Answer:
|x-3|-5
Step-by-step explanation:
f(x) = |x|
These lines are lines of absolute value equations. g(x) is shifted 3 units left so we subtract 3 from within the bars, and shifted down 5 units so we subtract 5 from the absolute value which leaves us with |x-3|-5
Answer:
The solutions listed from the smallest to the greatest are:
x:

y: -1 1 -1 1
Step-by-step explanation:
The slope of the tangent line at a point of the curve is:


The tangent line is horizontal when
. Then:



, for all 
, for all 
The first four solutions are:
x:

y: 1 -1 1 -1
The solutions listed from the smallest to the greatest are:
x:

y: -1 1 -1 1
Answer:To calculate the standard deviation of those numbers:
1.Work out the Mean (the simple average of the numbers)
2.Then for each number: subtract the Mean and square the result.
3.Then work out the mean of those squared differences.
4.Take the square root of that and we are done!
Step-by-step explanation:
The number of outcomes available in Boulder and Sarasota will be 4 and 6. Then the total number of outcomes available in Boulder and Sarasota will be 10.
<h3>What are permutation and combination?</h3>
A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Angelica is comparing vacation prices in Boulder, Colorado, and Sarasota, Florida. In Boulder, she can choose a 1- or 2-week stay in a 1- or 2-bedroom suite. In Sarasota, she can choose a 1-, 2-, or 3-week stay in a 2- or 3-bedroom suite, on the beach or not.
The number of outcomes is available in Boulder will be
→ 2 x 2
→ 4
The number of outcomes is available in Sarasota will be
→ 3 x 2
→ 6
The number of outcomes is available in Boulder and Sarasota will be
→ 4 + 6
→ 10
More about the permutation and the combination link is given below.
brainly.com/question/11732255
#SPJ1
Answer:
x = 8; y = 29
Step-by-step explanation:
In a parallelogram, opposite angles are congruent.
8x = 7x + 8
x = 8
4y = y + 87
3y = 87
y = 29