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3 years ago

Match each pair of points to the equation of the line that is parallel to the line passing through the points.

Mathematics

1 answer:

Tanya [424]3 years ago

4 0

If we identify the lines by ...
1. y = -0.5x -3
2. y = -3.5x -15
3. y = 5x +19
4. y = 1.25x +4

Then the matches are ...
BC - 2
DE - 1
FG - none
HI - 4
JK - none
LM - 3

_____
Whenever there is a lot of repetitive math to do, I usually find it easier to let a calculator or spreadsheet do it. Here, the graphing calculator is computing the slope between the points. The slopes of parallel lines are the same.

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F(x) = 4x2 + 5x - 3<br> g(x) = 4x3 – 3x2 + 5<br> Find (f - g)(x).

Ludmilka [50]

Answer:

$-4x^3 + 7x^2 + 5x - 8$

Step-by-step explanation:

$(f-g)(x) = f(x) - g(x) = [4x^2 + 5x -3] - [4x^3 - 3x^2 + 5]$

$= 4x^2 + 5x - 3 -4x^3 + 3x^2 - 5 = -4x^3 + 7x^2 + 5x - 8$

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3 years ago

Turn 25/4 into a mixed number

horsena [70]

Mixed number is 6 1/4

3 0

3 years ago

Write the linear equation in slope intercept form that passes through the given slopes (1,3) and (-3,-5)

Dimas [21]

Answer:

y = -3x

Step-by-step explanation:

The standard expression of equation of a line in slope-intercept form is expressed as;

y = mx+c

m is the slope

c is the intercept

Given

slope m = -3

Point (x, y) = (-1, 3)

x = -1 and y = 3

Get the intercept

To get the intercept c, we will substitute the given values into the equation above to have;

y = mx+c

3 = -3(-1)+c

3 = 3 + c

c = 3-3

c = 0

Substitute m = -3 and c = 0 into the equation above;

y = mx+c

y = -3x+0

y = -3x

Hence the required linear equation is y = -3x

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Please hurry 14PTS 3 QUESTIONS

goldfiish [28.3K]

Answer:

a) 1/6 b) 0.11

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event/Total outcome

If a two six-sided number cubes are rolled e.g 2dice, the total number of sample space is expressed as 6^n where n is 2(since only 2 six sided cubes are rolled)

Total outcome of event = 6² = 36

If sum of 7 are generated after rolling, the expected outcome will be:

E = {(1,6),(6,1),(2,5),(5,2),(3,4),(4,3)}

Note that each of the list will given a sum of 7

Total expected outcome = 6

Probability that a sum of 7 is rolled

= 6/36

= 1/6

b) Similarly, if a product of 12 is rolled, the expected outcome of event are:

E = {(2,6),(6,2),(3,4),(4,3)}

Expected outcome = 4

Note that the product of each outcome will give us 12.

Probability that a product of 12 is rolled = 4/36

= 1/9

= 0.11 (to nearest hundredth)

3 0

3 years ago

Use the function below to find f(-2).<br> Help pls..

xenn [34]

Answer:

1/25

Step-by-step explanation:

f(x) = 5^x

f(-2) = 5^-2

We know that a^-b = 1/a^b

= 1/5^2

= 1/25

4 0

3 years ago