Answer:
w= -2
Step-by-step explanation:
3w + 2 = 8 + 6w
Subtract 3w from each side
3w-3w + 2 = 8 + 6w-3w
2 = 8+3w
Subtract 8 from each side
2-8 = 8-8+3w
-6 = 3w
Divide each side by 3
-6/3 = 3w/3
-2 =w
Answer:
A. The graph of
is the graph of
stretched vertically, flipped over the x axis, and shifted 7 units down.
Step-by-step explanation:
Given:

In order to transform
to
, we need to follow the following transformation rules:
1. Multiply the function by the number 2. According to transformation rules, multiplying a function by a positive number greater than 1 results in vertical stretch of the function's graph.
2. Multiply by -1. Multiplying a function by -1 flips it over the x axis.
3. Add -7 to the function obtained in step 2. When a negative number C is added to a function, then the graph shift down by C units. So, here the graph shifts down by 7 units.
Thus, the graph of
is the graph of
stretched vertically, flipped over the x axis, and shifted 7 units down.
The number of ways can 8 people be seated in a circle if 3 people insist on sitting next to each other is 56 ways.
<h3>How to illustrate the information?</h3>
Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.
Combination formula
nCr = n! / ((n – r)! r!)
n = the number of items.
r = how many items are taken at a time.
This will be:
= 8! / (8 - 3!) 3!
= 8! / 5! 3!
= 8 × 7 × 6 / 3 × 2
= 5
There can be 56 ways.
Learn more about combinations on:
brainly.com/question/4658834
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Answer:
they sold 14 pizzas all day.
Step-by-step explanation:
4 x 2 = 8
0.5 means half of what they sold in the afternoon
4 ÷ 2 = 2
now add them both together to get the number of pizzas they sold at night.
8 + 2 = 10
now add the afternoon and night together
10 + 4 = 14
answer: 14 pizzas