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larisa [96]
4 years ago
13

Solve y=3x-6 using the slope intercept form

Mathematics
1 answer:
lys-0071 [83]4 years ago
3 0

Answer:

x | y

1 | -3

2 | 0

Step-by-step explanation:

Any line can be graphed using two points. Select two  x  values, and plug them into the equation to find the corresponding  y  values.

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If log2 5 = k, determine an expression for log32 5 in terms of k.
lukranit [14]

Answer:

log_3_2(5)=\frac{1}{5} k

Step-by-step explanation:

Let's start by using change of base property:

log_b(x)=\frac{log_a(x)}{log_a(b)}

So, for log_2(5)

log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)

Now, using change of base for log_3_2(5)

log_3_2(5)=\frac{log(5)}{log(32)}

You can express 32 as:

2^5

Using reduction of power property:

log_z(x^y)=ylog_z(x)

log(32)=log(2^5)=5log(2)

Therefore:

log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)

As you can see the only difference between (1) and (2) is the coefficient \frac{1}{5} :

So:

\frac{log(5)}{log(2)} =k\\

log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k

6 0
3 years ago
Which line represents the direct variation equation y = 1/2x?
Verdich [7]

Answer:

C.

Step-by-step explanation:

y = 1/ x must pass through the origin because when x = 0, y = 0.

So its either B or C.

A positive slope rises to the right ( 1/2  is positive), so its C.

You can also see that the slope of C is 1/2 because it passes through the points (0.0) and (2, 1).

7 0
3 years ago
Read 2 more answers
The difference of two numbers is 15.The larger number is 1 more than 3 times the smaller number. Find the two numbers
lisabon 2012 [21]

Answer:

Step-by-step explanation:

2) let the two numbers be x and y

x-y =15

(taking x to be big)

x = 3 (y)+1

i.e. x-3y =1

Subtracting we get

2y =14 or y =7

x =15+7 =22

Larger number is 22 and smaller number is 7

-----------------------------------

Alysha is 2 years younger than Bryce/

Let Alysha be x years old then Bryce would be x+2

Sum of their ages

=x+x+2 =28

2x+2 =28

2x=26

x=13

Hence Alysha is 13 years old and Bryce 14 years old.

5 0
4 years ago
Cody started biking to the park traveling 15 mph, after some time the bike got a flat so Cody walked the rest of the way, travel
vovangra [49]

Answer:

2  hours at 15mph

4 hours at 4mph

Step-by-step explanation:


3 0
3 years ago
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padilas [110]
nshsu1273 Rowe 2827
5 0
3 years ago
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