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Misha Larkins [42]
3 years ago
7

Explain the steps for writing an equation of a line that passes through (4,7) and has a slope of 1/2

Mathematics
1 answer:
Marat540 [252]3 years ago
8 0

Answer:

The equation would be y = 1/2x + 5

Step-by-step explanation:

To find this equation, we start by using point slope form, and then plugging the slope in for m and the point in at (x1, y1).

y - y1 = m(x - x1)

y - 7 = 1/2(x - 4)

And now we solve for y.

y - 7 = 1/2(x - 4)

y - 7 = 1/2x - 2

y = 1/2x + 5

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The value of a car with an initial purchase price of $15,250 depreciates by 16% per year. How much is the car worth after 6 year
Scrat [10]

Answer:

$13842.43

Step-by-step explanation:

Given data

Value of car=$15,250

Rate of depreciation= 16%

Time = 6 years

We can use the exponential function below to model the value of the car after 6 years

v(t)= a(r)^x

But r= 1-0.016----------Because the value is depreciating

a=15,250  

r=0.016  

x=6

Substitute

v(t)= 15250(1-0.016)^6

v(t)=  15250(0.984)^6

v(t)=  15250*0.9077

v(t)= $13842.43

Hence the value will be $13842.43 after 6 years

8 0
2 years ago
PLEASE HELP ASAPPP !!! WILL GIVE BRAINLIEST AND 5 STAR RATING
natta225 [31]

Answer:

1/3

Step-by-step explanation:

4 0
1 year ago
A team of 17 softball players need to choose three players to refill the water cooler. How many different ways are there to sele
KATRIN_1 [288]
<h3>Answer: 680 different combinations</h3>

=======================================================

Explanation:

If order mattered, then we'd have 17*16*15 = 4080 different permutations. Notice how I started with 17 and counted down 1 at a a time until I had 3 slots to fill. We count down by 1 because each time we pick someone, we can't pick them again.

So we have 4080 different ways to pick 3 people if order mattered. But again order doesn't matter. All that counts is the group itself rather than the individual or how they rank. There are 3*2*1 = 6 ways to order any group of three people, which means there are 4080/6 = 680 different combinations possible.

An alternative is to use the nCr formula with n = 17 and r = 3. That formula is

_n C _r = \frac{n!}{r!*(n-r)!}

where the exclamation marks indicate factorials

5 0
3 years ago
Need help don’t know what I’m doing
docker41 [41]
This problem mean you have to find the point that the Domain and Range is suit (I'm sorry English is my second language) 
Example:
1) G ; 2) Y
If you want me to do the rest of it tell me Okay ^^

8 0
2 years ago
An ice skater practiced for 18 hours last week. In that time, she did 306 jumps. On the average, how many jumps did she try per
Kaylis [27]

Answer:

17

Step-by-step explanation:

306/18=17

3 0
3 years ago
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