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Citrus2011 [14]
3 years ago
13

1 question need help thank you!!

Mathematics
1 answer:
inn [45]3 years ago
7 0
The correct answer is:  [D]:  "  x² – 5x – 24 " .
____________________________________________________
Explanation:
_____________________________________
Given:  " (x + 3)(x – 8) " ; expand :
______________________________________
Note:  (a + b) (c + d) = ac + ad + bc + bd .
_____________________________________
a = x ; 

b = 3 ; 

c = x  

d = 8
_______________________________________

   " (x + 3)(x – 8) " ; 

        =  (x * x)  + ( -8 * x)  + ( 3 * x ) + (3 * -8) ; 

        =  x² + (-8x) + 3x + (-24) ;

         = x² – 8x + 3x – 24 ;

→ Combine the "like terms" :

          – 8x  +  3x  =  – 5x ;

And simplify the expression; 

to get: 

→  " x² – 5x – 24 " ; which is:  Answer choice:  [D]:  " x² – 5x – 24 " .
________________________________________________________
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Juan recently entered into a contract for a cell phone plan. The table shows the monthly cost in dollars, f(x), if Juan sends x
Delicious77 [7]

Answer:

A linear function is represented

Step-by-step explanation:

The table is:

x   f(x)

0   10.00

1    10.02

2   10.04

3   10.06

4   10.08

5   10.10

If we compute the difference between two consecutive function values and we divide it by the difference between their associated x values we get:

(10.02 - 10.00)/(1-0) = 0.02

(10.04 - 10.02)/(2-1) = 0.02

(10.06 - 10.04)/(3-2) = 0.02

(10.08 - 10.06)/(4-3) = 0.02

(10.10 - 10.08)/(5-4) = 0.02

This constant result indicates that a linear function is represented.

5 0
3 years ago
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kipiarov [429]

Answer:

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Step-by-step explanation:

5 0
2 years ago
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angl
Alenkinab [10]

The sum of the angle 5 and angle 6 is 180 degrees. Then the correct option is C.

<h3>What is Supplementary angle?</h3>

When two angles are said to be supplementary angles if their sum is 180 degrees.

A triangle is shown with its exterior angles.

The interior angles of the triangle are angles 2, 3, 5.

The exterior angle at angle 2 is angle 1.

The exterior angle at angle 3 is angle 4.

The exterior angle at angle 5 is angle 6.

We know that the sum of interior and exterior angle of the triangle is 180 degrees.

∠1 + ∠2 = 180°

∠3 + ∠4 = 180°

∠5 + ∠6 = 180°

Then the correct option is C.

More about the Supplementary angle link is given below.

brainly.com/question/15767203

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3 0
2 years ago
If mZDEC = (12x - 3), mZBCE =
kati45 [8]

Answer:

Step-by-step explanation:

12x - 3 = 180 - (7x - 26) supplementary angles

19x = 209

   x = 11

m∠DEC = 12(11) - 3 = 129°

m∠BCE = 7(11) - 26 = 51°

M∠ADE = 129 - 72 = 57°  exterior angle rule

m∠EDB = 180 - 57 = 123° supplementary angles

m∠DBC = 57° corresponding angle to ADE

3 0
2 years ago
Find the 53rd term of the arithmetic sequence<br> 27,11, -5
vivado [14]

Answer:

The 53rd term of this arithmetic sequence is -805.

Step-by-step explanation:

The general rule of an arithmetic sequence is the following:

a_{n+1} = a_{n} + d

In which d is the common diference between each term, that is, d = a_{3} - a_{2} = a_{2} - a_{1}.

To find the nth term of the sequence, this equation can be written as:

a_{n} = a_{1} + (n-1)d

27,11, -5

So a_{1} = 27, a_{2} - a_{1} = 11 - 27 = -16[/tex[tex]a_{n} = a_{1} + (n-1)d

a_{53} = a_{1} + (52)d = 27 + 52*(-16) = -805

The 53rd term of this arithmetic sequence is -805.

3 0
2 years ago
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