Given the equation - x² + 5x = 3, which can be rewritten as:
- x² + 5x - 3 = 0
where a = -1, b = 5 and c = -3.
Quadratic formula:
![\frac{-b\text{ }\pm\text{ }\sqrt[]{b^2\text{ - 4ac}}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%5Ctext%7B%20%7D%5Cpm%5Ctext%7B%20%7D%5Csqrt%5B%5D%7Bb%5E2%5Ctext%7B%20-%204ac%7D%7D%7D%7B2a%7D)
Now, we just replace the values of a, b and c on the equation above.
![\frac{-5\text{ }\pm\text{ }\sqrt[]{5^2\text{ - 4(-1)(3)}}}{2(-1)}](https://tex.z-dn.net/?f=%5Cfrac%7B-5%5Ctext%7B%20%7D%5Cpm%5Ctext%7B%20%7D%5Csqrt%5B%5D%7B5%5E2%5Ctext%7B%20-%204%28-1%29%283%29%7D%7D%7D%7B2%28-1%29%7D)
=
Answer:
D
Step-by-step explanation:
A)
3(2) + 4(-2) = -2 2(2)-4(-2) = -8
6 - 8 = -2 4 + 8 = -8
Correct Incorrect
B)
3(6) + 4(-5) = -2 2(6) - 4(-5) = -8
18 - 20 = -2 12 + 20 = -8
Correct incorrect
C)
3(4) + 4(4) = -2
12 + 8 = -2
incorrect
D)
3(-2) + 4(1) =-2 2(-2) - 4(1) = -8
-6 + 4 = -2 -4 - 4 = -8
Correct Correct
Best way is process of elimination
The average speed is given by:
average speed=(total distance)/(total time)
total time for the first 30 miles was:
time=distance/speed
=30/30
=1 hr
total time for the remaining 30 miles
=30/60
=0.5
hence the average speed will be:
speed=(30+30)/(1+0.5)=60/1.5=40 miles per hour
The right answer is Option C.
Step-by-step explanation:
Given,
Smartphone sold = 1300000 units
Smartphones returned = 15%
No. of smartphones returned = 15% of smartphones sold
No. of smartphones returned =
No. of smartphones returned = 0.15*1300000 = 195000 units
As sales and return rate remains same, therefore,
Returns in 6 months = 6*per month returns

1170000 units will be returned to the company during 6 months.
The right answer is Option C.
Keywords: multiplication, return rate
Learn more about multiplication at:
#LearnwithBrainly
Answer:
13.70
Step-by-step explanation:
a^2+b^2=c^2
a = side 1
b = side 2
c = hypotenuse
9.2^2 + b^2 = 16.5^2
272.25 - 84.64 = 187.61 =b^2
√187.61 = b = 13.697 = 13.70