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Drupady [299]
3 years ago
9

The functions f(x) = (x + 1)2 − 2 and g(x) = −(x − 2)2 + 1 have been rewritten using the completing-the-square method. Apply you

r knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.
Mathematics
1 answer:
forsale [732]3 years ago
5 0

Answer:

Step-by-step explanation:

A positive parabola is one that has a + sign out front or no sign at all (and the positive is understood).  A positive parabola opens like a cup with a bottom.  Therefore, the positive parabola has a min value.  A negative parabola opens upside down, like a mountain with a peak.  Therefore, the negative parabola has a max value.

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What is the simplified form of 4x plus 2 over x plus 5 minus the fraction 3x plus 1 over x plus 5?
viva [34]
We have that

[(4x+2)/(x+5)]-[(3x+1)/(x+5)]
<span>They have common denominators, so just add the numerators like normal fractions:</span>
=[(4x+2)-(3x+1)]/(x+5)
=[(4x+2-3x-1)]/(x+5)
=[(x+1)]/(x+5)

the answer is
(x+1)/(x+5)
4 0
3 years ago
Read 2 more answers
The reciprocal of 1/2
12345 [234]

Answer:

2

Step-by-step explanation:

When you "flip" the fraction, switching the numerators and denominators, you get 2/1 which is just 2.  

6 0
3 years ago
Read 2 more answers
A hockey season ticket holder pays $88.56 for her tickets plus $5.00 for a program each game. A second person pays $19.76 for a
Aleksandr-060686 [28]

Answer: x = 6

Step-by-step explanation: If you take 88.56 + 5x = 19.76x, an equation, you should first rearrange the variables to the left side of the equation: 5x - 19.76x = -88.56.

Next, you should combine your like terms. So, -14.76 = -88.56.

Then, divide both sides of the equation by the coefficient of variable. So, x = -88.56 / -14.76./

Lastly, calculate. Determine the sign for multiplication or division, so x = 88.56 / 14.76. Multiply both the numerator and denominator with the same integer. So, x = 8856 / 1476. Cross out the common factor, then you get your answer of x = 6

5 0
2 years ago
A painter uses 2.75 gallons of paint per hour. How many gallons of paint will the painter use in 3.5 hours?
anygoal [31]

Answer:

9.625 gallons will be used by the painters in 3.5 hours

Step-by-step explanation:

2.75 gallons = 1 hr

X gallons = 3.5 hrs

X = (3.5 × 2.75)/1

X = 9.625 gallons

9.625 gallons will be used by the painters in 3.5 hours

8 0
2 years ago
Read 2 more answers
Pls help me divide this radical and pls show work
Alenkinab [10]
Let's start by rationalizing the radical:

4√6/√50 * √50/√50

This gets rid of the radical in the denominator, giving us:

4√300/50

√300 can be simplified to √3 * √100 or 10√3. Now we can insert this back into the numerator:

4 * 10√3/50

This is equivalent to:

40√3/50

40/50 can be simplified to 4/5.

Therefore, the answer is 4√3/5.
5 0
3 years ago
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