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1 year ago

What is the end behavior of the graph of the polynomial function f(x) = 3x6 + 30x5 + 75x4?

Mathematics

2 answers:

Ugo [173]1 year ago

8 0

Answer:

rises to the left and rises to the right

Step-by-step explanation:

Sloan [31]1 year ago

5 0

Answer: is B

Step-by-step explanation:

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A direct variation function contains the points (-9, -3) and (-12,4). Which equation represents the function?

Triss [41]

Answer:

$y = -\frac{7x}{3} - 24$

Step-by-step explanation:

We can model this function using the equation of a line:

$y = ax + b$

Where a is the slope of the line and b is the y-intercept.

To find the values of a and b, we can use the two points given:

(-9, -3):

$-3 = a * (-9) + b$

$-9a + b = -3$

(-12, 4):

$4 = a * (-12) + b$

$-12a + b = 4$

If we subtract the second equation from the first one, we have:

$-12a + b - (-9a + b) = 4 - (-3)$

$-12a + 9a = 4 + 3$

$-3a = 7$

$a = -7/3$

Then, finding the value of b, we have:

$-12a + b = 4$

$28 + b = 4$

$b = -24$

So the equation is:

$y = -\frac{7x}{3} - 24$

3 0

1 year ago

Which shows how to solve the equation Three-fourths x = negative 6 for x in one step?

My name is Ann [436]

option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).

<u>Step-by-step explanation:</u>

We have , The given expression as Three-fourths x = negative 6 , which can be written as $\frac{3}{4} (x) = -6$ . Now in order to solve this equation in one step , we must notice that coefficient of x must be 1 but it's $\frac{3}{4}$ , Let's make coefficient of x as 1 by multiplying both side of equations by 4/3:

$\frac{3}{4} (x) = -6$

⇒ $\frac{3}{4} (x) = -6$

⇒ $\frac{3}{4}(\frac{4}{3} ) (x) = -6(\frac{4}{3} )$

⇒ $x = -6(\frac{4}{3} )$

⇒ $x = -2(4)$

⇒ $x = -8$

Therefore, x= -8 & correct option to solve the equation Three-fourths x = negative 6 for x in one step is <u>option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).</u>

7 0

1 year ago

Read 2 more answers

It is 4.7 km from Lighthouse A to Port B. The bearing of the port from the lighthouse is N73°E. A ship has sailed due west from

Gennadij [26K]

Answer:

correct option is C. 3.7 km

Step-by-step explanation:

given data

A to Port B = 4.7 km

lighthouse = N73°E

lighthouse = N31°E

solution

we get here first $\angle$ B and

here

$\angle$ A = 90 - 73 = 17°

$\angle$ B = 73 - 31 = 42°

and

sum of all angle 180° so

$\angle$ A +

17° + 42° + $\angle$ C = 180°

solve it we get

$\angle$ C = 121°

Now we use here sin law that is

$\frac{b}{sinB} = \frac{c}{sinC}$ ........................2

put here value and we get

$\frac{b}{sin42} = \frac{4.7}{sin121}$

solve it we get

b = 3,7 km

so correct option is C. 3.7 km

7 0

2 years ago

Test 24,515 for divisibility by 2, 3, 5, 9, or 10.

lord [1]

Answer:

Step-by-step explanation:

1. When a number is divisible by 2 it must end with even digit 0, 2, 4, 6 or 8.

So the number 24,515 is not divisible by 2.

2. When a number is divisible by 5 it must end with digit 0, or 5.

The number 24,515 ends with 5 so it is divisible by 5.

3. When a number is divisible by 3, the sum of all digits must be divisible by 3.

The sum of all digits of the number 24,515 is 2+4+5+1+5=17. 17 is not divisible by 3, so the number 24,515 is not divisible by 3.

4. When a number is divisible by 9, the sum of all digits must be divisible by 9.

The sum of all digits of the number 24,515 is 2+4+5+1+5=17. 17 is not divisible by 9, so the number 24,515 is not divisible by 9.

5. When a number is divisible by 10 it must end with digit 0.

The number 24,515 ends with 5 so it is not divisible by 10.

8 0

1 year ago

The graph shows the number of quarts picked and the amount of money the customer paid.

Grace [21]

Answer:

$3.50 for 1 quart

Step-by-step explanation:

4 0

1 year ago

Read 2 more answers