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dalvyx [7]
3 years ago
12

What is the gradient of the graph shown

Mathematics
1 answer:
devlian [24]3 years ago
5 0

The gradient of the graph is 2.

Solution:

Let the points on the graph are (-2, 0) and (0, 4).

Here x_1=-2, y_1=0, x_2=0, y_2=4.

Gradient of the graph:

$\text{Gradient }= \frac{y_2-y_1}{x_2-x_1}

               $= \frac{4-0}{0-(-2)}

               $= \frac{4-0}{0+2}

               $= \frac{4}{2}

Cancel the common terms, we get

Gradient = 2

The gradient of the graph is 2.

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A player kicks a soccer ball off of the ground. The height of the ball is modeled by the equation h(t)=-\frac34\left(t-4\right)^
Aneli [31]

Answer:

Step-by-step explanation:

We can solve this in either of two approaches:  Mathematically or Graphically.

<u>Mathematically</u>

y=-(3/4)(x-4)^2+12  where y is the height of the ball, and x is the time, in seconds.

We want to know how many seconds for the height to be 0, so y=0.

0 = -(3/4)(x-4)^2+12

-12 = -(3/4)(x-4)^2

12*(4/3) = (x-4)^2

16 = (x-4)^2

x = 8 and 0 (the initial point).]

It will reach the ground in 8 seconds

<u>Graphically</u>

Plot the function and find the time, x, when the graph passes through the x axis (after t = 0).  Attached.

6 0
2 years ago
A father of 12 at death orders his lawyer to share his properties amongest his 12 sons. if the man is worth 12.3 million, and ea
GuDViN [60]

Answer:

Step-by-step explanation:

The man has twelve sons. So we need an equation that has twelve numbers added to 12.3 million.  The youngest son's share is what we want to find, so set it to x.  Each son older will have 175 more than the one younger than him.

So the next to youngest will have x+175(1) and the next will have x+175(2) and so on to the twelfth one.

So....

     

x + x+175 + x+175(2) + x+175(3) + x+175(4) + x+175(5) + x+175(6) + x+175(7) + x+175(8) + x+175(9) + x+175(10) + x+175(11) = 12,300,000

Now simplify.  Add all the x's and multiply all the numbers.

12x + 350+525+700+875+1050+1225+1400+1575+1750+1925+2100=12,300,000

Continue to simplify by adding.

12x+13,475=12,300,000   Now simplify by subtracting the non 'x' number from both sides

12x+13,475-13,475=12,300,000-13,475

12x=12,286,525  Now simplify by dividing both sides by 12.

x = 1,023,877.08

The youngest son will inherit 1,023,877.08.

There should be a unit:$, pounds, something.

8 0
3 years ago
Graph y= - x - 6 on a graph
iogann1982 [59]

Answer:

(Picture below)

Step-by-step explanation:

To solve this you will first need to make a coordinate plane that is 10 by 10.

After you have done that you will need to know what slope intercept form is. Slope intercept form is y=mx+b and the equation that was given was y=-x-6. In the formula y=mx+b, m is the slope or rise over run and b is where the line crosses the y axis.

Now that you know the basics of slope intercept form we can start graphing. so b in this equation is -6, so we will put the first point on -6. after we have done that we can start putting the points of the line. So since the slope is just -1x  we will have to go down one and go to the right one about 3 times and just to finish it up go up and left on 3 times to. And there you have it.

5 0
4 years ago
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A local appliance store advertised a “10% off sale” on ovens. Mrs. Jones found an oven she liked that cost $560 before the sale.
KIM [24]

Answer:

504 dollares 56 dollars off

Step-by-step explanation:

3 0
3 years ago
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HELP ASSAP WITH THIS QUESTION!!!!!!
ch4aika [34]
C makes no sense because it is not equal to 372
AB make no sense since it is supposed to be 2x not 2y
D is the only reasonable answer.
6 0
3 years ago
Read 2 more answers
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