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3 years ago

Which linear inequality is represented by the graph?

Mathematics

1 answer:

Romashka [77]3 years ago

7 0

Answer:

1/3 is the slope and if it’s less than or greater to that, then the bottom half of the graph is shaded in.

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Supposed the population of deer in a region was 3,500 in the year 2000.since then population has grown by 3.5% annually. What wi

sergejj [24]

Y = a (b^x)

1) x = 0, y = 3500

=> 3500 = a (b^0)

=> 3500 = a (1)

=> a = 3500

2) growth percent = 3.5% => growth rate = 1.035 = b

=> y = 3500 (1.035)^ x

3) year 2020 => x = 2020 - 2000 = 20

4) y = 3500 (1.035)^ 20 = 6964

Answer: 6964.

3 0

3 years ago

PLS HELP ME !!!! The last one is (x+2)^2 + (y-1) ^2 = 12

ladessa [460]

Answer:

its the first one or the last one

Step-by-step explanation:

i got the same thing on the graph sry

7 0

3 years ago

Please help me with these questions

Scrat [10]

3. Answer: y = 4

Step-by-step explanation:

Need to find the slope (m):

$\dfrac{y_2-y_1}{x_2-x_1}$

$\dfrac{4 - 4}{-3-1}$

= $\dfrac{0}{-4}$

= 0

Now input ONE of the points (1, 4) and the slope (m = 0) into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - 4 = 0(x - 1)

y - 4 = 0

y = 4

********************************************************************

4. Answer: $\bold{y = \dfrac{2}{3}x + 3}$

Step-by-step explanation:

$y - y_1 = m(x - x_1)$

$y - 1 = \dfrac{2}{3}(x - (-3))$

$y - 1 = \dfrac{2}{3}(x + 3)$

$y - 1 = \dfrac{2}{3}x + 2$

$y = \dfrac{2}{3}x + 3$

3 0

3 years ago

Thompson down the street from his home to Cameron's house. Along the way, he stopped at a bake to pick up cupcakes. if he began

andrew11 [14]

Trip for 7)7 9/4 7 is 7

8 0

3 years ago

How to I make 3x+6y=18 into y=my+b

kirza4 [7]

Answer:

Step-by-step explanation:

3x+6y=18

Geometric figure: Straight Line

Slope = -1.000/2.000 = -0.500

x-intercept = 6/1 = 6.00000

y-intercept = 6/2 = 3

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x+6*y-(18)=0

Step by step solution :

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

3x + 6y - 18 = 3 • (x + 2y - 6)

Equation at the end of step 1 :

Step 2 :

Equations which are never true :

2.1 Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2 Solve x+2y-6 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+2y-6 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000

y-intercept = 6/2 = 3

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000

x-intercept = 6/1 = 6.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.000 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 3.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -1.000/2.000 = -0.500

Geometric figure: Straight Line

Slope = -1.000/2.000 = -0.500

x-intercept = 6/1 = 6.00000

y-intercept = 6/2 = 3

3 0

3 years ago