All categories

2 years ago

X - 7 < -20 inequalify

Mathematics

1 answer:

Naily [24]2 years ago

3 0

Step-by-step explanation:

x - 7 < -20

x < -20 + 7

x < -13

X = (-12, -11, -10,...)

You might be interested in

Which of these points lies on the circle with the center (2,3) and radius 2?

yan [13]

Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

Center = (2, 3)

radius = 2

Process

1.- Find the equation of the line

(x - h)² + (y - k)² = r²

-Substitution

(x - 2)² + (y - 3)² = 2²

-Simplification

(x - 2)² + (y - 3)² = 4

-Evaluate the points in the equation

A. (4, 3)

(4 - 2)² + (3 - 3)² = 4

2² + 0 = 4

4 = 4 This point lies in the circle

B (-1, 0)

(-1 - 2)² + (0 - 3)² = 4

-3² + (-3)² = 4

9 + 9 = 4 This point is not part of the circle

C. (1, 3)

(1 - 2)² + (3 - 3)² = 4

(-1)² + (0)² = 4

1 = 4 This point is not part of the circle

D. (3, 4)

(3 - 2)² + (4 - 3)² = 4

1² + 1² = 4

2 = 4 This point is not part of the circle

5 0

2 years ago

Read 2 more answers

Use matrix inversion to solve the collection of systems of linear equations. HINT [See Example 4.] (a) −x − 4y + 2z = −10 x + 2y

omeli [17]

Answer:

Step-by-step explanation:

given is a system of linear equations in 3 variables as

$-x - 4y + 2z = −10\\ x + 2y - z = 11 \\x + y - z = 14$

This can be represented in matrix form as

AX=B Or

$\left[\begin{array}{ccc}-1&-4&2\\1&2&-1\\1&1&-1\end{array}\right] *\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-10\\11\\14\end{array}\right]$

So solution set

X would be $A^{-1} B$

|A|=-1(-1)+4(0)+2(-1)=--1

Cofactors of A are

-1 0 -1

-2 -1 -3

0 1 2

So inverse of A is

1 2 0

0 1 -1

1 3 -2

Solution set would be

x=12

y=-3

z=-5

8 0

2 years ago

What was the total production of gasoline and kerosene combined (in Barrels)

Elina [12.6K]

The amount of kerosene and gasoline produced is an illustration of equations.

44.4 million barrels of gasoline and kerosene are produced

Let

$x \to$ Proportion of kerosene

$y \to$ Proportion of Gasoline

So:

$x = 40\%$

$y = 34\%$

$Total = 60\ million$ ---- total barrels produced

The amount of Kerosene produced is:

$Kerosene =x \times Total$

$Kerosene =40\% \times 60\ million$

$Kerosene = 24\ million$

The amount of Gasoline produced is:

$Gasoline =y \times Total$

$Gasoline =34\% \times 60\ million$

$Gasoline =20.4\ million$

So, the total production of both is:

$Total = Kerosene + Gasolene$

$Total = 24\ million + 20.4\ million$

$Total = 44.4 million$

Hence, 44.4 million barrels of gasoline and kerosene are produced