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blsea [12.9K]
2 years ago
12

Simplify: -3 ( 2x - 5) - 2 (4x + 3)

Mathematics
2 answers:
Karo-lina-s [1.5K]2 years ago
8 0

Answer:

the answer is C

Step-by-step explanation:

by doing the distributive property

multiplay the -3 with the numbers in the parenthesis (2x-5) and the same with -2 and (4x +3)

the result will be -6x+15-8x-6 now you need to combine like terms

-6x-8x  15-6

-14x+9

Dafna11 [192]2 years ago
3 0

Answer:

option b

Step-by-step explanation:

remove the parentheses

<em>-6x</em><em>+</em><em>1</em><em>5</em> -2(4x+3)

collect like terms

<em>-14x</em>+15-6

subtract the numbers

<u>1</u><u>5</u><u>-6</u>

-14x+<em>9</em>

<h3>I hope this helps!</h3>
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Question 29 of 40<br> Find f(-2) for f(x) = 5.3*.
blsea [12.9K]

Answer:

A. \frac{5}{9}

Step-by-step explanation:

To find f(-2) in f(x)=5*3^x, plug in -2 into all the x values.

f(-2)=5*3^-2, you can use calculator to calculate 3^-2 which equals 0.1, forever 1's.

f(-2)=5*0.1=0.5  Forever 5's.

f(-2)=0.5 or \frac{5}{9}

Hope this helps!

If not, I am sorry.

4 0
2 years ago
Complete the proof, word bank at bottom
Naya [18.7K]

Answer:

Step-by-step explanation:

2) definition of angle bisector

4) division property of equality

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7 0
2 years ago
The length of a rectangle is 6 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?
ss7ja [257]
The correct answer is:  [D]:  " 7.2 units" .
_______________________________________________________
Explanation:
________________________________________________________
Use the Pythagorean theorem:

a² + b² = c² ;

in which:  "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle);  and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle;  We wish to solve for "c" ;
_______________________________________________

6² + 4² = c² ;  Solve for "c" ;

↔ c² = 6² + 4² ; 

         = (6*6) + (4*4) ;
 
         = 36 + 16 ;

        =  52 ;

    c² = 52 ;

Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ; 

  √(c²)  =  √52 ; 

    c = √52 ;  

At this point, we know the 7² = 49 ;  8² = 64 ;  so, the answer is somewhere between "7" and "8" ; yet closer to "7" ;  so among the answer choices given; 

The correct answer is:  [D]:  " 7.2 units" .
_________________________________________
However, let use a calculator:

c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
   which corresponds to:  
___________________________________________
Answer choice:  [C]:  " 7.2 units" .
___________________________________________
5 0
3 years ago
Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1). 2 8 10 4
Klio2033 [76]
Hello!

You can solve this by plugging 1 into g(x) and plugging the result into h(x).

g(x) = 2x
g(1) = 2(1)
g(1) = 2

h(x) = 2x + 4
h(g(1)) = 2(2) + 4
h(g(1)) = 4 + 4
h(g(1)) = 8

Answer:
<span>(h ∘ g)(1) = 8</span>
8 0
3 years ago
What is the probability that you would pick a blue marble and roll a 5 OR 6?
NNADVOKAT [17]

Marble: 2/7

Dice: 2/6 = 1/3

7 0
3 years ago
Read 2 more answers
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