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andriy [413]
2 years ago
12

Consider the parabola given by the equation: f(x) = 2x2 + 14.0 – 4

Mathematics
1 answer:
Softa [21]2 years ago
5 0

Answer:

Step-by-step explanation:

f(x)  = 2x² + 14x - 4

= 2(x² + 7x) - 4

= 2(x² +7x + 3.5²) - 2(3.5²) - 4

= 2(x+3.5)² - 28.5

vertex (3.5, -28.5) = (7/2, -57/2)

The vertical intercept is the y-intercept, i.e., f(0) = -4.

The x-intercepts are the values of x for which y=0.

2x² + 14x - 4  = 0

x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27

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What is the percent of change if the price changes from $150 to $100? Round to the nearest whole percent if necessary.
lisabon 2012 [21]

Answer:

Percentual change= 33.33% decrease

Step-by-step explanation:

Giving the following information:

Present value (PV)= $150

Future value (FV)= $100

<u>To calculate the percentual change, we need to use the following formula:</u>

Percentual change= [(PV - FV) / PV]*100

Percentual change= [(150 - 100) / 150]*1''

Percentual change= 0.3333*100

Percentual change= 33.33% decrease

4 0
3 years ago
12 is 15% of what?<br> HELP
oksian1 [2.3K]

Answer:

80

Step-by-step explanation

Write down the equation: (15 / 100) * x = 12

Solve for x: x = 12 / (15 / 100)

x = (12 * 100) / 15

or, x = 80

   Hope this helps!

8 0
3 years ago
1. The company has agreed on a 9- character password format, comprised of uppercase letters, lower case letters, and digits (0-9
pochemuha

Answer: a) 1977060966, b) 146581344.

Step-by-step explanation:

Since we have given that

There are 10 numbers,

There are 26 lower case letters,

There are 26 upper case letters,

Since the first 3 characters have to be digits and next 6 can be upper or lower.

So, a) repetitions are allowed:

10^3\times (26+26)^6\\\\=10^3\times 52^6\\\\=1977060966

b) repetitions are not allowed:

^{10}P_3\times ^{52}C_6\\\\=720\times 20358520\\\\=146581344

Hence, a) 1977060966, b) 146581344.

5 0
3 years ago
The table shows the relationship y = kx.
sammy [17]

Answer: it’s 1/5

Step-by-step explanation:

6 0
3 years ago
The entire graph of the function f is shown in the figure below.
postnew [5]

Answer:

below

Step-by-step explanation:

domain. = ( -5 , 4)

range = ( -2 , 3)

6 0
3 years ago
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