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Zarrin [17]
3 years ago
12

2^(x+2)=2048Solving for x​

Mathematics
1 answer:
svetoff [14.1K]3 years ago
4 0

x=9 Hope this helps!!

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If there are 16 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
kondor19780726 [428]
These are all of the possible ratios:

- 1:3
- 8:24
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Please vote my answer brainliest. thanks!
5 0
3 years ago
A string is 7 yards long. Jeff needs 2 feet and Lori needs 15 feet of string. If they both cut their string, how much is left?
Aleksandr [31]
1\ yard=3\ feet\\\\7\ yard=3\cdot7=21\ feet\\\\21-2-15=4\\\\There\ are\ 4\ feet\ left
5 0
3 years ago
PLEASE HELP QUICK!! WILL OFFER 100 POINTS TO THE FIRST ONE THAT ANSWERS
Reil [10]

Given

x+1 = \sqrt{7x+15}

We have to set the restraint

x+1\geq 0 \iff x \geq -1

because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:

(x+1)^2=7x+15 \iff x^2+2x+1=7x+15 \iff x^2-5x-14 = 0

The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.

Similarly, we have

x-3 = \sqrt{x-1}+4 \iff x-7=\sqrt{x-1}

So, we have to impose

x-7\geq 0 \iff x \geq 7

Squaring both sides, we have

(x-7)^2=x-1 \iff x^2-14x+49=x-1 \iff x^2-15x+50 = 0

The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.

7 0
3 years ago
(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9 Determine if Louise’s answer is correct. Explain.
MrMuchimi

Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.

3 0
3 years ago
Perform the multiplication. if possible reduce the answer to lowset terms<br> {2 5/8} {10 2/3}
Alex777 [14]
Make each into improper fraction
2 x 8 + 5. = 21 / 8
3(10) + 2 = 32/3
21/8(32/3) = ((21x32)/(8x3) reduce by 3/3
(7x32)/(8) reduce by 8/8
7x4 = 28
7 0
3 years ago
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