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3 years ago

Determine the intercepts of the graph described by the following linear equation y=6x+13

1 answer:

4 0

Xintercept is where the line crosses the x axis and where y=0
yintercept is where the line crosses the y axis and where x=0

so
xint is
0=6x+13
minus 13 oth sides
-13=6x
divide by 6
-13/6=x
xint is x=-13/6 or the point (-13/6,0)

yint
set x=0
y=6(0)+13
y=13
yiint is y=13, or the point (0,13)

xint is (-13/6,0)
yint is (0,13)

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Simplify the following ratios:

jenyasd209 [6]

A) 3:4
b) 2:7
c) 3.5
d) 2:3

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2 years ago

A swim meet has 13 contestants signed up for the 100-meter butterfly event. The first heat has 6 swimmers. How many different wa

tino4ka555 [31]

Answer:

6 swimmers in the first heat can be arranged in 1716 different ways.

Step-by-step explanation:

A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.

So to select 6 swimmers out of 13 contestants number of different ways

= $^{13}C_{6}$

= $\frac{13!}{(6!)(13-6)!}$

= $\frac{13\times 12\times 11\times 10\times 9\times 8\times 7!}{6!\times 7!}$

= $\frac{13\times 12\times 11\times 10\times 9\times 8}{6\times 5\times 4\times 3\times 2\times 1}$

= $\frac{1235520}{720}$

= 1716

Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.

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2 years ago

Show steps to <br> Solve -5^6

RSB [31]

Answer:

-15626

you just multiply -5 by itself 6 times

Step-by-step explanation:

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3 years ago

What is an equation of the line that passes through the points ( 0,-7) and ( 5, -1)

tresset_1 [31]

Answer:

y = 5/6x - 5.167

y = 5/6x - 31/6

Step-by-step explanation:

The equation of a line

y = mx + c

Step 1: find the slope

m = y2 - y1 / x2 - x1

Given points

( 0 , -7) ( 5 , -1)

x1 = 0

y1 = -7

x2 = 5

y2 = -1

Insert the values into the equation

m = -1 - (-7) / 5 - 0

m = -1 + 7 / 5

m = 6/5

y = 6/5x + c

Step 2: sub any of the two points given into the equation

y = 5/6x + c

( 5 , -1)

x = 5

y = -1

-1 = 5/6(5) + c

-1 = 5*5/6 + c

-1 = 25/6 + c.

c = -1 - 25/6

LCM = 6

c = -6 - 25 / 6

c = -31/6

c = -5.167

Step 3: sub c into the equation

y = 5/6x + c

y = 5/6x - 31/6

y = 5/6x - 5.167

The equation of the line is

y = 5/6x - 5.167

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3 years ago

Which will result in a diffrent of squares

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(− 7x + 4) · (− 7x − 4).

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