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andrey2020 [161]
3 years ago
8

Which of the following sentences contains a gerund phrase (not a verb phrase or just a gerund by itself)?

Mathematics
2 answers:
Monica [59]3 years ago
6 0

Answer:

a)Sally is fishing on the lake with her father and brothers.

b)Marcus is supposed to be joining the discussion later today.

c)My cat was not interested in the dangling string.

d)Her chorus director does not appreciate Angela's fidgeting.

Step-by-step explanation:

Zinaida [17]3 years ago
5 0
I need choices so i can see which one is right
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Describe the steps required to determine the equation of a quadratic function given its zeros and a point.
faltersainse [42]

Answer:

Procedure:

1) Form a system of 3 linear equations based on the two zeroes and a point.

2) Solve the resulting system by analytical methods.

3) Substitute all coefficients.

Step-by-step explanation:

A quadratic function is a polynomial of the form:

y = a\cdot x^{2}+b\cdot x + c (1)

Where:

x - Independent variable.

y - Dependent variable.

a, b, c - Coefficients.

A value of x is a zero of the quadratic function if and only if y = 0. By Fundamental Theorem of Algebra, quadratic functions with real coefficients may have two real solutions. We know the following three points: A(x,y) = (r_{1}, 0), B(x,y) = (r_{2},0) and C(x,y) = (x,y)

Based on such information, we form the following system of linear equations:

a\cdot r_{1}^{2}+b\cdot r_{1} + c = 0 (2)

a\cdot r_{2}^{2}+b\cdot r_{2} + c = 0 (3)

a\cdot x^{2} + b\cdot x + c = y (4)

There are several forms of solving the system of equations. We decide to solve for all coefficients by determinants:

a = \frac{\left|\begin{array}{ccc}0&r_{1}&1\\0&r_{2}&1\\y&x&1\end{array}\right| }{\left|\begin{array}{ccc}r_{1}^{2}&r_{1}&1\\r_{2}^{2}&r_{2}&1\\x^{2}&x&1\end{array}\right| }

a = \frac{y\cdot r_{1}-y\cdot r_{2}}{r_{1}^{2}\cdot r_{2}+r_{2}^{2}\cdot x+x^{2}\cdot r_{1}-x^{2}\cdot r_{2}-r_{2}^{2}\cdot r_{1}-r_{1}^{2}\cdot x}

a = \frac{y\cdot (r_{1}-r_{2})}{r_{1}^{2}\cdot r_{2}+r_{2}^{2}\cdot x +x^{2}\cdot r_{1}-x^{2}\cdot r_{2}-r_{2}^{2}\cdot r_{1}-r_{1}^{2}\cdot x}

b = \frac{\left|\begin{array}{ccc}r_{1}^{2}&0&1\\r_{2}^{2}&0&1\\x^{2}&y&1\end{array}\right| }{\left|\begin{array}{ccc}r_{1}^{2}&r_{1}&1\\r_{2}^{2}&r_{2}&1\\x^{2}&x&1\end{array}\right| }

b = \frac{(r_{2}^{2}-r_{1}^{2})\cdot y}{r_{1}^{2}\cdot r_{2}+r_{2}^{2}\cdot x +x^{2}\cdot r_{1}-x^{2}\cdot r_{2}-r_{2}^{2}\cdot r_{1}-r_{1}^{2}\cdot x}

c = \frac{\left|\begin{array}{ccc}r_{1}^{2}&r_{1}&0\\r_{2}^{2}&r_{2}&0\\x^{2}&x&y\end{array}\right| }{\left|\begin{array}{ccc}r_{1}^{2}&r_{1}&1\\r_{2}^{2}&r_{2}&1\\x^{2}&x&1\end{array}\right| }

c = \frac{(r_{1}^{2}\cdot r_{2}-r_{2}^{2}\cdot r_{1})\cdot y}{r_{1}^{2}\cdot r_{2}+r_{2}^{2}\cdot x + x^{2}\cdot r_{1}-x^{2}\cdot r_{2}-r_{2}^{2}\cdot r_{1}-r_{1}^{2}\cdot x}

And finally we obtain the equation of the quadratic function given two zeroes and a point.

6 0
3 years ago
Stephen deposited $1800 into a savings account for which interest is compounded weekly at a rate of 3.2%. How much interest will
Nady [450]
Hi there
First find the future value using the compound interest formula
The formula is
A=p (1+r/k)^kn
A future value?
P present value 1800
R interest rate 0.032
K compounded weekly 52
N time 10 years
A=1,800×(1+0.032÷52)^(52×10)
A=2,478.59

Now find the interest earned
I=A-p
A future value 2478.59
P present value 1800
So
I=2,478.59−1,800
I=678.59

It's b

Good luck!
8 0
3 years ago
HELP ASAP!!!!
Vikentia [17]

Answer:

The answer would be 70.2.

Step-by-step explanation:

You just have to replace the x in the equation with a 2 because x=2.

5 0
3 years ago
The cost of a babysitting on a cruise is 10 for the first hour, and 12 for each additional hour. If the total cost of baby Aaron
Sliva [168]

<u>Answer:</u>

5 hours  was Aaron at the sitter

<u>Explanation: </u>

Cost of baby sitting for the first hour: 10

Cost of baby sitting for additional hour= 12

Total cost of babysitting= 58

Since the cost of first hour is 10

Hence  the remaining cost after first hour

= 54-10

=48

Which means 1 hour  is consumed in the first hour

Now to calculate the remaining hours for every additional hour

= \frac{48}{12}

=4 hours

Hence the total hour Aaron was with the sitter

= 1 hour + 4 hours

= 5 hours

4 0
4 years ago
jaime makes a necklace with beads that are 0.08 meter long. her next necklace will have beads that are 1/10 the size of the bead
MatroZZZ [7]


It would be 0.008 meters long


3 0
3 years ago
Read 2 more answers
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