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Rashid [163]
3 years ago
14

Assume that y varies inversely with x. If y=9 when x=7, find y when x=2.

Mathematics
1 answer:
Aleks [24]3 years ago
4 0

Answer:1.56

Step-by-step explanation:

For constant of proportionality of k,

y=(1/k)*x

If y =9,

9=7/k

K=7/9=0.78

y=0.78x

y=0.78*2=1.56

When x

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According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
HACTEHA [7]

Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

f(x) = (3x² - 4x - 5)(2x⁶- 5)

When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

                                                     = 81x¹⁶

Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

f(x) = (4x² - 7)³

Leading term of the polynomial = (4x²)³

                                                    = 64x⁶

Degree of the polynomial = 6

Number of roots = 6

Option (4)

f(x) = (6x⁸ - 4x⁵ - 1)(3x² - 4)

By simplifying the expression,

Leading term of the polynomial = (6x⁸)(3x²)

                                                     = 18x¹⁰

Degree of the polynomial = 10

Therefore, number of roots = 10

3 0
3 years ago
So I finished the graph, But I need help making the table please help whoever answers correctly, I will mark brainliest 10. Corn
Monica [59]

Answer:

Here it is. The table is on the first one at the bottom.

Step-by-step explanation:

4 0
2 years ago
Solve this question<br> 2(x+3)=x-4
Whitepunk [10]

Answer:

x=-10

Step-by-step explanation:

2(x+3)=x-4 (Multiply the 2 by the x and the 3);

2x+6=x-4 (Now you group like terms)

2x-x=-4-6

x=-10

8 0
2 years ago
Read 2 more answers
The data set represents the total number of tickets each person purchased for a play.
Bezzdna [24]

Median: The middle number when all the numbers are listed in order.

First, we would put our numbers in order from least to greatest.

0 - 0 - 1 - 1 - 1 - 2 - 2 - 2 - 4 - 4

Next, we need to find the middle number. When we cross of one number from the left and one number from the right and keep doing this, we come across two numbers that are in the middle. The two numbers that are in the middle are 1 and 2. We find the median by adding 2 and 1 together to get a sum of 3 and then divide it by 2 to get an answer of 1.5

The median of this set of numbers is 1.5

4 0
2 years ago
Which graphs show functions with direct variation? select three options.
Nikolay [14]

Answer:

the daily graphs

Step-by-step explanation:

the news paper

4 0
2 years ago
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