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3 years ago

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Which set contains values of x that makes this inequality true? 7x < 42

2 answers:

sesenic [268]3 years ago

7 0

Answer:

<h3><em><u>C</u></em><em><u>.</u></em><em><u> </u></em><em><u>{</u></em><em><u>2</u></em><em><u>,</u></em><em><u>3</u></em><em><u>,</u></em><em><u>5</u></em><em><u>}</u></em></h3>

Step-by-step explanation:

<h2 /><h2><em><u>7</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>2</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>1</u></em><em><u>4</u></em><em><u> </u></em><em><u><</u></em><em><u> </u></em><em><u>4</u></em><em><u>2</u></em></h2><h2><em><u>7</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>3</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em><em><u>1</u></em><em><u> </u></em><em><u><</u></em><em><u> </u></em><em><u>4</u></em><em><u>2</u></em><em><u> </u></em></h2><h2><em><u>7</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>5</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>5</u></em><em><u> </u></em><em><u><</u></em><em><u> </u></em><em><u>4</u></em><em><u>2</u></em></h2><h2><em><u>this </u></em><em><u>is </u></em><em><u>your</u></em><em><u> </u></em><em><u>correct </u></em><em><u>answer.</u></em></h2><h2><em><u>hope</u></em><em><u> </u></em><em><u>it's</u></em><em><u> helpful</u></em><em><u> </u></em></h2>

Llana [10]3 years ago

7 0

The first answer is correct .

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For the function F(x) = 2x^2-31x-51, where is the function increasing and positive? ( for all X values greater than what number

Ulleksa [173]

ANSWER
$x \: > \: 17$

EXPLANATION

The given function is

$f(x) = 2 {x}^{2} - 31x - 51$
Let us split the middle term to get,

$f(x) = 2 {x}^{2} -34x + 3x- 51$

We factor to obtain,

$f(x) = 2x(x - 17) -+3(x - 17)$

$f(x) = (2x -+3)(x -17)$

Let us find the zeros of f(x),

$(2x +3)(x - 17) = 0$

Either

$2x +3 = 0 \: or \: x - 17 = 0$
$x = -\frac{3}{2} \: or \: x = 17$

We need to find the x-value of the vertex, which is the midpoint of the x-intercepts.

This gives us,

$\frac{- \frac{3}{2} + 17}{2} = 7.75$
Hence the axis of symmetry of the parabola has equation,

$x = 7.75$

Since the given function has minimum turning point, it will decrease and then increase.

The function will be increasing for
$x \: > \: 7.75$

The function will be increasing and positive for
$x \: > \: 17$

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Step-by-step explanation:

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2 years ago

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Akimi4 [234]

Answer:

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Step-by-step explanation:

4x-10=2x - Original equation

4x=2x+10 - Move constant to the right-hand side and change its sign

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3 years ago