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3 years ago

A system of linear equations has been graphed in the diagram. Determine a reasonable solution for the system of equations.

Mathematics

1 answer:

NeTakaya3 years ago

7 0

Remark

You have to make a couple of assumptions. The first is that the x and y axis are the same unit spacing.
That means that 0,1 and 1,0 are the same distance from the origin and the same would be true for 0,2 and 2,0. The minus points would have to have the same things said about them.
The next assumption is that the solution point is in the third quadrant. It would look something like (- , - )
The last assumption is that x is a larger number than y. x in this case means that x is less negative than y.
Eye balling it tells me that the x value is about 1/4 the y value.

Solution

A reasonable solution would be (-1 , - 4)

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Please help me out!

seropon [69]

Answer:

Second option

Third option

Fourth option

Step-by-step explanation:

We have the following quadratic function

$f(x) =(x-1)(x+7)$

Use the distributive property to multiply the expression

$f(x) =x^2+7x-x-7$

$f(x) =x^2+6x-7$

For a function of the form $f (x) = ax ^ 2 + bx + c$ the x coordinate of the vertex is:

$x =-\frac{b}{2a}$

Then in this case the coordinate of the vertex is:

$x =-\frac{6}{2(1)}$

$x =-3$

To obtain the y coordinate of the vertex we evaluate the function at $x = -3$

$f(-3) =(-3)^2+6(-3)-7$

$f(-3) =9-18-7$

$f(-3) =-16$

Then the vertex is: (-3, -16)

We can see in the graph that the zeros of the function are x=1 and x=-7

Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞

The function is positive for $x$ and $x> 1$

The correct answers are:

Second option

Third option

Fourth option

7 0

3 years ago

Gwen bought a 2 1/4 pound bag of Finch bird seed and 3 1/2 pound bag of parrot bird seed . The total cost for the two bags was $

GenaCL600 [577]

Answer:

Software comprises the entire set of programs, procedures, and routines associated with the operation of a computer system. The term was coined to differentiate these instructions from hardware—i.e., the physical components of a computer system.

3 0

2 years ago

Read 2 more answers

Find the area of a rectangle with a perimeter of 12 meters and a base of 4 meters

stepladder [879]

Considering the perimeter (P)
$p = 2 \times b + 2 \times h$
where b is the base and h is the height, then
$12 = 2 \times 4 \times 2 \times h \\ \\ h = \frac{12 - (2 \times 4)}{2} \\ \\ h = 2$
Being the area (A)
$a = b \times h \\ \\ a = 4 \times 2 \\ \\ a = 8 {m}^{2}$

7 0

3 years ago

Which number is relatively prime to 63? A. 114 B. 99 C. 87 D. 25

ElenaW [278]

Answer:

The answer is 114 which is the first answer which is A

Step-by-step explanation:

The rest 99, 87, and 25 just dont

Hope this helps you

7 1

3 years ago

Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = − 1/2 , cos(x) > 0

vodomira [7]

Answer:

sin(2x) = -4/5
cos(2x) = 3/5
tan(2x) = -4/3

Step-by-step explanation:

It may be easiest to start with tan(2x).

tan(2x) = 2tan(x)/(1 -tan(x)²)

tan(2x) = 2(-1/2)/(1 -(-1/2)²) = -1/(3/4)

tan(2x) = -4/3 . . . . . still a 4th-quadrant angle

Then cosine can be found from ...

cos(2x) = 1/√(tan(2x)² +1) = 1/√((-4/3)²+1) = √(9/25)

cos(2x) = 3/5

Sine can be found from these two:

sin(2x) = cos(2x)tan(2x) = (3/5)(-4/3)

sin(2x) = -4/5

5 0

4 years ago