What is the end behavior of the graph of f(x) = x5 – 8x4 + 16x3?
Answer: B.) f(x) => -∞ as x => -∞; f(x) => +∞ as x => +∞
The graph touches, but does not cross, the x–axis at x =__
The graph of the function crosses the x–axis at x = ___

Answer:

the answer is C

Step-by-step explanation

type 2.08^5 and then times it to 14.08

Hello there! The answer is C.

So the equation is y = 14.08 ⋅ 2.08^x, where x stands for the number of years. You are finding the number of fish after five years, so place five in for x and solve.

y = 14.08 ⋅ 2.08^5 - Start by finding 2.08 to the 5th power. (I rounded off some decimal points since it was too long.)

y = 14.08 x 38.9329 - Next: multiply your two numbers.

y = 548.175232, or C since it is the closest whole number.

Answer: [tex]y=\frac{1}{3}x+3[/tex]

Step-by-step explanation:

The equation of the line is Slope-intercept form is:

[tex]y=mx+b[/tex]

Where "m" is the slope and "b" the y-intercept.

The slopes of perpendicular lines are negative reciprocal.

Then, if the slope of the first line is -3, the slope of the other line must be:

[tex]m=\frac{1}{3}[/tex]

Substitute the point (3,4) into the equation and solve for b:

[tex]4=\frac{1}{3}(3)+b\\ 4-1=b\\b=3[/tex]

Then the equation of this line is:

[tex]y=\frac{1}{3}x+3[/tex]

ANSWER

[tex]y= \frac{1}{3} x + 3[/tex]

EXPLANATION

We want to find the equation of a line which is perpendicular to another line with slope -3 and passes through (3,4).

Our line of interest is has a slope that is the negative reciprocal of -3

[tex]m = - \frac{1}{ - 3} = \frac{1}{3} [/tex]

The equation is given by

[tex]y-y_1=m(x-x_1)[/tex]

We substitute the point and slope to get:

[tex]y-4= \frac{1}{3} (x-3)[/tex]

Expand

[tex]y-4= \frac{1}{3} x-1[/tex]

[tex]y= \frac{1}{3} x-1 + 4[/tex]

[tex]y= \frac{1}{3} x + 3[/tex]

.18/.48= .375x 100= 37.5%

Answer:

answer: 1

Step-by-step explanation:

using pemdas you would first go into the parenthesis and multiply 2 by 2 the subtract that from three giving you -1. then, you would multiply that by 1 and add that to 2.

The answer is the first one, 41.

The value of a21 is 41

a21 = (7*5) + (2*3)

a21 = 35 + 6

a21 = 41

Hence the value of a21 is 41

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Answer:x=8,y=1

Step-by-step explanation:

2x+4y=20

So, 4y=20-2x

So,2y=10-x

Now we can use this information to use in the second equation

3x+2y=26

3x+(10-x)=26

2x+10=26

2x=16

x=8

Now that we know that x=8, then we can solve for y.

2x+4y=20

2(8) +4y=20

16+4y=20

4y=4

y=1

Here is the process of how I did it:

Step 1:     Make this equation : 2x+4y = 20 equal x by isolating x and bring everything else on the right side of the equation

2x + (4y-4y) = 20 - 4y

2x = 20 - 4y

[tex]\frac{2x}{2}  = \frac{20 - 4y}{2}[/tex]

x = 10 - 2y

Step 2: In the other equation given (3x+2y=26​) every time you see an x replace it with the equation solved above (x = 10 - 2y). This will help you find the y

3x+2y=26​ ---> 3(10 - 2y)+2y=26​

10(3) - 2y(3) + 2y = 26

30 - 6y + 2y = 26

(30-30) - 4y = (26 - 30)

[tex]\frac{-4y}{-4} =\frac{-4}{-4}[/tex]

y = 1

Step 3: In the equation you found in step 1 (x = 10 - 2y) plug 1 into all the y's so you can find x

x = 10 - 2y ---> x = 10 - 2(1)

x = 10 - 2

x = 8

Hope this helped!

