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3 years ago

Complete the square

Mathematics

1 answer:

Shkiper50 [21]3 years ago

6 0

$2x^{2}+4x-12=2(x+1)^{2}-14$

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Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant. Ten percent of all plant e

Alex17521 [72]

Answer: 0.23

Step-by-step explanation:

Given : F is the event "works in the finishing department;"

and A is the event "is absent excessively."

Given : 10% of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively.

i.e. P(A)= 0.20 ; P(F)=0.10 ; P(A ∩ F) = 0.07

We know that $P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)$

Then,

$P(A\cup F)=P(A)+P(F)-P(A\cap F)\\\\\Rightarrow\ P(A\cup F)=0.20+0.10-0.07=0.23$

Hence, the required answer is $P(A\cup F)=0.23$

5 0

3 years ago

Solve the given equation by completing the square.

Dmitriy789 [7]

Answer:

a = -4, b = 3 and c = 6 (OR)

a = -4, b = -3 and c = 6

Step-by-step explanation:

$x^{2} +8x = 38$

Add 16 to both sides.

$x^{2} +8x+16 = 38 + 16$

$(x+4)^{2} =54$

$x + 4 = \sqrt{54}$ or $x + 4 = -\sqrt{54}$

$x+4=3\sqrt{6}$ or $x+4=-3\sqrt{6}$

$x=-4+3\sqrt{6}$ or $x=-4-3\sqrt{6}$

Therefore, a = -4, b = 3 and c = 6 (OR)

a = -4, b = -3 and c = 6

6 0

3 years ago

Read 2 more answers

Help find the domain pls i’ll rate beainliest

kvv77 [185]

Answer: D (-∞, ³⁄₂)

1. Find non - negative values for radicals. x ≤ ³⁄₂

2. Find undefined (singularity) points. x = ³⁄₂

3. Combine real regions and undefined points for final domain.

Final answer: x < ³⁄₂

6 0

2 years ago

Calculate the sales tax:<br> 10% of 25.75

ivanzaharov [21]

Answer: 103/40, or 2 23/40 or, 2.575

Step-by-step explanation:

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2 years ago

What is the shaped called that looks like a rectangle with sides of a triangle (has 6 sides)

Oxana [17]

Its called a hexagon.

6 0

2 years ago