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2 years ago

What is the sum of the polynomials?

Mathematics

2 answers:

Marizza181 [45]2 years ago

8 0

$- {x}^{2} + 9 - 3 {x}^{2} - 11x + 4 \\ = - 4 {x}^{2} - 11x + 13$

2nd answer

notka56 [123]2 years ago

4 0

Answer:

Option B. -4x² - 11x + 13

Step-by-step explanation:

Given polynomials are ( -x² + 9 ) and ( -3x² - 11x + 4 )

We have to add them.

( -x² + 9 ) + -3x² - 11x + 4 )

-x² + 9 - 3x² - 11x + 4

Now we will collect similar terms

( -x² - 3x² ) - 11x + ( 9 + 4 )

-4x² - 11x + 13

Therefore, option B is the answer.

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The scale of a map is 1 inch = 60 miles. Find the actual distance if the distance on the distance on the map is 3 1/2 inches.

laila [671]

Answer:

210 miles

Step-by-step explanation:

The scale is

1 in = 60 miles

Find the distance of equivalent to 3 1/2 in

3 1/2 * 60 miles =
3*60 + 1/2*60 miles =
180 + 30 miles =
210 miles

5 0

2 years ago

Can someone help me on this?

Tpy6a [65]

Answer:

11 $\frac{1}{4}$

Step-by-step explanation:

7 0

2 years ago

A cylinder with a 2 centimeter diameter is drilled through the triangular prism shown on the left find the volume of the prism

saw5 [17]

Answer:

The volume of a prism on its own = 248.5cm^3

The volume of a cylinder = 87.92cm^3

Step-by-step explanation:

The volume does not change for the prism as the hole was drilled.

We can show the drilled space with v(l) and (p) for prism V

v(l) 248.5p - 87.92p + 87.92p

= 248.5p

3 0

2 years ago

Funez, Lianet

Natasha2012 [34]

Answer:

Subtraction property of equality

Step-by-step explanation:

The subtraction property of equality refers to balancing an equation by using the same mathematical operation on both sides.

6 0

2 years ago

The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.5 per week. Find the probabili

Mariana [72]

Answer:

a) 0.01111

b) 0.4679

c) 0.33747

Step-by-step explanation:

We are given the following in the question:

The number of accidents per week can be treated as a Poisson distribution.

Mean number of accidents per week = 4.5

$\lambda= 4.5$

Formula:

$P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}$

a) No accidents occur in one week.

$P(x =0)\\\\= \displaystyle\frac{4.5^0 e^{-4.5}}{0!}= 0.01111$

b) 5 or more accidents occur in a week.

$P( x \geq 5) = 1-\displaystyle \sum P(x$

c) One accident occurs today.

The mean number of accidents per day is given by

$\lambda = \dfrac{4.5}{7} = 0.64$

$P(x =1)\\\\= \displaystyle\frac{0.64^1 e^{-0.64}}{1!}= 0.33747$

5 0

2 years ago