What is the difference when 5x2 − 3x + 2 is subtracted from 4x2 − 7x + 9?

Answers

Answer 1
Answer:

Answer:

5-4x

Step-by-step explanation:

so when 10 - 3x + 2 is subtracted from 8 - 7x + 9

an important thing here is to remember the brackets as you minus something,

17 - 7x - ( 12 - 3x)

which gives 17 - 7x -12 + 3x

which then the difference yields .... 5 - 4x


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Nick is now seven times as old as harry. In 6 years , nick will be five times as old as harry. How old will harry be in 6 years?

Answers

Answer:

18 years

Step-by-step explanation:

Let Nick age is x years and Harry's age is y years.

Hence, we have the equation

x = 7y  ......(1)

After six years, Nick's age is (x+6) and Harry's age is (y+6)

Hence, we have

x+6=5(y+6)\nx+6=5y+30

Plugging x = 7y, we get

7y+6=5y+30\n2y=24\ny=12

Hence, from equation (1)

x = 7(12)

x =84

In 6 years, Harry will be of 12 + 6 =18 years.

 

x = Harry's Age

Nick's age is 7x 

In 6 years Harry is 7x+6, and Nick is 5(x+6)

7x+6=5x+30

2x+6=30

2x = 24

x = 12

Harry = 12 years old and in 6 years Harry will be 18.

Is Jerome’s sister correct? Explain why or why not, using examples from the ratio table to support your argument.

Answers

Answer:

she is correct

Step-by-step explanation:

Jerome's sister is correct. She is correct because 6:16 is a duplicate of the recipe and is equivalent ratio of 3:8, but still is a larger amount of energy drink using the same measurements.

Answer:

she is correct

Step-by-step explanation:

because they are all the same numbers just multiplied

the formula for finding the volume of a pyramid is v=bh/3. what formula should I use to find altitude h? a. h=3b/v, b. h=3v/b, c. h=v/3b, or d. h=3bv

Answers

solve for h?

v=(bh)/3
mulitply both sides by 3
3v=bh
divide both sides by b
(3v)/b=h

answer is B

If Sergio ate 12 packages of banana chips in a week, which equation can be used to find the fraction of packages of banana chips B he ate every day and what is the fraction?

Answers

If you would like to find the fraction of packages of banana chips Sergio ate every day, you can calculate this using the following steps:

12 packages of banana chips ... 1 week = 7 days
x packages of banana chips = ? ... 1 day

12 * 1 = 7 * x
12 = 7 * x
x = 12 / 7
x = 1 5/7 packages of banana chips per day

The fraction would be 12/7 packages of banana chips per day.

I rent a gym for $150.00 for 30 students. Another time I rent the gym for $270.00 for 70 students. I need to find a fixed rate.(y= mx+b)

Answers

Answer: y = 3x + 60

Step-by-step explanation:

Set up two equations and solve the system:

 270 = 70x + b

- (150 = 30x + b)

  120 = 40x

    3   =  x

Input "x" into one of the equations and solve for "b":

150 = 30x + b

150 = 30(3) + b

150 = 90 + b

60 = b


Equation: y = 3x + 60

This means that there is a flat fee of $60 plus a rate of $3 per student


The fixed rate of gym fee of $60 plus a rate of $3 per student.

The fixed-rate is;

\rm y=3x+60

Given

I rent a gym for $150.00 for 30 students.

Another time I rent the gym for $270.00 for 70 students.

Linear function;

A linear function is a function that forms a straight line in a graph.

Let x be the number of students and y be the total cost of renting the gym.

To find the fixed-rate let us write the equation of line representing the total cost of renting a gym for x students.

The equation representing a fixed rate is;

\rm y = mx+b

I rent a gym for $150.00 for 30 students.

\rm 150 = 30x + b

Another time I rent the gym for $270.00 for 70 students.

\rm 270 = 70x + b

Subtracting both the equations;

\rm 150-270=30x+b-70x-b\n\n-120=-40x\n\n120=4x\n\nx=(120)/(4)\n\nx=3

Substitute the value of x in equation 1

\rm 150 = 30x + b\n\n150=30(3)+b\n\n150=90+b\n\nb=150-90\n\nb=60

Therefore,

The fixed-rate is;

\rm y=mx+b\n\ny=3x+60

Hence, the fixed rate of gym fee of $60 plus a rate of $3 per student.'

To know more about linearfunction click the link given below.

brainly.com/question/371915

Numero que multiplicado por si mismo de 50

Answers

El número que multiplicado por sí mismo da 50 es aproximadamente 7,071.

Answer:

7,071

Step-by-step explanation: