What are the roots of the polynomial equation?

x^2-x-72=0

Answer:

School related questions please

Step-by-step explanation:

And thanks for telling me

Answer:

The expression is: [tex]-30n + 70 = -80[/tex]

Step-by-step explanation:

Given

[tex]n = 5[/tex]

Multiply both sides by 3

[tex]3 * n = 5 * 3[/tex]

[tex]3n = 15[/tex]

Subtract both sides by 7

[tex]3n - 7 = 15 - 7[/tex]

[tex]3n - 7 = 8[/tex]

Multiply both sides by -10

[tex]-10(3n - 7) = -10*8[/tex]

[tex]-30n + 70 = -80[/tex]

To verify: Substitute 5 for n

[tex]-30 * 5 + 70 = -80[/tex]

[tex]-150 + 70 = -80[/tex]

[tex]-80 =-80[/tex] ---- Verified

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

1. [tex]\sqrt[3]{\frac{8}{216} }[/tex]

2. [tex]\sqrt[3]{\frac{1}{27} }[/tex]

3. [tex](\frac{1}{27})^{\frac{1}{3} }[/tex]

3. Since [tex](\frac{1}{3}^{3})[/tex] is [tex]\frac{1}{27}[/tex], the answer should be [tex]\frac{1}{3}[/tex].

Step-by-step explanation:

The area of a circle is given by :

A = πr²

r is the radius of the circle

(4) Diameter = 22 cm

Since, radius = diameter/2

r = 11 cm

Now, area of the circle,

[tex]A=\pi \times (11)^2\\\\A=380.13\ cm^2[/tex]

(5) Diameter = 30 cm

Since, radius = diameter/2

r = 15 cm

Now, area of the circle,

[tex]A=\pi \times (15)^2\\\\A=706.85\ cm^2[/tex]

(6) Diameter = 4cm

Since, radius = diameter/2

r = 2 cm

Now, area of the circle,

[tex]A=\pi \times (2)^2\\\\A=12.56\ cm^2[/tex]

So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.

Answer:

Multiply them and then add them altogether

so

Step-by-step explanation:

2x3=6

4x5=20

6x7=42

8x9=72

6+20+42+72= 140

6+20=26

26+42=68

68+72= 140

Answer:

10/28

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

X = -7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Answer:

Point Form:

( − 7 , − 10 )

Equation Form:

x = − 7, y = − 10

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

y = -10

Step-by-step explanation:

4x - 4y = 12

Substitute the x with -7, since it has been given.

4(-7) - 4y = 12

-28 - 4y = 12

Add 28 onto both sides

-28 + 28 - 4y = 12 + 28

-4y = 40

Divide by -4 to isolate the variable

-4y/-4 = 40/-4

y = - 10

Check:

Substitute the y and x

4x - 4y = 12

4(-7) - 4 ( -10 ) = 12

-28 + 40 = 12

12 = 12

or.....

try to see if x stays as -7

4x - 4y = 12

4x - 4 (-10) = 12

4x + 40 = 12

Subtract 40 onto both sides

4x + 40 - 40 = 12 - 40

4x = -28

Divide by 4 onto both sides to isolate the variable

4x/4 = -28/4

x = -7

And it's correct

Hope this helped!

Answer:

Perimeter is 60.4 + 4x

Step-by-step explanation:

12.2 + 12.2 + 4(x+9)

= 24.4 + 4x + 36

= 60.4 + 4x

Answer:

2/5 • (151 + 10x )

Step-by-step explanation:

(This is going to be a long one so i apologize in advance)

First, you need to simplify the equation you're given for this particular shape by collecting terms and calculating the sums:

12.2 + x + 9 + x + 9 + 12.2 + x + 9 + x + 9

61/5 + x + 9 + x + 9 + 61/5 + x + 9 + x + 9

122/5 + 4x + 36

2/5 • (61 + 5 • 2x + 5 • 18)

2/5 • (61 + 10x + 90)

2/5 • (151 + 10x )

Answer:

-2.1y + 12.9

Step-by-step explanation:

Answer:

12.9-2.1y

Step-by-step explanation:

Use the distributive property to multiply −0.5 by 12y−9.

8.4+3.9y−6y+4.5

Combine 3.9y and −6y to get −2.1y.