Answer: x=54

Step-by-step explanation:

When you add up all of the sides that have to equal 360 degrees. so, the first thing that you would do is 72+72. You would do that because there are actually 2 72 in the rhombus. That equals 144. then you would do 360-144. That equals 216. Then you would do 216/4. You would do 216/4 because there are actually 4 x in the rhombus. After you divide 216/4 it equals 54. to check your work you would do 54+54+54+54+72+72. That equals 360. So the value of x = 54 degrees.

can you just measure r and times that by 72

[tex]\boxed{x^2=4py}[/tex]

A parabola is the set of all points that lies on a plane and are equidistant from  a fixed line called the directrix and a fixed point called focus, that doesn't lies on the line. If the  vertex is at the origin and the directrix crosses the negative part of the y-axis, then the equation takes the following forms:

[tex]\boxed{x^2=4py}[/tex]

Where the focus lies on the axis [tex]p \units[/tex] (directed distance) from the vertex.

The representation of this problem is shown below. As you can see, the vertex lies on the origin while the directrix crosses the negative part of the y-axis.

Answer:

The actually answer is x(2) = 4y

Answer:

C:  f(x) = (x - 13)(x + 11)

Step-by-step explanation:

Please use " ^ " to indicate exponentiation:  y = x^2 – 2x – 143.

x^2 – 2x – 143 factors into (x - 13)(x + 11).  Note that -13x + 11x = -2x, which matches the middle term of the given function.

Thus, the zeros are {-11, 13}

Answer C is correct:  f(x) = (x - 13)(x + 11).

In factored form, the function is y = (x – 13)(x + 11), so the zeros of the function are x = 13 and x = –11. Option C is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given function,
y = x² – 2x – 143

y = x² -13x + 11x - 143
y = (x - 13)(x + 11)

Let,
y = 0
(x - 13)(x  + 11) = 0
Now,
zeros is given as,
x = 13 and x = -11

Thus, in factored form, the function is y = (x – 13)(x + 11), so the zeros of the function are x = 13 and x = –11. Option C is correct.

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Answer:

B. 0

Step-by-step explanation:

Anything multiplied by 0 is 0

ANSWER

B Zero

EXPLANATION

The product of any number and zero is still zero.

It doesn't matter how huge or small the number is.

It doesn't also matter whether the number is negative or positive.

Even the product of zero and itself is still zero.

Therefore:

[tex] - 11.4 \times 0 = 0[/tex]

The correct choice is B

The only trinomial among the four expressions is x^6 −x+ √6 .

A trinomial is an algebraic expression with three terms, each containing a power of the variable raised to a non-negative integer and multiplied by a coefficient.

Let's analyze each expression:

x^3 + x^2 - √x: This has three terms (x^3, x^2, and -√x), but √x contains a fractional exponent, which is not allowed in a polynomial (and therefore, a trinomial). So, it's not a trinomial.

2x^3 - x^2: This has two terms (2x^3 and -x^2), not three. Therefore, it's not a trinomial.

4x^3 + x^2 - 1/x: This has three terms (4x^3, x^2, and -1/x), but 1/x is equivalent to x^-1, which is a negative exponent.

Similarly to option 1, this violates the non-negative integer exponent requirement for polynomials. So, it's not a trinomial.

x^6 - x + √6: This has three terms (x^6, -x, and √6). Note that √6 does not contain a variable and can be considered a constant, satisfying the polynomial and trinomial requirements. Therefore, this is a trinomial.

In, the only trinomial among the given options is: 4. x^6 - x + √6 .

The trinomial expression is C. [tex]\(4x^3 + x^2 - \frac{1}{x}\).[/tex]

A trinomial is an algebraic expression consisting of three terms. Let's examine each option:

a. [tex]\(x^3 + x^2 - \sqrt{x}\)[/tex] - This is a polynomial expression, but it only has two terms, so it's not a trinomial.

b. [tex]\(2x^3 - x^2\)[/tex] - This expression has two terms, so it's not a trinomial.

c. [tex]\(4x^3 + x^2 - \frac{1}{x}\)[/tex] - This expression has three terms, so it is a trinomial.

d. [tex]\(x^6 - x + \sqrt{6}\)[/tex] - This expression also has only three terms, so it is a trinomial.

