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vaieri [72.5K]
3 years ago
7

50 POINTS!! HELP!!

Mathematics
1 answer:
marta [7]3 years ago
6 0
(x+5)(x-3)
8+2x

Tell them to remember to combine like terms
Tell them to not forget PEMDAS

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FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , thus

S_{20} = \frac{20}{2} [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

8 0
3 years ago
If two sets are negatively correlated, as the values in one of the sets increase, the values in the other set tend to
Oksana_A [137]
If the first set began to increase, than the other set tends to decrease.
5 0
3 years ago
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What are the X and Y intercepts of y= -2(x-4)2 +3
kari74 [83]

Answer: x-intercepts are ( 2.775,0) and (5.225,0)

And y-intercept is (0,-29)

Step-by-step explanation:

Here the given equation is,

y = -2(x-4)^2+3

For x-intercept, y = 0,

Put y = 0 in the above equation of parabola,

We get, -2(x-4)^2 + 3 = 0

-2(x^2+16+8x) + 3 = 0

-2x^2-32-16x + 3 = 0

-2x^2-16x -29 = 0

By solving this equation,

We get, x = 2.775 or x = 5.225

Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)

Now, for y-intercept, x = 0

By putting x = 0 in the given equation of parabola,

We get, y = -29

Thus, y-intercept of the given parabola = (0,-29)



4 0
3 years ago
What is the value of y in the equation 2(3y + 6 + 3) = 196 − 16?
Vlad [161]
The answer is 27, I had it on a test.
6 0
3 years ago
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Which explicit formula can be used to find the accounts balance at the beginning of year 3?
balandron [24]

The formula for the amount A in an account with principal P and interest rate r compounded annually for t years is

... A(t) = P(1+r)^t

You want to find A when P=400, r=0.05, and t=3. Substituting those values gives you

... A(3) = 400·(1 +0.05)³

The appropriate choice is

... A. A(3) = 400·(1 +0.05)³

7 0
3 years ago
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