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Romashka-Z-Leto [24]
1 year ago
15

Find a linear inequality with the following solution set. Each grid line represents one unit.

Mathematics
1 answer:
ikadub [295]1 year ago
5 0

The linear inequality in standard form is: x + y < -2 or x + y + 2 < 0

<h3>How to Write a Linear Inequality?</h3>

To determine what sign to use, follow these rules:

  • Use "<" or ">" when the boundary line is dotted or dashed.
  • Use "<" or "≤" when the shaded area is under the boundary line (dotted or dashed).
  • Use "≤" or "≥" when the boundary line is not  dotted or dashed.
  • Use ">" or "≥" when the shaded area is above the boundary line (dotted or dashed).

The graph given has the following features:

  • It has a boundary line that is dotted/dashed.
  • It has a shaded area that is under the boundary line.
  • Thus, the inequality sign we would use is, "<".

Find the slope:

Slope (m)= rise/run = -(2 units) / (2 units).

Slope (m) = -1.

The y-intercept (b) = -2.

Substitute m = -1 and b = -2 into y < mx + b:

y < (-1)x + (-2)

y < -x - 2

Rewrite

x + y < -2

x + y + 2 < 0

Learn more about inequality on:

brainly.com/question/11234618

#SPJ1

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What is this can anyone help me
Solnce55 [7]

g(x) = (x - 3)² - 4

given f(x) is shifted a units horizontally to the right → f(x) → f(x - a)

If f(x) is shifted by a units horizontally left → f(x) → f(x + a)

If f(x) is shifted by b units vertically up → f(x) → f(x) + b

If f(x) is shifted by b units vertically down → f(x) → f(x) - b

The vertex (0, 0) of f(x) has shifted to (3, -4)

that is 3 units horizontally to the right and 4 units vertically down

hence g(x) = (x - 3)² - 4


4 0
3 years ago
The black graph is the graph of y=f(x). Choose the equation for the red graph.<br> Please help!!
yan [13]

Answer:

B

Step-by-step explanation:

The black graph is the graph of y=f(x).

The red graph is the reflection of the black graph across the y-axis.

A. y=f(x-1) determines the translation of the graph y=f(x) one unit to the right.

B. y=f\left(\dfrac{x}{-1}\right) determines the reflection of the graph y=f(x) across the y-axis.

C. y-1=f(x),\ y=f(x)+1 determines the translation of the graph y=f(x) one unit up.

D. \dfrac{y}{-1}=f(x),\ y=-f(x) determines the reflection of the graph y=f(x) across the y-axis.

8 0
3 years ago
Which ordered pair represents the y-intercept of the graph of the equation y = - 4 x - 7 ?​
Degger [83]

Answer:

(0, -7)

Step-by-step explanation:

Since -4x is the slope, then -7 is the y-intercept.

For finding y intercept we substitute x=0

y = -7

The ordered pair would be

(0,-7)

hope this helps and is right. p.s. i really need brainliest :)

4 0
3 years ago
Round 0.424 to the nearest tenth
lakkis [162]
0.424 rounded to nearest tenth would be 0.4 as you can not round up because the hundredth place is not 5 or higher
5 0
3 years ago
Read 2 more answers
What is the volume of an 8cm cube
Sloan [31]

Answer:

V = 512 cm³

Step-by-step explanation:

Use the formula V = s³ to find the volume of the cube

V = 8³

V = 512 cm³

5 0
3 years ago
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