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3 years ago

Which of the following is a solution for the inequality

Mathematics

2 answers:

DedPeter [7]3 years ago

4 0

X=5.5 i think is the answer

Liula [17]3 years ago

4 0

Answer:

x = 4

Step-by-step explanation:

Treat the inequality symbol like an equal sign with rules when it comes to dividing and multiplying each side by negatives, however, that rule irrelevant in this case.

Rewrite

2x < 9

Get x alone by dividing by 2

x < 9/2

Simplify into a decimal

x < 4.5

Now that we have that, we must find an answer which is Less than 4.5 because it is not a less than or equal to statement.

x = 4 is the only one which is proven true to this inequality and therefore is our answer

Hope this helps,

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Find the height of the rectangular prism given the volume, length, and width.

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3 years ago

The hover dam contains 3 1/2 millon cubic yards of concrete.The grand coulee dam contains 2 1/2 times as much. How much concrete

Margarita [4]

grand coulee dam (g) contains 2.5 times as much concrete as the hover dam (h)

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3 years ago

Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$