example. consider the function f (x) = x^3 – 3x + 1 (1) find the critical points of f(x) and the intervals on which the function f(x) is increasing and decreasing, and determine relative extrema of f(x) (11) find the intervals on which the function f(x) is concave up and concave down and locate the inflection points of f(x)

Answer:

9/20

Step-by-step explanation:

3/8 - 4/5 - 3/8 + 5/4

-16/20 + 25/20

-16 + 25/20

9/20

Answer: The answer is 9/20.

Step-by-step explanation:

Answer:

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr

Step-by-step explanation:

Let the speed of George the Pigeon in still air = [tex]u[/tex] miles/hr

Let the speed of air = [tex]v[/tex] miles/hr

Distance traveled = 72 miles

Relative speed against the wind = [tex](u-v)[/tex] miles/hr

Time taken against the wind = 4 hours

Relative speed with the wind = [tex](u+v)[/tex] miles/hr

Time taken against the wind = 3 hours

Using the formula:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

[tex]u-v=\dfrac{72}{4}\\\Rightarrow u-v=18 ..... (1)[/tex]

[tex]u+v=\dfrac{72}{3}\\\Rightarrow u+v=24 ..... (2)[/tex]

Adding (1) and (2):

[tex]2u=42\\\Rightarrow u = 21\ miles/hr[/tex]

By equation (1):

[tex]v = 21-18\\\Rightarrow v = 3\ miles/hr[/tex]

Therefore, the answer is:

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr

Answer:

Permimeter=14

Step-by-step explanation:

4+4=8. 3+3=6. 8+6=14. Perimeter equals 14.

I think -2/7.

-2/7 is closer to 0 which is neither positive nor negative.

-5/7 is closer to a whole negative number.

Answer: A is (8.5,4) B is (2.5,1.5)

Step-by-step explanation:

Answer:

f(7) =5

Step-by-step explanation:

f(x) = x - 2

f(7) means let x = 7

f(7) = 7-2

f(7) =5

Answer:

B. 5

Step-by-step explanation:

f(x) = x - 2 when x = 7

f(7) = 7 - 2

f(7) = 5

Best of Luck!

Answer:

y=4x−14

Step-by-step explanation:

solve for y.

y+2=4(x−3)

distribute 4

y+2=4x-12

subtract 2 from both sides

y+2+−2=4x−12+−2

y=4x−14

Answer:

y=4x−14

Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250

Answer:

[tex]T_n = 8+ 4n[/tex]

[tex]T_{11} = 52[/tex]

Step-by-step explanation:

Given

[tex]Sequence: 12, 16, 20, 24[/tex]

Solving (a): Write a formula

The above sequence shows an arithmetic progression

Hence:

The formula can be calculated using:

[tex]T_n = a + (n - 1) d[/tex]

In this case:

[tex]a = First\ Term = 12[/tex]

Difference (d) is difference of 2 successive terms

So:

[tex]d = 16 - 12 = 20 - 16 = 24 - 20[/tex]

[tex]d = 4[/tex]

Substitute 4 for d and 12 for a in [tex]T_n = a + (n - 1) d[/tex]

[tex]T_n = 12 + (n - 1) * 4[/tex]

Open Bracket

[tex]T_n = 12 + 4n - 4[/tex]

Collect Like Terms

[tex]T_n = 12 - 4+ 4n[/tex]

[tex]T_n = 8+ 4n[/tex]

Hence, the explicit formula is: [tex]T_n = 8+ 4n[/tex]

Solving (b): 11th term

This implies that n = 11

Substitute 11 for n in: [tex]T_n = 8+ 4n[/tex]

[tex]T_{11} = 8+ 4 * 11[/tex]

[tex]T_{11} = 8+ 44[/tex]

[tex]T_{11} = 52[/tex]

Answer:

A) The explicit formula for the sequence is [tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex].

B) The 11th term of the sequence is 62.

Step-by-step explanation:

A) Let [tex]f(0) = 12[/tex], we notice that sequence observes an arithmetic progression, in which there is a difference of 4 between two consecutive elements. The formula for arithmetic progression is:

[tex]f(n) = f(0) +r\cdot n[/tex] (1)

Where:

[tex]f(0)[/tex] - First value of the sequence, dimensionless.

[tex]r[/tex] - Arithmetic increase rate, dimensionless.

[tex]n[/tex] - Term of the value in the sequence, dimensionless.

