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Nikitich [7]
3 years ago
13

(5 pts) A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0. Select all

Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0

Answers:

  • a) True. Plug in x = 0 and it leads to y = c. Therefore, the point (0,c) is on the parabola.
  • b) False. Plug in y = 0 and apply the quadratic formula. One x intercept may sometimes be x = c, but it could easily be other values as well. Or perhaps you may not get any real number solutions at all. See part d) below.
  • c) True. If a < 0, then the leading coefficient is negative. Overall, both endpoints will tend toward negative infinity to produce a parabola that opens downward.
  • d) False. The quadratic may have one x intercept or it may not have any x intercepts at all. It depends on what the discriminant d = b^2 - 4ac is equal to. If d < 0, then we have no x intercepts. If d = 0, then we have exactly 1 x intercept. If d > 0, then we have two different x intercepts.
  • e) True. The vertex's x coordinate is -b/(2a). If b = 0, then the x coordinate of the vertex is 0. The vertical line x = 0 is directly on top of the y axis.
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William and his three friends went out for lunch. The bill was $34 and they left a 15% tip. They want to split the bill equally.
slavikrds [6]

Answer:

Each person will pay $9.78

Step-by-step explanation:

Given that:

Amount of bill = $34

Tip = 15%

Amount of tip = \frac{15}{100}*34

Amount of tip = 0.15 * 34

Amount of tip = $5.10

Amount after bill = 34 + 5.10 = $39.10

Number of people = William + three friends = 4

Per person share = \frac{39.10}{4}

Per person share = $9.775

Rounded to two decimal places

Per person share = $9.78

Hence,

Each person will pay $9.78

8 0
3 years ago
The height of dachshunds is usually 1/3 their length. If Mollie is 20 inches long, how tall is she?
arlik [135]

This is a proportion problem.

Let's make her Length x and her height 1/3 x.

1/3 x = 20 inches

x = 6 2/3 inches

Molly's height is 6 2/3 inches.

Check it.

6 2/3 x 3 = ? (change the mixed number to a fraction)

20/3 x 3 = ? (multiply)

60/3 = ? (divide)

20 inches. Yes, it checks.

8 0
3 years ago
Read 2 more answers
Why is a variable exponent a number plus a variable adds eg: (x)*+(x) =?<br>​
oksano4ka [1.4K]

Answer:

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3 0
3 years ago
What would be the value of 150 after eight years if you earn 12 percent interest per year
Monica [59]
The answer depends on what type of interest. If you are using compound interest, then the interest is different every year, as the amount you earn goes up because the amount you have in the bank goes up. Simple interest is the opposite, as you earn one amount each year, and it does not change.
So.....
Simple Interest:
0.12 * 150 = 18
18 * 8 = 144
144 + 150 = $294
Compound Interest:
150(1 + 0.12)^8
150 * 1.12^8
150 * 2.475 = $371
5 0
3 years ago
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The area of a rectangular floor is 3.5m^2, one side is 1.5m longer than the other. Calculate the dimension
USPshnik [31]

Answer:

the area= 12.25 one side =: 1.5 then the dimension then answer is 13.75

8 0
3 years ago
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