A(4,2) to (X + 1, y - 5)
so
A' (5, -3)
then reflected across y-axis
A' (-5, -3)
a)A(4,2), point A is located in quadrant I
b)A'(5,-3), point A' is located in quadrant IV
c)A'(-5,-3), point A' is located in quadrant III
Explanation in this file
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Answer:
Her monthly income=$1,082
Step-by-step explanation:
Step 1: Express the total monthly pay:
The total monthly pay can be expressed as follows;
A=F+(R×T)
where;
A=the total monthly income
F=fixed income per month
R=commission rate
T=total monthly sales
In our case;
F=$650 a week
R=6%=6/100=0.06
T=$7200
replacing;
A=650+(6% of 7,200)
A=650+(0.06×7,200)
A=650+432=1,082
A=$1,082
Her monthly income=$1,082
Answer:
The factors of x² - 3·x - 18, are;
(x - 6), (x + 3)
Step-by-step explanation:
The given quadratic expression is presented as follows;
x² - 3·x - 18
To factorize the given expression, we look for two numbers, which are the constant terms in the factors, such that the sum of the numbers is -3, while the product of the numbers is -18
By examination, we have the numbers -6, and 3, which gives;
-6 + 3 = -3
-6 × 3 = -18
Therefore, we can write;
x² - 3·x - 18 = (x - 6) × (x + 3)
Which gives;
(x - 6) × (x + 3) = x² + 3·x - 6·x - 18 = x² - 3·x - 18
Therefore, the factors of the expression, x² - 3·x - 18, are (x - 6) and (x + 3)
Answer:
The price of one jar of dipping sauce is $2.98
Step-by-step explanation:
Let
x ----> the price of one bag of chip
y ----> the price of one jar of dipping sauce
we know that
<em>Corinne</em>
----> equation A
<em>Ginger</em>
----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (1.98,2.98)
see the attached figure
therefore
The price of one bag of chip is $1.98
The price of one jar of dipping sauce is $2.98