8.4−2.1y+4.5

Add 8.4 and 4.5 to get 12.9.

12.9−2.1y

Answer:

8x^6 divided by 2x^2 = 4x^4

9^7 multiplied 9^-5 = 81

Answer: C, 1 5/9

Step-by-step explanation:

16/9 - 2\9

= 14/9

= 14 ÷ 9

= 14/9 = 1 5/9

= 16/9 ÷ 2/9= 1 5/9

Answer:

624$

Step-by-step explanation:

Answer: [tex]x = 2\sqrt{15}[/tex]

Step-by-step explanation:

[tex]\dfrac{15}{x}=\dfrac{x}{4} \\\\ x \times x = 15 \times 4\\x^{2} =60\\x=\sqrt{60} =2\sqrt{15}[/tex]

Answer:

apple

Step-by-step explanation:

Answer:

its 5 seconds

Step-by-step explanation:

hope it helps not like that other guy

Answer:

6

Step-by-step explanation:

One fourth is ÷4

24÷4=6

Answer:

6...? I don't know why you are doing first grade math again...

Step-by-step explanation:

Answer:

3x - 5y = 17

3(9) - 5(2) = 17

27 - 10 = 17

x = 9

y = 2

---------------------

9x - 15y = -4

I believe this equation has no proper solution. Every "solution" I have found ends with repeating decimals & fractions.

Answer:

B is the answer

Step-by-step explanation:

Answer:

[tex]y=-314x-1261[/tex]

Step-by-step explanation:

When we are writing an equation we have to put it in slope-intercept-form [tex]y=mx+b[/tex]. We already know the slope it's -314, we replace m with the slope. Now we have to find b which is the y-intercept. So what we have to do is plug in the ordered pair into the equation. -4 for x and -5 for y.

[tex]y=mx+b\\-5=-314(-4)+b[/tex]

Now we solve

[tex]-5=-314(-4)+b\\-5= 1256+b\\b=-1261[/tex]

So now that we know everything we need we plug in and....

[tex]y=mx+b\\y=-314x-1261[/tex]

we've got our equation!

Answer:

The line slants upward, so the slope is positive.

Answer:

x=-20

Step-by-step explanation:

3x=-56-4

3x=-60

x=-20

Answer:

2^3x7

your welcome

Answer:

23× 7

Step-by-step explanation:

have a wonderful day!!! :) :)

Answer:

120 ways

Step-by-step explanation:

To solve this question, we would be using the law of combination.

In combination, we say that

nCr = n! / (n - r)! r!, where both r and n are integers.

Now, referring to question, we are asked how many ways we can arrange 3 toppings out of 10. This means we're looking for 10C3. Applying the earlier laid out formula, we have

10C3 = 10! / (10 - 3)! 3!

10C3 = 10! / 7! 3!

10C3 = 3628800 / 5040 * 6

10C3 = 3628800 / 30240

10C3 = 120

Therefore, the toppings can be arranged in 120 ways.

Leave a like if it helped you, please

Answer:

1 over 16

Step-by-step explanation:

Answer:

Bet

Step-by-step explanation:

It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? The answer is no, and that’s Fermat’s Last Theorem.

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

Answer:

L=25.25 in

W= 6.75in

Step-by-step explanation:

Step one

Given data

Let the width be x

W= x

and length

L= 3x+5

Perimeter= 64 in

Step two:

we want to find the dimension of the rectangle

We know that perimeter is

P= 2W+2L

64= 2*x+2*(3x+5)

64= 2x+6x+10

collect like terms

64-10=8x

54= 8x

divide both sides by 8

x= 54/8

x= 6.75in

We know that the length is

L= 3x+5

L= 3*6.75+5

L= 20.25+5

L=25.25 in

Answer:

I think it's 1 and two for example 2 times 7 is 14

Step-by-step explanation:

Answer:

2 and 3.

Step-by-step explanation:

To get a product of an even number, you have to either multiply two even numbers together or multiply an even number and an odd number together.

There is only one even prime number- 2.

Therefore, you can have any pair of prime numbers that, when multiplied together, get an even number as long as one of those numbers is 2.

2 and 3 work, as well as 2 and 5. The list goes on and on. Just choose a random prime number (that's not 2) and pair it with 2. It is guaranteed that when you multiply those two numbers together, you will get an even number.