5x= 6x^2 -3
6x^2 -5x -3
a = 6
b = -5
c = -3

x = [-b +- sq root(b^2 -4ac)] / 2a
x = [--5 +- sq root (25 -(4*6*-3)] / 12
x = [5 +- sq root (25 + 72)] / 12
x = [5 + sq root (97)] / 12
x = 5 +- 9.84886] / 12
x1 = 1.237405 
x2 = -0.404072

8 0

3 years ago

Solve the inequality –1 > –2(x – 4) – 5(4x – 7).

Ksivusya [100]

Answer:

$x > 2$

Step-by-step explanation:

$–1 > –2(x – 4) – 5(4x – 7)$

$–1 > –2x + 8 –20x + 35$

$–1 > - 22x + 43$

$- 1 - 43 > - 22x$

$- 44 > - 22x$

$\frac{ - 44}{ - 22} < \frac{ - 22x}{ - 22}$

$2 < x$

$x > 2$

5 0

3 years ago

Find the circumference of a circle with a diameter of 15 inches... Round to the nearest tenth and include units in your answer..

rosijanka [135]

Answer:

47. 1 inches ; where inches ⇒ units

Step-by-step explanation:

Consider the Circumference as such;

$Diameter - 15 inches,\\Circumference - 2\pi r, r - radius,\\\\2\pi r = \pi d, d - diameter ( considering, 2 * r = diameter )\\\\Circumference = \pi * d = \pi * diameter = \pi * 15 = ( About ) 47.1 inches\\Solution; Circumference = ( About ) 47.1 inches$

From this we can tell that ⇒ Answer; 47. 1 inches, where inches - units

6 0

3 years ago

Read 2 more answers

A car is traveling down a highway at a constant speed, described by the equation d=65t, where d represents the distance, in mile

Alexxx [7]

Answer:

Step-by-step explanation:

We are given an equation d = 65 t, where d represents the distance, in miles, that the car travels at this speed in t hours.

We know distance, speed and time relation

d = s * t.

Where d represents the distance, that the car travels at this speed in t at the speed s.

If we compare that relation with the given equation, we can see s = 65.

So,

a) The 65 tell us speed of 65 miles per hour in this situation.

b) Second part seems to be incorrect. Please check it again.

c) We are given distance = 26 miles.

Plugging d= 26 in the given equation.

26 = 65 t

Dividing both sides by 65, we get

26/65 = t

t= 0.4 hours.

So, it takes 0.4 hours or 0.4 * 60 = 24 minutes o travel 26 miles at this speed.

6 0

3 years ago