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Solnce55 [7]
4 years ago
14

Solve by completing the square -x^2+8x-6=0

Mathematics
1 answer:
Svetllana [295]4 years ago
6 0
-x² + 8x - 6 = 0
x = <u>-(8) +/- √((8)² - 4(-1)(-6))</u>
                     2(-1)
x = <u>-8 +/- √(64 - 20)</u>
                 -2
x = <u>-8 +/- √(44)
</u>              -2<u>
</u>x = <u>-8 +/- 2√(11)
</u>              -2
x = <u>-8 + 2√(11)</u>         x = <u>-8 - 2√(11)
</u>             -2                            -2<u>
</u>x = 4 - √(11)             x = -8 + √(11)
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the volume V of a gas at a constant temperature varies inversely with the pressure P. when the volume is 100 cubic inches the pr
fiasKO [112]

Answer:

The pressure is 20\ psi

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

In this problem we have

V*P=k

where

V is the volume of a gas at a constant temperature

P is the pressure

we have

For V=100\ in^{3},P=25\ psi

step 1

Find the value of k

substitute the values of V and P

100*25=k

k=2,500

The equation is equal to  V*P=2,500

step 2

Find the pressure when the volume is 125 cubic inches

For V=125\ in^{3}

substitute in the equation and solve for P

125*P=2,500

P=2,500/125=20\ psi

8 0
3 years ago
I need help somebody please​
user100 [1]

Answer 24a + 6

Step-by-step explanation:

8 + 18a -2 + 6a

18a + 6a = 24a

8 - 2 = 6

24a + 6

4 0
2 years ago
Another Asap question plzzzz!!!!!!!!!!
Hunter-Best [27]

Answer:

(0,-4)

(2,-1)

The first point because it is the y-intercept

second point because it is found our by 3/2 as the slope. slope is rise/run. so you rise three and move to the side 2. as is the point (2,-1)

Hope this helps

3 0
3 years ago
E=6c^2-2c-1<br> F=-4c^2+7c+5<br> E+F=
kifflom [539]

Answer:

E + F =   2c^2  + 5c + 4

Step-by-step explanation:

E=6c^2-2c-1

F=-4c^2+7c+5

E+F=  6c^2   -2c   -1  +  -4c^2   +   7c   +  5

E + F =   6c^2 - 4c^2  - 2c + 7c  - 1  + 5

E + F =   2c^2  + 5c + 4

4 0
3 years ago
at an amusement park a person spends $30 on admission and food and then goes on r number of rides that cost $2 each
stepladder [879]
The question is find the equation, in the function and standard notations, that represent the amount spent in the range of 0 to 5 rides.

Constant cost: $30
Independent variable, number of rides: r
Variable cost: $2r

Total spend, s(r): 30 + 2r

Function: s(r) = 30 + 2r, for 0 ≤r ≤ 5  ----- this is the function notation

Standard form: s(r) is the dependent variable = s

s = 30 + 2r => s - 2r = 30 =>

s + (-2)r = 30, for 0 ≤ r ≤ 5 ------ this is the standard form

5 0
3 years ago
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