Complete the square to write 16t² - 96t + 48 = 0

Answers

Answer 1

Answer:

first part:

(t-3)^2=6

second part:

0.55

5.45

Step-by-step explanation:

answer on edge uity

Answer 2

Complete square form of the equation  16t² - 96t + 48 = 0 is (t -3)² = 6.

What is a quadratic equation?

A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.

The standard form of a quadratic equation is ax² + bx + c = 0.

Where a, b and c are constants.

The given quadratic equation is,

16t² - 96t + 48 = 0

To find the square for the quadratic equation,

Simplify the quadratic equation,

16(t² - 6t + 3 ) = 0

Add 96 in whole equation,

16(t² - 6t + 3 + 6) = 16 x 6

16(t² - 6t + 9) = 96

t² - 6t + 9 = 96 /16

t² - 6t + 9 = 6

(t -3)² = 6

The required square form of the equation is (t -3)² = 6.

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Related Questions

convert 8/3 to a mixed number​

Answers

Answer:  2 & 2/3

============================================

Work Shown:

8/3 = (6+2)/3

8/3 = 6/3 + 2/3

8/3 = 2 + 2/3

8/3 = 2 & 2/3

The whole part is 2. The fractional part is 2/3.

-----------

Another way you could do the problem is to use long division as shown in the diagram below.

The result of the long division is

8/3 = 2 remainder 2

The quotient 2 forms the whole part and the remainder is the numerator of the fractional part 2/3.

So that's another way to get 2 & 2/3

Please help number 7

Answers

Answer:

Ok, so first, at the end of the equation, It says "+ 4" , right? So you put a point on positive 4 on the y-axis (the one that goes up and don, the vertical line.). Then, 2x means that's your slope, but since your graph only goes up to five, you gotta count down ward. So, go down from your point on the y-axis (4) twice and over to the LEFT (<--) once. Plot your point where you end up. then use a straightedge like a ruler, and connect your two points on the graph, and you have your line!

Hope this helps!

Answer:

it is cubix 12

Step-by-step explanation:

yw hope it helps!

[3.5x10^6]-[1.5x10^5] in scientific notation

Answers

Answer:

3.35 × 10^6

Step-by-step explanation:

What is the quotient of 6 and 2?
?
-12.
1
12.
0

12.
0 12.

Answers

To find the quotient you do 6/ (-1/2). You keep, change, flip when dealing with fractions.

Answer:

-12

Step-by-step explanation:

I got it right on edgen

A city planner wants to build a road parallel to 2nd Ave . What is the slope of the new road?

Answers

Answer:

0

Step-by-step explanation:

The slopes of parallel lines are equal.

Since the slope of the 2nd Ave. line is horizontal, it has no slope.

This means that the new road should also have no slope.

Hope this helps.

The 2nd-eve line is horizontal then the slope of the line will be zero.

What is a slope?

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is defined as the ratio of the rise to the run.

Given that a city planner wants to build a road parallel to 2nd Ave. The 2nd eve has the horizontal line.

The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 0 - 0 ) / ( -4 + 2 )

Slope = 0

Therefore, the 2nd-eve line is horizontal then the slope of the line will be zero.

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An electrician charges an hourly rate of $50, but also charges a fixed fee for making house calls regardless of time spend on the job. One day, the electrician earned a total of $250 for a 2 hour job. Write an equation for C,C, in terms of t,t, representing the total cost of the electrician's services if the electrician spends tt hours at the house working.

Answers

Answer:

C=50t+150

Step-by-step explanation:

From the information given, the equation will need to show that the total cost of the electrician services would be equal to 50 that is the hourly rate for the number of hours spent working plus the fixed fee:

Fixed fee=250-(50*2)=250-100=150

According to this, the equation would be:

C=50t+150, where C is the total cost of the electrician's services and t is the number of hours spent working.

best get brainly !!.!.!!:

Answers

Answer:96

Step-by-step explanation:

Answer:

the answer is 97

Step-by-step explanation:

a roofer charges $60 for the first hour of service call and $25 per hour for each additional hour. The roofer also charges a fee for all materials used plus 30% over the cost of the materials. Let r-roofer's cost of materials and h= number of hours worked. What expression could be used to find the cost of a service call

Answers

Answer:

y=60+25h+0.3r

Step-by-step explanation:

let y be the total charges

given that the hour is h

and the cost for raw material is r

therefore

1. The first hour of service call = $60

2. For each additional hour= 25h

 3. 30% over the cost of the materials.= 30/100*r=0.3r

total charges

y=60+25h+0.3r

therefore the expression is

y=60+25h+0.3r

   

Liam earned $1,200 in 2 weeks at his job. Matthew earned $1,450 in 4 weeks at his job. Which explains who earned more per week? A. Liam earned more per week because in 2 weeks he earned $250 more than Matthew earned in 4 weeks. B. Liam earned more per week because in 2 weeks he earned almost the same amount as Matthew earned in 4 weeks. C. Matthew earned more per week because in 4 weeks he earned $250 more than Liam earned in 2 weeks. D. Matthew earned more per week because he worked twice as many weeks as Liam worked.

