Answer:
D
Step-by-step explanation:
In the original expression = 37.4 - 54.9 = -17.5
So, we have to solve all the equations but 1 of them has to equal to -17.5
A) -54.9 + (-37.4) = -92.3
Remove parentheses
= -54.9 - 37.4
Subtract the numbers
-92.3
B) 54.9 - 37.4 = 17.5
Since 54.9 is greater than 37.4 just subtract normally
4 14
5 4. 9 < ------- Line up the decimal points like this
- 3 7. 4 <--------- Subtract the decimals
-----------------
1 7 . 5 <---------- This is the final answer to B.
C) 37.4 - (- 54.9) = 92.3
Change the sign to addition
=37.4 + 54.9
Add the numbers normally
54.9
+ 37. 4
--------------
92.3
D) 37.4 + (-54.9) = -17.5
Change the sign to subtraction
= 37.4 - 54.9
Subtract them normally (but as you can see you are subtracting a smaller number from a larger number so heres a trick that you can use switch the equation by putting the larger number in first like this....)
54.9 - 37.4 = 17.5 (REMEMBER the answer is not 17.5 because the original equation of D is reversed 37.4 - 54.9 so in this case your answer should be
- 17.5)
37.4 - 54.9 = -17.5
Your final answer is D because it matches 37.4 - 54.9.
Hope this helps!
[5, +∞) ∪ (-∞,7] is the notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7.
We need to use interval notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7.
<h3>What is a set?</h3>
A set is a mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
Let x belong to the set of real numbers (R)
Now, x≥5 and x≤7.
So, x≥5⇒[5, +∞) and x≤7⇒(-∞,7]
Therefore, the notation will be [5, +∞) ∪ (-∞,7].
To learn more about sets visit:
brainly.com/question/8053622.
#SPJ1
((p^2)-pq) - ((q^2)-pq)
(p^2) - (q^2) - 2pq
Answer:
ydyeheuuru u ieuegeoeororpe
When you're graphing a line in slope-intercept form (y = mx + b), your first step is to look at b, which is your y-intercept. The y-intercept is where your line touches the y-axis.
Slope-intercept form is y = mx + b, but for y = -5x doesn't have a b, so you have to add one. You can do this by adding + 0 to the end, since it won't change your equation.
y = -5x + 0
b = y-intercept = 0
m = slope = -5
So, your line will start at 0 on the y-intercept, which will be at the origin point (0,0).
Your slope is -5, or , so you'll go down 5 and then to the right 1.
A few points on your line should be (0,0), (1,-5), and (-1,5).