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2 years ago

Is x-2 a factor of f(x)=6x^2-7x-5

Mathematics

1 answer:

Paha777 [63]2 years ago

7 0

Answer:

its not

Step-by-step explanation:

if you do the division euclidiene the rest will be 5 not zero

f(x)=(x-2)(6x+5)+5

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The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket (Bureau of Transportation St

saveliy_v [14]

Answer:

a)0.067

b)0.111

c)0.612

d)$687.28

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $385

Standard Deviation, σ = $110

We are given that the distribution of domestic airfares is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(domestic airfare is $550 or more)

P(x > 550)

$P( x > 550) = P( z > \displaystyle\frac{550 - 385}{110}) = P(z > 1.5)$

$= 1 - P(z \leq 1.5)$

Calculation the value from standard normal z table, we have,

$P(x > 550) = 1 - 0.933 = 0.067= 6.7\%$

b) P(domestic airfare is $250 or less)

$P(x \leq 250) = P(z \leq \displaystyle\frac{250-385}{110}) = P(z \leq -1.22)$

Calculating the value from the standard normal table we have,

$P( x \leq 250) = 0.111 = 11.1\%$

c))P(domestic airfare is between $300 and $500)

$P(300 \leq x \leq 500) = P(\displaystyle\frac{300 - 385}{110} \leq z \leq \displaystyle\frac{500-385}{110}) = P(-0.77 \leq z \leq 1.04)\\\\= P(z \leq 1.04) - P(z < -0.77)\\= 0.851 - 0.239 = 0.612 = 61.2\%$

$P(300 \leq x \leq 500) = 61.2\%$

d) P(X=x) = 0.03

We have to find the value of x such that the probability is 0.03.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 385}{110})=0.03$

$= 1 -P( z \leq \displaystyle\frac{x - 385}{110})=0.03$

$=P( z \leq \displaystyle\frac{x - 385}{110})=0.997$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 385}{110} = 2.748\\x = 687.28$

Hence, the domestic fares must be $687.28 or greater for them to lie in the highest 3%.

7 0

3 years ago

Find the slope of a line parallel to the line whose equation is 3Y- 5x =15

Vanyuwa [196]

Answer:

The slope is 5/3

Step-by-step explanation:

3y-5x=15 turned into a slope intercept form is y=5/3x+5.

5/3 is the slope part of this equation.

4 0

2 years ago

Monique is factoring the expression 4 x + 16 x y. Her work is shown below. Factors of 4x: 1, 2, 4, x Factors of 16xy: 1, 2, 4, 8

Anika [276]

Answer:

Monique made an error when writing the factored expression.

Correct factored

expression=4x(1+4y)

Step-by-step explanation:

factoring the expression 4 x + 16 x y.

Factors of 4x: 1, 2, 4, x

Factors of 16xy: 1, 2, 4, 8, 16, x, y

GCF: 4x

Factored expression: 4 x (0 + 4 y)

Monique made an error when writing the factored expression.

The correct factored expression should be:

4x+16xy

=4x(1+4y)

Contrary to 4x(0+4y)

Correct factored

expression=4x(1+4y)

4 0

2 years ago

Read 2 more answers

Question 10 pls help

Ivenika [448]

Answer:

Step-by-step explanation:

3 0

3 years ago

The low temperature was 35 Degrees Fahrenheit. This was 13°F lower than the day time high temperature right in equation the dete

Alex Ar [27]

Answer:

48 hope this helped

Step-by-step explanation:

6 0

3 years ago

Is x-2 a factor of f(x)=6x^2-7x-5​

Is x-2 a factor of f(x)=6x^2-7x-5