Solve the equation. 5t^3 +40t^2 = -80t
a. t= 0 and t= 4
b. t= -4 and t=0
c. t= -4 and t= 5
d. t= 4

Answers

Answer 1

Answer:

Option 'A' is true.

Step-by-step explanation:

Given the equation

[tex]5t^3\:+40t^2\:=\:-80t[/tex]

Add 80 to both sides

[tex]5t^3+40t^2+80t=-80t+80t[/tex]

Simplify

[tex]5t^3+40t^2+80t=0[/tex]

as 5t³ + 40t² + 80t = 5t (t + 4)²

5t (t + 4)² = 0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]t=0[/tex]        or        [tex]t+4=0[/tex]

solving

[tex]t + 4 = 0[/tex]

subtract 4 from both sides

[tex]t+4-4=0-4[/tex]

Simplify

[tex]t=-4[/tex]

Therefore, the solution to the equation is:

[tex]t=0,\:t=-4[/tex]

Hence, option 'A' is true.


Related Questions

Consider the expressions (3m + 2n - 6 and (-4-6m + 7n).
What is the sum of the expressions for n=-2 and m=5?

Answers

Answer:

-43

Step-by-step explanation:

The sum of the expression (3m+2n-6) and (-4-6m+7n) when m = 5 and n = -2 is -43.

What is an expression?

An algebraic expression consists of unknown variables, numbers and arithmetic operators.

Given are two expressions, (3m+2n-6) and (-4-6m+7n)

Putting m = 5 and n = -2, we get,

(3m+2n-6) = 3x5-2x2-6 = 15-4-6 = 15-10 = 5

(-4-6m+7n) = -4-6x5-7x2 = -4-30-14 = -30-18 = -48

(3m+2n-6) + (-4-6m+7n) = -48+5 = -43

Hence, The sum of the expression (3m+2n-6) and (-4-6m+7n) when m = 5 and n = -2 is -43.

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The chance of rolling
a 3
on a normal, 6 sided die.

Answers

Answer:

wouldn’t it be a 1 out of 6 chances since there is 6 sides on the dice

ANSWER: 1/6

Step-by-step explanation:

A fairly basic and fundamental problem in Probability, but still worth doing as an example of good mathematics.

Assumptions

The number cube is fair, that is not biased in any manner.

Key Points to Note.

Each roll of the number cube is an Independant Event, that is the outcome of any toss has no impact whatsoever on the outcome of any other toss.

The Probability of NOT achieving a specific outcome is equivalent TO ACHIEVING all other outcomes.

The Probability of achieving two sequential outcomes, is the Probability of achieving the first outcome multiplied by the Probability of achieving the second.

Analysis

What is the probability of rolling a 3 on a 6-sided number cube and then NOT rolling a 3 on a 6-sided number cube?

There are 6 sides on the number cube, each with an equal probability of being a specific outcome.

Therefore the Probability of a 3 as the outcome, is ( 1/6 ).

What is the probability of NOT rolling a 3 on a 6-sided number cube?

The Probability of NOT rolling a 3, is the same as either 1 - Probability (3) or Probability (1, 2, 4, 5, 6), which is equivalent to ( 5/6 )

Sequential Probabilities.

What is the probability of rolling a 3 on a 6-sided number cube AND THEN NOT rolling a 3 on a 6-sided number cube?

P( 3 ) then P( Not a 3 ) = ( 1/6 ) * ( 5/6 ) which equals ( 5/36 )

A Further Point to Note

Because the two rolls of the number cube are independant, the final probability is independant of the order of which outcome is first sought.

What is the expanded form and simplified value of 125^2/3?

Answers

Answer:

=25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex] , then

[tex]125^{\frac{2}{3} }[/tex]

= [tex]\sqrt[3]{25^2}[/tex]

= [tex]\sqrt[3]{15625}[/tex]

= 25

1.The height of a tower is 50.75 m. Express it in cm and mm.

Answers

Answer:

50.75m=5075cm=50,750mm

Step-by-step explanation:

50.75m=5075cm=50,750mm

50.70m= 5075cm
50.70m = 50750mm

help me please! i'll give you that brain thing

Answers

Answer:  

10

Step-by-step explanation:

6 x 10(x) = 60

60+12=72

hope this helps!

Clarise bought a 3 month-old kitten that weighed 4 pounds. Each month, the kitten gained 0.5 pounds when he was weighed at the vet's office. If x represents the number of months and y represents the weight of the kitten, which equation in point-slope form, y−y1=m(x−x1), models the situation?

y−3=0.5(x−4)
y minus 3 is equal to 0 point 5 times open paren x minus 4 close paren

y−4=0.5(x−3)
y minus 4 is equal to 0 point 5 times open paren x minus 3 close paren

y−0.5=3(x−4)
y minus 0 point 5 is equal to 3 times open paren x minus 4 close paren

y−4=3(x−0.5)

Answers

Answer:

y−0.5=3(x−4)

y minus 0 point 5 is equal to 3 times open paren x minus 4 close paren

Step-by-step explanation:

I need help under 10mins........

Answers

Answer:

B

Step-by-step explanation:

this equation is in the form of ax^2+bx+c

so a is 4, b is -9, and c is 8

Answer: its B

lead coefficient: 4x^2

coefficient: -9x

constant: 8

Please help me with this problem it's urgent:
3(x-5)^2=54

Answers

Answer:

x = 3 sqrt(2) + 5 , x = -3 sqrt(2) + 5

Step-by-step explanation:

3(x - 5)^2 = 54

(x - 5) ^ 2 = 18

x - 5 = sqrt 18

x - 5 = 3 sqrt(2), -3 sqrt(2)

x = 3 sqrt(2) + 5, x = -3 sqrt(2) + 5

Hope this helps!

PLEASE PLEASE HELP
ILL MARK BRAINLIEST ANSWER

Answers

Answer:

Please show me the anwers

Step-by-step explanation:

Answer: domain: (-∞,∞), {x |x∈  R}

range: (0,∞), { y | y > 0 }

asymptote: y=0

y-intercept: (0,1)

What is the value of f(n-1) 2

Answers

the exact value of f(n - 1)2 is 2fn - 2f

please help dont answer if u dont know the answer

Answers

Answer:

3rd one

Step-by-step explanation:

Which value of x makes the equation true?
X - ⅔ = ⅔

Answers

Answer:

4/3

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

x = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Given

x - [tex]\frac{2}{3}[/tex] = [tex]\frac{2}{3}[/tex] ( isolate x by adding [tex]\frac{2}{3}[/tex] to both sides )

x = [tex]\frac{4}{3}[/tex]

t multiplied 3/4=8/9

Answers

well what do you want to know???

Answer:t=32/27

Step-by-step explanation:

3/4t=8/9

(4/3)(3/4)t=(4/3)(8/9)

t=32/27

Hope it helps

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 24 to 6

Answers

Isint it 4 I think it is but I’m not 100% sure

The table gives an inequality and a number to divide both sides of the inequality by. Identify the new, true inequality.
A:
B:
C:
D:
The inequality symbol is only reversed when dividing by a___ number.

Answers

Answer:

A: -4 <-1

B: -2 < -1

C: 2> -5

D:2> -1

negative

Step-by-step explanation:

i did the assignment mark as brainliest?

The new true inequality are:

A = -4 < -1

B = -2 < -1

C = 2 > -5

D = 2 > -1

The inequality symbol is only reversed when dividing by a negative number.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

A:

8 > 2

8/-2 > 2/-2

-4 < -1

B:

-10 < -5

-10/5 < -5/5

-2 < -1

C:

16 > -40

16/8 > -40/8

2 > -5

D:

-8 < 4

-8/-4 > 4/-4

2 > -1

Thus,

A = -4 < -1

B = -2 < -1

C = 2 > -5

D = 2 > -1

Learn more about inequalities here:

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what is the greatest common factor of 56 42 and 98

Answers

Answer:14

Step-by-step explanation:

All of them are divisible by 14

You can see that if you prime factor them

The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy, or New York, New York:


Maximum Minimum Q1 Q3 IQR Median Mean σ
Rome 16 0 3 13 10 8.5 8 5.4
New York 20 1 4.5 6 1.5 5.5 7.25 5.4


Which of the choices below best describes how to measure the center of these data?

Answers

The choice that best describes the center of the data is the median.

Description of median

Median is a measure of central tendency. Median can be defined as the number that occurs in the center of a set of numbers that are arranged either in ascending or descending order.

For example, the median in these set of numbers; 100, 150, 200, 220, 250 is 200. This is because 200 is at the center of the data.

To learn more about median, please check: https://brainly.com/question/12528427

Which figure would best model the pizza to help determine the amount of dough needed to make it?

Answers

The answer is that I’m actually Not sure

Answer:

Cylinder

....................................................................

can anyone help with this​

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto Perimeter\ of \ cross\ shaped \ pattern \ is \ 128cm. }}} [/tex]

Step-by-step explanation:

Given that a cross shaped pattern is made by arranging four identical rectangles around the side of the square . The area of square is 64cm².

So , let's find the side of the square :-

[tex]\bf\implies\orange{Area_{square}=(side)^2}\\\\\bf\implies a\times a = 64cm^2\:\:\bigg\lgroup \red{\sf Assuming \ side \ to \ be \ a }\bigg\rgroup \\\\\bf\implies a^2 = 64cm^2 \\\\\bf\implies a=\sqrt{64cm^2} \\\\\implies\boxed{\purple{\bf a = 8cm }}[/tex]

Hence the side of square is 8cm .

Now , breadth of rectangle will be 8cm.

Now its given that the area of rectangle is 1½ times the area of square. So ,

[tex]\bf\implies Area_{rec.} = \dfrac{3}{2} \times Area_{square} \\\\\bf\implies Area_{rec.} = \dfrac{3}{2} \times 64 cm^2 \\\\\bf\implies \boxed{\red{\bf Area_{rectangle}= 96cm^2}}[/tex]

Hence side will be :-

[tex]\bf\implies lenght \times breadth = 96cm^2\\\\\bf\implies 8cm \times l = 96cm^2\\\\\bf\implies l =\dfrac{96cm^2}{8cm}\\\\\bf\implies \boxed{\red{\bf lenght = 12cm }}[/tex]

Hence the lenght of rectange is 12cm .

Now , the perimeter of the given figure will be ,

[tex]\bf\implies Perimeter_{cross} = 8(lenght) + 4(breadth) \\\\\bf\implies Perimeter_{cross} = 8\times 12cm + 4\times 8cm \\\\\bf\implies Perimeter_{cross} = 96cm + 32cm \\\\\bf\implies \boxed{\red{\bf Perimeter_{cross} = 128cm }}[/tex]

Hence the perimeter of the given cross is 128cm .

Question 12
What is the slope of the line with the equation y = -3x + 4

Please help I’m behind

Answers

So generally the equation of a line is in the form y = mx + c

Where m is the slope and c is the y-intercept.

So, from the equation y = -3x + 4, we see that m = -3 and c = 4. So the slope is -3

An AutoCAD drawing has a scale of 1/2 inches to 3 ft. If a piece of a bridge measures 17 ft, how long is that piece in the AutoCAD printout?
O 2.83 inches
O 102 inches
O .88 inches
O 8.5 inches

Answers

Answer:

It will be 2.83 inches long on the drawing

Step-by-step explanation:

The scale we have is;

0.5 in to 3 ft

This;

x in to 17

17 * 0.5 = 3 * x

8.5 = 3x

x = 8.5/3

x = 2.83 inches

Answer:

2.83

Step-by-step explanation:

I took the Quiz

2 is subtracted from three-fourths of d

Answers

One sixth of the sum 1/6 ( + )
the sum of d and 3 1/6 (d+3)
minus the product 1/6 (d+3) - ( )( )
The product of 4 and q 1/6 (d+3) - 4q

The product of p and 3 3p
is subtracted from - 3p
three-fourths of s 3/4 s - 3p

three-fourths the sum 3/4 ( + )
the sum of 9 and k 3/4 (9+k)

BAC is a sector of a circle, radius 20 cm, whose centre is at A.
Angle BAC = 43º.
Calculate the area of the sector BAC

Answers

The area of the circle is pi*r^2 or 400pi.

The sector fills up 43/360 of the circle since there are 360 degrees in a full circle.

Multiply this fraction by the full area to get the area of the sector:

400pi*(43/360)=47.78pi cm^2

what is the answer too 4-x+21?

Answers

Answer:

There are multiple answers depending on what you're looking for (down below)

Step-by-step explanation:

To SIMPLIFY or STANDARD FORM or EVALUATE: -x+25

to FACTOR the polynomial: -(x-25)

Solve for x: invalid

Find DOMAIN & RANGE : - ♾ , ♾

find X & Y INTERCEPT: x intercept: 25,0 y intercept: 0,25

finding INVERSE: f-1(c) = -x + 25

lmk if anything is wrong :)

There are 3 white counters and 1 black counter in a bag. what is the probability that I take out a black counter?

Answers

Answer:

1/4

Step-by-step explanation:

Favorable events/total events

favorable: 1 black counter

total: 1+3=4

Why does the equation 9–2x–9–16x=–14x–7–4x–11 have no solution

Answers

Answer:

Step-by-step explanation:

because if you add 18x to both sides of the equation and simplify, you get 0= -18. C.) because if you subtract 18x from both sides of the equation and simplify, you get.

tan Please help I’m on a time limit

Answers

Answer:

8/15

Step-by-step explanation:

The answer to the question is 8/15

y< 3x + 6
Determine if (2,4) is a solution

Answers

Answer:

Yes

Step-by-step explanation:

4 < 3(2) + 6

4< 6+6

4 < 12

Answer:

Algebraically determine the solution set of the following system of equations. y = 3x + 6

y = (x +4)^2 - 10

Step-by-step explanation:

I need help ASAP
Patricia has $12 to spend at an arcade. The arcade charges $6 admission and $3 per hour to play as many games as she wants. Which inequality can be used to find any possible number of hours, x, Patricia can play games without spending more than $12?

Answers

Answer:

The inequality is 6 + 3x 12 or x 2 .

Step-by-step explanation:

Given that $6 is for admission which is a fixed amount, $3 is charged per hour and must not spend more than $12. So the inequality will be :

Let x be the no. of hours,

6 + 3x ≤ 12

Solve :

6 + 3x ≤ 12

3x ≤ 12 - 6

3x ≤ 6

x ≤ 6 ÷ 3

x ≤ 2

Answer:

X + 6 ≤ 12

Step-by-step explanation:

3x + 6 ≤ 12

-6 -6

3x ≤ 6

/3 /3

x ≤ 2

Does anyone know what's asked for flvs pre Calc module 4 dba

Answers

No
Don’t knew
What
Forgot tbh

Answer:

sequences and series

Step-by-step explanation:

terms to know:

sequence

series

divergent

convergent

infinite seies

arithmetic series

geometric series

ik im late asl but points

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