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AleksandrR [38]
3 years ago
15

Given f(x) = 3x- 1 and g(x) = 2x-3, for which value of x does g(x) = f(2)?

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
6 0

Answer: x = 4

Step-by-step explanation: f(2) = 3(2)-1 = 5. Meaning x needs to be a value that makes g(x) = 5. You can set them up equal to each other 5 = 2x-3 and solve. You end up getting x = 4.

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A company manager for a tire manufacturer is in charge of making sure there is the least amount of defective tires. If the tire
Anestetic [448]

Answer:

0.347% of the total tires will be rejected as underweight.

Step-by-step explanation:

For a standard normal distribution, (with mean 0 and standard deviation 1), the lower and upper quartiles are located at -0.67448 and +0.67448 respectively. Thus the interquartile range (IQR) is 1.34896.

And the manager decides to reject a tire as underweight if it falls more than 1.5 interquartile ranges below the lower quartile of the specified shipment of tires.

1.5 of the Interquartile range = 1.5 × 1.34896 = 2.02344

1.5 of the interquartile range below the lower quartile = (lower quartile) - (1.5 of Interquartile range) = -0.67448 - 2.02344 = -2.69792

The proportion of tires that will fall 1.5 of the interquartile range below the lower quartile = P(x < -2.69792) ≈ P(x < -2.70)

Using data from the normal distribution table

P(x < -2.70) = 0.00347 = 0.347% of the total tires will be rejected as underweight

Hope this Helps!!!

6 0
3 years ago
A teacher wrote the equation 3y + 12 = 6x on the board. For what value of b would the additional equation 2y = 4x + b form a sys
guajiro [1.7K]
3y + 12 = 6x
3y = 6x - 12
y = 2x - 4

2y = 4x + (-8)
y = 2x + (-4)....the same as y = 2x - 4

b would have to be a -8
3 0
3 years ago
Read 2 more answers
Necesito ayuda por fis​
svet-max [94.6K]

Answer:

pues que es en que necesitas ayuda

Step-by-step explanation:

dime namas comentame y te ayudo

3 0
2 years ago
Subtract 6x^2-5x+3 from (3x^2+8x-4)
Art [367]
3x^2 + 8x - 4 - (6x^2 - 5x + 3)....distribute thru the parenthesis
3x^2 + 8x - 4 - 6x^2 + 5x - 3 .....combine like terms
-3x^2 + 13x - 7 <==
8 0
3 years ago
Point P is the interior of LaTeX: \angle OZQ.\:∠ O Z Q .If LaTeX: m\:\angle\:OZQ\:m ∠ O Z Q= 125 and LaTeX: m\angle OZP\:m ∠ O Z
saw5 [17]

Answer:

<h2>∠PZQ = 63°</h2>

Step-by-step explanation:

If point P is the interior of ∠OZQ , then the mathematical operation is true;

∠OZP +  ∠PZQ =  ∠OZQ

Given parameters

∠OZQ = 125°

∠OZP = 62°

Required

∠PZQ

TO get  ∠PZQ, we will substitute the given parameters into the expression above as shown

∠OZP +  ∠PZQ =  ∠OZQ

62° +  ∠PZQ = 125°

subtract 62° from both sides

62° +  ∠PZQ - 62° = 125° - 62°

∠PZQ = 125° - 62°

∠PZQ = 63°

<em>Hence the value of ∠PZQ  is 63°</em>

6 0
2 years ago
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