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Olin [163]
2 years ago
10

What is the equation of the quadratic function that has x intercepts of -2 and 9?

Mathematics
1 answer:
gayaneshka [121]2 years ago
3 0

Answer:

f(x) = (x - 9)(x + 2) = x^2 - 7x - 18

Step-by-step explanation:

If the x-intercepts are -2 and 9, then the factors of this quadratic are (x + 2) and (x - 9).  Multiplying these two factors together, we get:

f(x) = (x - 9)(x + 2) = x^2 - 9x + 2x -18, or

f(x) = (x - 9)(x + 2) = x^2 - 7x - 18

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Two cars that are 150 miles apart start driving toward each other on parallel roads. The average speed of the first car is 60 mi
Semmy [17]

Answer:

60T + 55T = 150

Step-by-step explanation:

T(60+55)=150\\115T=150

T=150/115=1.304 hr

The cars takes 1.304 hrs (1h 18 min aprox) to pass each other

Hope this helps

5 0
2 years ago
Indica si el siguiente número es primo o compuesto<br> 84
Irina-Kira [14]

Answer:

84 es un número compuesto. 84 = 1 x 84, 2 x 42, 3 x 28, 4 x 21, 6 x 14 o 7 x 12. Factores de 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28 , 42, 84.

Step-by-step explanation:

6 0
2 years ago
A druggist needs 25 liters of a solution that is 16% iodine. She has one solution that is 12 % iodine and another that is 37 %.
GalinKa [24]

Answer:

21 liters of the 12% solution and 4 liters of the 37% solution

Step-by-step explanation:

Represent the number of liters of the first solution as x and the second as y. Now, the total liters of iodine is going to be 16% of 25 = 4 liters of iodine, and the total liters of each solution is going to be 25. Now, we can setup two equations:

0.12x+0.37y = 4

x + y = 25

Multiplying the bottom equation by 0.12, we have

0.12x + 0.12y = 3

Subtracting, we have

0.12x+0.37y=4

-

0.12x + 0.12y = 3

= 0.25y = 1

= y = 4

= x = 25 - 4 = 21

7 0
2 years ago
Find the median and mean of the data set below:<br> 36,4,27,46,46
adelina 88 [10]

Answer:

The mean is

31.8

The median is 36

5 0
2 years ago
A math book comprises of 2 sections: arithmetic and geometry in the ratio 5:3. How much of each type of content will be needed t
Alex_Xolod [135]
480/8=60

(60*5) : (60*3) = 300:180
4 0
3 years ago
Read 2 more answers
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