Answer:
d) 16x² -56x +49
Step-by-step explanation:
The square of a binomial difference will have the form ...
(ax -b)² = a²x² -2abx +b²
__
The sign of the linear term will be negative, which eliminates choices A and C.
The linear term will be double the product of the roots of the other two terms.
In choice B, the linear term has a factor of 5 that appears nowhere else, so that cannot be a perfect square.
Choice D factors as ...
16x² -56x +49 = (4x -7)² . . . . the square of a difference
Hey there!
If you ever see the word "is" in a story problem, it means that there is an equal sign there. Let's apply that to this.
23800 =(is) 0.34i (income)
Now, we can solve for i by dividing.
23800/0.34= 70,000
Therefore, the annual income is $70,000.
I hope this helps! Have a great day!
Answer:
units to the right and 
units down
Step-by-step explanation:
we have
This is a vertical parabola open upward with vertex at point 
Step 1
Convert the function g(x) into vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
The function g(x) is a vertical parabola with the vertex at point 
Step 2
Find the rule of the translation
That means
The translation is units to the right and units down
Answer:
- 20 -5k = 4
- the LCM of the denominators is 10
Step-by-step explanation:
I find it convenient to do the problem in the reverse order: find the LCM, then distribute. That way, I'm not distributing a fraction.
The LCM of 2 and 5 is their product: 2·5 = 10. Multiplying the equation by 10 gives ...
5(4 -k) = 4
Now, distributing, we get ...
20 -5k = 4
