Using the rational root theorem, list out all possible/candidate rational roots of f ( x ) = 4 x^ 3 + 10 x^2 2 + 14 x+ 6. Express your answer as integers or as fractions in simplest form. Use commas to separate.

Answer:

The answer is b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

Answer:

b. $9.96

Step-by-step explanation:

To solve this problem, let's first calculate how much Nina charges for shipping per painting. We'll divide the total shipping cost by the number of paintings sold.

When Nina sells 4 paintings and charges a total of $9.96 for shipping:

Shipping cost per painting = $9.96 / 4 = $2.49

When Nina sells 8 paintings and charges a total of $19.92 for shipping:

Shipping cost per painting = $19.92 / 8 = $2.49

We can see that regardless of the number of paintings sold, Nina charges $2.49 for shipping per painting.

Now let's calculate how much Nina charges for shipping 20 paintings and 16 paintings:

Shipping cost for 20 paintings = $2.49 * 20 = $49.80

Shipping cost for 16 paintings = $2.49 * 16 = $39.84

The difference in shipping charges for 20 paintings and 16 paintings is:

$49.80 - $39.84 = $9.96

Therefore, Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings. The correct option is (b) $9.96.

Answer: C, y=-3x+4

Step-by-step explanation:

You're using a y=mx+b equation, where mx is the slope, and b is the y-intercept.

Your slope is -3, so we know now that

y=-3x+b

and your y-intercept is 4, so we can plug that in too

y=-3x+4

Answer:

1441.08in^3

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

-5x-2=13

+2.      +2

-5x=15

/-5.  /-5

x=-3

The scalar projection is 42/13, and the vector projection is 42/169⟨-5,12⟩.

The scalar projection of b onto a can be calculated using the formula \(\frac{a.b}{|a|}\), and the vector projection of b onto a can be calculated using the formula \(\frac{a.b}{|a|^{2} } .a\). The formula for finding the magnitude of a is |a| = √c²+d² if a = ⟨c,d⟩.

a = ⟨−5, 12⟩, b = ⟨4, 6⟩

a⋅b = ⟨−5, 12⟩⟨4, 6⟩

= -20 + 72

= 42

|a| = √[(-5)² + (12)²]

= √25 + 144

= √169

= 13

The scalar projection is

\(\frac{a.b}{|a|}\) = [⟨−5, 12⟩⟨4, 6⟩]/√[(-5)² + (12)²]

= [-20 + 72]/√25 + 144

= 42/√169

= 42/13

The vector projection is

\(\frac{a.b}{|a|^{2} } .a\) = [42/(13)²] ⟨−5, 12⟩

= 42/169⟨−5, 12⟩

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Answer:

two I have no idea of the question

Answer:  49 ways

Step-by-step explanation:  7 possible ways up, 7 ways  down

Up and back on Rt 1, Up on Rt 1 down on Rt2 Up on  Rt 1 down on Rt3. .  . . .  Up on Rt 7, down on Rt7

You can imagine what was left out of the explanation.

Just Multiply 7×7 = 49

Answer:

Step-by-step explanation:

j+28.6=43

-28.6    -28.6

_________________

j=14.4

Hope this helps :>

Answer:

\(8(x^2+y^2)-4x-30y+23=0\)

Step-by-step explanation:

Distance formula

\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Let P(x, y) = any point on the locus

Let A = (0, 2)    

Let B = (-2, 3)

If a point moves such that its distance from (0, 2) is one third distance from (-2, 3):

\(PA=\dfrac{1}{3}PB\)

Therefore, using the distance formula:

\(\implies \sqrt{(x-0)^2+(y-2)^2}=\dfrac{1}{3}\sqrt{(x-(-2))^2+(y-3)^2}\)

Square both sides:

\(\implies x^2+(y-2)^2=\dfrac{1}{9}[(x+2)^2+(y-3)^2]\)

\(\implies x^2+y^2-4y+4=\dfrac{1}{9}(x^2+4x+4+y^2-6y+9)\)

Multiply both sides by 9:

\(\implies 9x^2+9y^2-36y+36=x^2+4x+4+y^2-6y+9\)

\(\implies 8x^2+8y^2-4x-30y+23=0\)

\(\implies 8(x^2+y^2)-4x-30y+23=0\)

The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

Answer:

Can you add a closer photo?

