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Viktor [21]
3 years ago
8

Is (x + 7) a factor of f(x) = x3 − 3x2 + 2x − 8? Use either the remainder theorem or the factor theorem to explain your reasonin

g
Mathematics
1 answer:
guajiro [1.7K]3 years ago
4 0

Step-by-step explanation:

If x + 7 is a factor of f(x), then f(-7) = 0.

f(-7) = (-7)³ − 3(-7)² + 2(-7) − 8

f(-7) = -343 − 147 − 14 − 8

f(-7) = -512

x + 7 is not a factor of f(x).

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Answer:

B

Step-by-step explanation:

3 ( w + 9 )

3 × w + 3 × 9

<u><em>3w + 27</em></u>

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5 0
3 years ago
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At the beginning of the month, Sheryl had a balance of $120 in her checking account. She then made a purchase for $80, using her
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$80

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2 years ago
One package of socks cost $7. How many packages can you but with $56?
Akimi4 [234]

Step-by-step explanation:

$7 = 1 package socks

%56 = ??

$56/$7 × 1 package socks

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4 0
3 years ago
The diagonal length of a rectangle is 25 inches, and the length of the rectangle is 9 inches.
diamong [38]

Answer:

Option C is the right answer.

Step-by-step explanation:

Given that:

Length of diagonal = 25 inches

Length of rectangle = 9 inches

Width of rectangle will be one of the two legs of right angled triangle and the diagonal will be the hypotenuse.

Using Pythagorean theorem;

a^2+b^2=c^2\\(9)^2+w^2=(25)^2\\81 + w^2 = 625 \\w^2 = 625-81\\w^2 = 544

Taking square root;

\sqrt{w^2}=\sqrt{544}\\w=23.3

Therefore,

Option C is the right answer.

3 0
3 years ago
4) During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play
ioda

$225 was earned from the craft sales

and $40 was earned from the play.

Given, During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions.

Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.

Let the amount earned by play be x,

Now, Games earned = 0.15×500 = $75

Also, crafts earned 3×75 = $225

Now, as play earned x, then food earned 4x.

According to question,

x + 75 + 225 + 4x = 500

5x + 300 = 500

5x = 200

x = 40

So, the amount earned by Play be, $40

and the amount earned by Food be $160.

Hence, $225 was earned from the craft sales

and $40 was earned from the play.

Learn more about Linear Equations here brainly.com/question/24085666

#SPJ1

5 0
1 year ago
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