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Ugo [173]
3 years ago
5

Brandon graphed one line in a system of equations. The system has only one solution, (0,3). Which equations could also be part o

f the system? Check all that apply.
Mathematics
2 answers:
Klio2033 [76]3 years ago
8 0

Answer:

All of them except the second one

Step-by-step explanation:

Same intercepts

AlladinOne [14]3 years ago
6 0

Answer:

y = 3 and y = x + 3

Step-by-step explanation:

The equation y = 3 whose graph is a line parallel to x-axis can be a part of the system.

Consider the equation y = x + 3.

Substitute (0, 3).

3 = 0 + 3

So, (0, 3) lies on y = x + 3 and this can also be a part of the system.

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Solve the inequality. Graph the solution set, and write it using interval notation. |5x+4|less than or equal to 10
aniked [119]

we have the inequality

\lvert5x+4\rvert\leq10

step 1

Find out the first solution (positive case)

\begin{gathered} +(5x+4)\leq10 \\ 5x\leq10-4 \\ 5x\leq6 \\ x\leq\frac{6}{5} \\ x\leq1.20 \end{gathered}

The first solution is all real numbers less than or equal to 1.20

Interval (-infinite,1.20]

step 2

Find out the second solution (negative case)

-(5x+4)\leq10

Multiply by -1 both sides

\begin{gathered} (5x+4)\ge-10 \\ 5x\ge-10-4 \\ 5x\ge-14 \\ x\ge-\frac{14}{5} \\ x\ge-2.8 \end{gathered}

The second solution is all real numbers greater than or equal to -2.8

the interval [-2.8, infinite)

step 3

Find out the solution to the given inequality

The solution is

[-2.8, infinite) ∩ (-infinite,1.20]=[-2.8,1.20]

the solution is the interval [-2.8,1.20]

see the attached figure to better understand the problem

8 0
1 year ago
How many solutions exist for the system of equations graphed below?
Nat2105 [25]

Answer:

no solutions

Step-by-step explanation:

The lines are parallel and never intersect.  The solutions occur when the lines intersect, so there are no solutions

3 0
3 years ago
A boat leaves a dock and travels 9 miles due north and 12 miles due west. Find how far the boat is from the dock. Type the corre
adelina 88 [10]

Answer:

15 miles

Step-by-step explanation:

Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).

Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = \sqrt{9^2+12^2} =\sqrt{81+144} =\sqrt{225} =15

Thus, the answer is 15 miles.

Hope this helps!

3 0
3 years ago
Read 2 more answers
Plslslslsl help ASAPPPP 10 points and you win brainlist
dem82 [27]

Answer:

71

Step-by-step explanation:

Take the cost of the item and multiply by the commission percent

800 * 8.875%

Change to decimal form

800*.08875

71

3 0
3 years ago
Read 2 more answers
Given that f(x) = −x + 4 and g(x) = −2x − 3, solve for f(g(x)) when x = 2. (1 point)
likoan [24]

Correct option is

Correct option isC

Correct option isC3(2x+1)

Correct option isC3(2x+1)(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

5 0
3 years ago
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