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3 years ago

The upper limit for the function f(x) = x3 - 3x 2 - 2x + 15 is

1 answer:

6 0

By the zero product property, either (x^2 -4x + 4 = 0
which easily factors into (x-2)(x-2) and thus gives two roots of 2 and 2 
or 
( x^2 +3x -10) = 0 which also factors to give 2 and -5 
so all 4 roots : 2,2,2, -5 
and for your answer : { 2 and -5 }

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Which graph represent y= x2 - 2x -3

Stella [2.4K]

There is no image but I am happy to help if you attach one

4 0

3 years ago

Find the circumference of the circle. Round to the nearest tenth if necessary.

NikAS [45]

Answer:

c.132

Step-by-step explanation:

so we are given the diameter which is 42m **the diameter is the straight line that passes through the middle of the circle**

but in order to find the circumference we need to find the radius **the radius is always half (1/2,0.5) of the diameter**

so we have to divide 42/2 which equals 21

now we need to set up the formula;

c=2πr/c=2xπxr **when unknown variables such as 'r' are next to another mathematical numeral such as the pi symbol you don't really have to but the multiplication symbol between them**

c=2π21

=131.946891451

and in your case, it seems we must round to the tenths place so the nine then "becomes a ten" and you're left with 132

good luck :)

i hope this helps

have a good one !!

6 0

3 years ago

Solve please, thank you!

djyliett [7]

Answer:

c=8

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Question 10 The hypotenuse of a right triangle is I m longer than the longer leg. The other leg is 7 m shorter than the longer l

bonufazy [111]

Answer:

5, 12, 13

Step-by-step explanation:

let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg

Using Pythagoras' identity in the right triangle

x² + (x - 7)² = (x + 1)² ← expand using FOIL

x² + x² - 14x + 49 = x² + 2x + 1

2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )

x² - 16x + 48 = 0 ← in standard form

(x - 4)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 12 = 0 ⇒ x = 12

x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible

x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13

The lengths of the 3 sides are

longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m

5 0

2 years ago

If one factor of x2 + 2x – 24 is (x+6), what is the other factor?

11111nata11111 [884]

Answer:

Your answer would be (x-4)

Step-by-step explanation:

If you follow the steps of factoring, first you need to set it up. I always start with the term with the variable first.

(x+_)(x+_)

And since we already know one of the factors, we can put that in our expression.

(x+6)(x+_)

Now remember the trick FOIL.

You multiply the FIRSTS together, then the OUTSIDES, then the INSIDES, and finally the LASTS.

To figure out our last blank we us this trick, but backwards. To get the 24 at the end of your expression x^2+2x-24 you multiply the LASTS together. So 6*_=-24. (remember the subtraction sign stays as a negative with the 24) That answer is -4

Hope that makes sense, and good luck!

3 0

3 years ago