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xeze [42]
3 years ago
15

2x+4+x=8+2(3+x)-3 solve for x

Mathematics
2 answers:
LekaFEV [45]3 years ago
5 0

Answer:

<h2>x = 7</h2>

Step-by-step explanation:

2x+4+x=8+2(3+x)-3\\\\\text{for}\ 2(3+x)\ \text{use the distributive property}:\ a(b+c)=ab+ac\\\\2(3+x)=(2)(3)+(2)(x)=6+x\\\\2x+4+x=8+6+2x-3\\\\\text{combine like terms}\\\\(2x+x)+4=2x+(8+6-3)\\\\3x+4=2x+11\qquad\text{subtract 4 from both sidesi}\\\\3x+4-4=2x+11-4\\\\3x=2x+7\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\3x-2x=2x-2x+7\\\\x=7

Marizza181 [45]3 years ago
4 0

Answer:x=7

Step-by-step explanation:

Use BODMAS

Open bracket first

2x+4+x=8+2(3+x)-3

2x+4+x=8+6+2x-3

2×+x-2x=8+6-3-4

×=7

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The first discount on a camera was 18%. The second discount was 20%. After the two discounts the price became $328. What was the
Lelechka [254]

Answer:

500

Step-by-step explanation:

Let x be the original price

Take the first discount

x - 18 percent

x - .18x = new price

x( 1-.18)

x ( .82) = new price

Now we take a 20 percent discount

This is on the discounted price, use .82x

.82x - 20 percent= 2nd discounted price

.82x - .20(.82x)

.82x -.164x

.656x= 2nd discounted price

.656x = 328

Divide each side by.656

.656x/.656 = 328/.656

x =500

The original price was 500

6 0
3 years ago
Read 2 more answers
The top of an off shore oil rig has an elevation of 199.2 m and its base has an elevation of -9.6 m and observation deck is loca
matrenka [14]

Answer: 57.6m

Step-by-step explanation:

That's a lot of words that questions usually use to try to trip us up but not this time so lets pull all relevant information

199.2m= top of off shore oil rig

-9.6 m is the base of the rig

observation deck is 1/6 of the total height

helly pad is 22.8m above the observation deck

First lets try to find the total height of the rig. We can do this by adding the absolute value of the top and base of the oil rig. So 199.2 + 9.6 = 208.8m

So the total height is 208.8m now lets find the observation deck. We know the observaition is 1/6 of the total height which is 208.8m right so lets multiply. 1/6*208.8m= 34.8m

Now we know the observation deck is 34.8m high. Finally we can find the helly pad which is 22.8 m above the observation deck.

Since the observation deck is 34.8m and the helly pad is 22.8 above observation deck (34.8m) all we have to do is add so 22.8+34.8= 57.6m

So we know the total height is 208.8m

The observation deck is 34.8m

And the helly pad is 57.6m

7 0
3 years ago
1. Let f(x) = x + 3 and g(x) = 3x + 5. Find f(g(4)) - g(f(4)) 2. Let f(x) = 5x^2 - 5. What is f(f(x))? 3. Let f(g(x)) = 3x + 3 a
ludmilkaskok [199]

Answer:

1. f(g(4)) - g(f(4)) = -6

2. f(f(x)) = 125x^4 - 250x^2 + 120

3. a + b = 0

4. g(4) = -9

Step-by-step explanation:

1.

First we need to find f(4) and g(4):

f(4) = 4 + 3 = 7

g(4) = 3*4 + 5 = 17

Then, we find g(f(4)) = g(7):

g(7) = 3*7 + 5 = 26

And we find f(g(4)) = f(17):

f(17) = 17 + 3 = 20

so f(g(4)) - g(f(4)) = 20 - 26 = -6

2.

To find f(f(x)), we use the value of f(x) for every x in f(x):

f(f(x)) = 5*(f(x))^2 - 5 = 5*(5x^2 - 5)^2 - 5 = 5*(25x^4 - 50x^2 + 25) - 5

f(f(x)) = 125x^4 - 250x^2 + 120

3.

To find f(g(x)), we use the value of g(x) for every x in f(x):

f(g(x)) = g(x) + 6 = ax + b + 6 = 3x + 3

ax + (b+6) = 3x + 3 -> a = 3 and b = -3

a + b = 3 - 3 = 0

4.

If we assume g(x) = ax + b, we have:

g(f(x)) = a*(2x - 3) + b = 2ax - 3a + b = 5 - 4x

2a = -4 -> a = -2

-3a + b = 5

6 + b = 5 -> b = -1

g(x) = -2x - 1

g(4) = -2*4 - 1 = -9

7 0
3 years ago
Can someone please help me with this problem? I tried inputting the numbers into the standard deviation equation but I did not g
Juliette [100K]

Answer:

97.8

Step-by-step explanation:

add together 97.3 +0.5

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2 years ago
Greatest common factor of 48,120
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Hello. &#10;&#10;Let's figure this out.&#10;&#10;I'll list all the factors to help us answer your question. &#10;&#10;48: 1&#10;2&#10;3&#10;4&#10;6&#10;8&#10;12&#10;16&#10;24&#10;48&#10;&#10;120: 1&#10;2&#10;3&#10;4&#10;5&#10;6&#10;8&#10;10&#10;12&#10;15&#10;20&#10;24&#10;30&#10;40&#10;60&#10;120 &#10;&#10;We can see that the GREATEST common factor (GCF) between&#10;&#10;49 and 120 is: 24&#10;&#10;You're welcome.
5 0
3 years ago
Read 2 more answers
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