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pav-90 [236]
3 years ago
10

What is the Linear Function?

Mathematics
1 answer:
MatroZZZ [7]3 years ago
7 0

Answer: y = -0.2x + 1

Step-by-step explanation: Find the y intercept (b) and then find the slope (m) and use the equation y = mx + b.

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Line k contains the points (-4,0) and (3,2). line m contains the points (-3,2) and (4,0). if line k is written in the form y=m1x
Misha Larkins [42]

Answer:

0

Step-by-step explanation:

(-4,0) and (3,2)

m1=(2-0)/(3+4)=2/7

y=2/7x+b1, using point (-4,0) to find b1 (substitute x=-4 and y=0 in the form)

0=2/7*(-4)+b1 ⇒ b1= 8/7

-----

(-3,2) and (4,0)

m2=(0-2)/(4+3)= -2/7

y= -2/7x+b2, using point (4,0) to find b2 (substitute x=4 and y=0 in the form)

0= -2/7*4+b2 ⇒ b2=8/7

----

m1b2+m2b1= 2/7*8/7 -2/7*8/7=0

7 0
3 years ago
Box A has a volume of 64 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were divided by 2. What is
qwelly [4]

Answer:

8 m3

Step-by-step explanation:

Since Box A has a volume of 64 cubic meters, that means each side length is 4 m3. It says to make Box B, they divided these lengths by 2. With that info, you get 8 as your volume

6 0
2 years ago
You know of a relative who is addicted to pain killers. Due to his history, 2.3g of Tylenol per day is dangerous. He takes 200 m
Nezavi [6.7K]

Answer: So, your relative takes N tablets each 6 hours. a day has 24 hours, and 24/6 = 4, so he takes N tablets 4 times per day, so he takes 4*N tablets.

each tablet has 200mg, and 2.3 g (or 2300 mg) is toxic.

this means that 4*N*200mg must be less than 2300, if we are seeking for the maximum N possible, then:

4*N*200mg = 2300mg

4*N = 2300/200 = 11.5

N = 11.5/4 = 2.87

if you round up this number, you will end up taking more than 2.3g of tylenol per day, this implies that N must be equal to 2.

So your relative needs to take maximum 2 tablets per day.

7 0
2 years ago
Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?. .
Andru [333]

Let

n-------> the number of nickels

q------> the number of quarters

we know that

1\ quarter=\$0.25\\1\ nickel=\$0.05

so

0.05n+0.25q=1.60 ----> equation A

q=3n ----> equation B

substitute equation B in equation A

0.05n+0.25[3n]=1.60

0.05n+0.75n=1.60

0.80n=1.60

n=2

Find the value of q

q=3*2=6

therefore

<u>The answer part a) is</u>

the number of nickels are  2  and the number of quarters are 6

<u>the answer Part b) is</u>

The expressions that represents the number of quarters is

q=3n


5 0
3 years ago
Read 2 more answers
How does f(x) = 5x change over the interval from x = 7 to x = 8?
hichkok12 [17]

Answer:

the slope is 5

Step-by-step explanation:

f(x) = 5x

f(8) = 5(8) = 40    (8,40)

f(7) = 5*7 = 35 (  7,35)

the slope is 5


4 0
3 years ago
Read 2 more answers
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