What is the slope of the line on the graph?

Which interval is the solution set to 0.35x - 4.8 < 5.2 -0.9x?

8_murik_8 [283]

Answer: $(-\infty, 8)$

Step-by-step explanation:

Given the following inequality:

$0.35x - 4.8 < 5.2 -0.9x$

You need to solve for "x" in order to find the solution.

The steps are:

1. Add $0.9x$ to both sides of the inequality:

$0.35x - 4.8+0.9x < 5.2 -0.9x+0.9x\\\\1.25x-4.8$

2. Add $4.8$ to both sides:

$1.25x-4.8+4.8$

3. Divide both sides by $1.25$ :

$\frac{1.25x}{1.25}$

Notice that "x" is less than 8. This indicates that 8 is not included in the solution and you must use parentheses.

The solution in Interval notation is:

$(-\infty, 8)$

8 0

3 years ago

Read 2 more answers

Solve the system of equations. -5x+6y=40;3y-8x=-46

Effectus [21]

Equation Form:

x

=

12

,

y

=

50

3

or

x

=

12

,

y

=

50

3

x

=

12

,

y

=

50

3

x

=

12

,

y

=

50

3

x

=

12

,

y

=

50

3

Step-by-step explanation: I have no idea why it looks like that

8 0

3 years ago

Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. how high

bezimeni [28]

Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.

So if D is the diameter and h is the height of the conical pile then we can write:

D=3h

We know that diameter = 2r, where r is the radius

2r=3h

$r=\frac{3h}{2}$

Volume of conical pile is given by formula

$V=\frac{1}{3}\pi r^2h$

Given that volume is 1110 cubic feet.

Now plug the values of Volume and r into equation of volume

$1110=\frac{1}{3}\pi (\frac{3h}{2})^2h$

$1110=\frac{1}{3}\pi\cdot\frac{9h^2}{4}\cdot h$

$1110=\pi\cdot\frac{3h^3}{4}$

$1110\cdot\frac{4}{3\pi}=h^3$

$471.098631552=h^3$

take cube root of both sides

7.78103342467=h

Hence height is approx 7.78 feet.

7 0

3 years ago

Help help help pls :)

kykrilka [37]

Answer:

$opposite\approx 70.02$

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

$sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}$

Please note that the names ( $opposite$ ) and ( $adjacent$ ) are subjective and change depending on the angle one uses in the ratio. However the name ( $hypotenuse$ ) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent ( $tan$ ) ratio.