Answer:
x = -1 +/-2i
Step-by-step explanation:
Write the equation in standard form to find the roots, also known as the solutions, zeros, or x-intercepts, of the quadratic.
x² + 2x + 5 = 0
Use the quadratic formula by substituting a= 1, b = 2 and c = 5.
Answer:
dimo ba kayang answeran
Step-by-step explanation:
kaya muyan
Answer:
The inequality that comes from this equation is -2 < x < 0
Step-by-step explanation:
In order to solve this equation, we need to start by solving for the absolute value portion of the equation.
-5l2x + 2l + 7 > -3
-5l2x + 2l > -10
l2x + 2l < 2
Now we need to split the equation into two different portions. One with the absolute value symbol taken away. Then we do it again with the symbol flipped and the answer negated.
2x + 2 < 2
2x < 0
x < 0
And the negated version.
2x + 2 > -2
2x > -4
x > -2
Answer:
C y = 1/5x - 1
Step-by-step explanation:
Slope intercept form: y = mx + b where m = slope and b = y-intercept.
Substitute into the slope intercept form m= 1/5 and b = -1
y = 1/5x - 1
Considering there is a function (relationship) and that it is linear, the distance will change proportionally to time constantly. In other words, we are taking the speed to be constant throughout the journey.
If we let:
t = time (min's) driving
d = distance (miles) from destination
Then we can represent the above information as:
t = 40: d = 59
t = 52: d = 50
If we think of this as a graph, we can think of the x-axis representing time and the y-axis representing the distance to the destination. Being linear, the function will be a line, i.e. it will have a constant gradient. If you were plot the two points inferred from the information and connect the two dots, you will get a declining line (one with a negative gradient) representing the inversely proportional relationship or equally, the negative correlation between the time driving and the distance to the destination. The equation of this line will be the linear function that relates time and the distance to the destination. To find this linear function, we do as follows:
Find the gradient (m) of the line:
m = Δy/Δx
In this case, the x-values are t-values and our y-values are d-values, so:
Δy = Δd
= 50 - 59
= -9
Δx = Δt
= 52 - 40
= 12
m = -9/12 = -3/4
Note: m is equivalent to speed with units: d/t
Use formula to find function and rearrange to give it in the desired format:
y - y₁ = m(x - x₁)
d - 50 = -3/4(t - 52)
4d - 200 = -3t + 156
4d + 3t - 356 = 0
Let t = 70 to find d at the time:
4d + 3(70) - 356 = 0
4d + 210 - 356 = 0
4d - 146 = 0
4d = 146
d = 73/2 = 36.5 miles
So after 70 min's of driving, Dale will be 36.5 miles from his destination.
