Write an equation for each translation of y = |x|. 6 units down
Answers
y=|x|-6
Related Questions
Which statement is true regarding the graphed functions?f(0) = 2 and g(–2) = 0f(0) = 4 and g(–2) = 4f(2) = 0 and g(–2) = 0f(–2) = 0 and g(–2) = 0
Divide £10 into the ratio 2:3
What is the decimal multiplier to increase by 1.7%?
Choose the arithmetic series that is associated with this summation.
Answers
It would be D
G(x) = (x+5)^3
since this function represents a horizontal shift 5 to the left. also you can think about this that -5 is a root and the function only equals 0 at -5
Answers
Answer:
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
the || makes whatever number is inside it abslute so -3 becomes 3 instead
Answers
Answer:
11.41= 6x=2.11
x=1.35
Step-by-step explanation:
Use these expressions to write an inequality based on the given information.
Solve the inequality, clearly indicating the width of the rectangle
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L=7+W
A rectangle's perimeter (the total sum of its sides) will be made my 2 sides representing the length (2L) and 2 sides representing the width (2W). We also know that this rectangle's perimeter is greater than 62. Since eventually we are solving for W, let's state all expressions in terms of W:
2L=2(7+W)
2(7+W)+2W>62
14+2W+2W>62
14+4W>62
4W>62-14
4W>48
W>48/4
W>12
If the rectangle's perimeter is greater than 62, then the width will be greater than 12. Let's confirm this:
Perimeter=2L+2W
P=2(7+12)+2(12)
P=14+24+24
P=62
So we can see that if the perimeter is to surpass 62, W needs to be greater than 12 and L ( which is also 7+W) needs to be greater than 19.
Final answer:
The length of the rectangle is expressed as w + 7 mm. The inequality for the perimeter is 2(w + w + 7) > 62. The solution for the inequality reveals that the width, w, must be more than 12mm.
Explanation:
The question is asking for an expression for the length of a rectangle in terms of the width and an inequality based on the perimeter. We are given that the length of the rectangle is 7 mm longer than its width, and its perimeter is more than 62 mm.
The width of the rectangle is defined as w. We can express the length as w + 7 mm, since it is 7 mm longer than the width.
The perimeter of a rectangle is calculated as 2 times the sum of its width and length, so we form the inequality: 2(w + w + 7) > 62.
To solve it, we simplify the left side: 4w + 14 > 62. We then subtract 14 from both sides, getting 4w > 48. Finally, we divide both sides by 4, which gives us w > 12. Therefore, the width of the rectangle must be more than 12 mm.
Learn more about Inequalities here:
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Answers
D. 7x + 2y < 2
Explanation:
The two general forma of the inequality are:
y < mx + c .........> In this case, shading is below the boundary line
y > mx + c .........> In this case, shading is above the boundary line
Since we are looking for the inequality with shading below the boundary line, therefore, we are looking for an y < mx + c format
Now, let's check the givens:
y - x > 5
Rearranging, we would get:
y > x + 5
The shading is above the boundary line. This option is incorrect
2x - 3y < 3
Rearranging, we would get:
2x - 3 < 3y
The shading is above the boundary line. This option is incorrect
2x - 3y < 7
Rearranging, we would get:
2x - 7 < 3y
The shading is above the boundary line. This option is incorrect
7x + 2y < 2
Rearranging, we would get:
2y < -7x + 2
The shading is below the boundary line. This option is correct
3x + 4y > 12
Rearranging, we would get:
4y > -3x + 12
The shading is above the boundary line. This option is incorrect
As a second solution, I attached the graphs of the 5 given functions.
Observing these graphs, we will find that the correct one is D
Hope this helps :)