How many solutions does the nonlinear system of equations graphed belowhave?A. TwoB OneO C. ZeroO D. Four
How many solutions does the nonlinear system of equations graphed - 1

Answers

Answer 1
Answer: solutions are intersection points, basically they are the values that satisfy both equations which happen to be the points in common or interseciton points

we see that the line intersects the circle in 2 places
2 solutions

A

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Find an equation for the line that passes through (-4, 8) and (3, -7). What is the slope? Where does the line intersect the x-axis and the y-axis?

Answers

the equation of the line is : 7y +15x = -4
the slope is m= -15/7
intersect with x at (-4/15 ,0)
intersect with y at (0, -4/7)

Match the expressions 21/25 60% 13/20 84% 2/5 75% 65% 3/4 3/5

Answers

Answer:

21/25 ---> 84%

13/20 ---> 65%

3/5 ---> 60%

3/4 --->75%

2/5 ---> 40%

How to solve -5/7-11/7x=-y
2y=7+5x

Answers

\left\{\begin{array}{ccc}-(5)/(7)-(11)/(7)x=-y&/\cdot(-1)\n2y=7+5x\end{array}\right\n\left\{\begin{array}{ccc}(5)/(7)+(11)/(7)x=y\n2y=7+5x\end{array}\right\n\nsubstitute\n\n2\cdot\left((5)/(7)+(11)/(7)x\right)=7+5x\n\n(10)/(7)+(22)/(7)x=7+5x\ \ \ /\cdot7\n\n10+22x=49+35x\n\n22x-35x=49-10\n\n-13x=39\ \ \ /:(-13)\n\nx=-3

\left\{\begin{array}{ccc}x=-3\ny=(5)/(7)+(11)/(7)x\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=(5)/(7)+(11)/(7)\cdot(-3)\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=(5)/(7)-(33)/(7)\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=-(28)/(7)\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=-4\end{array}\right

what is the equation of y=x^3 with the transformation: vertical compression by a factor of 1/2, horizontal shift 7 units to the left, reflection across the x-axis?

Answers

Assuming the transformations are in order,
because S(x,y) = (x, 1/2y), reverse what is done to y and simplify,
y = x^3 > y = 1/2*x^3 to compress vertically,
because S(x,y) = (x-7,y), reverse what is done to x,
y = 1/2*(x+7)^3 to shift to the left,
reflection across the x-axis changes positives to negatives,
y = -1/2(x+7)^3 to reflect across the x-axis.

The area of a bathroom floor measures 2 yards by 3 yards and each custom tile that makes up the flooring is 1 1/2 square feet. How many tiles are needed to cover the floor?

Answers

The dimensions of the bathroom floor is given as 2 yards by 3 yards.
Then
The area of the bathroom floor in question = (2 * 3) square yards
                                                                     = 6 square yards
We already know that
1 square yard = 9 square feet
So
The area of the bathroom floor in question = (6 * 9) square feet
                                                                     = 54 square feet
Area covered by each custom tiles = 11/2 square feet
Then
Number of tiles required to cover the bathroom floor = 54/(11/2)
                                                                                     = (54 * 2)/11
                                                                                     = 108/11
                                                                                     = 9.81
So the number of tiles required to cover the bathroom flooring is 10. Since fraction of tiles cannot be bought, so 10 tiles are required.

You bought a Toyota corolla in 2004 for 12500. this car's value depreciates by 7% a year. How much is the car worth now(2016)? How much is it worth 2020?

Answers

You solve this by first determining how many years is it from 2004 to 2016. It is 12 years. Now you do 0.07 (which is 7% in decimal form) times 12 which gives you 0.84. To find 84% of 12,500, you just multiply them two together and get 10,500. You finish this by subtracting 10500 from 12500 and you get $2,000 as your final answer. 

For 2020, you determine how many years it is from 2004 to 2020 and you get 16. So you multiply 0.07 times 16 giving you 1.12. You multiply 1.12 times 12,500 and you get 14,000. Finally, you subtract 14,000 from 12,500 giving you -1500.