All categories

3 years ago

My rule is take a number, double it, add 11, and then subtract 8.

Mathematics

2 answers:

denis23 [38]3 years ago

8 0

Answer: y=2x+2

Step-by-step explanation:

Rule as an expression: 2x+11-8

Simplify: 2x+2

Rewrite as an equation with x (input) and y (output): y=2x+2

professor190 [17]3 years ago

3 0

Y=2x+3
X= “a number”
•2
+(11-8)

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Both sum of three consecutive integers is 108 what are the three integers

Brilliant_brown [7]

Answer:

35 , 36 , 37

Step-by-step explanation:

Let the consecutive integers be x, (x + 1) , (x +2)

x + x + 1 + x +2 = 108

x + x + x + 1 + 2 = 108 {Combine like terms}

3x + 3 = 108 {Subtract 3 from both sides}

3x = 108 - 3

3x = 105 {Divide both sides by 3}

x = 105/3

x = 35

The three integers are, 35 , 36 , 37

4 0

3 years ago

Translating a sentence into a multi-step equation

Kryger [21]

Answer:7x-4= 3

Step-by-step explanation:

4 less than the product of 7 and a number is equal to 3.

The answer is 7x-4= 3 beacuse:

(a. whenever you have something less than , the first number in the sentence (in this cacse 4) goes after the second number (in this case 7) with a subtraction sign in the middle. (imagine this equation looking like 7-4 for now).Thats a little trick i use whenever i have to write "something less than something"

(b. okay so now we know it has to be 7 times somethig -4=3, but now we just need to write the "product of 7 and a number" in proper form. in other words, whenever you get somethig times a number, it is always going to be that number with an x right next to it. so thats why i made it 7x.

(c. "equals 3" is easy because you just turn it into an "=3".

(d. Now put it together. "4 less than the product of 7 and a number is equal to 3." becomes 7x-4=3.

Hope this helps :)) Also brainliest would be appreciated, worked pretty hard on this ! :D

5 0

2 years ago

Multiply (2x^2-3x+1)*(x^2-4x-3)

lianna [129]

$(2 {x}^{2} - 3x + 1)( {x}^{2} - 4 - 3) = \\ = 2 {x}^{4} - 8 {x}^{2} - 6 {x}^{2} - 3 {x}^{3} + 12x + 9x + {x }^{2} - 4 - 3 = \\ = 2 {x}^{4} - 3 {x}^{3} - 13 {x}^{2} + 21x - 7$

8 0

3 years ago

What is the circumference of the circle? r=6.4

nignag [31]

Answer:

C = 40.2124

Step-by-step explanation:

The formula for circumference is

C = 2*pi*r

where r is the radius.

Substitute what we know.

C = 2 * pi * 6.4

C = 12.8 * pi

If we use substitute pi in, we get

C = 40.2124

8 0

4 years ago

A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.

Vlada [557]

Answer:

a) $y=12000(2)^{\frac{t}{50}}$

b) Approx. 27,569 bacteria

c) About 103 minutes

Step-by-step explanation:

This will follow exponential modelling with form of equation shown below:

$y=Ab^{\frac{t}{n}}$

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

$y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}$

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

$y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76$

The number of bacteria after 1 hour would approximate be 27,569 bacteria

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

$y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103$

After about 103 minutes, there will be 50,000 bacteria

4 0

3 years ago