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Mama L [17]
4 years ago
8

-2x + 7 > 172 I need help please

Mathematics
1 answer:
Nataly_w [17]4 years ago
5 0

Answer: x>165/2

Step-by-step explanation:

2x + 7 > 172

<u>Subtract 7 from both sides.</u>

2x>172−7

<u>Simplify 172−7 to 165.</u>

2x>165

<u>Divide both sides by two</u>

x>165/2

​​Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

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2 years ago
2. y = -2x² + 8x<br>Axis of Symmetry:<br>Vertex:<br>Domain:<br>Range:​
worty [1.4K]

Answer:

Part 1) The axis of symmetry is x=2

Part 2) The vertex is the point (2,8)

Part 3) The domain is all real numbers

Part 4) The range is all real numbers less than or equal to 8

Step-by-step explanation:

we have

y=-2x^{2}+8x

This is a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

step 1

Find the vertex

Convert the quadratic equation in vertex form

Factor -2 leading coefficient

y=-2(x^{2}-4x)

Complete the square

y=-2(x^{2}-4x+4)+8

rewrite as perfect squares

y=-2(x-2)^{2}+8

so

The vertex is the point (2,8)

step 2

Find the axis of Symmetry

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

the vertex is the point (2,8)

therefore

The axis of symmetry is x=2

step 3

Find the domain

The domain of the quadratic equation is the interval ------> (-∞,∞)

The domain is all real numbers

step 4

Find the range

The range of the quadratic equation is the interval ------> (-∞,8]

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3 years ago
Which equation can be used to graph the line that passes through (6, 15) and is perpendicular to the graph of y-7=1/2(x+2)
Westkost [7]

Answer:

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Step-by-step explanation:

Firstly, we shall need to reform the given line equation;

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Comparing this with y = mx + c

where m is the slope, then the slope of the line is 1/2

Since the line we are looking for has a slope perpendicular to this line, it means that the product of their slopes is -1

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So we want an equation with slope -2 passing through (6,15)

we use the point slope method here;

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6 0
3 years ago
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