Show that x +1 is a factor of f(x) =2x^3 +3x^2 - 5x - 6

Answer:

B) 17 games.

Step-by-step explanation:

Let g represent the number of games Mark played.

Since there is a $5 entrance fee and each game costs an additional $1.25, we can write the expression:

[tex]1.25g+5[/tex]

Which represents that total cost after g games.

Since we know that Mark spent a total of $26.25:

[tex]1.25g+5=26.25[/tex]

Solve for g. Subtract five from both sides:

[tex]1.25g=21.25[/tex]

And divide both sides by 1.25. Hence:

[tex]g=17[/tex]

So, Mark played a total of 17 games.

Our answer is B.

Answer:

Mark played 17 games

Step-by-step explanation:

26.25-5 = 21.25

21.25 divided by 1.25 is 17

~hope this helps~

:)

Answer:

Step-by-step explanation:

Given:

Solving for x:

Answer:

128 on edg

Step-by-step explanation:

i thought it was 2 aswell double checked it on a graphing calculator its 128

Answer:

200

Step-by-step explanation:

Substitute 15 for y

[tex] \frac{1}{5} x - \frac{2}{3} (15) = 30[/tex]

[tex] \frac{1}{5} x - 10 = 30[/tex]

[tex] \frac{1}{5} x = 40[/tex]

[tex]x = 200[/tex]

Answer:19 You can use addition 12+7=19 19-7=12

Answer:

y = 13/3

Step-by-step explanation:

substitute y=2x+5 in x+y = 4

x+2x+5 = 4

3x+5=4

3x= -1

x= -1/3

substitute x= 1-/3 in x+y = 4

-1/3 +y = 4

y = 13/3

Answer:

The values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001. f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0

The explanation of the answer is now provided as follows:

Given:

f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0 …………….. (1)

[tex]R_{3}[/tex] = (x) = (e^z /4!)x^4

Since the aim is [tex]R_{3}[/tex](x) < 0.001, this implies that:

(e^z /4!)x^4 < 0.0001 ………………………………….. (2)

Multiply both sided of equation (2) by (1), we have:

e^4x^4 < 0.024 ……………………….......……………. (4)

Taking 4th root of both sided of equation (4), we have:

|xe^(z/4) < 0.3936 ……………………..........…………(5)

Dividing both sides of equation (5) by e^(z/4) gives us:

|x| < 0.3936 / e^(z/4) ……………….................…… (6)

In equation (6), when z > 0, e^(z/4) > 1. Therefore, we have:

|x| < 0.3936 -----> 0 < x < 0.3936

Therefore, the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.

Answer:You can also use tables to represent functions. Instead of using two ovals with circles, a table organizes the input and output values with columns. ... Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, the table does not represent a function.

Step-by-step explanation:

13% of 11900 films are action films =1547 films.

Answer:

[tex]{ \tt{ = \frac{13}{100} \times 11900 }} \\ = 1547 \: action \: films[/tex]

The red line is perpendicular to the y-axis.

option A.55°

Answer:

Solution given:

<x+<y=<z

exterior angle of a triangle is equal to the sum of two opposite interior angle

4n-18+n+8=133-6n

5n+6n=133+10

11n=143

n=143/11

n=13

exterior angle =133-6*13=55°

option A.55°

Answer:

No. Try harder next year.

Answer:

Step-by-step explanation:

The function is decreasing on (∞,∞)

The function never increases

Answer:

D. no function

Explanation:

We have a function because this graph passes the vertical line test. It is impossible to draw a single vertical line to have it pass through more than one point on the V shaped curve. Any x input leads to exactly one y output.

Even though we have a function, it is not one-to-one. Note how the curve fails the horizontal line test. It is possible to draw a horizontal line and have it pass through more than one point on the curve.

For example, draw a horizontal line through y = 3 and it passes through (-3,3) and (3,3) simultaneously. A one-to-one function is where any y output corresponds to exactly one x input, and vice versa. The output y = 3 corresponds to two different inputs x = -3 and x = 3 at the same time.

Why do we care about one-to-one functions? Well it's to help set up the inverse. The inverse goes the opposite direction of what the original function does. In this case, this function doesn't have an inverse unless we restrict the domain in some way.

Answer:

Step-by-step explanation:

3 years later:

3 years ago:

Solve for s by substitution:

Find the value of m:

Mother is 33 and son is 6

Answer:

96 green pens

Step-by-step explanation:

Super simple. You do: 14x+15x+24x=212 which is 53x = 212 and x=4

Green = 4*24=96

Answer:

15x3y.

