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Novosadov [1.4K]
3 years ago
14

What is the slope-intercept form of the function described by this table?

Mathematics
1 answer:
marta [7]3 years ago
3 0
For every change of x by 1, y increases by 5.

So the gradient of the line is 5.

To find the y-intercept:

y = mx + c
2 = 5(1) + c
2 = 5 + c
c = -3

So the equation of the line is y = 5x - 3
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A positive integer is 15 less than another. If 4 times the reciprocal of the smaller integer is subtracted from the reciprocal o
NemiM [27]
Translate the info given into equations:

<span>A positive integer is 15 less than another   -----> x = y - 15

</span><span>If 4 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer, then the result is − 3/4
</span>------> (1/y) - (4/x) = -3/4

Use substitution, replace 'x' with 'y-15' in 2nd equation

\frac{1}{y} - \frac{4}{y-15} = -\frac{3}{4} \\  \\ \frac{ (y-15)-4y}{y(y-15)}=-\frac{3}{4} \\  \\ 4(-3y-15) = -3y(y-15) \\  \\ -12y -60 = -3y^2+45y \\  \\ 3y^2-57y-60 = 0 \\  \\ y^2-19y -20 =0 \\  \\ (y-20)(y+1) = 0 \\  \\ y = 20,y=-1

We know that both x and y must be positive integers, so y =-1 is not a solution.

If y=20, then x = 20-15 = 5

Final answer:
The pair of integers is (5,20) 
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3 years ago
Which of the following are trinomials ​
Goryan [66]

Answer:

B and F

Step-by-step explanation:

Trinomials are polynomials with 3 terms

A has only one term → monomial

B has 3 terms → trinomial

C has 2 terms → binomial

D has one term → monomial

E has 2 terms → binomial

F has 3 terms → trinomial

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Find t(6) for the function t(n) = 0.009n.
creativ13 [48]
T(6) = 0.009 * 6 
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Exit A five-sided solid has the numbers 1, 2, 3, 4, and 5. What is the probability of rolling two five-sided number solids and g
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There are 5^2=25 possible outcomes when rolling two such solids.

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Identify a negative coterminal angle to 480°
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Step-by-step explanation:

here's the answer to your question

8 0
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