MATHEMATICS HIGH SCHOOL

Factor the polynomial t2+8t

Answers

Answer 1

Answer:

Answer: The required factored form of the given polynomial is $t(t+8).$

Step-by-step explanation: We are given to factorize the following quadratic polynomial :

$P=t^2+8t~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following property :

$ab+ac=a(b+c).$

From expression (i), we get

$P\n\n=t^2+8t\n\n=t(t+8).$

Thus, the required factored form of the given polynomial is $t(t+8).$

Answer 2

Answer: Two solutions were found : t = 8 t = 0

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "t2" was replaced by "t^2".

Step by step solution :Skip Ad
Step 1 :Step 2 :Pulling out like terms :

2.1 Pull out like factors :

t2 - 8t = t • (t - 8)

Equation at the end of step 2 : t • (t - 8) = 0Step 3 :Theory - Roots of a product :

3.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

3.2 Solve : t = 0

Solution is t = 0

Solving a Single Variable Equation :

3.3      Solve  :    t-8 = 0

Add  8 to both sides of the equation :
                      t = 8

Two solutions were found : t = 8 t = 0

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Use the subway train schedule below to answer the question. Train ScheduleTrainArrives Every...Red line4 minutesBlue line5 minutesYellow line6 minutes All three trains just arrived at the station. When will they next all arrive at the station at the same time? They will all arrive at the station in minutes.

Answers

Answer:

60 minutes

Step-by-step explanation:

Given the schedule above :

Red line arrives every 4 minutes

Blue line arrives every 5 minutes

Yellow line arrives every 6 minutes

All three just arrives at the train station ; when next will they all arrive at the train station at the same time.

Obtain the lowest common multiple of each arrov time :

Lowest common multiple of 4, 5, 6

_2___4___5___6

_2___2___5___3

_3___1___ 5 __ 3

_5___1___ 5 __ 1

_____1 ___1 ___1

Hence, lowest common multiple :(2 * 2 * 3 * 5) = 60

Hemce, they all arrive at the train station at the same time after 60 minutes

Can someone help me please I’ll mark u as brainliest

Answers

Answer:

It is a function because the dots are in a plot, with a similar line between the dots.

What is 1/6 + (2/3 - 1/4) in simplest form

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$(1)/(6)+((2)/(3)-(1)/(4))=\ \ \ \ | make\ a\ common\ denominator\n\n(2)/(12)+(8)/(12)-(3)/(12)=(2+8-3)/(12)=(7)/(12)\n\n The\ simplest\ form \ is\ (7)/(12).$

Solve the equation 36x^2 25=0

Answers

The equation 36x^2 + 25 = 0 possesses no real solutions; however, it yields two complex roots: x = (5/6)i and x = -(5/6)i.

The equation provided, 36x^2 + 25 = 0, is a quadratic equation in one variable, x. To solve it, we'll first isolate the x^2 term:

36x^2 = -25

Next, we'll divide both sides by 36:

x^2 = -25/36

Taking the square root of both sides, we get:

x = ±√(-25/36)

Since the square root of a negative number is imaginary, there are no real solutions to this equation. This means that the equation 36x^2 + 25 = 0 has no real roots, but it does have complex roots in the form of x = ±(5/6)i, where i is the imaginary unit.

The equation 36x^2 + 25 = 0 has no real solutions, but it does have two complex solutions: x = (5/6)i and x = -(5/6)i.

To learn more about variable

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Would assume it to be 36x² - 25 = 0

36x² - 25 = 0

(6x)² - 5² = 0

(6x + 5)(6x - 5) = 0 By difference of two squares.

6x + 5 = 0 or 6x - 5 = 0

6x = -5 6x = 5

x = -5/6 x = 5/6

x = +5/6 or - 5/6

A student runs 100 meters in 11 seconds. What is the speed of the student? 9.1 miles per hour 16miles per hour 20.3miles per hour 24miles per hour

Answers

The answer is 20.3 miles per hour. First, you need to change meter and second to mile and hour. The 100 meter equals 100/1609 mile. 11 seconds equals 11/3600 hour. Then using mile number divides by hour you can get the answer.

On average, it takes 4.75 hours to run a marathon. How many days will it take to run 100 marathons?

Answers

Answer:

475 hours

Step-by-step explanation:

4.75*100=475...........

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