MATHEMATICS MIDDLE SCHOOL

Find a degree three polynomial having zeros -6, -8 and -3 and a leading coefficient equal to one

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

hello  :

f(x) = (x+3)(x+6)(x+8)

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Which is a solution to the equation?(x - 3)(x - 5) = 35x= -8x=-5x=2x = 10

The square of the sum of two numbers is 144 and the sum of their square is 180, find the numbers ​

Answers

Answer:

x = 13.35, y = - 1.35

or, x = 1.35, y = - 13.35

or, x = - 13.35, y = 1.35

Step-by-step explanation:

Let us assume that x and y are the two numbers.

So, given that (x + y)² = 144

⇒ x² + 2xy + y² = 144 ........ (1)

⇒ x + y = ± 12 ......... (2)

Again, x² + y² = 180 ........... (3)

Now, from equations (1) and (3) we can write 2xy + 180 = 144

⇒ 2xy = - 36

⇒ xy = - 18 ........ (4)

Now, for x + y = 12

⇒ x - (18)/(x) = 12

⇒ x² - 18 = 12x

⇒ x² - 12x - 18 = 0

Using the quadratic formula

x = \frac{12 \pm \sqrt{(-12)^(2) - 4(1)(-18) } }{2}

⇒ x = (12 \pm 14.7)/(2) = 13.35, 1.35

Now, for x = 13.35, from equation (4) we get, y = - 1.35

And for x = 1.35, from equation (4) we get, y = - 13.35

Now, for x + y = - 12

⇒ x² + 12x - 18 = 0

Using the quadratic formula,

x = \frac{- 12 \pm \sqrt{12^(2) - 4(1)(-18)}}{2}

⇒ x = (- 12 \pm 14.7)/(2) = 1.34, -13.35

Now, for x = - 13.35, from equation (4) we get, y = 1.35

And for x = 1.35, from equation (4) we get, y = - 13.35

Therefore, x = 13.35, y = - 1.35

or, x = 1.35, y = - 13.35

or, x = - 13.35, y = 1.35 (Answer)

Which equation represents a proportional relationship that has a constant of proportionality equal to 0.7

Answers

y=ax\to(y)/(x)=a=const.

a - the constant of proportionality

We have the constant of proportionality a = 0.7.

Therefore the equation is:

y = 0.7x

Answer:

y= 0.7x                      ...................................................................................                                                                                                  

How can I get better at math quickly

Answers

Answer:

Just parctice :D and keep learning

What is (-14)+(-6)+6 can you explain and add me

Answers

With negative numbers you have to think of them on a number line... 0 in the middle, if you have a positive number you go right on the number line. If you have a negative number you go left.

So, for example...
(-14) + (-6)

you are starting at -14 on the number line then adding a negative 6, so you go 6 more places to the left on the number line and now you are at -20.

then -20 + 6

Now you start at -20 and add 6 so you move 6 places to the right on the number line, so you are back to -14.

(-14) + (-6) + 6=
-20 + 6 =
-14
(-14)+(-6)+6=-14
because all you have to do is add them all up.

If Logan's family can drive 23 1/8 miles on 1 gallon of gas how far can they drive on 17 gallons?

Answers

They can drive 393 and 1/8 miles on 17 gallons. Just multiply 17 times the number of miles they drove for one gallon (23 1/8).

find the area of a triangle with a base length of 4 units and a height of 5 units A. 8 units B. 9 units C. 10 units D. 20 units

Answers

Area = Base x 1/2height
 Answer is C) 10

Answer:

C. 10 square units got it right.

Step-by-step explanation:

hope it helps :D
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