Since he must not exceed 8 hours driving in a day:
Let the distance of the picnic be = x km.
Therefore time for forward journey = x / 60
Return journey = x / 50
The total trip should not exceed 8 hours.
Therefore: x / 60 + x / 50 <= 8. LCM = 300
Taking LCM and multiplying on both sides:
5x + 6x <= 8(300)
11x <= 2400
x <= 2400/11
x <= 218.18
The picnic spot must be less than or equal to 218.18 km.
The tuition, school supplies, and boarding/housing for the expenses can student aid cover.
<h3>What is decision-making?</h3>
The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
The following expenses can student aid cover.
A. Tuition - A student aid cover can be utilized to promote the tuition.
B. Television - There is no use of the student aid cover for selling the TV.
C. School supplies - We can use the face of the topper on the school supplies to promote schooling.
D. Parties and socializing - There is no need for student aid cover for parties and socializing.
E. Boarding or housing - We can use student aid cover to promote the hostel for the student.
More about the decision-making link is given below.
brainly.com/question/3369578
Answer: C
Step-by-step explanation: your fast answer is C.
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
Answer:
Step-by-step explanation:
Given
Parallel lines A and B
Required
Find x
For A and B to be parallel, then 5x + 9 and 6x - 2 are alternate interior angles
And alternate interior angles are always equal
This means that
Collect like terms
Multiply both sides by -1
