +4(11)

-37y = 296 . . . . . simplify

296/-37 = y = -8 . . . . . divide by the coefficient of y

The second number is -8.

7 0

4 years ago

What is the surface area of the sides and closed rectangular end? ____ sq. ft.

Alenkasestr [34]

Without the roof panels, the surface area (except for the open panel) is 176.25 sq. ft.
With the roof panels, the surface area (except for the open panel) is 196.67 sq. ft.

The area of the rectangular sections (the sides without gables) is given by 10*6 = 60 sq. ft. There are two of these sides, for a total of 2*60 = 120 sq. ft.

The gables are triangles, which have an area formula of
A = 1/2bh

For the gables, this is 1/2(1.5)(7.5) = 5.625 sq. ft. Since there are two of them, this makes 2*5.625 = 11.25 sq. ft.

The closed side under a gable has an area of 6*7.5 = 45 sq. ft.

The two roof panels have an area of (4 1/12)(2 1/2) each:
49/12(5/2) = 245/24

There are two of them, which makes 490/24 = 20.42 sq. ft.

Without the roof panels, we have 45+11.25+120 = 176.25 sq. ft.
With the roof panels, we have 45+11.25+120+20.42 = 196.67 sq. ft.

4 0

4 years ago