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mars1129 [50]
2 years ago
9

How many solutions does 4x + 2(x – 3) = 4x + 2x – 11 have?

Mathematics
2 answers:
Sphinxa [80]2 years ago
6 0

Answer:

4x + 2(x – 3) = 4x + 2x – 11

4x + 2x - 6 = 4x + 2x - 11

6x - 6 = 6x - 11

-6 = -11

There is no solution because -6 does NOT equal -11

Korolek [52]2 years ago
6 0

Answer:

0 solution

Step-by-step explanation:

4x + 2(x – 3) = 4x + 2x – 11

Solve the parentheses:

4x + 2x - 5 = 4x + 2x - 11

Subtract 2x from both sides:

4x - 5 = 4x - 11

From what you can already see that those two expressions does not equal to each other. Let’s continue solving to confirm:

(Subtract 4x on both sides)

-5 = -11

There are 0 solutions

~

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And help me with B C D
WARRIOR [948]
B has the equation -2 + 7 = -5
C has the equation -7 + 5 = -2
D has the equation 5 + (-7) = -2
3 0
3 years ago
The probability of winning a certain lottery is 1/77076 for people who play 908 times find the mean number of wins
Alex73 [517]

The mean is 0.0118 approximately. So option C is correct

<h3><u>Solution:</u></h3>

Given that , The probability of winning a certain lottery is \frac{1}{77076} for people who play 908 times

We have to find the mean number of wins

\text { The probability of winning a lottery }=\frac{1}{77076}

Assume that a procedure yields a binomial distribution with a trial repeated n times.

Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.

n=908, \text { probability } \mathrm{p}=\frac{1}{77076}

\text { Then, binomial mean }=n \times p

\begin{array}{l}{\mu=908 \times \frac{1}{77076}} \\\\ {\mu=\frac{908}{77076}} \\\\ {\mu=0.01178}\end{array}

Hence, the mean is 0.0118 approximately. So option C is correct.

4 0
3 years ago
Type the correct answer in each box
Luba_88 [7]

Answer:

We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.

We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :

1 - We first group terms with the same variable :

(x²+8x) + (y²+22y) + 37 = 0

2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)

(x²+8x) + (y²+22y) = - 37

3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.

x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²

y²+22y = (y²+22y+11²)-11² = (y+11)²-11²

4 - We plug the new values inside our equation :

(x+4)² - 4² + (y+22)² - 11² = -37

(x+4)² + (y+22)² = -37+4²+11²

(x+4)²+(y+22)² = 100

5 - We re-write in standard form :

(x-(-4)²)² + (y - (-22))² = 10²

And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)

5 0
3 years ago
Tim measures the length of four grasshoppers in his backyard: 5/4 cm, 7/4 cm, 9/4 cm, and 3/4 cm. What is the average length.​
katrin [286]

Answer:6

Step-by-step explanation: add up all the fractions. The answer will be 24/4. Divide 24/4 equals 6.

6 0
3 years ago
A sphere has a volume of 1,436 in3. What is its radius?
Gwar [14]

Answer:

do the reverse of pie r squared

Step-by-step explanation:

4 0
2 years ago
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