All categories

3 years ago

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.

1 answer:

4 0

I believe it would be an empty set. If you graph the two lines, they have the same slope so are parallel but different Y intercepts so don’t intersect at all. This is an empty set, no solution.

You might be interested in

Please help me in this!!!!!!

TEA [102]

Answer:

Lower (or First) Quartile = 15

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A farmers field has the dimensions 2 and 3/4 by 1 and 1/3. He needs to find the area of the field

Afina-wow [57]

Answer:

3 2/3 units²

Step-by-step explanation:

Since the field is rectangular in nature;

Area of the field = Length * Width

Given

Length = 2 3/4

Width = 1 1/3

Area of the field = 2 3/4 * 1 1/3

Area of the field = 11/4 * 4/3

Area of the field = 4/4 * 11/3

Area of the field = 1 * 11/3

Area of the field = 11/3

Area of the field = 3 2/3

Hence the area of the field is 3 2/3 units²

5 0

3 years ago

PLS PLS HELP, I DONT WANT TO FAIL!!

Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

Given quadratic functions:

$\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}$

To find the time, in seconds, that the balloons collided at the highest point, substitute one equation into the other equation and rearrange to equal zero:

$\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-3x+2 & = 0\\x^2-2x-x+2 & = 0\\x(x-2)-1(x-2) & = 0\\(x-1)(x-2) & = 0\\\end{aligned}$

Apply the zero-product property to solve for x:

$\implies (x-1)=0 \implies x=1$

$\implies (x-2)=0 \implies x=2$

Therefore, the balloons collided at 1 second and 2 seconds.

To find at which time the highest point of collision occured, substitute both values of x into one of the functions:

$f(1)=-6(1)^2 +23(1)+5=22$

$f(2)=-6(2)^2 +23(2)+5=27$

Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.

Learn more about quadratic systems of equations here:

brainly.com/question/27930827

8 0

1 year ago

Read 2 more answers

A bakery bakes 728 trays of cookies in a day. How many trays of cookies can the bakery make in 43 days?

musickatia [10]

Answer:

There will be 31,304 trays of cookies in 43 days.

Step-by-step explanation:

728 = 1 day

728 x 43 = 31,304

5 0

3 years ago

20 POINTS Can someone check over these? I have a quiz on it tomorrow :(

Mama L [17]

Looks good! You have the right answers.

However, the graph for 12 and 15 is inaccurate! Because he starts from a stop sign/stop light, the graph's speed should start from the origin!

Not to confuse you or anything, but this means the graph does not follow the description of the problem. Please let your teacher know so s/he can fix the worksheet.

3 0

3 years ago