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user100 [1]
2 years ago
9

Which equation is equivalent to the given equation?

Mathematics
1 answer:
Neporo4naja [7]2 years ago
7 0

Answer: x² + 4x +3=0

Step-by-step explanation:

Add 4x to both sides.

You might be interested in
What is the 101st term in the sequence 852, 846, 840, … ?<br> 1452<br> 1458<br> 246<br> 252
baherus [9]

Answer:

A(101) = 252

Step-by-step explanation:

Utilize the equation A(n) = A1 + (n-1)d

  • n > the nth term
  • A1 > first term in sequence (852)
  • d > common difference (-6)

Plug in and simplify.

  1. A(n) = 852 + (n-1)(-6)
  2. A(n) = 852 - 6n + 6
  3. A(n) = - 6n + 858

Finally, plug in 101 for n.

  1. A(101) = - 6(101) + 858
  2. A(101) = - 606 + 858
  3. A(101) = 252
5 0
3 years ago
How would you evaluate 3(23) mentally?
lesya [120]
The answer is 69 3*23=69
7 0
3 years ago
Suppose that quiz scores in a beginning statistics class have a mean of 7.5 with a standard deviation of 0.4. Using Chebyshev's
vampirchik [111]

Chebyshev's theorem says that the probability that a random variable differs from its mean by some multiple of the standard deviation is bounded below as

P\left(|X - \mu| \le k\sigma\right) \ge \dfrac1{k^2}

Solve for <em>k</em> :

0.889 = \dfrac1{k^2} \implies k^2 = \dfrac1{0.889} \implies k = \dfrac1{\sqrt{0.889}}

Then the theorem says

P\left(|X - \mu| \le \dfrac{\sigma}{\sqrt{0.889}}\right) \ge 0.889

which is to say that 88.9% of the data will fall in the interval

|X - 7.5| \le \dfrac{0.4}{\sqrt{0.889}} \\\\ -\dfrac{0.4}{\sqrt{0.889}} \le X - 7.5 \le \dfrac{0.4}{\sqrt{0.889}} \\\\ \boxed{7.5 - \dfrac{0.4}{\sqrt{0.889}} \le X \le 7.5 + \dfrac{0.4}{\sqrt{0.889}}}

or roughly corresponding to scores between 7.076 and 7.924.

6 0
3 years ago
I NEED HELP WITH THE PROBLEM
dlinn [17]

Answer:

x = 10        m∠3 = 74

Step-by-step explanation:

(10x + 6) + (7x + 4) = 180 degrees

17x + 10 = 180

17x = 170

x = 10

check answer

(10(10) + 6) + (7(10) + 4) = 180

106 + 74 = 180

180 = 180

true!

angle 5 is vertical angles with 3, so they are congruent

use same equation as 5

7(10) + 4

70 + 4

74 :)

4 0
2 years ago
AABC with vertices A(- 2, 3), B(3, - 3) , and C(- 2, - 3) is shown below.
kicyunya [14]

Answer:

ab= 7.8

ac= 6

bc=5

Step-by-step explanation:

4 0
3 years ago
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