Answer:
B
Step-by-step explanation:
The solution to a system of equations is where the two lines intersect at the exact same (x,y).
On the graph below, the point of intersection is between x values -6 & -7 and between y values -3 & -4. The best estimate would be half way between each of these values.
(-6.5, -3.5)
The correct answer is: [D]: " 4x² − 12x − 4 " .
___________________________________________________
Explanation:
___________________________________________________
Given:
___________________________________________________
" (16x² − 16) + ( -12x² − 12x + 12) " ; Simplify.
___________________________________________________
Note the "distributive property of multiplication:
___________________________________________________
a(b + c) = ab + ac ;
a(b − c) = ab − ac .
___________________________________________________
So we can rewrite the expression as:
" (16x² − 16) + 1( -12x² − 12x + 12) " ;
{The "1" is implied; since "1", multiplied by any value, results in the exact same value.}.
Let us examine the following part of the expression:
_________________________________________________
" + 1 ( -12x² − 12x + 12 ) " ;
Using the distributive property of multiplication:
" + 1 ( -12x² − 12x + 12 ) = (1 * -12x²) − (1 * 12x) + (1 * 12) ;
= " − 12x² − 12x + 12 " ;
_________________________________________________
Now, bring down the other part of the expression; & rewrite:
_________________________________________________
→ " (16x² − 16) − 12x² − 12x + 12 " ;
→ " 16x² − 16 − 12x² − 12x + 12 " ;
Now, combine the "like terms" :
+ 16x² − 12x² = 4x² ;
− 16 + 12 = -4 ;
and we have " − 12x" ;
So we can rewrite the expression as:
_______________________________________________________
→ " 4x² − 12x − 4 " ;
→ which is: "Answer choice: [D]: " 4x² − 12x − 4 <span>" .
</span>_______________________________________________________
Answer:
The Temperature in the afternoon was 
.
Step-by-step explanation:
Given:
Temperature in the morning = 
Rise in temperature = 
We need to find the temperature in the afternoon.
Solution:
Now we know that;
temperature in the afternoon is equal to Temperature in the morning plus Rise in temperature in afternoon.
framing in equation form we get;
temperature in the afternoon = 
Hence the Temperature in the afternoon was .
Answer:
28 degrees
Step-by-step explanation:
The given figure is an octagon. The sum of interior angles in an octagon is 1080. Thus, one can form an equation, add up all of the angle measures, and set the equation equal to 1080. Then simplify and use inverse operations to find the value of the parameter (t).
(150) + (3t + 34) + (5t) + (5t) + (3t + 37) + (7t - 49) + (5t - 16) + (5t) = 1080
Simplify,
33t + 156 = 1080
Inverse operations,
33t + 156 = 1080
-156 -156
33t = 924
/33 /33
t = 28
Answer:
4 lol
Step-by-step explanation:
