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4 years ago

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

Mathematics

1 answer:

zalisa [80]4 years ago

3 0

<h3>Answer: C) 4</h3>

All points on the blue curve f(x) are shifted up 4 units to get corresponding points on the red curve g(x). For example, the point (0,-3) moves up 4 units to (0,1).

g(x) = f(x)+k

g(x) = f(x)+4

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Please actually answer and not just take my points and answer quick this is timed

Arte-miy333 [17]

Answer:

Part A) The graph in the attached figure (see the explanation)

Part B) The ordered pair is not included in the solution area for the system (see the explanation)

Step-by-step explanation:

Part A) we have

$y$ ----> inequality A

The solution of the inequality A is the shaded area below the dashed line $y=4x-8$

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,-8)

The x-intercept of the dashed line is (2,0)

$y\geq -\frac{5}{2}x+5$ ----> inequality B

The solution of the inequality B is the shaded area above the solid line $y=-\frac{5}{2}x+5$

The slope of the solid line is negative

The y-intercept of the solid line is (0,5)

The x-intercept of the solid line is (2,0)

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Part B) is the point (5, -8) Included in the solution area for the system?

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

Substitute the value of x=5, y=-8 in each inequality and then analyze the results

<em>Inequality A</em>

$-8$

$-8$ ----> is true

the ordered pair satisfy inequality A

<em>Inequality B</em>

$-8\geq -\frac{5}{2}(5)+5$

$-8\geq -7.5$ ---> is not true

the ordered pair not satisfy the inequality B

therefore

The ordered pair is not included in the solution area for the system

6 0

3 years ago

Write the greatest possible 5 digit number using only 3 different numbers

bazaltina [42]

Answer:

223344

i used 3 different numbers the problem never said to not reuse them

3 0

3 years ago

Solve.<br> 4(y + 4) = 32

MakcuM [25]

Answer:

y = 4

Step-by-step explanation:

4*y = 4y

4*4 = 16

4y+16=32

to get 4y alone, we subtract 16 from 32.

32-16 = 16

4y = 16

to get y alone, we divide 4 by 16

16/ 4 = 4

so, y = 4

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3 years ago

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B = 22, mZZ = 30°; Find a.

mamaluj [8]

Answer:

There is no a to find in your problem

Step-by-step explanation:

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3 years ago

Match each word to its definition

maxonik [38]

All i know is that 1 is the fourth option and 3 is the last option. I would assume 2 is the first option, 4 is the second option, 5 is the fifth option, and 6 is the third option, but be sure to check yourself. I hope this helps!

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2 years ago

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