Answer:
Option C is correct
Step-by-step explanation:
Given: vertex of this parabola is at (-2,-3)
To find: coefficient of the squared expression in the parabola’s equation if the x-value is -1, the y-value is -5
Solution:
The equation of parabola is of the form
Here, a is the coefficient of the squared expression in the parabola’s equation.
Put
So, the coefficient of the squared expression in the parabola’s equation is
Answer:
5th term of sequence = -18
nth term of the sequence = -5n + 7
Step-by-step explanation:
Difference between successive and previous term of the output,
= -3 - 2
= -5
Similarly,
= -5
There is a common difference 'd' = (-5)
Therefore, the sequence formed will be an arithmetic sequence.
First term of the sequence 'a' = 2
Explicit formula of an arithmetic sequence, = a + (n - 1)d [n = input value]
= 2 + (n - 1)(-5)
= 2 - 5n + 5
= -5n + 7
5th term of this sequence,
= 2 - 20
= -18
Therefore, 5th term of sequence = -18
nth term of the sequence = -5n + 7
Answer:
The inequality to determine the number of days, , Darcie can skip crocheting and still meet her goal is:
Thus, Darcie can skip a maximum of 15 days.
Step-by-step explanation:
Question
Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.
Given:
Darcie has a target to crochet a minimum of 3 blankets.
Rate at which Darcie crochets = of a blanket per day.
Darcie has 60 days to crochet the blankets
To write an inequality to determine the number of days, , Darcie can skip crocheting and still meet her goal.
Solution:
The number of days Darcie can skip crocheting is represented by
So, number of days left for Darcie to crochet =
In 1 day Darcie crochets of a blanket.
So, in days she will crochet =
blankets.
Her aim is to crochet at least 3 blankets.
Thus, the inequality can be given as:
Solving for
Multiplying both sides by 15 to remove fractions.
Subtracting both sides by 60.
Dividing both sides by -1.
[ On dividing by negative number the sign of the inequality is reversed]
∴
Thus, Darcie can skip a maximum of 15 days.