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3 years ago

Is (x + 7) a factor of f(x) = x3 − 3x2 + 2x − 8

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

8 0

Answer:

Step-by-step explanation:

If (x + h) is a factor of f(x) then f(- h) = 0

Thus if (x + 7) is a factor of f(x) then f(- 7) = 0

f(- 7) = (- 7)³ - 3(- 7)² + 2(- 7) - 8

= - 343 - 147 - 14 - 8 = - 512 ≠ 0

Since f(- 7) ≠ 0 then (x + 7) is not a factor of f(x)

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Marcus bought he used 50% on tickets on rides and 1/4 of the tickets on video games and the rest of the tickets in the batting c

GalinKa [24]

Answer:

Therefore Marcus is incorrect.

Step-by-step explanation:

Total ticket that Marcus bought= 100%.

Marcus used 50% of ticket on rides.

and he used $\frac{1}{4}$ of the tickets on the video games.

The percentage form of any number x is

$=100\times x \%$

The percentage form of $\frac{1}{4}$ is

$=\frac{1\times 100}{4} \%$

=25%

Therefore rest tickets are

=Total ticket-( ticket used in rides + ticket used in video games)

=100% - (50%+25%)

=100% - 75%

=25%

Therefore he used 25% of tickets in batting cage.

But he said that Marcus said that he used 24% of ticket in batting cage.

Therefore Marcus is incorrect.

8 0

3 years ago

Find the probability that in a pig family of 4 offspring there will be at least 1 male and 1 female. Assume that the probability

Naya [18.7K]

The probability of there being zero males is given by:
$P(zero\ males)=4C0\times0.5^{0}\times0.5^{4}=\frac{1}{16}$
Similarly the probability of there being zero females is also 1/16.
The probability there will be at least 1 male and 1 female is therefore:
$1-(\frac{1}{16}+\frac{1}{16})=\frac{7}{8}$
The answer is: 7/8.

5 0

3 years ago

Our of the four runners: Alex, Ben, Curtis, and Dan, the oldest came in second place. Alex ran the distance faster than Curtis,

Alexus [3.1K]

Considering the situation described, the classification of the runners is given as follows:

Dan - Ben - Alex - Curtis.

<h3>What is the classification of the runners?</h3>

The oldest came in second place. Ben is older than Alex, and Curtis is older than Dan, hence either Ben or Curtis finished second.

Alex ran the distance faster than Curtis, and Dan ran faster than Ben and Curtis, hence considering the above observation Ben finished second and the classification is:

Dan - Ben - Alex - Curtis.

A similar problem, in which a situation is interpreted, is given at brainly.com/question/5660603

#SPJ1

5 0

2 years ago

Put these points into an equation IN STANDARD FORM!!!!!!<br><br>(0,2) and (8,0)

zubka84 [21]

The equation of the line in standard form is x + 4y = 8

<h3>How to determine the line equation?</h3>

From the question, the points are given as

(0, 2) and (8, 0)

To start with, we must calculate the slope of the line

This is calculated using

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (0, 2) and (8, 0)

Substitute the known parameters in Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

Slope = (0 - 2)/(8 - 0)

Evaluate

Slope = -1/4

The equation of the line can be calculated using as

y - y₁ = m(x + x₁)

Where

(x₁, y₁) = (0, 2)

and

m = slope = -1/4

Substitute the known values in the above equation

So, we have the following equation

y - 2 = -1/4(x - 0)

This gives

y - 2 = -1/4x

Rewrite as

1/4x + y = 2

Multiply by 4

x + 4y = 8

Hence, the line has an equation of x + 4y = 8