Well first, we have to find the y intercept. So plug in your coordinates.
-2 = 4 (3) + b
Simplify
-2 = 12 + b
now, let's put like terms together.
-14 = b
b= -14
Hope I could help!
Answer:
the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750
Step-by-step explanation:
Let a represent the charge in the first city before tax and b represent the charge in the second city before tax.
Therefore tax in first city = 10% of a = 0.1a
Tax in second city = 8% of b = 0.08b
From the total tax as $825, hence:
0.1a + 0.08b = 825 (1)
The hotel charge before tax in the second city was $1500 lower than in the first. This gives the equation:
b = a - 1500
a - b = 1500 (2)
To find a and b, solve equation 1 and 2 simultaneously. Multiply equation 2 by 0.1 and subtract from equation 1:
0.18b = 675
b = $3750
a = b + 1500 = 3750 + 1500 = 5250
a = $5250
Therefore, the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750
a) Both the length and the width of the rectangle are square roots of integers.
b) The length and the width of the rectangle are 6√5 units and 3√5 units, respectively.
<h3>How to analyze irrational numbers</h3>
Irrational numbers are numbers that not rational, that is, numbers that not of the form m / n, where m and n are integers and n is different of zero. Rational numbers may be integers or not.
Now, the statement indicates that the length and the width of rectangle have measures of 2 · x and x, respectively, and that the area of the rectangle is equal to 90 square units. The area formula is presented below:
90 = (2 · x) · x
90 = 2 · x²
x² = 45
x = √45
x = √(9 × 5)
x = √9 × √5
x = 3√5
a) Both the length and the width of the rectangle are square roots of integers.
b) The length and the width of the rectangle are 6√5 units (approx. 13.416 units) and 3√5 units (approx. 6.708 units), respectively.
To learn more on irrational numbers: brainly.com/question/3386568
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Answer:
26/100 which is simplified to 13/50
Step-by-step explanation:
you have to get equal denominators so multiply 2/10 by 10 on top and bottom to get 20/100 then you can add 6/100 plus 20/100 which is 26/100 . denominators stay the same 26/100 can be simplified to 13/50
