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tino4ka555 [31]
2 years ago
15

When solving inequalities the inequality is reversed when:

Mathematics
2 answers:
valentina_108 [34]2 years ago
8 0
When we multiply or divide and inequality by a positive integer but it doesn’t change but if we multiply or divide an inequality with a negative integer the sign of it will be changed
Anettt [7]2 years ago
7 0
When we multiply or divide an inequality by a negative integer.
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Use the graph that shows the solution to f(x)=g(x) .
n200080 [17]

Answer:

1.  x=3   x=1

2.  x=0

Step-by-step explanation:

We want f(x) to equal g(x)

f(x)=g(x)

1/(x-2) = (x-2)

Using cross products

1 = (x-2) * (x-2)

1 = x^2 -2x-2x+4

Subtract 1 from each side

1-1 = ^2 -2x-2x+4-1

0 = x^2 -4x+3

Factoring

What number multiplies to 3 and adds to -4

-3*-1 = 3

-3+-1 = -4

0= (x-3) (x-1)

Using the zero product property

x-3 =0     x-1=0

x=3   x=1



2.  f(x)=x^2+4x+2

g(x)=(1/2)^ x+1


From the graph,we can see they intersect at x=0

5 0
3 years ago
Solve the inequality. 7x − 9 > 2x + 6
Flura [38]
<h3><u>The value of x is greater than the value of 3.</u></h3>

We can treat inequalities like standard algebraic equations.

7x - 9 > 2x + 6

<em><u>Add 9 to both sides.</u></em>

7x > 2x + 15

<em><u>Subtract 2x from both sides.</u></em>

5x > 15

<em><u>Divide both sides by 5.</u></em>

x > 3

7 0
3 years ago
Read 2 more answers
4. will give brainliest
saul85 [17]

The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)

<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>

By <em>analytical</em> geometry we know that foci are along the <em>major</em> axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the <em>standard</em> form of the equation of the ellipse is of the following form:

(x - h)² / a² + (y - k)² / b² = 1, where a > b     (1)

Where:

  • a - Length of the major semiaxis.
  • b - Length of the minor semiaxis.

Now, we proceed to find the vertex and the lengths of the semiaxes:

a = 10 units.

b = 8 units.

Vertex

V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)

V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)

V(x, y) = (1.5, 1) + (- 4.5, 1)

V(x, y) = (- 3, 2)

The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)

To learn more on ellipses: brainly.com/question/14281133

#SPJ1

8 0
2 years ago
College precalc! Please help! I've been struggling.
kiruha [24]

Answer:

B) f(x) = x if x ≤ -2

            2 if x > -2

Step-by-step explanation:

B) f(x) = x if x ≤ -2 (The x and y coordinate have the same value)

            2 if x > -2

8 0
3 years ago
The Singapore Flyer is a giant observation
Law Incorporation [45]

Answer:

28

Step-by-step explanation:

Let x be the number of capsules on the Singapore Flyer.

Each capsule can carry x passengers.

Therefore x^2 = 784.

x = 28

8 0
3 years ago
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