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andrezito [222]
3 years ago
15

Is (6,7) a solution to the inequality 15x+11y>12

Mathematics
2 answers:
astra-53 [7]3 years ago
8 0

Answer:

(6,7) is a solution

Step-by-step explanation:

To determine if (6,7) is a solution, we substitute the point in and see if the inequality is true

15x+11y>12

15(6) + 11(7) >12

90+77 > 12

167>12

This is true so (6,7) is a solution

Aleksandr [31]3 years ago
6 0

The point (6,7) means that x = 6 and y = 7 pair up together. Let's plug them into the inequality.

15*x + 11*y > 12

15*6 + 11*7 > 12 ... replace x with 6, y with 7

90 + 77 > 12

167 > 12 ... this inequality is true since 167 is larger than 12

Because the last inequality is true, this means the first inequality is true when (x,y) = (6,7).

Therefore, (6,7) is a solution to the inequality.

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Write a polynomial function, p(x) with degree 3 that has p(7)=0
MArishka [77]

Answer:

p (x) = x^{3} - 21x^{2}+ 147x - 343

is the required polynomial with degree 3 and p ( 7 ) = 0

Step-by-step explanation:

Given:

p ( 7 ) = 0

To Find:

p ( x ) = ?

Solution:

Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.

Therefore zero's of the polynomial is seven i.e 7

Degree : Highest raise to power in the polynomial is the degree of the polynomial

We have the identity,

(a -b)^{3} = a^{3}-3a^{2}b +3ab^{2} - b^{3}

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Substitute in the identity we get

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3 years ago
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Answer:

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∠ T is the inscribed angle of the arc RS.

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