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3 years ago

For the following system, use the second equation to make a substitution for y in the first equation. 2x + y = 5 y + 3 = 2x

2 answers:

7 0

For the second equation, y=2x-3. Substituting this in, you get 2x+2x-3=5. Add the 2x's (4x), and add 3 to the 5 (8). You should get 4x=8, which will give you x=2.

Alla [95]3 years ago

6 0

If y equals 2x - 3 in the second equation, than subsitute it in for y in the first.
2x + 2x - 3 = 5
4x - 3 = 5
4x = 8
x=2
2(2) + y = 5
x = 2 and y = 1

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Write the standard equation for the circle.

Kay [80]

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.. (x -h)^2 +(y -k)^2 = r^2

1. selection D matches the specification of the circle

2. selection A matches the given equation

3. None of the offered selections matches
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4. selection A matches the requirements

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3 years ago

Colin invest in £5000 into his bank account. He receives 10% per year simple interest. How much will Colin have after 3 years?

pav-90 [236]

Answer:

£6655

Step-by-step explanation:

Given data

Principal= £5000

Rate= 10%

Time = 3 years

FInal Amount A=???

The expression for the compound interest is given as

A=P(1+r)^t

substitute

A=5000(1+0.1)^3

A=5000(1.1)^3

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Hence the final Amount is £6655

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3 years ago

FIND THE VALUEOF THE VARIBLE AND FILL THE BLANK.

ludmilkaskok [199]

Answer:

f = 2

g = 8

h = -9

k = 40

m = 1

Step-by-step explanation:

Equation 1:

23f - 17 = 29

Add 17 to both sides. This undoes the -17.

23f = 29 + 17

Add 17 to 29 to get 46.

23f = 46

Divide both sides by 23. This undoes the multiplication by 23.

f = 46/23

Divide 46 by 23 to get 2.

f = 2

Equation 2:

2(3g + 4) = 56

Divide both sides by 2. This undoes the multiplication by 2.

3g + 4 = 56/2

Divide 56 by 2 to get 28.

3g + 4 = 28

Subtract 4 from both sides. This undoes the +4.

3g = 28 - 4

Subtract 4 from 28 to get 24.

3g = 24

Divide both sides by 3. This undoes the multiplication by 3.

g = 24/3

Divide 24 by 3 to get 8.

g = 8

Equation 3:

h + 9 = 0

Subtract 9 from both sides. This undoes the +9.

h = 0 - 9

Any number subtracted from 0 gives its negation.

h = -9

Equation 4

3(k - 8) = 96

Divide both sides by 3. This undoes the multiplication by 3.

k - 8 = 96/3

Divide 96 by 3 to get 32.

k - 8 = 32

Add 8 to both sides. This undoes the -8.

k = 32 + 8

Add 8 to 32 to get 40.

k = 40

Equation 5:

5m - 5 = 0

Add 5 to both sides. This undoes the -5

5m = 0 + 5

Anything plus 0 gives itself.

5m = 5

Divide both sides by 5. This undoes the multiplication by 5

m = 5/5

Anything divided by itself gives you 1.

m = 1

4 0

3 years ago

0.2.0.4, 0.6, 0.8, 1.... Arithmetic or geometric

Basile [38]

Arithmetic sequences have a common difference between consecutive terms.

Geometric sequences have a common ratio between consecutive terms.

Let's compute the differences and ratios between consecutive terms:

Differences:

$0.4-0.2 = 0.2,\quad 0.6-0.4=0.2,\quad 0.8-0.6=0.2,\quad 1-0.8=0.2$

Ratios:

$\dfrac{0.4}{0.2}=2,\quad \dfrac{0.6}{0.4} = 1.5,\quad \dfrac{0.8}{0.6} = 1.33\ldots, \quad\dfrac{1}{0.8}=1.25$

So, as you can see, the differences between consecutive terms are constant, whereas ratios vary.

So, this is an arithmetic sequence.

3 0

3 years ago

4(1-2b)+7b-10

likoan [24]

Answer:

if you're simplifying, it should be = -1b - 6

Step-by-step explanation:

1. 4(1-2b) + 7b -10 solve the parenthesis

2. 4 - 8b + 7b - 10 combine like(same) terms

3. 4 - 1b - 10 same as 2.

4. -1b - 6

5 0

3 years ago