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3 years ago

Write the equation of a line that has a slope of 3 and goes through the point

Mathematics

1 answer:

kkurt [141]3 years ago

5 0

Answer:

y = 3x - 5

Step-by-step explanation:

You use the equation y = mx + b, and you plug in what you know. The slope is already 3 so you do y = 3x + b

after that, you plug in y and x, because (2,1) are the values of x and y.

1 = 3(2) + b

1 = 6 + b

subtract 6 from both sides to isolate the b

-5 = b

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3 years ago

Read 2 more answers

Write the equation of a line that has a slope of -3 and goes through the point (5,7).

ss7ja [257]

Answer:

The equation of the line would be D) y - 7 = -3(x -5)

Step-by-step explanation:

In order to find this, we must first start with the base form of point-slope form.

y - y1 = m(x - x1)

Now we put the slope in for m and the point in for (x1, y1)

y - 7 = -3(x - 5)

6 0

3 years ago

In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard dev

Paha777 [63]

Answer:

0.3114

Option d is right

Step-by-step explanation:

Let X be the time spent on a treadmill in the health club

Given that research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes

Also given that X is normal

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.

$= P(30$

round off to two decimals tog et

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill is 0.31

Hence option d is right

3 0

3 years ago

Mr. Anders was three times as old as Kate 5 years ago. Their total age now is 42 years. How old is Kate now?

katrin [286]

We can write this as two equations. Call Mr. Anders' age A and Kate's age K:
$A-5=3(K-5)$
$A+K=42$

Then solve for A in the second equation:
$A=42-K$

Substitute this into the first equation:
$(42-K)-5=3(K-5)$
$-K+37=3K-15$
$52=4K$
$K=13$

6 0

3 years ago

Please help!<br><br>4^x*5^y=20, 4^y*5^x=20^2, x+y=?

photoshop1234 [79]

Answer:

x + y are either 2 or 4

Step-by-step explanation:

conclusion x + y = 2 OR 4

7 0

3 years ago