So, the correct answer is:

C. [tex]\(4x^3 + x^2 - \frac{1}{x}\)[/tex]

Complete Question:
Which algebraic expression is a trinomial?

a. [tex]$x^3+x^2-\sqrt{x}$[/tex]

b. [tex]$2 x^3-x^2$[/tex]

c. [tex]$4 x^3+x^2-\frac{1}{x}$[/tex]

d. [tex]$x^6-x+\sqrt{6}$[/tex]

Answer:

[tex]35\ days[/tex]

Step-by-step explanation:

step 1

Find the area of the trapezoid (brownie pan)

[tex]A=\frac{1}{2}(29+41)20=700\ cm^{2}[/tex]

step 2

To find the number of days , divide the area of the brownie pan by 20 square centimeters of brownie

[tex]\frac{700}{20}=35\ days[/tex]

The answer is -4/7 or in decimal it’s -0571429

The side across angle 18 is the opposite side. The perpendicular angle that touches the same line is adjacent. To figure out the length of JL, we need to use the measurement 34.6 mm (hypotenuse). So in this equation we will use hypotenuse to find opposite. Hypotenuse and opposite result in Sin on the calculator. So on the calculator, you would find the Sin of 18 and then multiply that number by 34.6. The answer would then be 10.7 (rounded).

Answer: 10.7 mm (rounded)

Answer:

JL ≈ 10.7 mm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin18° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{34.6}[/tex]

Multiply both sides by 34.6

34.6 × sin18° = JL, hence

JL ≈ 10.7 ( to 1 dec. place )

X=3.6

See the attached photo

Without specific diagram or context, this answer is based on the relationship between tangent lines and circles. The angle between a tangent and a radius of a circle is always 90 degrees. Understanding this along with the Pythagorean theorem and trigonometric ratios will help solve for 'x'.

Based on the information provided, it seems the question is related to circular geometry, however, we need more specific information to solve your problem such as a diagram or more context. However, if we consider that we're dealing with a tangent and a radius of a circle, it's important to know that the angle between a tangent and a radius of a circle is always 90 degrees. So, if we have an angle opposite a 90-degree angle in a right triangle, we could use tangent properties, Pythagorean theorem, or trigonometric ratios to solve for 'x'

For example, in a right triangle, tangent of an angle is equal to the opposite side length divided by the adjacent side length (tan(θ) = opposite/adjacent). Also, the Pythagorean theorem tells us that the square of the hypotenuse (radius) is equal to the sum of the squares of the other two sides (c² = a² + b²).

Those concepts and formulas are key to understanding the intersection between lines and circles, and they should assist you in solving queries closely related to this problem.

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Answer:

x=y/4 + 4

Step-by-step explanation:

y=4x-16

-need to isolate x

add 16 to both sides.

y+16=4x

divide by 4 on both sides.

y/4 + 4 = x

Answer:

23

Step-by-step explanation:

the absolute value of -23 is 23 (distance from 0)

Answer:

X1 = 2 X= -[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

You must pass the 3 a to the other side in negative and use the quadratic formula

Answer:

Step-by-step explanation:

[tex]X1 = 2 X= -\frac{5}{3}[/tex]

Answer:

210

Step-by-step explanation:

Divide 120 by 4 and get 30 and multiply 7 by 30 and you get 210

Final answer:

To dilute 120 cl of orange squash with a ratio of 7:4 (water to squash), you need 210 cl of water. The total mixture will be 330 cl (7+4 parts), of which 120 cl is the squash and the remainder is water.

Explanation:

The student is asking how much water is needed to dilute 120 cl of orange squash if the mixture ratio of water to orange squash is 7:4. To solve this, you need to work with ratios.

