Answer:
Sarah purchased 2 drinks and 6 candies.
Step-by-step explanation:
Let
x ----> the quantity of drinks Sarah bought.
y ----> the number of candies acquired by Sarah.
We know that
the total spent on drinks and candies was $35.50
therefore,
-----> equation A
She bought 3 times more candies compared to drinks.
thus,
-----> equation B
To resolve the equations graphically
The solution lies at the intersection of the two graphs
utilizing a graphing tool
The result is the coordinate (2,6)
therefore,
Sarah bought 2 drinks and 6 candies.
The distance formula is
. In the ordered pairs (4, 6), the first number 4 represents the
x-coordinate while 6 is the
y-coordinate. In (7, -3), 7 is the
x-coordinate and -3 is the
y-coordinate. Substituting these coordinates results in
. Since subtracting a negative is equivalent to adding a positive, we now have
The response is C. Generally, you incur interest charges from your bank when you exceed your credit limit during borrowing.
Given:
A quadratic function has a line of symmetry positioned at x = –3.5 with one root located at –9.
To find:
The second root.
Solution:
It is understood that the line of symmetry splits the quadratic function's graph into two identical halves. Hence, both roots are equidistant from this line.
This implies that the line of symmetry passes through the midpoint of the two roots.
Let the other root be denoted as x.
Multiply both sides by 2.
Add 9 to both sides.
Consequently, the other zero of the quadratic function is concluded to be 2.
We have a piecewise function consisting of a parabolic graph and a linear graph.
When the parabolic graph of 
is elevated by 6 units, the new equation becomes
.
Given that the parabola aligns with this requirement, its equation can be expressed as
The parabola extends to x=3, where there is an open circle at this point. Thus, we need to use a less than sign.
Next, the line's equation is determined as 
Since there is a solid dot, we must employ the greater than or equal to sign.
Consequently, the piecewise function's equation is derived as
C is the right choice.
