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3 years ago

Someone please help with this question for brainliest !!!!:)

Mathematics

1 answer:

N76 [4]3 years ago

8 0

Answer:

Step-by-step explanation:

the polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial x-r is equal to f(r). In particular, x-r is a divisor (that means a factor) of f(x), if and only if f(r)=0.

our r here is -1 to get x + 1.

f(-1) = 2×(-1)³ + 5×(-1)² - -1 - 6 = -2 + 5 + 1 - 6 = -2

the remainder is -2.

and since the remainder is <> 0, the binomial cannot be a factor.

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2 years ago

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3 years ago

A middle school has… 220 students in the 6th grade; 170 students in the 7th grade; and 100 students in the 8th The librarian wan

raketka [301]

Answer:

D. 45 sixth graders, 35 seventh graders, 20 eighth graders

Step-by-step explanation:

The question is missing the list of option. The option is:

A. 45 sixth graders, 45 seventh graders, 45 eighth graders

B. 20 sixth graders, 35 seventh graders, 45 eighth graders

C. 20 sixth graders, 20 seventh graders, 20 eighth graders

D. 45 sixth graders, 35 seventh graders, 20 eighth graders

If the librarian wants to survey a group that can represent the true data of the population, choosing the same number for each grade will not represent the population. The number of the sample should be spread similarly to the number of students each grade.

The ratio of students for 6th grade: 7th grade: 8th grade is 220: 170: 100. The 6th grade has highest number of students, followed by 7th grade and then 8th grade the lowest.

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3 0

3 years ago

Let TU be the directed line segment beginning at point T(4,4) and ending at point U(-11,13). Find the point P on the line segmen

worty [1.4K]

Answer:

P(-8.5, 11.5)

Step-by-step explanation:

From Exercise we have

T(4,4) ⇒ x_1=4, y_1=4

U(-11,13) ⇒ x_2=-11, y_2=13

TP:PU=5:1=a:b ⇒ a=5, b=1

P(x_p, y_p)=?

We have a formula

x_p=x_1+\frac{a}{a+b} · (x_2-x_1)

we get

x_p=4+\frac{5}{6} ·(-11-4)

x_p=4+\frac{5}{6} ·(-15)

x_p=4-75/6

x_p=-8.5

We have a formula

y_p=y_1+\frac{a}{a+b} · (y_2-y_1)

we get

y_p=4+\frac{5}{6} ·(13-4)

y_p=4+\frac{5}{6} ·(9)

y_p=4 + 45/6

y_p=11.5

Therefore, we get P(-8.5, 11.5).

We use the site geogebra.org for drawn the graph.

8 0

3 years ago

Solve. (K+1)(k-5)=0<br> Explin how to solve ???

Anna71 [15]

Alright remember, if any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
k+1=0
k-5=0
Set the first factor equal to 0 and solve
k=-1
Set the next factor equal to 0 and solve
k=5
The final solution is all the values that make (k+1)(k-5)=0 true.
k=-1, 5

Hope this helped you out :)

5 0

3 years ago

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