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2 years ago

Which of the following statements is true about the graph and the shading of the inequality

Mathematics

1 answer:

andreyandreev [35.5K]2 years ago

6 0

Answer:

The graph is a solid line, and the shading is above the line.

Step-by-step explanation:

Given

$x + y \ge 1$

Required

Describe the graph of the inequality

We have:

$x + y \ge 1$

Subtract x from both sides

$y \ge 1-x$

The sign $\ge$ implies that the graph has a solid line

The sign $\ge$ which means greater than or greater also implies that the upper region is shaded

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Predict the missing component of each reaction.

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In the first equation, it's H20 but the second is B

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2 years ago

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Two years ago, Erin was 35 inches tall. To ride the roller coaster at a theme park, she must be at least 42 inches tall. If she

luda_lava [24]

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In two years erin grew 7 inches

Step-by-step explanation:

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A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist

Aneli [31]

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of $x^2$ is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

$y= -x^2 + 2x + 3$

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, $x=-\dfrac{b}{2a}$

$x=-\dfrac{2}{2*-1}\\x=1$

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

$y(1)= -1^2 + 2(1) + 3=-1+2+3=4m$

The maximum height of the diver is therefore 4 meters.

8 0

3 years ago

Hii can someone help with this pls :)

BlackZzzverrR [31]

Answer:

$R(x,y) = (0.8,-1.2)$

Step-by-step explanation:

The coordinates of QS are:

$Q(x_1,y_1) = (-2,-6)$

$S(x_2,y_2) = (5,6)$

The ratio is represented as:

$R_{m:n} = 2:3$

Required

Find the coordinates of R

The coordinates of R is calculated by:

$R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})$

Substitute values for m, n, x's and y's

$R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})$

$R(x,y) = (\frac{4}{5},\frac{-6}{5})$

$R(x,y) = (0.8,-1.2)$

<em>None of the options is correct</em>

6 0

2 years ago

If employment is expected to increase by 14.8% between 01/2009 and 01/2016 and the employees number 19, 100 in 01/2009, how many

AlexFokin [52]

Based on the rate of increase, the number of employees that will be there in 2016 is<u> 21,927 people.</u>

<h3>Number of employees in 2016</h3>

This can be calculated by the formula:

= Employees in 2009 x ( 1 + rate of increase)

Solving gives

= 19,100 x (1 + 14.8%)

= 21,926.8

= 21,927 people

In conclusion, there will be 21,927 people in 2016.

Find out more on rates of increase at brainly.com/question/3040628.

3 0

2 years ago