Is it possible for a sixth degree polynomial function with integer coefficients to have no real zeroes? Choose all that apply: Yes No

Answer:

C = 2πr = 2·π·20 ≈ 40π ft (125.6)

We will find the speeds of both persons, the correct option is:

"Ramon rides his bike 3 miles per hour slower than Hector rides his bike."

First, we know that Ramon rides 45 miles in 3 hours, then its speed is:

S = 45mi/3h = 15mi/h

And we know that Hector position is given by:

y = 18x

Where x is time in hours, so his velocity is 18mi/h.

Then we can see that:

So the correct statement is:

"Ramon rides his bike 3 miles per hour slower than Hector rides his bike."

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Answer: 13 weeks

Step-by-step explanation:

First you have to find 10% of 340.00 which is 28, so each week he saves 28.00 for his bike. To find how many paychecks he has to recieve you divide 340.00 by 28.00, which is 12.1, since there is a decimal place you have to round it up to 13 because it is a little bit more than 12 paychecks. ;)

Answer:

55 ≤ 3.5x + 15

Step-by-step explanation:

Missing Inequality.

Given that:

Josh has a reward card for movie theater.

He receives 15 points for becoming a rewards card holder.

He earns 3.5 points for each visit to the movie theater.

He needs at least 55 points to earn a free movie ticket.

To Find:

Which inequality can Josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket?

Solution:

From the given we know that:

Points Josh received for becoming a member = 15

Points Josh received for visiting the moving theater = 3.5

Total points needed for a free movie ticket = 55

Note that:

< = Less than

> = Greater than

≤ = Less than or equal to

≥ = Greater than or equal to

Thus, We know that Josh need to get less than or equal to 55.

Therefore, we use this sign ≤

Since we know that we need to get less than or equal to 55 then

we get

55 ≤ 3.5x + 15.

Hence, the inequality that Josh can use to determine x, the minimum number of visits he needs to earn his first free movie tickets is:

55 ≤ 3.5x + 15

Kavinsky

Answer:

Step-by-step explanation:

y = k*x                    This is the formula for a direct variation.

20 = 4 * k                        Divide by 4

20/4 = 4k/4

k = 5

Answer: the constant of variation is 5

well, we know the endpoints of its diameter, so hmmm its center will be the midpoint of those endpoints.

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-11}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 1 -11}{2}~~~ ,~~~ \cfrac{ -3 -9}{2} \right)\implies \left( \cfrac{-10}{2}~~,~~\cfrac{-12}{2} \right)\implies \stackrel{center}{(-5~~,~~-6)}[/tex]

well, to get its radius, we can simply get the distance between both points and keeping in mind that the radius is half the diameter, we'll take half of that distance.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-11}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[1 - (-11)]^2 + [-3 - (-9)]^2}\implies d=\sqrt{(1+11)^2+(-3+9)^2} \\\\\\ d=\sqrt{12^2 + 6^2}\implies d=\sqrt{180}\implies d=6\sqrt{5}~\hfill \underset{half~that}{\stackrel{radius}{3\sqrt{5}}}[/tex]

Answer: 27

Step-by-step explanation:

8 cups of water is 64 Ounce. If she had 37, She needs 64 - 37 To balance up

Answer:

D

Step-by-step explanation:

See attached image.

Answer:

C- 1:3

Step-by-step explanation:

You have to simply 4 and 12, which becomes 1 and 3 (by dividing both numbers by 4). Then I guess you just keep a colon symbol in between 1 and 3.

Answer:

B'(-3, 2)

Step-by-step explanation:

The rule for a reflection over the y-axis is (x, y) → (-x, y)

This means that the x-values change while the y-values stay the same.

B(x, y) → (-x, y)

B(3, 2) → (-3, 2)

B'(-3, 2)

Hope this helps!

Answer:

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<<<<<<<<<<<<<<<<<<<<

hope it helps...!!!

Answer:

ОА. 449

ОВ. 23°

Ос. 92°

OD. 46°

Step-by-step explanation:

The measure of the angle RST is 23 degrees, option C is correct.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that an arc is 46∘

We need to find the measure of the subtending angle inscribed in the circle.

The measure of the angle inscribed in a circle is one-half the measure of the arc it subtends.

The measure of the arc is twice the measure of the subtending inscribed angles.

measure of the angle RST= 1/2 measure of the arc

∠RST=1/2(46)

=23 degrees.

Hence, the measure of the angle RST is 23 degrees, option C is correct.

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#SPJ7

Given the proportional relationship representing the speed, Paul ran faster. The equation for Paul is, y = 7x (Option D).

Proportional relationship between two variables that has a constant rate or unit rate of m, is given as y = mx.

In a graph, the steeper the slope, the larger the constant rate or unit rate.

The graph for Paul is steeper than that of Melinda. Since Melinda's constant speed is 5, therefore, Paul's constant speed cannot be less than 5. It should be more than 5, i.e. 7.

This means that Paul ran at a faster constant speed than Melinda did.

Paul's equation for distance covered over time can be expressed as, y = 7x. (Option D).

