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hoa [83]
4 years ago
8

What is the vertex of the absolute value function defined by f(x)=|x+5|+7?

Mathematics
1 answer:
irina1246 [14]4 years ago
6 0

The vertex of the function f(x) = |x - a| is in (a, 0).

f(x) + a - shift the graph of function f(x) a units up.

Therefore:

The verex of y = |x + 5| is in (-5, 0).

The vertex of y + 7 = f(x) = |x + 5| + 7 is in (-5, 0 + 7) = (-5, 7).

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Write the equation of the given line in slope-intercept form.​
gizmo_the_mogwai [7]

Answer:

y = 2x - 1

Step-by-step explanation:

Slope intercept form: y=mx+b

point a: (1, 1)

point b: (2, 3)

1. Find the slope of the equation

Equation for slope(mx): (y2- y1)/ (x2-x1)

(3-1)/(2-1)= 2

slope: 2

2. Pick any of the two point to find the "b" and plug in the coordinates of the point to find the y-intercept of the equation.

point a: y=1, x=1

y=mx+b

1=2(1) + b

b= -1

3. Plug the answers you found above into the slope-intercept form

Overall equation:

y=2x - 1

7 0
4 years ago
Alessandro wrote the quadratic equation –6 = x2 + 4x – 1 in standard form. What is the value of c in his new equation?
garri49 [273]
X^2+4x-1+6=0
x^2+4x+5=0
c=5
c is 5
8 0
4 years ago
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How is the graph of y= square root x+3 translated from the graph of y = √x​
Law Incorporation [45]

9514 1404 393

Answer:

  3 units left

Step-by-step explanation:

Replacing x in a function with (x-h) translates the graph to the right by h units. Here, you have h = -3, so the graph is translated left 3 units.

4 0
3 years ago
Can someone please help me with this question?
vagabundo [1.1K]

Answer:

B

Step-by-step explanation:

11q + 5 ≤ 49

Subtract 5 from each side

11q + 5-5 ≤ 49-5

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Divide each side by 11

q ≤44/11

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There is a close circle at 4 because of the equals sign and the lines goes to the left

3 0
3 years ago
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victus00 [196]

Answer:  The population is all US workers. The sample is adults who respond to the survey.

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The sample is a small portion if that group, as it would be practically impossible to get data from everyone,

This sample is the adults who responded to this sutvey.

The sample might not be an accurate cross section of all workers, depending on how the website ensures that it includes appropriate segments of urban, suburban, and rural dwellers, from various regions of the country, and from different economic groups.

5 0
3 years ago
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