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3 years ago

Determine the common difference between successive terms in the sequence.

1 answer:

4 0

This is an arithmetic sequence....to find the common difference, subtract the first term from the second term
0.26 - 0.36 = - 0.10.....so the common difference is -0.10. That means u add -0.10 to each term to get the next term.

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When 23 is subtracted from 5 times a certain number the result is 87

allsm [11]

5x-23=87
add 23 to both sides
5x=110
divide both sides by 5
x=22

To check your answer...
5(22)-23=87
110-23=87
87=87

8 0

3 years ago

Mr.varela bought a block of fudge that weighed 3/4 of a pound. He cut the fudge into 2 equal pieces. What was the weight of each

OleMash [197]

To do this, multiply 3/4 by 1/2 and you end up with 3/8 lb. or 0.375 lb.

6 0

3 years ago

Of 5 Sarah, Fiona and David share £40 in a ratio 3:3:2. How much money does each person get?

Olin [163]

Answer:

Step-by-step explanation:

3/8 x £40 = £15 for Sarah

3/8 x £40 = £15 for Fiona

2/8 x£40 = £10 for david

6 0

3 years ago

Read 2 more answers

What is the measure of angle 2?

Darya [45]

Answer:

Step-by-step explanation:

because that angle is a little less than half of 90 so 42 is the best answer

5 0

3 years ago

HEEELP

Drupady [299]

Answer: (c)

Step-by-step explanation:

Given

$f(x)=\dfrac{1}{x-3}\\\\g(x)=\sqrt{x+5}$

Here, $\sqrt{x+5}\ \text{is always greater than equal to 0}\\\Rightarrow x+5\geq 0\\\Rightarrow x\geq -5\quad \ldots(i)$

To get $f\left(g(x)\right)$ , replace $x$ in $f(x)$ by $g(x)\ \text{i.e. by}\ \sqrt{x+5}$

$\Rightarrow f\left(g(x)\right)=\dfrac{1}{\sqrt{x+5}-3}\\\\\text{Denominator must not be equal to 0}\\\\\therefore \sqrt{x+5}-3\neq0\\\Rightarrow \sqrt{x+5}\neq 3\\\Rightarrow x+5\neq 9\\\Rightarrow x\neq 4\quad \ldots(ii)$

Using $(i)$ and $(ii)$ it can be concluded that the domain of $f\left(g(x)\right)$ is all real numbers except 0.

Therefore, its domain is given by

$x\in [-5,4)\cup (4,\infty)$

Option (c) is correct.

5 0

3 years ago