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4 years ago

Solve the inequality, if possible. If the inequality has no solution, write no solution. If the solutions are all real numbers,

write all real numbers.
7 - 6b ≤19

Mathematics

1 answer:

Alina [70]4 years ago

6 0

$7 - 6b \leq 19 - 7 \\ \\ -6b \leq 12 \\ \\ b \geq \frac{12}{-6} \\ \\ b \geq - \frac{12}{6} \\ \\ b \geq -2 \\ \\ Answer: b \geq -2$

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Two angles are complementary. Angle A Is (2x+20) and angle B is (3x+10). Find the value of x and the measure of each angle

bearhunter [10]

X=12

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3 years ago

The radius of a circular park is 114 yd. To the nearest yard, what is the

Ahat [919]

Answer:

716 yards

Step-by-step explanation:

Circumference = π × Diameter

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3 years ago

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frozen [14]

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3 years ago

what is the vertical height of interverted cone with the diameter of 6 cm and the slant height of 6cm?

den301095 [7]

"interverted" or "inverted?"

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Then h^2 + (3 cm)^2 = (6 cm)^2, or h^2 + 9 cm^2 = 36 cm^2, or h^2 = 27 cm^2.

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4 years ago

Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x

Lynna [10]

ANSWER

1.39

EXPLANATION

The given quadratic equation is

$0 = 2 {x}^{2} + 3x - 8$

This is the same as,

$2 {x}^{2} + 3x - 8 = 0$

Comparing to

$a {x}^{2} + bx + c = 0$

We have

a=2, b=3,c=-8

Using the quadratic formula, the solution is given by:

$x = \frac{ - b \pm \: \sqrt{ {b}^{2} - 4ac} }{2a}$

We substitute the values to get,

$x = \frac{ - 3\pm \: \sqrt{ {3}^{2} - 4(2)( - 8)} }{2(2)}$

$x = \frac{ - 3\pm \: \sqrt{ 73} }{4}$

The positive root is

$x = \frac{ - 3 + \: \sqrt{ 73} }{4} = 1.39$

to the nearest hundredth.

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3 years ago

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