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timurjin [86]
3 years ago
5

Find the gradient of the line Joining the points p(-2,6) and Q(3,-2)​

Mathematics
1 answer:
Rudiy273 years ago
7 0

Answer:

-  \frac{8}{5}

Step-by-step explanation:

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

(x₁, y₁) is the 1st coordinate while (x₂, y₂) is the 2nd coordinate.

Gradient of the line

=  \frac{6 - ( - 2)}{ - 2 - 3}

=  \frac{6 + 2}{ - 5}

=   - \frac{8}{5}

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In an ordinary annuity, payments or
Elza [17]
B. End of each period
7 0
3 years ago
13. Write a rule for the linear function in the table.
dalvyx [7]

Answer:

(x)= 2, 5, 8, 11

Use the formula  

a n  =  a 1  +  d  ( n  −  1 )

to identify the arithmetic sequence.

a n  =  3 n  −  1

f(x)= 5, 11 17, 23

Use the formula  

a n  = a 1  +  d  ( n − 1 )

to identify the arithmetic sequence.

a n  =  6n  −  1

x      f(x)

2      5

5      11

8      17

11      23

Nothing further can be done with this topic. Please check the expression entered or try another topic.

2 ,   5 ,   8 ,   11  

5 ,   11 ,   17 ,   23

Step-by-step explanation:

Write a rule for the linear function in the table.

x;     f(x)

2      8

5     17

5      11

11    23

A; f(x) = x + 5

B;f(x) = x + 1

C;f(x) = 2x + 1

D;f(x) = –2x – 1

If all your solutions are  

A; f(x) = x + 5

B;f(x) = x + 1

C;f(x) = 2x + 1

D;f(x) = –2x – 1

None of the above will work with the data set you have presented.

4 0
2 years ago
The graph of the function f(x)=-|5x| is translated 3 units up. Write the equation of the transformed function.
bija089 [108]

Answer:

f(x) = -|5x|+3

Step-by-step explanation:

When doing transformations that go up or down, the number always goes all the way on the right, separate from the x. When its being translated up its positive, when its being translated down, its negative.

4 0
3 years ago
What is the sale tax for a purchase of $2,500 and what is the cost of an item with a sales tax of $108?
Andrews [41]

Answer:

<em>4.32%</em>

Step-by-step explanation:

Step 1:

To solve this, we must know how to find sales tax first. Let's use this equation:

t = p × r

Let t stand for the total amount of sales tax

Let c stand for the purchase

Let r stand for the sales tax rate.

Step 2:

Now, let us plug in what is given. We know that the purchase made cost $2,500:

t = $2,500 x r

Annddd, we also know that the sales tax is $108:

$108 = $2,500 x r

Therefore, our equation is:

$108 = $2,500 x r

Step 3:

We can simplify this to:

$108 = $2,500r

Step 4:

All we need to do is divide each side by 2500 because the goal is get r all by itself

\frac{108}{2500} =\frac{2500r}{2500}

Step 5:

This gives us:

r = 0.0432

Step 6:

We're not done! Since we are dealing with a percentage, we would multiply .0432 by 100% and that gives us our final answer of


4.32% is our sales tax


5 0
3 years ago
In need of help! find the value of x
DaniilM [7]
∆= 180°
180°-(62°+58°)= ?
180°-120°=60°

a line = 180° on both sides.
180°-60°=X
120°=X
3 0
3 years ago
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