Answer:
Choice D
Step-by-step explanation:
(9.1 x 10^5) - (9.3 x 10^4)
910000 - 93000 = 817,000 = 8.17 x 10^5
usually, you would want <u>a whole number</u> in standard notation
A. 0.817 x 10^6 = 817,000
B. 817 x 10^3 = 817,000
C. 8.17 x 10^4 = 81,700
D. 8.17 x 10^5 = 817,000
Step-by-step explanation:
remember, the general formula to solve a quadratic equation ax² + bx + c = 0 is
x = (-b ± sqrt(b² - 4ac))/(2a)
a)
I think there is a typo, and this should be
5x² - 7x = 72
5x² -7x - 72 = 0
x = (7 ± sqrt(49 - -1440))/10 = (7 ± sqrt(1489))/10
x1 = (7 + sqrt(1489))/10
x2 = (7 - sqrt(1489))/10
b)
x(x + 2) = 5
x² + 2x - 5 = 0
x = (-2 ± sqrt(4 - -20))/2 = (-2 ± sqrt(24))/2 =
= (-2 ± sqrt(4×6))/2 = (-2 ± 2×sqrt(6))/2 =
= -1 ± sqrt(6)
x1 = -1 + sqrt(6)
x2 = -1 - sqrt(6)
c)
3x² + 2x - 4 = 0
x = (-2 ± sqrt(4 - -48))/6 = (-2 ± sqrt(52))/6 =
= (-2 ± sqrt(4×13))/6 = (-2 ± 2×sqrt(13))/6 =
= (-1 ± sqrt(13))/3
x1 = (-1 + sqrt(13))/3
x2 = (-1 - sqrt(13))/3
48,x ,x have to equal 180
the second x is also 48
180- (48+48)= 84
the inside angles of a triangle equal 180.
90+84 = 174
180-174=6
i think z=6
Answer:
240
Step-by-step explanation:
Using long division i got this :
0 2 4 0
3 2 7 6 8 0
− 0
7 6
− 6 4
1 2 8
− 1 2 8
0 0
− 0
0
Hope this helps!
375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased
Step-by-step explanation:
Let x be the number lower reserved tickets
and
y be the number of upper reserved tickets
Then according to given statements
![x+y = 740\ \ \ \ Eqn\ 1\\9.50x+8y = 6482.50\ \ \ \ Eqn\ 2](https://tex.z-dn.net/?f=x%2By%20%3D%20740%5C%20%5C%20%5C%20%5C%20Eqn%5C%201%5C%5C9.50x%2B8y%20%3D%206482.50%5C%20%5C%20%5C%20%5C%20Eqn%5C%202)
From equation 1:
![x = 740-y](https://tex.z-dn.net/?f=x%20%3D%20740-y)
Putting in equation 2
![9.5(740-y)+8y = 6482.50\\7030-9.5y+8y = 6482.50\\7030-1.5y = 6482.50](https://tex.z-dn.net/?f=9.5%28740-y%29%2B8y%20%3D%206482.50%5C%5C7030-9.5y%2B8y%20%3D%206482.50%5C%5C7030-1.5y%20%3D%206482.50)
Subtracting 7030 from both sides
![7030-7030-1.5y = 6482.50-7030\\-1.5y=-547.5](https://tex.z-dn.net/?f=7030-7030-1.5y%20%3D%206482.50-7030%5C%5C-1.5y%3D-547.5)
Dividing both sides by -1.5
![\frac{-1.5y}{-1.5} = \frac{-547.5}{-1.5}\\y = 365](https://tex.z-dn.net/?f=%5Cfrac%7B-1.5y%7D%7B-1.5%7D%20%3D%20%5Cfrac%7B-547.5%7D%7B-1.5%7D%5C%5Cy%20%3D%20365)
Putting y = 365 in equation 1
![x+365 = 740\\x = 740 - 365\\x = 375](https://tex.z-dn.net/?f=x%2B365%20%3D%20740%5C%5Cx%20%3D%20740%20-%20365%5C%5Cx%20%3D%20375)
Hence,
375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased
Keywords: Linear equations, Variables
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