Answer: Andre can make 6 small cranes.
Step-by-step explanation:
3x + 10 is less than or equal to 30
3 is the minutes for the small cranes
X is the amount of small cranes
10 is the minutes for the large crane
30 is the total time limit
first, subtract 10 from 30, which gives you 20 so
3x is less than or equal to 20.
to figure this out, divide 20 by 3, which gives you 6 with a remainder of two minutes.
credits:
breannacaitlin6 solved it
Answer:
5. It's halfway between the x-intercepts.
Step-by-step explanation:
The vertex is halfway between the two x-intercepts when parabola is coordinate of the vertex. The points and x and y intercept crosses the x-axis vertically so that a u shaped lines are formed. The quadratic equation is used to find the points on the parabola.
Answer:
The 17th term in arithmetic sequence is 68
Step-by-step explanation:
The general formula of arithmetic sequence is:
aₙ = a₁ + (n – 1)d.
We are given a₆ = 101 and a₉ = 83 and we need to find a₁₇
To find the term a₁₇ we should know a₁ and d. So we would find both
a₆ = a₁ +(6-1)d
101 = a₁ +(5)d
101 = a₁ +5d eq(1)
and
a₉ = a₁ +(9-1)d
83 = a₁ + 8d eq(2)
Subtracting eq(2) from eq(1)
101 = a₁ +5d
83 = a₁ + 8d
- - -
__________
18 = -3d
=> d = 18/-3
=> d = -6
Putting value of d in eq(1)
101 = a₁ + 5d
101 = a₁ + 5(-3)
101 = a₁ -15
=> a₁ = 101+15
=> a₁ = 116
Now finding a₁₇:
aₙ = a₁ + (n – 1)d.
a₁₇ = 116 +(17-1)(-3)
a₁₇ = 116+(16)(-3)
a₁₇ = 116 - 48
a₁₇ = 68
So, the 17th term in arithmetic sequence is 68
Answer:
-11s^3 -4
Step-by-step explanation:
( -22s^4t -8st) /2st
Separate into parts
-22s^4t / 2st -8st /2st
-11 s^3 -4
To find the solution to this, we need to use the substitution method.
y = -5x + 3
Substitute the value for y.
y =1
1 = -5x + 3
Now, solve for x.
1-3 = -5x + 3 Apply the inverse operation to both sides of the equation.
-3
1-3 is -2
-2 = -5x
-5x/-5 = -2/-5
x = 0.4
Final answer:- x = 0.4 y = 1
