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Tpy6a [65]
3 years ago
12

4. Write the equation of the line that passes through the point (2, -1) and has a slope of -3.

Mathematics
1 answer:
RSB [31]3 years ago
7 0
The answer is y=-3x+5. Work shown below in the pic

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Use the binomial theorem to show that 7^n + 2 is divisible by 3, where n is a positive integer.
masha68 [24]

By the binomial theorem,

7^n=(6+1)^n=6^n+n6^{n-1}+\dbinom n26^{n-2}+\cdots+\dbinom n{n-2}6^2+n6^1+1

Each term containing a factor 6 is divisible by 3, since 3 divides 6. The remaining 1 and 2 sum to 3, which is also divisible by 3.

7 0
3 years ago
-1.1x + 8.1x + 38 = -32
Setler79 [48]

X = -10

Explanation:

-1.1x + 8.1x + 38 = -32

Combine like terms : -1.1x + 8.1x

7x + 38 = -32

Subtract 38

7x = -70

Divide by 7

7x = -70/7

Answer:

x = -10

8 0
2 years ago
Read 2 more answers
Bailey bought a lawnmower for $600. The value of the lawnmower depreciates 2% every year. What is the value of the lawnmower aft
givi [52]

Answer:

$542

Step-by-step explanation:

we know that

The equation of a exponential decay function is given by

y=a(1-r)^x

where

y is the value of the lawnmower

x is the time in years

a is the initial value

r is the rate of change

we have

a=\$600\\r=2\%=2/100=0.02

substitute

y=600(1-0.02)^x

y=600(0.98)^x

For x=5 years

y=600(0.98)^5=\$542

8 0
3 years ago
I NEED HELP...finding the slope-intercept form equation
Simora [160]

Answer: y=-13/12x-7

Step-by-step explanation:

To find the slope-intercept form, we first need to find the slope. To find the slope, you use the formula m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }. We use the two given points to find the slope.

m=\frac{32-6}{-36-(-12)} =\frac{26}{-24} =-\frac{13}{12}

Now that we have our slope, we can start filling out the slope-intercept form equation.

y=mx+b

y=-13/12x+b

Since we don't know the y-intercept, we can use one of the given points and solve for b.

6=(-13/12)(-12)+b                              [multiply (-13/12) and -12]

6=13+b                                              [subtract both sides by 13]

b=-7

With the y-intercept, we can complete our equation.

y=-13/12x-7

4 0
3 years ago
I need help please :)
Mice21 [21]

Answer:

Um sorry if its wrong but I think its that it gets bigger as you go on.

Step-by-step explanation:

8 0
3 years ago
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