First, add the parts of the ratio together: 7 (water) + 4 (orange squash) = 11 parts in total. Now, find out how many parts of the total mixture the 120 cl of orange squash represents. Since the ratio of orange squash is 4 parts, this means that 120 cl is 4 parts of the total mixture.

We can then set up the proportion: 4 parts / 11 parts total = 120 cl / total mixture in cl. Solving for the total mixture gives us: 11 parts * 120 cl / 4 parts = 330 cl.

Finally, to find out how much water is needed, subtract the volume of orange squash from the total mixture volume: 330 cl - 120 cl = 210 cl of water.

it’s 321 because whether negative or positive it’s absolute value

1 minus 321 is -320. Since you’re finding the absolute value it’s 320

We are to find the time it takes a flare to reach 36 feet. After rearranging the given equation and solving for the time 't', we find that the time is approximately 0.867 seconds. However, this value is not listed in the provided options. The closest given answer choice is 0.75 seconds.

The given equation for the height of a flare is: h = -16 + 60t where 'h' stands for height and 't' stands for time. First, we need to solve the equation for 't', as we're looking to find the time it takes for the flare to reach 36 feet.

So, the equation becomes: 36 = -16 + 60t.

We add 16 to both sides of the equation to isolate the term with 't': 52 = 60t.

Then, we divide both sides of the equation by 60. We now have: t = 52/60. Solving it returns t = 0.867 seconds.

However, this value is not listed in the given answer choices. Among the choices, the closest is 0.75 seconds, or option A. Hence, 0.75 seconds is likely the approximate value considered correct for this problem.

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For this case we must raise an inequality.

We have "d" dollars initially and they are spent 12. Then:

[tex]d-12[/tex]

At least 51 dollars remain, then, the sign of inequality is greater or equal in favor of the expression[tex]d-12[/tex], that is:

[tex]d-12\geq 51[/tex]

Resolving:

[tex]d\geq 51 + 12\\d\geq 63[/tex]

There are at least 63 dollars left in the account.

Answer:

[tex]d-12\geq 51\\d\geq 63[/tex]

Answer:

[tex]2^3\times2^{-4}=\frac{1}{2}[/tex]

Step-by-step explanation:

The given expression is

[tex](2^3)(2^{-4})[/tex]

This is the  same as;

[tex]2^3\times2^{-4}[/tex]

Recall that;

[tex]a^m\times a^n=a^{m+n}[/tex]

This implies that;

[tex]2^3\times2^{-4}=2^{3+-4}[/tex]

[tex]2^3\times2^{-4}=2^{-1}[/tex]

We now use the following law of exponents

[tex]a^{-m}=\frac{1}{a^m}[/tex]

This gives us;

[tex]2^3\times2^{-4}=\frac{1}{2}[/tex]

Answer:

415

Step-by-step explanation:

the nth term of the sequence is -13 + 4n

the sequence is an arithmetic progression with nth term a + (n - 1)d

a = -9, d = a5- a4 = 7 -3 =4

nth = -9 + (n -1) 4

       = -9 + 4n -4

       = -13 + 4n

hence the 107th term; -13 + 4*107

                                      -13 + 428 = 415

If the length of the rectangle is 6 and the perimeter is 54, multiply the length by 6 and subtract the answer from 54. Then, divide the answer by 2 to get the width.

So, I will use your formula for this as it is correct:

2l+2w=54

2(6)+2w=54

12+2w=54

2w=42

42/2=21

w=21

Therefore, your length is 21. Hope this helps!

The width of the rectangle is 21cm

                 =21 cm answer.

