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4 years ago

Triple my number add six and subtract my number twice I get my number plus three

1 answer:

8 0

Let the number be x.

Triple the number means 3x
add 6 means 3x + 6
subtract the number twice 3x + 6 - x - x
the result is the number plus 3 means that the result is x + 3

So, combining these into an equation, we get:
3x + 6 - x - x = x + 3

If we solve this equation for x, we will get:
x + 6 = x + 3
The x will cancel out and we will get : 6 = 3

Therefore, this is a false statement.

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HELP!!! PLEASE!!!!

Makovka662 [10]

Answer:

y = 2x² - 5x + 7

Step-by-step explanation:

For this problem, imagine the standard form, which is:

f(x) = ax² + bx + c = y

Using the table, and adding that y at the end, we can plug in and write out the following equations. (Writing it out is important):

f(-1) = a(-1)² + b(-1) + c = 14

f(0) = a(0)² + b(0) + c = 7

f(1) = a(1)² + b(1) + c = 4

f(2) = a(2)² + b(2) + c = 5

Now if this doesn't look familiar, it's actually a systems of equations using the a, b, and c elements as your three variables! If you simplify the equations:

f(-1) = a - b + c = 14

f(0) = c = 7

f(1) = a + b + c = 4

f(2) = 4a + 2b + c = 5

Something unique just happened. We have already defined what ' c ' is!

c = 7

Setting that aside, if you remove the f(x) portion of the equations, you're left with:

a - b + c = 14

a + b + c = 4

4a + 2b + c = 5

Using the two upper equations, if we add them together (you can do that as it doesn't change the values of the variables) you get:

2a + 2c = 18

Note: the ' b ' variables cancelled out in the addition [ b + (-b) ]

If you further simplify the equation:

a + c = 9

Awesome. Now we already know that c = 7, so if you plug that into the equation:

a + 7 = 9

Solve for a. So then a = 2

Now that we know the following:

a = 2

c = 7

We can then use the equation:

a + b + c = 4

And solve for b!

2 + b + 7 = 4

Simplify.

b + 9 = 4

Simplify.

b = -5

Now at this point, since you know what a, b and c are, you can write the equation!

f(x) = 2x² - 5x + 7

You can confirm your work by putting any of the x values in the table through!

4 0

3 years ago

Read 2 more answers

If K = {(x, y) | x - y = 5}, is Set K a function?

igomit [66]

Yes it is young master

6 0

3 years ago

Read 2 more answers

see i don't mind giving my points away..Can anyone help me solve this though for a brainlest and extra points?

victus00 [196]

Answer:

a= $17\sqrt{2}$

Step-by-step explanation:

As we have 2 of the angles, we can find the third. The measure of the third angle is 45 degrees.

As this is the same measure as the other, that means that the side length will be the same.

Now was have two side lengths of 17 in a right triangle, so we can use the Pythagorean theorem to find a.

Recall that the pythagorean theorem states: $a^2+b^2=c^2$

In this case, a is 17, b is 17, and c is a

Knowing this, we can input our value into this formula and solve for a.

$17^2+17^2=a^2\\\\289+289=a^2\\\\a=\sqrt{578} \\\\a=17\sqrt{2}$

6 0

3 years ago

Read 2 more answers

20% of the students in the class play an instrument. if there are 35 students in class, how many play an instrument?

kondor19780726 [428]

Answer:

7 students play an instrument.

Calculation:

35=100%

20%=[20×35]÷100

6 0

3 years ago

can anyone help tech me how to solve for tax and tip. im going to 6th grade and trying to get into the advanced group but I don'

baherus [9]

If something isn't clear or you're still confused about, let me know in the comments.

Step-by-step explanation:

Okay, here's my best try.

Suppose you have a bill for $8.45

If you are asked to add, say, 8% tax, you must calculate 8 percent of 8.45 and then add it to 8.45.

Begin by converting 8% to decimals by dividing by 100.

$\frac{8}{100}=0.08$ 8% is 0.08 in decimal form.

To calculate a percentage of a number, you multiply the decimal percent by the number; example:

$0.08(8.45)$ 8.45 is being multiplied by 0.08. The result is: 0.676. (this is the tax; however you have to round up to two decimal places: $0.68)

After finding the tax amount, if you are asked to add it to the bill, you have to add it to the original bill; in this case, $8.45

This would be: 0.68+8.45=9.13.

Therefore, the total bill after tax is for $9.13

----------------------------------------------------------------------------------------------------

With tips is the same thing, however, you can have 2 situations.

Situation 1: You are asked to calculate 15% tip of total bill.

In this situation, you can do the same we do to calculate tax.

Convert the percentage to decimal by dividing by 100.

$\frac{15}{100}=0.15$

and multiply it by the original bill.

$0.15(8.45)=1.2675$ . Rounding up, this would be $1.27 for tip.

If you were to add it to the original bill, simply sum.

$8.45+1.27=9.72$

The total bill after tips is for $9.72

Situation 2: You are asked to calculate 15% tip of the total bill with a tax of 8% included.

In this situation, you must first calculate the total bill with the tax added, like we did above; we got a bill for $9.13 (Tax included)

Then you can calculate 15% tip of this new bill that has tax included.

Convert

$\frac{15}{100}=0.15$

Multiply by the new bill (because this is the one that includes tax)

$0.15(9.13)=1.3695$ Round up.... $1.37 for tips.

If you are asked to give a total amount of money including tax and tips, add this to the bill.

9.13+1.37=10.50

This bill would be for $10.50

3 0

3 years ago