Answer:
a2 =14
a4 = 22
a11 = 50
Step-by-step explanation:
an = 10 + (n-1) *4
n is the term number
Let n =2
a2 = 10 +(2-1)*4 =10 +(1)*4 = 14
Let n =4
a4= 10 + (4-1)*4 = 10 *3*4 = 10+12 = 22
Let n = 11
a11 = 10 +(11-1)*4 = 10 *10*4 = 10+40 = 50
1 liter per 12 buckets, 3 liters per 4 buckets, 6 liters per 2 buckets, and 4 per 3.
Answer:
17. y=1/2x+5
18. y=-2x+15
19. y=2x-7
Step-by-step explanation:
Number 17.
(4,7); parallel to y=1/2x-1
You know that lines that are parallel to each other have the same slope, so the slope is 1/2x.
1. Use the point-slope formula to solve for the slope-intercept equation.
y-y1=m(x-x1)
m= 1/2
x= 4
y= 7
y-7= 1/2(x-4)
y-7= 1/2x-2
y=1/2x+5
Number 18.
(4,7); perpendicular to y=1/2x-1
You know that lines that are perpendicular to each other have the opposite reciprocal slope, so the slope is -2.
1. Use the point-slope formula to solve for the slope-intercept equation.
y-y1=m(x-x1)
m= -2
x= 4
y= 7
y-7=-2(x-4)
y-7=-2x+8
y=-2x+15
Number 19.
f(3)=-1
f(4)=1
To write a linear equation, first find the slope with the slope formula.
x1= 3
y1= -1
x2= 4
y2=1
(y2-y1)/(x2-x1)
(1-(-1))/(4-3)
2/1
m=2
Use the point-slope formula and solve for the slope-intercept equation.
y-y1=m(x-x1)
y-1=2(x-4)
y-1=2x-8
y=2x-7
It'd be A since dividing on a negative coefficient results flipping the sign of the inequality and results in a different impact
Answer:
Let the number of hours traveled by train be "x".
The x = the number of hours traveled by plane.
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Equation:
train distance + plane distance = 1300 miles
50x + 275x = 1300
x(325) = 1300
x = 4 hours
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The trip took 8 hrs.
Step-by-step explanation:
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