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the answer is 40% hope this helps

Answer:

Aproximately 40% is the correct option)))

Answer:

1800

Step-by-step explanation:

850*4=1800

Answer:

212.5 lb

Step-by-step explanation:

850 students × 4oz/student = 3400 oz

There are 16 ounces in a pound, so:

3400 oz × (1 lb / 16 oz) = 212.5 lb

Answer:

The surface area of the figure is 96 + 64π ⇒ 1st answer

Step-by-step explanation:

* Lats revise how to find the surface area of the cylinder

- The surface area = lateral area + 2 × area of one base

- The lateral area = perimeter of the base × its height

* Lets solve the problem

- The figure is have cylinder

- Its diameter = 8 cm

∴ Its radius = 8 ÷ 2 = 4 cm

- Its height = 12 cm

∵ The perimeter of the semi-circle = πr

∴ The perimeter of the base = 4π cm

∵ The area of semi-circle = 1/2 πr²

∴ The area of the base = 1/2 × π × 4² = 8π cm²

* Now lets find the surface area of the half-cylinder

- SA = lateral area + 2 × area of one base + the rectangular face

∵ LA = perimeter of base × its height

∴ LA = 4π × 12 = 48π cm²

∵ The dimensions of the rectangular face are the diameter and the

   height of the cylinder

∴ The area of the rectangular face = 8 × 12 = 96 cm²

∵ The area of the two bases = 2 × 8π = 16π cm²

∴ SA = 48π + 16π + 96 = 64π + 96 cm²

* The surface area of the figure is 96 + 64π

Answer:

A

Step-by-step explanation:

edge 2021

We want to find a fraction a/b such that

[tex]\dfrac{9}{11}\leq\dfrac{a}{b}\leq\dfrac{11}{13}[/tex]

This is true if and only if

[tex]\dfrac{9b}{11}\leq a \leq\dfrac{11b}{13}[/tex]

We can choose a value for a only if the two extremes include at least one integer, i.e. if

[tex]\dfrac{11b}{13}-\dfrac{9b}{11}\geq 1[/tex]

Solving for b, we have [tex]b>35[/tex]

So, the smallest fraction is given for [tex]b=36[/tex]. We have

[tex]\dfrac{9}{11}\leq \dfrac{a}{36} \leq \dfrac{11}{13}[/tex]

Solving for a, we have a=30.

The fraction 30/36 can be simplified to 5/6. So, we have

[tex]\dfrac{9}{11}\leq \dfrac{5}{6} \leq \dfrac{11}{13}[/tex]

and this is the smallest possible denominator.

We want to find a fraction a/b such that

\dfrac{9}{11}\leq\dfrac{a}{b}\leq\dfrac{11}{13}

11

9

≤

b

a

≤

13

11

This is true if and only if

\dfrac{9b}{11}\leq a \leq\dfrac{11b}{13}

11

9b

≤a≤

13

11b

We can choose a value for a only if the two extremes include at least one integer, i.e. if

\dfrac{11b}{13}-\dfrac{9b}{11}\geq 1

13

11b

−

11

9b

≥1

Solving for b, we have b>35b>35

So, the smallest fraction is given for b=36b=36 . We have

\dfrac{9}{11}\leq \dfrac{a}{36} \leq \dfrac{11}{13}

11

9

≤

36

a

≤

13

11

Solving for a, we have a=30.

The fraction 30/36 can be simplified to 5/6. So, we have

\dfrac{9}{11}\leq \dfrac{5}{6} \leq \dfrac{11}{13}

11

9

≤

6

5

≤

13

11

and this is the smallest possible denominator.

Answer:

If the number of miles is 6

Step-by-step explanation:

Since they vary with different rates ($/mile in our case), such equality can only be true for a specific amount of miles.  Less miles and the left part ($2.50...) would be higher, more miles and the right part ($1.00...) would be higher because it grows faster.

So, that's the number of miles for which the equation is true?

2.50 + 0.50m = 1.00 + 0.75m

Let's regroup similar terms:

1.50 = 0.25m

the isolate m

m = 6

So, if the ride covers 6 miles, the equation is true:

2.5 + 0.5 (6) = 1.00 + 0.75 (6)

2.5 + 3 = 1 + 4.50

5.5 = 5.5

Answer:

One cab charges an initial fee of $2.50 and then $0.50 for every mile. The other cab company charges an initial fee of $1.00 and then $0.75 for every mile.

Step-by-step explanation: