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Lana71 [14]
3 years ago
11

What is the point-slope form of a line that has a slope of -4 and passes through point (-3, 1)?

Mathematics
1 answer:
andrew11 [14]3 years ago
3 0

Answer:

B. y - 1 = -4[x - (-3)]

Step-by-step explanation:

Given:

Slope = -4

Point = (-3, 1)

Required:

Point-slope form of the line

Solution:

Equation of a line in Point-slope form is given as y - b = m(x - a).

Where,

a = -3

b = 1

m = -4

Plug in the values

y - 1 = -4[x - (-3)]

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How many positive integers $n$ from 1 to 5000 satisfy the congruence $n \equiv 5 \pmod{12}$?
irga5000 [103]
The equivalence n \equiv 5 \pmod{12}

means that n-5 is a multiple of 12.

that is

n-5=12k, for some integer k

and so

n=12k+5


for k=-1, n=-12+5=-7

for k= 0, n=0+5=5 (the first positive integer n, is for k=0)


we solve 5000=12k+5 to find the last k

12k=5000-5=4995

k=4995/12=416.25

so check k = 415, 416, 417 to be sure we have the right k:

n=12k+5=12*415+5=4985

n=12k+5=12*416+5=4997

n=12k+5=12*417+5=5009


The last k which produces n<5000 is 416


For all k∈{0, 1, 2, 3, ....416}, n is a positive integer from 1 to 5000,

thus there are 417 integers n satisfying the congruence.


Answer: 417

6 0
3 years ago
Which of the following equations matches the function shown above
Mnenie [13.5K]

Answer:

where is the function? where are the equations?

7 0
3 years ago
Consider a function that describes how a particular car’s gas mileage depends on its speed. What would be an appropriate domain
natta225 [31]
Domain are x values (independent variable);

Speed would be independent so what speeds can be used ? -30 mph, 30 mph, 1000 mph?

Can a car go 0 mph?

What is realistic?

I would say 0 greater or equal to x greater than whatever you think is beyond the max that a car can go.
8 0
3 years ago
Read 2 more answers
Please help, need an answer ASAP!
Shtirlitz [24]

Answer:

6, -7

Step-by-step explanation:

when I followed those instructions, that's what i got.

:)

6 0
3 years ago
The regular price of a baseball bat is $38.20. The baseball bat is on sale for %20 off the regular price. Josef has a coupon for
Aleksandr-060686 [28]

Answer:

$27.5

Step-by-step explanation:

Other solution

38.2 X 0.8 = 30.56 (20% off)

30.56 X 0.9 = 27.504 (Another 10% off)

6 0
2 years ago
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