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3 years ago

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.

1 answer:

Klio2033 [76]3 years ago

6 0

The firs term
A(1)=-6+(1-1)(6)
A(1)=-6+(0)(6)
A(1)=-6

The fourh term
A(n)=-6+(n-1)(6)
A(4)=-6+(4-1)(6)
A(4)=-6+(3)(6)
A(4)=-6+18
A(4)=12

The tenth term
A(10)=-6+(10-1)(6)
A(10)=-6+(9)(6)
A(10)=-6+54
A(10)=48

Answer:
D. -6,12,48

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Complete the equation of the line through (3, -8) and (6,-4).<br> Use exact numbers.

Lina20 [59]

Answer:

y = 4/3x - 12

Step-by-step explanation:

To find the slope of the line, we do (y2 - y1) / (x2 - x1)

If we put in the values, we'll get

(-4 - -8) / (6 - 3)

Simplify and get

(-4 + 8) / 3

4 / 3

Your slope is now 4/3, so you can put it into your equation y = mx + b

y = 4/3x + b

To find b, we can plug in the values from one of your points. Lets use (3, -8)

-8 = 4/3 * 3 + b

Now solve the equation

-8 = 4 + b

-12 = b

Now that you have b, your equation is complete:

y = 4/3x - 12

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3 years ago

If i start my trip driving at x mph for a hours and then go 5 mph slower for the next 2 hours what is the total distance i trave

Darya [45]

Total distance travelled = (x.a + 2x -10) miles .

How to solve such time related questions?

The key concept for solving such questions is the relationship between speed, distance and time.

The relationship between them is Distance = Speed X Time

The whole trip can be divided into two parts

Part 1 :- Speed = x mph and time = a hours

∴ Distance = x .a miles

Part 2 :- Speed = x -5mph and time = 2 hours

∴ Distance =(x-5).2 = (2x -10)miles

Total distance = (x.a + 2x -10) miles

Learn more about Distances here :

brainly.com/question/6716662

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2 years ago

√x + x+13 =?<br> domain

hram777 [196]

$\sqrt{x}+x+13}\\\\\sqrt{x}\ exist\ for\ x\geq0.\\\\Therefore\ the\ domain:\\\\x\geq0\to x\in\mathbb{R^+}\cup\{0\}\to x\in\left[0,\ \infty\right)$

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3 years ago

Marc sold 516 tickets for the school play. Student tickets cost $3 and adult tickets cost $5. Marc's sales totaled $2046. How ma

mrs_skeptik [129]

Let student tickets are x and adult tickets are y

x + y = 516.........x = 516 - y .........(substitute in 2)

3x + 5y = 2046 ......(2)

3(516-y) + 5y = 2046

1548 - 3y + 5y = 2046

2y = 498

y = 249

x = 516 - y = 516 - 249 = 267

so the correct answer is b

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4 years ago

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