Please answer both questions

(Will give brainliest to the most explained answer!) Can someone explain how to factor Polynomials. Please explain it like you’r

pav-90 [236]

Step-by-step explanation:

Find the Greatest Common Factor (GCF) of a polynomial.

Factor out the GCF of a polynomial.

Factor a polynomial with four terms by grouping.

Factor a trinomial of the form .

Indicate if a polynomial is a prime polynomial.

Factor a perfect square trinomial.

Factor a difference of squares.

Factor a sum or difference of cubes.

Apply the factoring strategy to factor a polynomial completely

6 0

4 years ago

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A rocket is shot straight into the air at an initial velocity of 70 feet/second.

DanielleElmas [232]

Answer: 245 feet

Step-by-step explanation:

Given: The height of the rocket after t seconds is represented by the formula:

$h=70t-5t^2$

$\dfrac{dh}{dt}=70-10t$ [Differentiate both sides w.r.t. t]

Put

$\dfrac{dh}{dt}=0\\\\\Rightarrow\ 70-10t=0\\\\\Rightarrow\ t=\dfrac{70}{10}=7$

Also, $\dfrac{d^2h}{dt^2}=-10$ i.e. height is maximum at t=7.

Maximum height = $h=70(7)-5(7)^2 = 490 - 245= 245\text{ feet}$

Hence, the maximum height the rocket reaches = 245 feet.

3 0

3 years ago

At a school with 100 students, 40 students are taking Arabic, 35 Bulgarian, and 25

Ad libitum [116K]

A no students are taking all 3 languages
B 41 students are taking no language sorry if I’m wrong have a great day

4 0

3 years ago

In , there were immigrants admitted to a country. In 1960, the number was . a. Assuming that the change in immigration is lin

Arisa [49]

Answer:

The answer is below

Step-by-step explanation:

The complete question is:

In 1960, there were 237,794 immigrants admitted to a country. In 2001, the number was 1,150,729.

a. Assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900.

b. Use your result in part a to predict the number of immigrants admitted to the country in 2013.

c. Considering the value of the y-intercept in your answer to part a, discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century.

Answer:

a) From the question, we can get two ordered pairs which are $(t_1,y_1)=(60,237794)\ and\ (t_2,y_2)=(101,1150729)$

Using the equation of a line given two points:

$y-y_1=\frac{y_2-y_1}{t_2-t_1}(t-t_1)\\ \\y-237794=\frac{1150729-237794}{101-60}( t-60)\\\\y-237797=22266.71(t-60)\\\\y=22266.71t-1098205.44$

b) In 2013, t = 2013 - 1900 = 113.

Hence:

$y=22266.71t-1098205.44\\\\y=22266.71(113)-1098205.44\\\\y=1417932.488\\\\y=1417933$

c)

$y=22266.71t-1098205.44\\\\the\ y\ intercept\ is\ at\ t=0,hence:\\\\y=22266.71(0)-1098205.44\\\\y=-1098205.44$

Since the y intercept is negative, that is in 1900 the number of immigrants was -1098206 which can not be possible. Hence this equation is not valid and the growth may or may not be linear.

7 0

4 years ago

Solve the simultaneous linear equation 2x+5y=11, 7x+4y=2

Andrews [41]

Answer:

x = - $\frac{34}{27}$ and y = $\frac{73}{27}$

Step-by-step explanation:

2x + 5y = 11

7x + 4y = 2

Let's try elimination here since we have a system of equations:

-7(2x + 5y = 11) = -14x - 35y = -77

and

2(7x + 4y = 2) = 14x + 8y = 4

The x's cancel out now so let's combine the two equations:

-35 + 8 = -27

-77 + 4 = -73

-27y = -73

y = $\frac{73}{27}$

Now that we have y's value, let's plug that value in for y in the other equation. You may choose whichever equation you want to solve for x but it is recommended to use the easiest one. (Since this value is complicated, it won't really matter.)

2x + 5( $\frac{73}{27}$ ) = 11

2x + $\frac{365}{27}$ = 11

2x = - $\frac{68}{27}$

x = - $\frac{34}{27}$

To check and make sure you have the correct values, plug both values into the orginal equation and make sure the equation is true.

5 0

3 years ago

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