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fredd [130]
3 years ago
15

Use the given x-values to identify solutions as ordered pairs to the equation y = −7x + 4 for x = 1, 3, 5, and 7

Mathematics
1 answer:
kolezko [41]3 years ago
8 0
For x=1: -7 x 1 + 4 = -3     y=-3
The ordered pair:(1, -3)
for x=3: -7 x 3 + 4 = -17    y=-17
The ordered pair:(3, -17)
for x=5: -7 x 5 + 4 = -35    y=-35
The ordered pair:(5, -35)
for x=7: -7 x 7 + 4 = -45    y =-45
The ordered pair:(7, -45)
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Please sketch graph of the function f(x) = |x+2|.
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Answer:

The absolute value can be graphed using the points around the vertex (-2, 0), (-4, 2), (-3, 1), (-1, 1), (0, 2).

Step-by-step explanation:

The find the x coordinate of the vertex, set the inside of the absolute value x + 2 equal to 0. In this case, x + 2 = 0.

x + 2 = 0

Subtract 2 from both sides of the equation.

x = -2

Replace the variable x with -2 in the expression.

y = |(-2) + 2|

The absolute value vertex is (-2, 0).

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

For each x value, there is on y value. Select few z values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.

Substitute the x value -4 into f(x) = |x+2|. In this case, the point is (-4,2).

y=2

Substitute the x value -3 into f(x) = |x+2|. In this case, the point is (-3,1).

y=1

Substitute the x value 0 into f(x) = |x+2|. In this case, the point is (0,2).

y=2

You can find the graph in the attachment.

6 0
3 years ago
Multiply (-6 + i)(-2 + 9i).
malfutka [58]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
The relationship between fahrenheit and celsius scales is given by F=9/5C+32. Determine the value in celsius when F=-3?
IgorLugansk [536]
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C = -175/9

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5 0
3 years ago
2. A two-stage rocket is in development. The required probability is for the overall rocket to be a minimum of 97% reliable for
ikadub [295]

Answer: The minimum reliability for the second stage be 0.979.

Step-by-step explanation:

Since we have given that

Probability for the overall rocket reliable for a successful mission = 97%

Probability for the first stage = 99%

We need to find the minimum reliability for the second stage :

So, it becomes:

P(overall reliability) = P(first stage ) × P(second stage)

0.97=0.99\times x\\\\\dfrac{0.97}{0.99}=x\\\\0.979=x

Hence, the minimum reliability for the second stage be 0.979.

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3 years ago
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