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Answer:

Step-by-step explanation:

Exponential equation:

           [tex]\boxed{y=a*b^{x}}[/tex]

Choose the point whose x-coordiante is 0, so that we can find the value of a.  (0,2)

[tex]2 = a*b^0\\\\2 = a*1 \ [\text{\bf any \ variable raised to 0 is 1}][/tex]

[tex]\sf \boxed{a = 2}[/tex]

Now, choose (1 , 1) and find the value of b

[tex]1 = 2*b^{1}\\\\1 = 2*b\\\\\dfrac{1}{2}=b[/tex]

Exponential equation:

            [tex]\bf \boxed{y =2* \left(\dfrac{1}{2}\right)^{x}}[/tex]

Assuming  ℎ1 = 11 feet and ℎ 2 = 3 feet, the storage of the facility is going to be 603 cubic feet, which is more than 576 cubic feet

The diameter of the building has been given as 8cm

radius = d/2 = 8/2 = 4

Maximum height = h1 + h2 = 14

Find the volume of the fertilizer that is containeed in both of the trucks

2(12x4x6) = 576 feet

From the height of 14 feets we have to assume

h1 = 11 ft,

h2 = 3 ft

[tex]volume =\frac{1}{3} \pi r^{2} h2 + \pi r^{2} h1[/tex]

= 0.333*3.14*4²*3 + 3.14*4²*11

= 602.8 ft ≈ 603

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Answer:

2 terms

Explanation:

[tex]\dashrightarrow \ \ \sf 5(6 + 4x)[/tex]

[tex]\dashrightarrow \ \ \sf 5(6) + 5(4x)[/tex]

[tex]\dashrightarrow \ \ \sf 30 + 20x[/tex]

→ There are total two terms in this factor.

Answer:

2 Terms

Step-by-step explanation:

There will be two terms ..

=> 5(6 + 4x)

=> 30 + 20x

Answer:

It acually equals 8.2

Step-by-step explanation:

37.72÷4.6=8.2 8.2*4.6=37.72

Hope this helps!

Answer

12 feet high

Step-by-step explanation:

[tex] {15}^{2} + {x}^{2} = {39}^{2} [/tex]

x = 36

^● ●^

Answer:

36

Step-by-step explanation:

You can use Pythagorus to solve this. 39^2-15^2=1296. √1296 is 36

Answer:

[tex]2\sqrt{2}[/tex]

Step-by-step explanation:

if the given figure is triangle, then the required length can be calculated:

[tex]\frac{4}{\sqrt{2} } =2\sqrt{2}.[/tex]

additional info: sin45°=1/√2.

The removable discontinuity of the function f(x) = (x+5)/(x^2 +3x-10) is at x = -5 (given by Option A).

Holes in the graph of function, where its undefined, or non-continuous, is called discontinuity.

The points in the domain of the function over which its not continuous, is called point of discontinuity for that function.

A discontinuity is removable if the limit of the function at the point of discontinuity exists but this limiting value is not the value of the function at that point.

We can remove that discontinuity by making the value of the function equate to the limiting value of the function at that point.

The given function is:

[tex]f(x) = \dfrac{(x+5)}{(x^2 +3x-10)}[/tex]

Factoring the denominator, we get:

[tex]x^2 + 3x -10 = x^2 + 5x - 2x - 10 =x(x+5) - 2(x+5) = (x+5)(x-2)[/tex]

Therefore, we get:

[tex]f(x) = \dfrac{(x+5)}{(x+5)(x-2)}[/tex]

The function is not defined if x = -5, or x = 2 since at those places, the denominator would become 0. (we cannot cancel out (x+5) from numerator and denominator for all x, as it isn't defined for x = -5

Also, we have:

[tex]\lim_{x\rightarrow 2}f(x)= \infty\\\lim_{x\rightarrow -5}f(x) = \lim_{x\rightarrow -5}\dfrac{(x+5)}{(x+5)(x-2)} = \lim_{x\rightarrow -5}\dfrac{1}{(x-2)} = -\dfrac{1}{7}[/tex]

We cancelled out (x+5) from numerator and denominator because x is limiting to -5 but isn't equal to -5.

For discontinuity of x = -5, the limit of f(x) exist (left and right limit both will come as 1/3). But f(-5) is not defined. So we can remove this discontinuity by defining f(-5) = 1/3 and for rest of the values of x, it is same as before.

Thus, the removable discontinuity of the function f(x) = (x+5)/(x^2 +3x-10) is at x = -5 (given by Option A).

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Answer: Option A  -5

Step-by-step explanation: Just took the test

Answer:

60

Step-by-step explanation:

After 1.5 hour the train travel 60 mille (1.5 × 40) and the car travel 45 (1.5 × 30) which make the train travel 15 more than the car at the same amount of time.

the answer to ur question is false

Answer:

6

Step-by-step explanation:

we know that the cos(θ) is -(3/5), however θ is in the II Quadrant, where the cosine is negative whilst the sine is positive, meaning the fraction is really (-3)/5, so

[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{-3}}{\underset{hypotenuse}{5}}\qquad \qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]

[tex]\pm\sqrt{5^2-(-3)^2}=b\implies \pm\sqrt{25-9}=b\implies \pm 4=b\implies \stackrel{II~Quadrant}{+4=b} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill csc(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{4}}~\hfill[/tex]

Answer:

the answer is 1470

Step-by-step explanation:

157+376+413+524

=1470