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creativ13 [48]
3 years ago
14

Deirdre is factoring the polynomial x2 + 2x – 24. Which combination can she use to replace the middle term, 2x?

Mathematics
2 answers:
mafiozo [28]3 years ago
3 0

to replace 2x we need +6x-4x

Naddika [18.5K]3 years ago
3 0

Answer:

6x - 4x

Step-by-step explanation:

x^2 + 2x – 24

We need to find out the factors that replace the middle term +2x

Constant term is -24

coefficient of middle term is +2

We need to find out two factors whose product is -24  and sum is +2

6  times (-4) = -24

6  + ( -4) = 2

So 6  and -4 gives us product -24  and sum +2

the middle term +2x can be written as 6x - 4x

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Let f(x) = x^2+ 5x and g(x) = 5 - x. Find f(3) + g(3)​
Alchen [17]

Answer:

26

Step-by-step explanation:

f(x)=x^2+5x g(x)=5‒x

f(3)=3^2+5(3) g(3)=5‒3

f(3)=9+15 g(3)=2

f(3)=24

f(3)+g(3)=24+2

=26

i think it is easy to understand &i hope it helps you

6 0
4 years ago
Translate the sentence into an equation. Five more than the product of a number and 9 is equal to 6
kap26 [50]
The first thing we will do for this case is to define the following variable:
 x = real number.
 We then have the following sentence:
 "Five more than the product of a number and 9 is equal to 6"
 The equation sought is:
 9x + 5 = 6
 Answer:
 
An equation for the sentence is:
 
9x + 5 = 6
6 0
4 years ago
Which special version of the Pythagorean Theorem can you use to find the length of any squares diagonal, d, using only the lengt
EleoNora [17]

The square's diagonal is the triangle's hypotenuse.

The Pythagorean theorem is = a^{2}+b^{2}=c^{2}

Here, 'c' is the hypotenuse and 'a' and 'b' are the two sides of the triangle.

As the side is given 12 inches, so this becomes

12^{2}+12^{2}=d^{2}

144+144=d^{2}

d^{2}=288

d=\sqrt{288}

d=16.97 inches

6 0
3 years ago
A pet supplier has a stock of parakeets of which 20% are blue parakeets. A pet store orders 3 parakeets from this supplier. If t
Levart [38]

Answer:

0.384

Step-by-step explanation:

pet supplier has a stock of parakeets of which 20% are blue parakeets

20/100 = 0.2 blue parakeets (success)

1-0.2 = 0.8 not parakeets (not success)

A pet store orders 3 parakeets from this supplier

we need to find the chance of getting exactly one blue from 3 parakeets

P(x=1)=nCr (p)^r(q)^{n-r}

n=3, r=1, p = 0.2 , q=0.8

P(x=1)=3C1 (0.2)^1(0.8)^{2}

0.384

5 0
3 years ago
Let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)
dlinn [17]

Answer:

(f - g)(x) = -x² + 3x + 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Function Notation
  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x + 5

g(x) = x²

(f - g)(x) is f(x) - g(x)

<u>Step 2: Find (f - g)(x)</u>

  1. Substitute:                   (f - g)(x) = 3x + 5 - x²
  2. Rewrite:                       (f - g)(x) = -x² + 3x + 5
7 0
3 years ago
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