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antoniya [11.8K]
3 years ago
11

Simplify a)3/7×28/15÷14/5 b)7/8+1/16-1/12

Mathematics
1 answer:
netineya [11]3 years ago
5 0

Answer:

a)2/7

b)41/48

<em />

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

<u>-Question A-</u>

1) Rephrase the problem to look like this:

3/7*28/15*5/14 <-- when dividing fractions you actually multiply by the reciprocal (opposite)

2) Multiply across the above phrase:

420/1470

3) Simplify your fraction:

2/7

There is nothing else to be done with 2/7 and thus it is your final answer.

<u></u>

<u>-Question B-</u>

1) Get the denominator of all 3 fractions to the same Least Common Denominator (48):

42/48 + 3/48 - 4/48

2) Do the arithmetic in the phrase above:

41/48

41/48 cannot be simplified and thus is your final answer

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The function LaTeX: f\left(x\right)=2\cdot5^xf ( x ) = 2 ⋅ 5 x can be used to represent an exponential growth curve. Which of th
masha68 [24]

Answer:

(2,20)

Step-by-step explanation:

The given function is

f(x) = 2 \cdot \:  {5}^{x}

To see which point is not on this curve, we must substitute the points to see which does not satisfy the equation;

For the first point we substitute x=3 and f(x)=250

250= 2 \cdot \:  {5}^{3}  \:  \\ 250 = 2 \times 125 \\ 250 = 250

This is true.

For the second point (2,20), we put x=2 and y=20 to get:

20= 2 \cdot \:  {5}^{2}  \\ 20 = 2 \times 25 \\ 20 = 50

This is false, hence (2,20) does not lie on this curve.

For (1,10), we have:

10= 2 \cdot \:  {5}^{1}  \\ 10 = 10

This is also true

Finally for (2,50), we have;

50= 2 \cdot \:  {5}^{2}  \\ 50 = 2 \times 25 \\ 50 = 50

This is also true.

4 0
3 years ago
PLEASE ANSWER FAST!! Find the 29th term of this sequence:-121,-108,-95,-82...
Julli [10]

Answer:

The 29th term is

<h2>243</h2>

Step-by-step explanation:

The above sequence is an arithmetic sequence

For an nth term in an arithmetic sequence

U(n) = a + ( n - 1)d

where n is the number of terms

a is the first term

d is the common difference

From the question

a = - 121

d = -108 -- 121 = - 108 + 121 = 13

Since we are finding the 29th term

n = 29

The 29th term of the sequence is

U(29) = - 121 + ( 29 - 1) 13

= -121 + 28(13)

= -121 + 364

The final answer is

<h2>243</h2>

Hope this helps you

4 0
3 years ago
(03.05 MC)
vagabundo [1.1K]

Answer:

I can not answer for some reason

i am so so sorry i really was trying

Step-by-step explanation:

6 0
2 years ago
Evaluate 23x-1 for x = 1.<br> 1<br> 4<br> 7<br> 8
denis23 [38]
If x is 1, then 23x is 23, so we have 23-1=22 as the answer.
7 0
3 years ago
Read 2 more answers
What is the inverse of the function f(x) = x +3?
skelet666 [1.2K]
F(x) = x + 3
y = x + 3
x = y - 3

Inverse is h(x) = x - 3
7 0
3 years ago
Read 2 more answers
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