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Ronch [10]
3 years ago
6

What is the equation for the quadratic function with roots -10 and -8 and a vertex at (-9, -3).

Mathematics
1 answer:
Mazyrski [523]3 years ago
3 0
Equation with roots -10 and -8 is: y = a(x + 10)(x + 8) = a(x^2 + 18x + 80) = ax^2 + 18ax + 80a . . . . . . . . (1)
Equation with vertex at (-9, -3) is y = a(x + 9)^2 - 3 = a(x^2 + 18x + 81) - 3 = ax^2 + 18ax + 81a - 3 . . . . . . . . (2)
From (1) and (2), we have
80a = 81a - 3
a = 3

Therefore, required equation is:
y = 3x^2 + 18(3)x + 80(3) = 3x^2 + 54x + 240
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tamaranim1 [39]
1 hour time 40 miles/ hour =1*40=40miles
0.5 *70=0.5*70=35 miles
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60 minutes+30 minutes= 90 minutes or 1 1/2hours
3 0
4 years ago
I legit do not know which it is.
nexus9112 [7]

Given:

The inequality is

c\leq 7

Where, c is the number of cars in the parking lot.

To find:

The graph for the given inequality.

Solution:

We have,

c\leq 7

Here, the value of c can be any real number less than or equal to 7. But c is the number of cars, so c must be a non-zero integer.

Since, all the non-zero integer values less than or equal to 7 are included in the solution set, therefore, c = 0,1, 2,3,4, 5,6,7.

In the graph of the given inequality, there are close circles on  0,1, 2,3,4, 5,6,7 as shown in option D.

Therefore, the correct option is D.

4 0
3 years ago
Evan is going to the 50th state fair this weekend, it cost $10 to enter and each ride is $2. Create a linear function that could
alexgriva [62]

Answer:

y represents the total amount he spent in x amount of rides+ the $10 fee.

Step-by-step explanation:

At x=0, y=10 because he needs to pay $10 to enter, and he haven't rode on anything yet.

x=1, y=12

x=2, y=14

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... and so on.

3 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEE
Helen [10]

Step-by-step explanation:

  • Angle UQN = Angle QNM, in alternate interior angle relation
  • so Angle QNM will be x.
  • Now we know that the angles inside a triangle sum up to give 180⁰,that is x+x+42⁰=180⁰

2x+42⁰=180⁰

2x=180⁰- 42⁰

2x= 138⁰

x= 138⁰/2

x= 69⁰

6 0
3 years ago
PLEASE HELP ASAP!!
Furkat [3]
For school A: 2, 2, 3, 7, 10,10,14, 17, 22
School A : 2,2,3,7,10,10,14,17,22
Part A: (2 + 3) / 2 = 5/2 = 2.5
The Median is 10
(14 + 17) / 2 = 31/2 = 15.5
The IQR Is Q3 - Q1 = 15.5 - 2.5 = 13

For School B: <span>Nope, not symmetrical. The space between the medians should be the same number.

Hope this Helps. I can explain more if you have an comments.
</span>

4 0
3 years ago
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