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gulaghasi [49]
3 years ago
13

What is the solution to the equation -4(2x + 3) = 2x + 6 - (8x + 2)?

Mathematics
1 answer:
MrRa [10]3 years ago
4 0

Answer:

B. x = -8

Step-by-step explanation:

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

-8x -12 = 2x + 6 - 8x -2

(now, "-8" in both terms is cancelled):

-12 = 2x + 6 - 2

(leave 2x alone in second term):

-12 -6 +2 = 2x

-16 = 2x

-16/2 = x

-8 = x

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Find the value of the missing coefficient in the factored form of 27f^3 + 125g^3. 27f^3+125g^3=(3f+5g)(9f^2-?fg + 25g)^2
7nadin3 [17]

Answer:

15

Step-by-step explanation:

The formula for factoring a sum of cubes is:

a^3+b^3=(a+b)(a^2-ab+b^2)

We have a=3f and b=5g here.

So a*b in this case is 3f*5g=15fg.

The ? is 15.

6 0
3 years ago
Help please it’s due in 20 minutes
blagie [28]

Answer:

X = 34 (by Pythagoras theorem)

STEP BY STEP:

(30) ^2 +(16)^2 =1156

Root 1156 =34

I hope it helps :))

4 0
2 years ago
I need help asappppppppppppp
svetoff [14.1K]

Answer: Choice [D] - "power of a power" ✅

Step-by-step explanation:

Hii, do you need to know which law you should use to simplify \sf\bigg(x^4\bigg)^9?

No problem!

The law we will use here is "power of a power".

What "power of powers" means is we raise a power to a power, which is exactly what we do here: We raise x^4 to the power of 9. To simplify our expression, we multiply the powers. (\boldsymbol{4\cdot9})

So the right answer is: Choice [D] - "Power of a power"

The simplified answer is \LARGE\boldsymbol{x^{4\cdot9}=x^{36}}

Voila! There's our answer, cheers!

--

Hope that this helped! Best wishes.

\it Reach\;far.\;Aim\;high.\;Dream\;big.}

--

7 0
2 years ago
What is the height in meters of a person who is 6 ft 1.0 in. tall? (assume that 1 meter equals 39.37 in.)?
Romashka [77]
1 foot = 12 inch so 6 feet = 6*12 inch
6 feet = 72 inch

The height of the person in inch is = 72+1 = 73 inch

1 meter.............39.37 in
x meters.......... 73 in

x = 73/39.37 = 1.85 meters
8 0
4 years ago
Imagine a pond. In it sits one lilypad, which reproduces once a day. Each of its offspring also reproduces once a day, doubling
sergeinik [125]

Answer: On the 29th day

Step-by-step explanation:

According to this problem, no lilypad dies and the lilypads always reproduce, so we can apply the following reasoning.

On the first day there is only 1 lilypad in the pond. On the second day, the lilypad from the first reproduces, so there are 2 lilypads. On day 3, the 2 lilypads from the second day reproduce, so there are 2×2=4 lilypads. Similarly, on day 4 there are 8 lilypads. Following this pattern, on day 30 there are 2×N lilypads, where N is the number of lilypads on day 29.

The pond is full on the 30th day, when there are 2×N lilypads, so it is half-full when it has N lilypads, that is, on the 29th day. Actually, there are 2^{30} lilypads on the 30th, and 2^{29} lilypads on the 29th. This can be deduced multiplying succesively by 2.  

4 0
3 years ago
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