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4 years ago

11

The solution to #68 and #70

1 answer:

atroni [7]4 years ago

8 0

The trick is to write appropriate equations and then solve the system of equations you've created.

"sum of two numbers is -5:" x + y = -5

"difference is -1:" x-y = -1

Add these two equations together. This will cause y to drop out, and you will be left with an equation in x alone:

2x = - 6, so x = -3. Subst. -3 for x in either equation, above, and find the corresponding y value.

Then write your solution as (-3, y ) (write in your value for y).

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What are the first three terms of a geometric sequence in which as = 25 and the common ratio is 5?

marin [14]

Answer:

The first three terms are: 25, 125 and 625

Step-by-step explanation:

Given

$a =25; r = 5$

Required

The first three terms

The nth term of a geometry progression is:

$T_n =ar^{n-1$

So, we have:

First term: $n = 1$

$T_n =ar^{n-1$

$T_1 =25 * 5^{1-1$

$T_1 =25 * 5^0$

$T_1 =25 * 1$

$T_1 =25$

Second term: $n = 2$

$T_n =ar^{n-1$

$T_2 =25 * 5^{2-1$

$T_2 =25 * 5^{1$

$T_2 =25 * 5$

$T_2 =125$

Third term: $n = 3$

$T_n =ar^{n-1$

$T_3 =25 * 5^{3-1$

$T_3 =25 * 5^{2$

$T_3 =25 * 25$

$T_3 =625$

7 0

3 years ago

Simplify.<br> (2 x 108) + (4 * 103)<br> Give the answer in scientific notation

lions [1.4K]

Answer:

628

Step-by-step explanation:

216+412 = 628

First you get rid of the brackets by solving what's in them. Then you just add up the numbers and BOOM. The equation is solved. :-)

6 0

3 years ago

A scuba diver at a depth of -12ft(12 ft below sea level),dives down to a coral reef that is 3.5 times the divers original depth.

svet-max [94.6K]

-42ft below sea level

3 0

4 years ago

Which expression uses numbers and symbols to represent the statement subtract 6 from 11 ,double the difference, and then add thr

emmainna [20.7K]

Answer:

sorry if I knew I would have told you but follow me

4 0

3 years ago

44-17<img src="https://tex.z-dn.net/?f=44-17" id="TexFormula1" title="44-17" alt="44-17" align="absmiddle" class="latex-formula"

baherus [9]

The difference between the given values as a whole number is 27

<h3>Finding the difference between values</h3>

To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value.

Given the following expression

44 - 17

This can also be expressed as

44 = 40 + 4

17 = 10 + 7

Substitute

44 - 17 = (40 + 4) - (10+ 7)

Expand

44 - 17 = 40 + 4 -10 - 7

44 - 17 = 40 - 10 + 4 - 7

44 - 17 = 30 - 3

44 - 17 = 27

Hence the difference between the given values as a whole number is 27

Learn more on difference here: brainly.com/question/17695139

#SPJ1

8 0

2 years ago