Answer:
7 = -x^2 +16
x^2 -16 = 7
x^2 -23 = 0
Using quadratic equation
x = -0 +- sqrt (23^2 - 4*1*23) / 2 * 1
x = sqrt (0 - -92) / 2
x = sqrt (92) / 2
x1 = 4.7958
x2 = -4.7958
(I tried to answer your question - even though you posted no question - AND you posted no graphics)
Step-by-step explanation:
Answer:
Rule: If working with an inequality and you either mult. or div. by a negative number, you must reverse the direction of the inequality symbol.
Step-by-step explanation:
Your job here is to simplify 9t-4>32, in which the variable (t) is already positive. Here you do NOT switch signs or reverse the direction of the inequality symbol. Adding 4 to both sides, we get 9t > 36, or t > 4.
If, however, you had -9t-4>32 to work with, the situation would be different because t in this inequality is negative. Adding 4 to both sides results in:
-9t > 36. To solve for t, we must divide both sides by -9 AND reverse the direction of the inequality symbol:
t < -4.
Rule: If working with an inequality and you either mult. or div. by a negative number, you must reverse the direction of the inequality symbol.
Answer:
0.5 quarts of orange juice per quart of punch
Step-by-step explanation:
1.5/3=0.5
Find the common denominator of 3 and 12 which would be 12.
Then we add the 2 fractions together to get 9/12.
Now we know that 9/12 of the guests chose chicken and beef.
We also know that 69 guests is equivalent to 3/12 which can be simplified down to get 1/4.
So now we can do 69x4 to get 4/4 which is also 12/12, the amount of guests .
69x4 is 276
Your final should be 276.