Answer: y= (x+2)² −
5
Step-by-step explanation:
The way I got this answer is by completing the square. The first step though, when looking at this equation, is to see if we can factor it. The way to check is to look at the coefficient for x² which is 1, and the constant, in this case -1. If we multiply those together, we get −. Now we look at the middle term, 4x. We need to find any numbers that multiply to equal − 1x² and add to 4x. There aren't any, which means it is not factorable.
Hope I helped
<h2>
Explanation:</h2>
The rational expression is given by:
The denominator can't be zero, therefore:
Finally,<em> the values of x that make the rational expression undefined are </em>
<em></em>
<em>x = 7 and x = -7</em>
Answer:
There is sufficient evidence at the 0.05 level
Null hypothesis ; H0 : p = 0.47
Alternative hypothesis : H1 : p ≠ 0.47
Step-by-step explanation:
percentage favoring construction of adjoining community = 47%
level = 0.05
To determine if the 0.05 confidence level is enough to support the major's claim we have to state the Null and alternative hypothesis
Null hypothesis ; H0 : p = 0.47
Alternative hypothesis : H1 : p ≠ 0.47
Answer:
$537.60
Step-by-step explanation:
12% increase is the same as multiplying by 1.12, 480*1.12=537.60
Answer:
The ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.
Step-by-step explanation:
As we have to make 100g of jam
so
- Amount of strawberries = 57g
-
Amount of blackberries = 13g
Thus
The amount of sugar needs to be added to the mixture: 100 - (57 - 13) = 56g
Therefore, the ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.