Step-by-step explanation:

im sure i can answer if u do so

Answer:

D

Step-by-step explanation:

the slope formula is y²-y¹/x²-x¹

so if we take a y², it could be 4.3 and a y¹ would be 4.7 since it is before that. 4.3-4.7 gives us -0.4

and then we take an x², it could be 30 and a x¹ would be 20 and if you subtract both of those you get 10.

now going back to our slope equator we already subtracted so now its time to divide. we decided-0.4/10 which gives us -0.04 which is the same as choice d! hope this helps:()

Squeeker initial weight is 1.5

After a year, Squeeker new weight is 7.5

l2 can be at most 2.875 meters greater than l1 for us to still say that runner 1 is faster.

runner 1 on track 1 appears to have a faster time than runner 2 on track 2. However, we must consider the possibility that the length of track 2 (l2) is slightly greater than the length of track 1 (l1). This means that even though runner 2 had a slower time, they may have actually run a longer distance. In order to determine how large l2 can be for us to still conclude that runner 1 is faster, we need to calculate the difference in distance between the two tracks.
Assuming that the speeds of the two runners are equal, we can use the formula: distance = speed x time. We can set the distances equal to each other and solve for l2:
speed x time for runner 1 on track 1 = speed x time for runner 2 on track 2
(speed of runner 1) x (time for runner 1 on track 1) = (speed of runner 2) x (time for runner 2 on track 2)
We know that the times for each runner are 2 min, 27.95 s and 2 min, 28.15 s, respectively. Converting these times to seconds, we get 147.95 s and 148.15 s. We also know that the speeds of the two runners are equal.
Using these values, we can solve for l2:
(speed of runner 1) x (147.95 s) = (speed of runner 2) x (148.15 s)
l1 = l2 - (speed of runner 2) x (0.2 s) / (speed of runner 1)
Assuming that the speed of both runners is approximately 5.75 m/s, we get:
l1 = l2 - 2.875 m
This means that if the difference in track lengths (l2 - l1) is less than 2.875 meters, we can still conclude that runner 1 is faster.

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Time taken by Adam to complete his seventh lap of the circular track as per given data is equal to 1minute 28seconds.

As given in the question,

Time taken by Adam to complete hi first lap of circular track = 1 min 58 sec

First term t₁ = 1 minute 58seconds

Time taken by each successive lap is 5seconds less then the previous lap

Common difference 'd' = -5seconds

let time taken to complete the seventh lap be t₇

t₇ = t₁ + ( 7 - 1 ) d

⇒ t₇ = 1 minute 58 seconds + ( 6 ) (- 5seconds)

       =  1 minute 58 seconds - 30seconds

      = 1 minute 28 seconds

Therefore, the time taken by Adam to complete his seventh lap is equal to

1 minute 28 seconds.

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The growth equation for sessile populations look like: \(\[N_t = N_0 \cdot e^{rt}\]\)

The growth equation for sessile populations, which are organisms that are permanently attached or fixed in one place, can be described by the following equation:

\(\[N_t = N_0 \cdot e^{rt}\]\)

Where:

Nt represents the population size at a specific time (t)

N0 represents the initial population size

e is the base of the natural logarithm (approximately 2.71828)

r is the per capita growth rate of the population

t represents the time period

The growth equation mentioned above assumes ideal conditions and does not take into account factors such as resource limitations, competition, predation, or environmental constraints that may affect the growth of sessile populations in natural settings.

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Answer:

x =234567

Step-by-step explanation:

i took the test

The sum of the numbers 7, 4, and 1 is 12.

To find the mean of these numbers graphically, we can use a number line. First, we place each number on the line and draw a vertical bar at each point. Then, we add up the lengths of the bars and divide by the number of values, which is 3 in this case. The result is the mean, or average, of the numbers.

Using this method, we can see that the bars have lengths of 7, 4, and 1, respectively. The total length is 12, which we divide by 3 to get the mean of 4.

The mean is a measure of central tendency that represents the average value of a set of numbers. It is calculated by adding up all the values and dividing by the total number of values. In this case, the sum of the numbers 7, 4, and 1 is 12. To find the mean graphically, we can use a number line and represent each number with a vertical bar.

By adding up the lengths of the bars and dividing by the number of values, we obtain the mean. In this example, the mean is 4, which is the result of dividing the total length of the bars, 12, by the number of values, 3. Therefore, the mean of 7, 4, and 1 is 4.

