Choose the polynomial that is written in standard form.

a. x + 4x5 + 10x3
b. x4 + 4x2 + 8x
c. −9x4 + 4x6 + 10x2
d. x4 + 4x4 + x6

Answer:

25.16

Step-by-step explanation:

Answer:

25.16

Step-by-step explanation:

A=(352/25 *2) - 3 = 25.16.

Answer:

At maximum speed the robot can travel 9 miles in 2hrs and 15 min

Step-by-step explanation:

Answer:b?

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

Answer:

The measure of the interior angle C is [tex]108^{o}[/tex].

Step-by-step explanation:

Sum of angles in a polygon = (n - 2) x 180

where n is the number of sides of the polygon.

For a hexagon, n = 6. So that;

Sum of angles in a hexagon = (6 - 2) x 180

                                     = 4 x 180

                                     = [tex]720^{o}[/tex]

Sum of angles in a hexagon = [tex]720^{o}[/tex]

⇒ 3x + 15 + 2x + 30 + 5x + 10 + 2x + 55 + 2x + 60 + x - 35 = [tex]720^{o}[/tex]

15x + 135 = [tex]720^{o}[/tex]

15x = [tex]720^{o}[/tex] - 135

15x = 585

x = [tex]\frac{585}{15}[/tex]

  = [tex]39^{o}[/tex]

But,

C = 2x + 30

   = 2(39) + 30

   = 78 + 30

   = [tex]108^{o}[/tex]

The measure of the interior angle C is [tex]108^{o}[/tex].

Answer:

J = -2

Step-by-step explanation:

You must isolate the variable by dividing each side by factors that dont contain the variable.

So J would equal -2

Answer:

When we have a function g(x)

We will have a maximum at x when:

g'(x) = 0

g''(x) < 0.

Now we start with:

g(x) = 3*x^4 - 8*x^3

The first derivation is:

g'(x) = 4*3*x^3 - 3*8*x^2

g'(x) = 12*x^3 - 24*x^2

We can rewrite this as:

g'(x) = x^2*(12*x - 24)

Now we want to solve:

g'(x) = 0 =  x^2*(12*x - 24)

We have one trivial solution, that is when x = 0.

The other solution will be when the term inside of the parentheses is equal to zero.

Then we need to solve:

12*x - 24 = 0

12*x = 24

x = 24/12 = 2

Then g'(x) is equal to zero for x = 0, and x = 2.

Notice that both of these points are included in the interval [ -2,2 ]

Now we need to look at the second derivative of g(x):

g''(x) = 3*12*x^2 - 2*24*x

g''(x) = 36*x^2 - 48*x

Ok, now we need to evaluate this in the two roots we found before:

if x = 0:

g''(0) = 36*0^2 - 48*0 = 0

g''(0) = 0

Then we do not have a maximum at x = 0, this is a point of inflection.

if x = 2:

g''(2) = 36*(2^2) - 48*2 = 48

then:

g''(2) > 0

This is an absolute minimum.

Now let's look only at the interval [ -2,2 ]

We know that:

g''(0) =  0

g''(2) > 0

Then at some point, we should have g''(x) < 0 in our interval.

We need to find the first point such that happens, so let's try with the lower limit of the interval but with the first derivation, if g'(x) < 0, this means that the function is decreasing from that point on, then that point will be a maximum in our interval.

x = -2

g'(-2) = (-2)^2*(12*-2 - 24) = -192

And if we look at the function:

g'(x) = x^2*(12*x - 24)

We can easily see that it is negative unitl x = 0, and then it keeps being negative until x = 2.

So in the interval  [ -2,2 ], the function g'(x) is always negative or zero, this means that in the interval  [ -2,2 ], the function g(x) is always decreasing or constant.

Then the absolute maximum of g(x) in the interval  [ -2,2 ]  will be  x = -2

this means that:

g(-2) ≥ g(x) for all x ∈  [ -2,2 ]

Answer:

=408x3+1556x2−4008x+1564

Step-by-step explanation:\

(8x−4)(3x+17)(17x−23)

Answer:

y = 5x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 5x + y = 2 ( add 5x to both sides )

y = 5x + 2 ← in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, then

y = 5x + c ← is the partial equation

To find c substitute (- 2, 1) into the partial equation

1 = - 10 + c ⇒ c = 1 + 10 = 11

y = 5x + 11 ← equation of parallel line

Answer:

1.5972

11.4688

6.5025

1.81

28.9835

Step-by-step explanation:

yan po hehe

Answer:

5/2

Step-by-step explanation:

1km=1000m

1.75 x 1000=1750

1750/700 = 5/2

Answer:

m= 5/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hyhh

Answer:

I think it is A

Step-by-step explanation:

because there is only 1 slope which is 3 and the y intercept is 4

Answer:

39 yards.

Step-by-step explanation:

52 squared plus B squared equals 65 squared

9514 1404 393

Answer:

Step-by-step explanation:

On a position-time graph, "does not move" means the position is a constant—a horizontal line.

"Positive velocity" means the position is increasing as time increases. The graph goes up to the right. The rate of change (slope) is the velocity.

"Negative velocity" means the position is decreasing as time increases. The graph goes down to the right. Again, the rate of change (slope) is the velocity.

The various sections of the graph are identified in the attachment.

Answer:

4(-2)-(0)-2(-1)

a negative number multiplied by a negative number will always equal a positive number as the two negatives cancel each other out.

-2 multiplied by -1 equals positive 2

this is why the 2 is positive.

Answer:

what models

Step-by-step explanation:

Answer:

[tex]x=3.33333\\y=-5[/tex]

Answer:

Step-by-step explanation:

To answer this question, you need trigonometry.

Are you familiar with the chant soh cah toa?

In here, you can see that the side you have is adjacent to the angle you have, and you're trying to find the opposite side. This means you need tangent = opposite ÷ adjacent

If the angle was 30° 45° or 60° Then there is a table you can use to calculate, but there isn't so just use a calculator

tan 31° = x ÷ 10

Answer:

1280 cubic

Step-by-step explanation:

length x width x height

Answer:

B

Step-by-step explanation: Volume=lwh

10*8*16=1280

Answer: B

Answer:

$7.99

Step-by-step explanation:

6.5% of 7.5 = 0.4875

7.5 + 0.4875 = 7.9875 or about 7.99

Answer:

2.) $520

3.) less

Step-by-step explanation:

I'm going to assume that the interst is compoudning and is convertable once a year

The compound interest formula for interest compounding only once a year is as follows

[tex]AV=PV(1+i)^n[/tex]

plug in the numbers and get

[tex]500(1+.04)^{1}=500*1.04=520[/tex]

3.) If the interest rate is lower at the credit union he would obvioulsy be paying less (assuming that this interest rate is convertable annually as well)

Answer:

yes

Step-by-step explanation: