9514 1404 393
Answer:
54 -6m
Step-by-step explanation:
For values of m < 9, the argument of the absolute value function is less than 0. Then the expression evaluates to ...
-(6m -54) = 54 -6m
Given:
Three different integer addition expressions equal −5.
To find:
The three different integer addition expressions.
Solution:
We know that 0 is the identity element under addition. It means if we add 0 to a number we get the same number.
One expression is .
The other expression are:
Therefore, the three different integer addition expressions that are equal to -5 are .
Number 5.)
A.)
First, we would want to make an equation. Aiden knows that each nickel is 3.2 grams. He also knows that his collection is 185.6 grams. Therefore, his collection can be represented by the following(x being equal to how many nickels he has)
3.2x=185.6
You can find out how many nickels he has by isolating the variable. In this case, you would simply divide each side by 3.2. Giving us:
x=58
Aiden has 58 nickels in his collection.
B)
This is built off number 5. A nickel is five cents. Aiden has 58 nickels. To find the total amount of change he has, we can make the following equation:
5(58)=y
Then simply
Aiden has 290 cents. Or 2 dollars and 90 cents.
I don’t know how to solve the rest. Sorry!
In the given figure, a line is given with two arrows over the letters U and V depicting the points. Such a line can be represnted as UV or VU with a double headed arrow above it.
Hence, option A and B are corrrect.
Answer:
Option B will be the correct one.
Step-by-step explanation:
See the attached graph.
Here, the graph of f(x) = |x - 7| - 3 is plotted.
Now, from the definition of the absolute value function
f(x) = x - 7 - 3 = x - 10, for x ≥ 7 ............ (1) and
f(x) = - x + 7 - 3 = - x + 4, for x < 7 ............. (2)
Now, for x ≥ 7, the plotted graph passes through the points (7,-3) and (10, 0) and equation (1) satisfies the points.
Again, for x < 7, the plotted graph passes through the points (4,0) and (0,4) and equation (2) satisfies the points.
Hence, option B will be correct one.