All categories

3 years ago

What is the soultion of 25>-3(4n-3)

Mathematics

1 answer:

fredd [130]3 years ago

8 0

Answer:

n > -4/3

Step by step

Step by step solution :

Step 1 :

Equation at the end of step 1 :

25 - (0 - 3 • (4n - 3)) > 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

12n + 16 = 4 • (3n + 4)

Equation at the end of step 3 :

4 • (3n + 4) > 0

Step 4 :

4.1 Divide both sides by 4

4.2 Divide both sides by 3

n+(4/3) > 0

Solve Basic Inequality :

4.3 Subtract 4/3 from both sides

n > -4/3

You might be interested in

What is area of ths shape

dimaraw [331]

The area is 114 yards

Step-by-step explanation:

(10x9) + (4x6)

8 0

2 years ago

Read 2 more answers

Ava,Carter,Luke and their dad each mow a different section of their yard.Ava mow 1 /12 of the yard, Carter mow 2 /12 of the yard

lubasha [3.4K]

His dad mowed 5/12 of the yard

4 0

3 years ago

Read 2 more answers

If f(x)=1/6x+12, then f^-1(x)= PLEASE HELP

Finger [1]

$f(x)=\dfrac{1}{6}x+12\to y=\dfrac{1}{6}x+12$

Change x to y, and y to x.

$x=\dfrac{1}{6}y+12$

solve for y:

$\dfrac{1}{6}y+12=x\ \ \ |-12\\\\\dfrac{1}{6}y=x-12\ \ \ \ |\cdot6\\\\y=6x-72$

Your answer is:

$f^{-1}(x)=6x-72$

5 0

3 years ago

Find the slope of the line.

zubka84 [21]

to get the slope of any line, all we need is two points off of it.

so let's see hmmmmmmm this line passes through (0, 1) and hmmmm (4, -2)

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-1}{4-0}\implies \cfrac{-3}{4}\implies -\cfrac{3}{4}$

8 0

3 years ago

The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi

Rom4ik [11]

Answer:

The base is 24 cm long.

Step-by-step explanation:

Equations

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

$\displaystyle A=\frac{bh}{2}$

$\displaystyle A=\frac{(h+9)h}{2}$

And its value is 180:

$\displaystyle \frac{(h+9)h}{2}=180$

Multiplying by 2:

$(h+9)h=360$

Operating:

$h^2+9h-360=0$

Factoring:

$(h-15)(h+24)=0$

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

7 0

3 years ago