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3 years ago

7

( 10 x 4 + 3 x 2 − 5 x + 4 ) + ( 7 x 5 − 5 x 4 + 2 x − 9 ) Add/subtract the polynomial

1 answer:

Allisa [31]3 years ago

6 0

Answer:

78

Step-by-step explanation:

I say 78 because ( 10×4+3×2-5+4)+(7×5-5×4+2×9= 78 there you go hope this helps

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An arithmetic sequence has this recursive formula: (a^1 =8, a^n= a^n-1 -6

eduard

Answer:

$a_n = 8 + (n - 1) (-6)$

Step-by-step explanation:

Given

$a_1 = 8$

Recursive: $a_{n} = a_{n-1} - 6$

Required

Determine the formula

Substitute 2 for n to determine $a_2$

$a_{2} = a_{2-1} - 6$

$a_{2} = a_{1} - 6$

Substitute $a_1 = 8$

$a_2 = 8 - 6$

$a_2 = 2$

Next is to determine the common difference, d;

$d = a_2 - a_1$

$d = 2 - 8$

$d = -6$

The nth term of an arithmetic sequence is calculated as

$a_n = a_1 + (n - 1)d$

Substitute $a_1 = 8$ and $d = -6$

$a_n = a_1 + (n - 1)d$

$a_n = 8 + (n - 1) (-6)$

Hence, the nth term of the sequence can be calculated using $a_n = 8 + (n - 1) (-6)$

3 0

3 years ago

I have to turn this in by tonight

Artist 52 [7]

Answer:

x = -11

Step-by-step explanation:

Convert fraction into negative exponential form: $(36^-^1)^x^-^4=(216^-^1)^x^+^1\\$

Simplify using exponent power rule: $(a^n)^m=a^n^m:36^-^x^+^4=216^-^x^-^1$

Convert both sides of the equation into terms with same base: $(6^2)^-^x^+^4=(6^3)^-^x^-^1$

Simplify using exponent power rule:

$(a^n)^m=a^n^m:6^-^2^x^+^8=6^-^3^x^-^3$

Based on the given conditions, corresponding exponents are equal:

$-2x=8=-3x-3$

Rearrange unknown terms to the left side of the equation:

$-2x+3x=-3-8$

Combine like terms: $x=-3-8$

Calculate the sum or difference: $x = -11$

Thurs, x = -11

[RevyBreeze]

5 0

2 years ago

Tickets for a concert cost $25 each. You have $180 to spend. Write

Mariulka [41]

Answer:

180 - 25(T)= 30

T=6

180 - 25(6)= 30

3 0

3 years ago

Show Your work to find X

Furkat [3]

Answer:

282 i believe

Step-by-step explanation:

4 0

3 years ago

Find the value of cos θ if the angle θ is in the third quadrant and sinθ= -0.8

Rudiy27

Correct option is D) -0.6.

<u>Step-by-step explanation:</u>

We have $sin\alpha = -0.8$ . Also, we know that $cos\alpha = \sqrt{1- (sin\alpha } )^{2}$ . Let's find out value of $cos\alpha$ using above formula:

$cos\alpha = \sqrt{1- (sin\alpha } )^{2}$

⇒ $cos\alpha = \sqrt{1- (sin\alpha } )^{2}$

⇒ $cos\alpha = \sqrt{1- (-0.8 } )^{2}$

⇒ $cos\alpha = \sqrt{1- (0.64 } )^{}$

⇒ $cos\alpha = \sqrt{0.36}$

⇒ $cos\alpha = 0.6$

But we know that cos $\alpha$ is negative in third quadrant , Therefore $cos\alpha = -0.6$ .

Hence, correct option is D) -0.6.

3 0

3 years ago