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The proportionality used in the given diagram is 4/3=12/x if ΔABC and ΔDEF are similar. So, option 4 is correct.

Triangles are polygons because they have three vertices and three edges. This is one of the basic shapes in geometry.

In Euclidean geometry, any three non-collinear points determine a distinct triangle and a distinct plane (i.e. a two-dimensional Euclidean space). To put it another way, every triangle has a plane that it is contained in, and there is only one plane that contains every triangle. If and only if all geometry is the Euclidean plane, all triangles are contained in a single plane; however, this is no longer true in higher-dimensional Euclidean spaces. The topic of this article, unless otherwise stated, is triangles in Euclidean geometry, specifically the Euclidean plane.

We have to assume that ΔABC and ΔDEF are similar.

If the triangles are similar,

Then the proportionality is:

AB/BC=DE/EF

4/3=12/x

Therefore, the proportionality used in the given diagram is 4/3=12/x.

So, option 4 is correct.

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The present value of the installment plan is approximately $2,939,487.33. The winner should choose the one-time payment of $1,800,000 instead.

The present value of the installment plan, we need to determine the current value of the future cash flows, taking into account the 8% annual interest rate. Each annual installment of $200,000 is received over a period of 20 years.

Using the formula for calculating the present value of an ordinary annuity, we have:

Present Value = Annual Payment × [1 - (1 + interest rate)^(-number of periods)] / interest rate

Plugging in the values, we get:

Present Value = $200,000 × [1 - (1 + 0.08)^(-20)] / 0.08

Present Value ≈ $2,939,487.33

The present value of the installment plan is approximately $2,939,487.33.

In this case, the one-time payment option is $1,800,000. Comparing this amount to the present value of the installment plan, we can see that the present value is significantly higher. Therefore, the winner should choose the one-time payment of $1,800,000 instead of the installment plan. By choosing the one-time payment, the winner can immediately receive a larger sum of money and potentially invest it at a higher rate of return than the estimated 8% annual interest rate.

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The number formed by the digits 16, 06, and 68 is 160668, which is determined by concatenating them in the given order.

To determine the number formed by the given digits, we concatenate them in the given order. Starting with the first digit, we have 16. The next digit is 06, and finally, we have 68. By combining these three digits in order, we get the number 160668.

When concatenating the digits, the position of each digit is crucial. The placement of the digits determines the resulting number. In this case, the digits are arranged as 16, 06, and 68, and when they are concatenated, we obtain the number 160668. It's important to note that the leading zero in the digit 06 does not affect the value of the resulting number. When combining the digits, the leading zero is preserved as part of the number.

Therefore, the number formed by the digits 16, 06, and 68 is 160668.

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Answer: This should be under the subject English or Art, not math.

Step-by-step explanation: Go motivation, if a little rude.

Answer:

Love the message maybe say it in a more positive way if they are complaining  they don't need negative criticism

Step-by-step explanation:

The volume of air needed is equal to the volume of the sphere, which is 7,234.56 cm³.

The volume of air that we need is equal to the volume of the basketball.

Remember that for a sphere of radius R, the volume is:

\(\sf V = \huge \text(\dfrac{4}{3}\huge \text)\times3.14\times r^3\)

In this case, the radius is 12 cm, replacing that we get:

\(\sf V = \huge \text(\dfrac{4}{3}\huge \text)\times3.14\times (12 \ cm)^3=7,234.56 \ cm^3\)

Then, to fully inflate the ball, we need 7,234.56 cm³ of air.

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Answer:

31/4

= 7.75

So Mark has to average more than 7.75 homeruns per week.

Step-by-step explanation:

Mark me as brainliest.

Answer:

the answer is number is the last one

Answer:

length between is 8.54 units

Step-by-step explanation:

Formular:

\( { \bf{ = \sqrt{ {(x_{1} - x_{2}) }^{2} + {(y_{1} - y_{2}) }^{2} } }}\)

x1 is -4

x2 is 4

y1 is 4

y2 is 1

\( = \sqrt{ {( - 4 - 4)}^{2} + {(4 - 1)}^{2} } \\ = \sqrt{64 + 9} \\ = \sqrt{73} \\ = 8.54 \: units\)

Answer:

Distance = 8.25 units

Step-by-step explanation:

use the formula :

√ (x2 _ x1) + (y2 - y1)

where ,

x2 = 4

x1 = -4

y2 = 1

y1 = -1