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Mashutka [201]
3 years ago
11

Given an equation x3 - 8x2 - 9x + 72 = 0, find the zeros.

Mathematics
1 answer:
sveta [45]3 years ago
7 0

Answer:

= 28/3

Step-by-step explanation:

Let's solve your equation step-by-step.

x(3)−(8)(2)−9x+72=0

Step 1: Simplify both sides of the equation.

x(3)−(8)(2)−9x+72=0

3x+−16+−9x+72=0

(3x+−9x)+(−16+72)=0(Combine Like Terms)

−6x+56=0

−6x+56=0

Step 2: Subtract 56 from both sides.

−6x+56−56=0−56

−6x=−56

Step 3: Divide both sides by -6.

−6x

−6

=

−56

−6

x=

28

3

Answer:

x=

28

3

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defon

Answer:

\boxed{\sf \ \ \ \dfrac{18}{(x-7)(x+12)(x+30)} \ \ \ }

Step-by-step explanation:

hello,

first of all we will study the quadratic expressions

we can write that, (the different answers provide good clues :-) )

x^2+5x-84=(x-7)(x+12)

and

x^2+23x-210=(x-7)(x+30)

so first of all as we cannot divide by 0 we need to take x different from 7, -12 and -30 and then we can write

\dfrac{1}{x^2+5x-48}-\dfrac{1}{x^2+23x-210}=\dfrac{1}{(x-7)(x+12)}-\dfrac{1}{(x-7)(x+30)}\\\\=\dfrac{(x+30) -(x+12)}{(x-7)(x+12)(x+30)}=\dfrac{x+30-x-12}{(x-7)(x+12)(x+30)}\\\\=\dfrac{18}{(x-7)(x+12)(x+30)}

hope this helps

7 0
3 years ago
Tn = -2n + 3, find t4
yanalaym [24]

Substitute n = 4

t(4)=-2(4)+3

-8+3= -5

therefore t(4) = -5

4 0
3 years ago
The sum of two numbers is 80 . The ratio of those two numbers is 3:5 find the larger Number
Oksana_A [137]

Answer:

the larger number is 50

Step-by-step explanation:

Notice there are two unknown numbers. Let's address the smaller one as x and the larger one as y. now we can write two equations from translating the phrases given into algebraic expressions:

"the sum of two numbers is 80" can be written as:

x+y=80

Now the second phrase:

"The ratio of those two numbers is 3/5"

Notice here that in our ratio we need to use our small number (x) in the numerator of the quotient, and the larger number (y) in the denominator to make it in agreement with the small and larger numbers of the ratio \frac{3}{5}, and solve for x:

\frac{x}{y} = \frac{3}{5} \\x= \frac{3}{5}y

Replace the value of x we just obtained in the first equation we wrote, so we obtain one equation with only one unknown hat we should be able to solve:

x+y=80\\\frac{3}{5} y+y=80\\\frac{3}{5} y+\frac{5}{5} y=80\\\frac{8}{5}y=80 \\8y=80*5\\8y=400\\y=\frac{400}{8} \\y=50

Therefore the larger number (y) equals 50.

7 0
3 years ago
Using graph paper, solve the following inequality. Then click on the graph until the correct one is displayed.
Bezzdna [24]

P/s: I'm not sure

Ok done. Thank to me :>

7 0
2 years ago
The slope of the line below is 2. Use the coordinates of the labeled point to
Alexus [3.1K]

Answer:

The equation of line passing through point (3 , 10) with slope 2 is y = 2 x + 4 .

Step-by-step explanation:

Given as :

The slope of a line = m = 2

The line is passing through point = x_1 ,  y_1 = 3 , 10

Now, <u>Equation of line in point- slope form</u>

y -  y_1 = m × (x - x_1)

Or, y - 10 = 2 × (x - 3)

Or, y - 10 = 2 × x - 2 × 3

Or, y - 10 = 2 x - 6

Or, y = 2 x - 6 + 10

Or, y = 2 x + 4

So, The equation of line  y = 2 x + 4

Hence, The equation of line passing through point (3 , 10) with slope 2 is y = 2 x + 4 . Answer

3 0
2 years ago
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