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3 years ago

What is 40 over 72 in simplest form

Mathematics

2 answers:

Lena [83]3 years ago

6 0

20 over 36
10 over 18
5 over 9

olga2289 [7]3 years ago

4 0

40/72: 5/9
GCF: 8
Hope This Is Helpful!

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1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n

Andrew [12]

Part 1
We are given $x^2-21x=-4x$ . This can be rewritten as $x^2-18x=0$ .
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}$
$x=\frac{18\pm 18}{2}$

The values of x are
$x_1=\frac{18-18}{2}=0$
$x_2=\frac{18+18}{2}=18$

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.

Part 3.
The first equation is $y=x^2+2$ .
The second equation is $y=3x+20$ .

We have
$x^2+2=3x+20$
$x^2-3x-18=0$
Factoring, we have
$\left(x-6\right)\left(x+3\right)=0$
Equating both factors to zero.
$x_1-6=0\rightarrow x_1=6$
$x_2+3=0\rightarrow x_2=-3$

When the value of x is 6, the value of y is
$y=3\left(6\right)+20=38$

When the value of x is -3, the value of y is
$y=3\left(-3\right)+20=11$

Therefore, the solutions are (6,38) or (-3,11)

7 0

2 years ago

What is the solution to the following system?<br> X+2y+z=9<br> X-y+3z=13<br> 2z=10

Vinvika [58]

Answer: x = 0; y = 2; z = 5

Step-by-step explanation:

x+2y+z=9

x-y+3z=13

2z=10

Start with the last equation: 2z = 10, therefore z = 5 [easy]

Let's rewrite the second equation with 1) z=5, and 2) rearrange to find x:

x-y+3z = 13

x - y +3*5 = 13

x = y-2

Now use the values for x [(y-2)] and y [5] in the first equation:

X+2y+z=9

(y-2) +2y + 5 = 9

3y +3 = 9

3y = 6

y = 2

Now that we have y [2] and z [5], let's use the first equation to solve for x:

x+2y+z=9

x + 4 + 5 = 9

x + 9 = 9

x = 0

====

Try the three values (x=0, y=2, and z=5) in any of the formulas. The result should/will equal the number shown.

5 0

3 years ago

What is the best first step in solving the equation 3x2 + 8x = -5?

Rashid [163]

I would assume it would be dividing both sides by three although if someone were to actually solve this I would say multiply 2 and 3 together first.

Hope this helps :)

5 0

2 years ago

Systems of equations substitution y=8 y=x+1

klemol [59]

(8) = x +1

same thing as 8 = 1x

divide both sides by 1 and x = 8 Y= 8

6 0

2 years ago

What is the GCF of 54 and 32?

Musya8 [376]

3
32: 2 2 2 2 2
GCF: 2

8 0

3 years ago

Read 2 more answers