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grigory [225]
3 years ago
12

9 is subtracted by the sqaure of a number

Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

Answer:

I believe it is x^2-9

Step-by-step explanation:

Since we don't have a specific "number" you use x. It says it's squared to put an exponent of 2. It also says that 9 is subtracted by it so put -9.

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The Ortiz family will travel from Indianapolis to Denver this summer. The driving distance between the two cities is 1,058 miles
lakkis [162]
<span>A. Write and solve an algrebraic equation to find out how many gallons of gas they will use. Explain your steps.

let x = gallons of gas they will use
    y = distance traveled

x = y/20 
x = 1058/20 = 52.9 gallons of gas

B. Write and solve an algebraic equation to find out how many miles they will travel.

</span>let x = distance traveled
    y = gallons of gas used

x = 20y
x = 20(52.9) 
x = 1058 miles

Hope this helps. Have a nice day.
7 0
3 years ago
Write the expression in factored form
olchik [2.2K]
2.)\\ \\ n^2 - 9n +14 = 0 \\ \\ a=1 , \ b = -9, \ c = 14 \\ \\\Delta =b^2-4ac = (-9)^2 -4\cdot1\cdot 14 = 81 -56 = 25 \\ \\n_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{9-\sqrt{25}}{2 }=\frac{ 9-5}{2}=\frac{4}{2}= 2

n_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{9+\sqrt{25}}{2 }=\frac{ 9+5}{2}=\frac{14}{2}= 7 \\ \\ Answer : \ n^2 - 9n +14 =(n-2)(n-7)



3.)\\ \\ n^2 + 4n - 12 =0 \\ \\ a=1 , \ b = 4, \ c = -12 \\ \\\Delta =b^2-4ac = 4^2 -4\cdot1\cdot (-12) = 16+48=64 \\ \\n_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{-4-\sqrt{64}}{2 }=\frac{ -4-8}{2}=\frac{-12}{2}= -6

n_{2}=\frac{-b+\sqrt{\Delta} }{2a}= \frac{-4+\sqrt{64}}{2 }=\frac{ -4+8}{2}=\frac{4}{2}=2\\ \\ Answer : \ n^2 +4n -12 =(n+6)(n-2)


second way :

2.)\\ \\ n^2 - 9n +14 = n^2 - 9n+2n -2n +14 = n^2 - 7x -2n +14 =\\ \\ = n(n-7)-2(n-7)=(n-7)(n- 2)\\ \\ \\ Answer : \ n^2 - 9n +14 =(n-2)(n-7)
 

3.)\\ \\ n^2 + 4n - 12 = n^2 + 4n +2n - 2n - 12 = n^2 + 6n - 2n - 12 =\\ \\ = n(n+6) -2(n+6)=(n+6)(n-2) \\ \\ \\ Answer : \ n^2 +4n -12 =(n+6)(n-2)



5 0
4 years ago
Read 2 more answers
A blueprint for a house shows the height of the house to be inches. The actual house is feet tall. What is the unit rate in feet
Yuliya22 [10]
1 foot per 12 inches

8 0
3 years ago
Use the following functions rule to find f1 f(x)=(3)x+10
Shalnov [3]

Answer:

13 is answer...................

4 0
3 years ago
Read 2 more answers
You have a normal distribution of hours per week that music students practice. The mean of the values is 8 and the standard devi
Alona [7]

Answer:

38%

Step-by-step explanation:

Given that X,the hours per week the music student practice follow a normal distribution.

X:N(8,4)

We have to find the percentage of students who practice between 6 and 10 hours.

6<x<10 implies converting to z

We know z = (x-mean)/sigma = (x-8)/4

Hence 6<x<10 is equivalent to (6-8/4)<Z<(10-8/4)

= |z|<0.5

From std normal table we find this area equals = 0.1915+0.1915

=0.3830 = 0.38 (rounded off)

Hence required percentage = 0.38x100 = 38%

5 0
3 years ago
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