What are the slope and the y-intercept of the linear function that is represented by the equation y=-10x+1
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Answer:
The slope is and the y-intercept is
.
Explanation:
This function is written in slope-intercept form, which is . In this form,
is the slope and
is the y-intercept.
In this case, and
, so those are the answers to this problem.
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cutoff point with the y axis
We have the following equation:
So we have to:
Answer:
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Round 3153007 to nearest 100000
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For the 20% off, we can make the following rule of three:
7.50 --------------> 100%
x ------------------> 20%
From here, we clear the value of x.
We have then:
Then, subtracting both values we have:
For taxes we have:
6 ---------------> 100%
x'---------------> 5.75%
Clearing the value of x' we have:
Then, adding both values we have:
Answer:
7.50 admission; 20% off; 5.75% tax is:
6.345
Amount with the discount- 7.50-1.50=$6
The amount with the discount with tax- 6×0.0575=$0.345
The amount with the discount plus tax- 6+0.345=$6.345 or $6.35
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0.17=17
0.165=16 1/2
17>16 1/2
I hoped I helped and please help me on my question.
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The algebraic expression which can be used to represent the length of the hypotenuse (h) of an isosceles right triangle is h=x√2.
How to write algebraic expression?
Algebraic expression are the expression which consist the variables, coefficients of variables and constants. The algebraic expression are used to represent the general problem in the mathematical way to solve them.
Steps to write down the simple algebraic expression-
- Identify all the factors of the expression.
- Assume a variable for the changing values.
- Put a coefficient for the variable, if there is any rate of change of variable.
- Use constant numbers for the fixed values.
An isosceles right triangle is a right triangle with congruent legs. The length of each leg is represented byx.
According to the Pythagoras theorem says that in a right angle triangle, the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.
Let suppose the length of the hypotenuse is h. Thus, the algebraic expression can be used to represent the length of the hypotenuse is,
Hence, the algebraic expression which can be used to represent the length of the hypotenuse (h) of an isosceles right triangle is h=x√2.
Learn more about the algebraicexpression here;
a^2+b^2=c^2
if each leg (a and b) = x, then
x^2+x^2=c^2
2x^2=c^2
solving for c by taking the square root of both sides leaves
c=x×sqrt(2)
c must be positive since its a length, so no need for a +- I. this case
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buttt before we set up our question lets get 4 and 2/7 as an improper fraction
2
4 ----
7
we do that by multipying the 4 and 7 and then adding 2 soo lets do that
4 x 7 = 28
28 + 2 = 30
look we have our numerator!! (the top number)
and we dont have to do anything to the numerator just keep it the same as 7 :) lets look at our new improper fraction
30
------
7
see now we can set up our problem:)
30 1
------ x -----
7 2
now all we do is multiply across:)
30 1 = 30 x 1 = 30
------ x -----
7 2 = 7 x 2 = 14
here is our new fraction
30
------
14
wait lets simplify it by dividing each number by 2
30 ÷ 2 = 15
------
14 ÷ 2 = 7
ahh this is better here is our simpified fraction
15
-------
7
or as a decimal it is 2.142857143
either one is the correct answer:)
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