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nata0808 [166]
3 years ago
9

Use sigma notation to represent the following series for 8 terms.

Mathematics
2 answers:
Nana76 [90]3 years ago
6 0

Answer: D

Step-by-step explanation:

because its right

love history [14]3 years ago
6 0
Wish I could help but doing it for points
You might be interested in
Please help!!! i'll give brainliest and offering 20 pts each!!!
Aleks04 [339]

Answer:

  • 5(x +1.5)^2
  • 10(x +1)^2
  • 1/4(x +2)^2
  • 3(x +5/6)^2

Step-by-step explanation:

When your desired form is expanded, it becomes ...

  a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2

b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

_____

<em>Additional comment</em>

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

8 0
3 years ago
If chuck travels 310 miles and dana travels 295 at the same time, but chuck rate of travel is 3 mph more than dana and they trav
Alisiya [41]

Hello!

Let's write this as an equation below.

310/3+d=295/d

As you can see, we can cross-multiply this proportion giving us the equation below.

310d=295(3+d)

310d= 295d+885

Now, we subtract 295d from both sides.

15d=885

Now we divide both sides of the equation by 15.

d=59

Therefore, Dana travels 59 mph.

I hope this helps!

6 0
3 years ago
What is the range of the function f(x)= -2x-4 when the domain is {-3,-2,-1}?
Paha777 [63]
F(-3)=(-2)*(-3)-4=6-4=2

F(-2)=(-2)*(-2)-4=4-4=0

F(-1)=(-2)*(-1)-4=2-4=-2
6 0
3 years ago
A landscaping company has been commissioned to design a triangular flower bed for a mall
Deffense [45]

Answer:

A=b(1/2b-1)

112ft^2

Step-by-step explanation:

-Write the equation in factored form: A= b (1/2 b -1 )

-Supposed the base of the flower bed is 16 feet. What will the area be:

b=16 feet

Formula is A=1/2(1/2b-1)

Replace the b with 16

A=1/2 (16)^2 - 16

A=1/2 (256)-16

A=256/2 - 16

A=128-16

A=112 ft^2

The area will be 112 ft^2

3 0
3 years ago
What amount of money must Kurt Blixen invest at 4.75% to have it earn $10,000 in 90 days?
Westkost [7]

Answer:

He have to invest $527.777778 .

Step-by-step explanation:

X : 4.75% = $10,000 : 90

6 0
2 years ago
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