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VLD [36.1K]
3 years ago
14

A direct variation function obtains the points (-8,-6) and (12,9). Which equation represents the function

Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0
We know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or
With the point 1 or the point 2 find the value of the constant k
Point 1 (-8,-6)
x=-8
y=-6
substitute
y/x=k
-6/-8=k
k= 3/4

therefore
the equation is
y= 3/4x
the answer is the option
y= 3/4x
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What is the smallest 6 digit palindrome that is divisible by 99
Scorpion4ik [409]

Answer:

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Step-by-step explanation:

<u>6-digit palindrome is the number n the form of:</u>

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<u>This is divisible by 11 by default as the sum of the digits in odd placed is same as sum of the number in even places (remember the divisibility rule by 11):</u>

  • x + z + y = y + z + x

Now, in order to be divisible by 99, the number must be divisible by 11 and 9.

According to divisibility rule by 9 the sum of all digits must be divisible by 9. <u>You can see In our case we need to have (the minimum):</u>

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<u>The smallest number we could get is when x is minimum, y is minimum, so:</u>

  • x = 1, y = 0, then y = 8

<u>The number we get is:</u>

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<u>Proof:</u>

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4 0
2 years ago
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Please fill out the questions on the right, i will do the graph
valkas [14]

Answer:

Step-by-step explanation:

for the first one is

Domain:

(−∞,∞),{x|x∈R}

Range:  

(−7,∞),{y|y>−7}

Horizontal Asymptote:

y=−7

y-intercept(s):  

(0,−6)

the second one is

y-intercept(s):

(0,8)

Horizontal Asymptote:

y=2

Domain:

(−∞,∞),{x|x∈R}

Range:  

(2,∞),{y|y>2}

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Answer:

$5.80

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Lisa an experienced shipping​ clerk, can fill a certain order in 7 hours. ​bill, a new​ clerk, needs
OLga [1]

Answer:

3.73 hours

Explanation:

In 1 hour, Lisa does 1/7th of the order while Bill does 1/8th of the order in an hour. To find out how long it will take them to fill the order, we have to:

Step 1:

Add the rate of both Lisa and Bill together

1/7 + 1/8

Step 2:

Since both denominators of the fractions are different, you have to find the least common multiple of 7 and 8

7·8= 56    8·7= 56

which is 56.

Step 3:

Then, you have to multiply the numerator of 1/7 with 8 and the numerator of 1/8 with 7.

1·8= 8    1·7= 7

The fractions would now have equal denominators:

Lisa: 8/56    Bill: 7/56

Step 4:

Now, you can add them together

8/56 + 7/56

which equals to 15/56. Both Lisa and Bill together completes 15/56th of the order in 1 hour.

Step 5:

15/56 is not the final answer as it is the RATE of them working together. To find how long it will take them total to complete the order, you must divide 56 with 15.

56/15

which is 3.73 hours in decimal form (rounded).

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