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3 years ago

Use the drawing tool(s) to form the correct answer on the provided graph.

Mathematics

2 answers:

hoa [83]3 years ago

5 0

Answer:

The graph of system of inequalities is shown below.

Step-by-step explanation:

The given system of inequalities is

$y>\frac{1}{4}x+6$ .... (1)

$y>2x-1$ ... (2)

The slope intercept form of a line is

$y=mx+b$

where, m is slope and b is y-intercept.

The related equation of first inequality is

$y=\frac{1}{4}x+6$

The slope of this line is 1/4 and y-intercept is 6.

The related equation of second inequality is

$y=2x-1$

The slope of this line is 2 and y-intercept is -1.

The sign of inequalities is >, it means the related line is a dotted line and shaded region lies above the line.

Common shaded region represents the solution set.

Dominik [7]3 years ago

3 0

Answer:

see below. The solution is the doubly-shaded area.

Step-by-step explanation:

Each boundary line will be dashed, because the "or equal to" case is <em>not included</em>. Each shaded area will be above the corresponding boundary line because the comparison symbol is y > .... That is, only y-values greater than (above) those in the boundary line are part of the solution.

Of course, the boundary lines are graphed in the usual way. Each crosses the y-axis at the value of the constant in its equation. Each has a slope (rise/run) that is the value of the x-coefficient in the equation.

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What is 14/35 as a percent?

olasank [31]

$\frac{14}{35} \times 100\% = 40\%$

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2 years ago

Without solving, determine the number of real solutions for each quadratic equation.

masha68 [24]

Answer:

1. x^2 − 4x + 3 = 0

$b^2 -4ac = (-4)^2 -4(1)*(3)= 4 >0$ So we have two real solutions

2. 2n^2 + 7 = −4n + 5

$b^2 -4ac = (4)^2 -4(2)*(2)= 0$ So we just one real solution

3. x − 3x^2 = 5 + 2x − x^2

$b^2 -4ac = (1)^2 -4(2)*(5)= -19$ No real solutions

4. 4x + 7 = x^2 − 5x + 1

$b^2 -4ac = (-9)^2 -4(1)*(-6)= 105 >0$ So we have two real solutions

Step-by-step explanation:

1. x^2 − 4x + 3 = 0

We need to compare this function with the general equation for a quadratic formula given by:

$f(x) = ax^2 + bx + c$

On this case we see that a=1, b = -4 and c =3

We can find the discriminat with the following formula:

$\sqrt{b^2 -4ac}$

$b^2 -4ac = (-4)^2 -4(1)*(3)= 4 >0$ So we have two real solutions

2. 2n^2 + 7 = −4n + 5

We can rewrite the expression like this:

$2n^2 +4n +2$

On this case we see that a=2, b = 4 and c =2

We can find the discriminat with the following formula:

$\sqrt{b^2 -4ac}$

$b^2 -4ac = (4)^2 -4(2)*(2)= 0$ So we just one real solution

3. x − 3x^2 = 5 + 2x − x^2

We can rewrite the expression like this:

$2x^2 +x +5$

On this case we see that a=2, b = 1 and c =5

We can find the discriminat with the following formula:

$\sqrt{b^2 -4ac}$

$b^2 -4ac = (1)^2 -4(2)*(5)= -19$ No real solutions

4. 4x + 7 = x^2 − 5x + 1

We can rewrite the expression like this:

$x^2 -9x -6$

On this case we see that a=1, b = -9 and c =-6

We can find the discriminat with the following formula:

$\sqrt{b^2 -4ac}$

$b^2 -4ac = (-9)^2 -4(1)*(-6)= 105 >0$ So we have two real solutions

8 0

4 years ago

If P = (-2,-1) and Q = (4,3) are the

Ivanshal [37]

Answer:

Step-by-step explanation:

P(-2,-1) and Q(4,3)

average of x-coordinates = (-2+4)/2 = 1

average of y-coordinates = (-1+3)/2 = 1

midpoint of PQ: (1,1)

distance between midpoint and Q = √((4-1)²+(3-1)²) = √13

(x-1)² + (y-1)² = 13

3 0

3 years ago

Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −3/4?

djverab [1.8K]

Lime m is neither because it does not have the opposite reciprocal nor same slope.
Line n is perpendicular because it has the opposite reciprocal.
Line p is neither because it does not have the opposite reciprocal nor same slope.
Line q is parallel because it has the same slope.

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4 years ago

What does 2 m 36 cm equal in mm?

marishachu [46]

Answer:12

Step-by-step explanation:

12w

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3 years ago