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2 years ago

-3.6,-5.4,-8.1,-12.15 arithmetic or geometric or neither.

Mathematics

1 answer:

Brums [2.3K]2 years ago

8 0

Answer:

Geometric Sequence

Step-by-step explanation:

1. Check the difference.

The difference between the 1st and 2nd term

$( - 5.4) - ( - 3.6) = - 1.8$

The difference between the 2nd and 3rd term

$( - 8.1) - ( - 5.4) = - 2.7$

The difference is not the same. Therefore, it is not an arithmetic sequence.

2. Check the ratio

The ratio between the 1st and 2nd term

$( - 5.4) \div ( - 3.6) = 1.5$

The ratio between the 2nd and 3rd term

$( - 8.1) \div ( - 5.4) = 1.5$

The ratio is the same. Therefore, it is a geometric sequence.

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Write two ratios that are equivalent to 3/11

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2 years ago

The chef took out 54.8 g of butter but then found out that he took out 6.9 g of butter more than he needed. How much butter did

stira [4]

Answer:

47.9 gm

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Total butter took = 54.8 gm

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So, we can calculate the exact quantity of butter needed by using following formula,

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2 years ago

What is the discontinuity and zero of the function f(x) = 3x^2 + x - 4 / x-1

7nadin3 [17]

Ans: Option (1) Discontinuity at (1, 7), zero at ( negative four thirds , 0)

Explanation:
Given function:
$f(x) = \frac{3x^2 + x - 4}{x-1}$

Now if we plug in the x = 1, we would have discontinuity as function goes to infinity.

Now for f(1):
$f(x) = \frac{3x^2 + x - 4}{x-1} \\ f(x) = \frac{3x^2 + 4x - 3x - 4}{x-1} \\ f(x) = \frac{x(3x+4)-1(3x+4)}{x-1} \\ f(x) = \frac{(x-1)(3x+4)}{(x-1)} \\ f(x) = 3x+4 \\ now ~ insert ~ x=1: \\ f(1) = 3(1) + 4 = 7 \\ It~means~discontinuity~at~(1,7).\\ Now~let~us~find~zeros.\\ put~ f(x) = 3x+4 ~ equals~ to ~zero. \\ =\ \textgreater \ ~3x+4 = 0 \\ =\ \textgreater \ ~ x = \frac{-4}{3} \\ Hence~zeros=( \frac{-4}{3}, 0)$

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2 years ago

Write 56 as a product of primes. Use index notation when giving your answer.

mixas84 [53]

Answer:

56 as a product of primes using index notation is: $\mathbf{2^3 \times 7}$

Step-by-step explanation:

We need to write 56 as a product of primes.

Prime Numbers:

Numbers that are divisible by 1 or itself.

Now, writing 56 as product of primes

56 = 2 x 2 x 2 x 7

Now, Use index notation when giving your answer.

Index Notation:

Express elements in power form i.e. if we have 2 x 2 we can write it as 2^2

So, answer will be:

$56 = 2 \times 2 \times 2 \times 7$

$=2^3 \times 7$

So, 56 as a product of primes using index notation is: $\mathbf{2^3 \times 7}$

3 0

2 years ago