Step-by-step explanation:

.

Hi!

The greatest common factor of 60x⁴y⁷, 45x⁵y⁵ and 75x³y is 15x³y

Answer:

To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative. If the signs are different subtract the smaller absolute value from the larger absolute value

Given:

The function is:

[tex]f(x)=-4(1.09)^x[/tex]

The table of values for the function g(x).

To find:

The equation that best compares the y-intercepts of f(x) and g(x).

Solution:

We have,

[tex]f(x)=-4(1.09)^x[/tex]

Putting [tex]x=0[/tex], we get

[tex]f(x)=-4(1.09)^0[/tex]

[tex]f(x)=-4(1)[/tex]

[tex]f(x)=-4[/tex]

So, the y-intercept of the function f(x) is -4.

From the given table of values, it is clear that the function f(x) passes through the point (0,-4). So, the y-intercept of the function g(x) is -4.

The y-intercept of f(x) is equal to the y-intercept of g(x).

Therefore, the correct option is A.

Answer:

A) The y-intercept of f(x) is equal to the y-intercept of g(x).

Answer:

I believe its A

Step-by-step explanation:

Substitue vales into the equation and check! Lmk if it was ccorrect!

Answer:

volume of the sphere=4/3πr³

=4/3×3×1³ inch³

=4 inch³

Answer: $83.94

Step-by-step explanation:

69.95 + 69.95(0.2) = 69.95(1 + 0.2) = 69.95(1.2) = 83.94

Answer:

36?

Step-by-step explanation:

Answer:

42 Triangles

Step-by-step explanation:

Count all the triangles one by one and determine the # of triangles.

Hello,

[tex]f^{-1}(f(58))=(f^{-1}*f)(58)=1(58)=58\\f(f(5)=f(9)=11\\[/tex]

Answer:

6 x 0,30 = $1,80

$3,30 - $1,80 = $1,50

$1,50 - $1,25 = $0,25 (not enough money)

you can buy 1 pad of paper

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

Pull out a common factor of 10⁷:

10⁹ + 10⁸ + 10⁷ = 10⁷ (10² + 10¹ + 10⁰)

… = 10⁷ × 111

Factorize 10 as 2 × 5, then distribute the power of 7:

… = 2⁷ × 5⁷ × 111

Pull out a factor of 5 and multiply it with 111:

… = 2⁷ × 5⁶ × 5 × 111

… = 2⁷ × 5⁶ × 555

So 555 divides 10⁹ + 10⁸ + 10⁷.

Answer:

19.

h=0, the result is 1000×2⁰ = 1000

this is the population of bacteria the excitement started with at the very beginning.

h=-3, the result is 1000×2-³ = 1000/(2³) = 1000/8 = 125

this is a calculation 3 hours backwards from the very start of the experiment, saying that if we started the experiment 3 hours earlier, this would have had to be the starting population of the bacteria so we would arrive at the same amount of population at any given time (value of h).

20.

D 25x⁶

Step-by-step explanation:

for 19 there is not more explanation. it is all ashtray in the answer.

for 20 we see that we are dealing with a square, so ask 4 sides have the same length.

one side is 5x³.

the area of a square is simply side².

so, here (5x³)² = 25x⁶

Answer:

Step-by-step explanation:

If the 2 lines are parallel

then x = 70 cos ( alternate interior angle)

but if not sorry man I just in grade 9 its my best effort

Really sorry. <3

:(

Given:

The given function is:

[tex]f_1(x)=-3\cdot 2^{x-5}-4[/tex]

The graph of the function is given.

To find:

The end behavior of the given function.

Solution:

We have,

[tex]f_1(x)=-3\cdot 2^{x-5}-4[/tex]

From the given graph it is clear that the function approaches to -4 at x approaches negative infinite and the function approaches to negative infinite at x approaches infinite.

[tex]f_1(x)\to -4[/tex] as [tex]x\to -\infty[/tex]

[tex]f_1(x)\to -\infty[/tex] as [tex]x\to \infty[/tex]

Therefore, the end behaviors of the given function are:

[tex]f_1(x)\to -4[/tex] as [tex]x\to -\infty[/tex]

[tex]f_1(x)\to -\infty[/tex] as [tex]x\to \infty[/tex]

Answer:

70= (x+3)

Step-by-step explanation:

the length of the rectangle  its width by 3 inches, if the width is x,the length will be x+3. so A=LW= 70

To find= 70= (x+3)x

x= 7 or -10