Answers

Answer:

B. Liam earned more per week because in 2 weeks he earned almost the same amount as Matthew earned in 4 weeks.

Step-by-step explanation:

 in this problem we want to find who earns more between Liam and Mathiew

given

Liam earned $1,200 in 2 weeks

Matthew earned $1,450 in 4 weeks

Another way to find out who earns more per week is to find their weekly earns

for Liam earned $1,200 in 2 weeks

in a week he will earn= 1200/2

=$600 per week

for Mathew earned $1,450 in 4 weeks

in a week he will earn= 1450/4

=$362.5 per week

In a week Liam earns more

Pls help...
It is chose from A, B or C

Thanks

Answers

Answer:

The answer would be 'C'

It follows the criteria accurately.

Hello, please help me with the following questions attached. It’s due at 11:59 pm and I really don’t know cause tbh I haven’t been paying attention in that class.

Answers

Answer: 3) 3/4 5) (0,1)

Step-by-step explanation:

For number 3 you go rise over run. From the point on the y-axis you rise 3 and then run 4 to the x-axis if that makes any sense

1. please start to pay attention

1. an undefined slope is vertical

2. 90-70/15-3 = 20/12 = 10/6 = 5/3

3. 3/4 (rise over run)

4. slope: -1/5   y-intercept: 12

5. 1

6. y = 1/2x +b

   3 = 1/2(1) +b

   3 = 1/2+b

   subtract 1/2 from both sides

   2 1/2 = b

   y = 1/2x + 2 1/2

which linear inequality is represented by the graph graph​

Answers

Answer: choice A

Step-by-step explanation:

The linear inequality represented by the graph  is y≥1/3x-1

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us find slope of line passing through points (0, -1) and (3, 0)

Slope = 0+1/3

=1/3

y intercept we have to find

0=1/3(3)+b

b=-1

So equation of line is y=1/3x-1

As the shading is away from origin, we use the greater than or equal to symbol.

y≥1/3x-1

Hence, the linear inequality represented by the graph  is y≥1/3x-1

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Jon makes $78 in 12 hours of work for his mom. How much would Jon make in 1 hour of work?

Answers

$6.50 per hour because if he won $78 in 12 hours and you divide it to get money per hour you will get $6.50

Given the replacement set {0, 1, 2, 3, 4}, solve 5x - 4 = 16.
x = 0
x=2
X = 2
x=3
X = 3
x = 4

Answers

Answer:

the answer is x=4

Step-by-step explanation:

5x-4=19

5x=16-4

5x=20

x=4. (dividing both sides by 5)

simply the following (z⁵)²​

Answers

Answer:

Z^10

Step-by-step explanation:

Answer:

multiply 5*2=10

your answer will be =z^10

Step-by-step explanation:

a=20 cm
b=48 cm
What is the length of c?

Answers

The value of c is 52

write an equation in slope-intercept form of the line that passes through the points (-2,3) and (2,7)

Answers

Answer:

y = x+5

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( 7-3)/(2 - -2)

   ( 7-3)/(2+2)

   4/4

  1

Then slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 1*x+b

y = x+b

Substitute a point into the equation

7 = 2+b

7-2 =b

5=b

y = x+5

Answer:

M=1

Step-by-step explanation:

find the slope (M)

the slope is 1

Hope this helps Bodhi,

-4 = - 17 + x linear equations

Answers

add 17 to both sides

13 = x

hope this helps

See attachment for math work and answer.

Is (1,1) a solution to this system of inequalities

Answers

Answer: No

Explanation: It doesn’t work

f(x)=(x-1)^2(x+3)^3(x+1)

the zero located at x=1 has a multiplicity of ( blank1 ) and the zero located at x=-3 has a multiplicity of ( blank2 ). The graph of the function will touch, but not cross , the axis at an x-value of (blank3)

blank1: 1,2,3
blank2:1,2,3
blank3: 1 only, -3 and 1 only, -3 only, (-3,-1 and 1),-1 only

Answers

Blank3 1 only -3 and 1 only

Answer:

Step-by-step explanation: here ya go g

hellllp me with this plz thaks

Answers

The answer is 64 fluid ounces

The answer is 10 but just tell me why its ten and I will give brainliest

Answers

Answer:

10 inches

Step-by-step explanation:

[tex]\frac{192}{375}[/tex]=[tex]\frac{8}{x}^{3} }[/tex]

[tex]\frac{192}{375}[/tex]=([tex]\frac{512}{x^{3} }[/tex])

x^3=512*[tex]\frac{375}{192}[/tex]

x^3=1000

[tex]3\sqrt{x^{3} }[/tex]=[tex]3\sqrt{1000}[/tex]

x=10 in

Answer:

it equals 10

Step-by-step explanation:

A LOT OF POINTSS

find the surface area

Answers

Answer:

He used 286.73² in. of wrapping paper.

Answer:

I got 286.73

Step-by-step explanation:

I found the area of all the shapes in the thing and added them.

Pls correct me if I did the adding wrong cuz its 55+20+20+88+103.73

A math class is having a discussion on how to determine if the expressions 4x-x+ 5 and 8-3x-3 are equivalent using
substitution.

The class has suggested four different methods.

Which describes the correct method?

O Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the
two expressions must be equivalent.

OBoth expressions should be evaluated with one value. If the final values of the expressions are the same, then the
two expressions must be equivalent.

O Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are positive, then the two expressions must be equivalent.

O Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are the same, then the two expressions must be equivalent.

Answers

Answer:

the correct answer is the second one

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When you are trying to find if they are equivalent, you only want to use one value. If they are both positive, it doesn't mean that they are quivalent. They would have to be the same.

PLEASE PLEASE HELP 5 MINUTES HELPP HELPP WILL MARK BRAINLIEST!!!!!​

Answers

Answer:

The answer is the first choice and the last choice.

Step-by-step explanation:

The first one is already solved for y, so when you plug 9 into the equation in the x spot since 9 is the x-coordinate of the point, you get -2, which is correct because it is the corresponding y-value.

The second one is a mess when trying to solve and it clearly doesn't yield the right answer.

For the last one, when you solve for y and then plug in 9 for x, you get -2, the y-value making it correct.

Evaluate the expression for x=5, y=-3 and z=7
7 - 3y – 3z

Answers

Answer:

Step-by-step explanation:

7 - 3(-3) - 3(7) = 7 + 9 - 21 = 16 - 21 = -5

Answer:

-5

Step-by-step explanation:

(Refer to image)

Plug in the y and z and use order of operations to simplify!

A copy machine produces 40 copies in 5 minutes. How many copies can the machine make in 3 minutes? Solve and explain your solution.

Answers

Answer:

24

Step-by-step explanation:

40 divided by 5 = 8

8 x 3 = 24

Plz mark me brainsliesttttt

A bird was flying 26 feet above a lake. It descended 28 feet to grab a fish. What integer represents the depth of the fish when the bird grabbed it

Answers

Answer:

it's -2

Step-by-step explanation:

just subtract ☺️

Answer:

-2

Step-by-step explanation:

"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman (GhostBusters)

50 POINTS!!!!!!!!
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table: Roll Points Same number on both dice +3 Different numbers, with an even sum +1 An odd sum -2 At the end of ten rounds, the person with the highest number of points wins. In the first three rounds, Xander had the following rolls. Write an addition expression that can be used to find his point total at the end of the three rounds

Answers

Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)

How to solve rolled dice problems?

From the given ,question Abbie, Chloe, and Xander are playing a dice game.

They are playing with two dices.

The game rules are;

Same number on both dice = +3

Different numbers, with an even sum = +1

An odd sum = -2

After five rounds, score of Chloe = +1

1 = 3 + 1 + (-2) + (-2) + 1

⇒ Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)

If we alter the arrangements, In each case you will get sum as (+1), as integers satisfy both Commutativity and Associativity with respect to addition.

Complete question is;

Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:

Same number on both dice +3

Different numbers, with an even sum +1

An odd sum -2

In the first five rounds, Chloe had a combined score of 1 point. Determine what five types of rolls she had in these first rounds. Express your answer in complete sentences.

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Answer:

-2

-2

-2

-2

-2

The least number of rounds will be four. She will need to throw four, (different numbers, with an even sum).

Step-by-step explanation:

Simplify (3x-7)^2
Step by step

Answers

Answer:

9x² - 42x + 49

Step-by-step explanation:

Given

(3x - 7)² = (3x - 7)(3x - 7)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(3x - 7) - 7(3x - 7) ← distribute both parenthesis

9x² - 21x - 21x + 49 ← collect like terms

= 9x² - 42x + 49

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