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2 years ago

Solve: √2z+3 = - z. If there are multiple solutions, list them separated by a comma, e.g., 1, 2. If there is no solution,

Mathematics

2 answers:

Ray Of Light [21]2 years ago

5 0

Answer:

Step-by-step explanation:

$\sqrt{2z}$ + 3 = -z

$\sqrt{2z}$ = -z - 3

Square both sides , we have

2z = $(-z-3)^{2}$

2z = $z^{2}$ + 6z + 9

re arranging the equation , we have

$z^{2}$ + 6z - 2z + 9 = 0

$z^{2}$ + 4z + 9 = 0

This will give a complex roots , solving by quadratic formula

z = -2 + $\sqrt{5}$ i , -2 - $\sqrt{5}$ i

laila [671]2 years ago

4 0

Answer:

If you mean √2z + 3 = -z, the answer is ∅

If you mean √2 z + 3 = -z

√2 z + 3 = -z

√2 z = -z - 3

√2 z + z = - 3

z(√2 + 1) = -3

z = -3 / (√2 + 1)

z = -3 (√2 - 1)

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Write the slope-intercept form of the equation of the line that is perpendicular to AB and passes through Point X. Show all work

aleksandr82 [10.1K]

Answer:

Equation of line is y=(12/5)x+2

Step-by-step explanation:

The slope of line AB is -5/12. The line passing X is perpendicular to line AB and hence have a slope of 12/5. The slope intercept form is given by y=mx+c.

Now, point X satisfies the equation. Plugging in the slope of the line we end up with

y=(12/5)*x+c, now to find c

-10=(12/5)*(-5)+c, c=2

Equation of line is y=(12/5)x+2

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3 years ago

A researcher was testing the number of popcorn kernels that popped out of a mini bag of 100 kernels after being cooked for the s

Lelechka [254]

Answer:

The percentage of the bag that should have popped 96 kernels or more is 2.1%.

Step-by-step explanation:

The random variable X can be defined as the number of popcorn kernels that popped out of a mini bag.

The mean is, μ = 72 and the standard deviation is, σ = 12.

Assume that the population of the number of popcorn kernels that popped out of a mini bag follows a Normal distribution.

Compute the probability that a bag popped 96 kernels or more as follows:

Apply continuity correction:

$P( X\geq 96)=P( X>96+0.50)$

$=P( X>96.50)\\=P(\frac{X-\mu}{\sigma}>\frac{96.50-72}{12})\\=P(Z>2.04)\\=1-P(Z$

*Use a z-table.

The probability that a bag popped 96 kernels or more is 0.021.

The percentage is, 0.021 × 100 = 2.1%.

Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.

3 0

3 years ago

Question #2 <img src="https://tex.z-dn.net/?f=5x%2B9%5Cleq%204" id="TexFormula1" title="5x+9\leq 4" alt="5x+9\leq 4" align="absm

shutvik [7]

X is less than or equal to -1

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3 years ago

Lowest common multiple of 4 and 10

atroni [7]

Answer: 20

Step-by-step explanation:

2^2=4

5*2=10

2^2 and 5 would be multiplied

8 0

2 years ago

Read 2 more answers

Alonzo and Miguel scored a total of 54 points in a basketball game. Miguel scored 4 more points than Alonzo. How would I graph t

Liono4ka [1.6K]

A + m = 54, m = a + 4 and, a + m = 54, - a + m = 4,

Combine the equations: 2m = 58

Now solve: 2m = 58, 2m/2 = 58/2, m = 29, therefore a = 24

4 0

2 years ago