Step-by-step explanation:
If the discount is 35% off. then the new price is 65% of what the old price is. So we multiply 120 x .65 = 78
Step-by-step explanation:
If the zeros are 5 and 9, then the equation will have the form:
y = a (x–5) (x–9)
We know the point (0, 90) is on the curve, so we can use this to find the coefficient a:
90 = a (0–5) (0–9)
90 = 45a
a = 2
y = 2 (x – 5) (x – 9)
The first four terms of the sequence that follows the rule is 2, -1, 5 and -7
<h3>What is an
equation? </h3>
An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
A sequence of numbers follows the rule: multiply the previous number by -2 and add 3. Let a represent the third term, hence if the 4th term is -7:
-7 = -2a + 3
a = 5
Let b represent the second term, hence:
5 = -2b + 3
b = -1
Let c represent the first term, hence:
-1 = -2c + 3
c = 2
The first four terms of the sequence that follows the rule is 2, -1, 5 and -7
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Answer:
9 essay questions.
Step-by-step explanation:
We have been given that ada’s history teacher writes a test for the class with 26 questions. We can represent this information in an equation as:
x+y=26
We are also told that multiple choice worth 3 points each, so total number of points for x questions will be 3x.
As essays worth 8 points each, so total number of points for y questions will be 8y.
Since the test is worth 123 points, so we can represent this information in an equation as:
3x + 8y= 123
Now we will use substitution method to solve system of linear equations.
From equation (1) we will get,
x=26-y
Substituting this value in equation (2) we will get,
3×(26-y)+8y=123
78-3y+8y=123
78+5y=123
Let us subtract 78 from both sides of our equation.
78-78+5y=123-78
5y=45
Let us divide both sides of our equation by 5.
5y/5=45/5
y=9