If we know that [tex]f(0) = 12[/tex] and [tex]r = 4[/tex], then the explicit formula for the sequence is:

[tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex]

B) If we know that [tex]f(n) = 12+4\cdot n[/tex] and [tex]n = 10[/tex], the 11th term of the sequence is:

[tex]f(10) = 12+4\cdot (10)[/tex]

[tex]f(10) = 62[/tex]

The 11th term of the sequence is 62.

Answer:

[tex]t = 11.085[/tex]

Step-by-step explanation:

The expression is given as:

[tex]h=-16t^2+24t+1700[/tex]

Required

Determine how long it will hit the ground

When the pebble is on the ground, this implies that h = 0

So, we have that:

[tex]h=-16t^2+24t+1700[/tex] becomes

[tex]0=-16t^2+24t+1700[/tex]

Reorder

[tex]-16t^2+24t+1700 = 0[/tex]

Multiply through by -1

[tex]16t^2-24t-1700 = 0[/tex]

Solve using quadratic formula [tex]ax^2 + bx + c = 0[/tex]:

[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 16[/tex]   [tex]b = -24[/tex]    [tex]c = -1700[/tex]

So, we have:

[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]t = \frac{-(-24) \± \sqrt{(-24)^2 - 4*16*(-1700)}}{2*16}[/tex]

[tex]t = \frac{24 \± \sqrt{576 + 108800}}{32}[/tex]

[tex]t = \frac{24 \± \sqrt{109376}}{32}[/tex]

[tex]t = \frac{24 \± 330.72}{32}[/tex]

[tex]t = \frac{24 + 330.72}{32}[/tex] or [tex]t = \frac{24 - 330.72}{32}[/tex]

[tex]t = \frac{354.72}{32}[/tex] or [tex]t = \frac{-306.72}{32}[/tex]

[tex]t = 11.085[/tex] or [tex]t = -9.585[/tex]

But time can't be negative.

So: [tex]t = 11.085[/tex]

Hence, it will take 11.085 seconds to hit the ground

Answer:

1 more slice

Step-by-step explanation:

1/2 of the pizza would be 4 since (8÷2=4)

So since we need 4 pizza slices to be gone in order to make 1/2 of the pizza...

and since we know that there are three slices missing....

the equation for this is 8-3=5 and we can't have 5 we need 4 so we need 1 more slice to be eaten

Answer:

its B

Step-by-step explanation:

The graph that would most likely be associated with the given model is an option(b).

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

The regression equation is:

n(t) = 3.53t^2 - 33.04t + 117.56

The above regression equation is a quadratic function and non-linear.

thus, the graph must represent a non-linear relationship.

From the graphs, the only graph of the option (b) represents a quadratic function.

Other given options are either linear models or exponential.

Hence, the graph that would most likely be associated with the given model is an option(b).

Read more about regression models at:

https://brainly.com/question/18469538

#SPJ2

Answer:

[tex]m=\frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Alg

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-4, 7)

Point (-2, 8)

Step 2: Find slope m

Answer:

22%of 2346 is 516.12 which would be 516 persons

Answer:

The value of x = 20.05

Step-by-step explanation:

As we know that the sum of the angles in a triangle is 180°.

From the diagram, we can say that the sum of the angles A, B, and C must be 180°.

so the equation of the sum of the angles of a triangle will be:

[tex]A+B+C=180^{\circ }[/tex]

As

[tex]A=43\frac{1}{4}^{\circ }[/tex]

[tex]B=5x^{\circ }[/tex]

[tex]C^{\circ }=36.5^{\circ }[/tex]

Substituting the values in the equation of the sum of the angles of a triangle to find the value of x.

[tex]A+B+C=180^{\circ }[/tex]

[tex]43\frac{1}{4}+5x+36.5=180[/tex]

[tex]\frac{173}{4}+5x+36.5=180[/tex]             ∵ [tex]43\frac{1}{4}=\frac{173}{4}[/tex]

Subtract [tex]\frac{173}{4}+36.5[/tex] from both sides

[tex]\frac{173}{4}+5x+36.5-\left(\frac{173}{4}+36.5\right)=180-\left(\frac{173}{4}+36.5\right)[/tex]

[tex]5x=100.25[/tex]

[tex]\frac{5x}{5}=\frac{100.25}{5}[/tex]

[tex]x=20.05[/tex]

Therefore, the value of x = 20.05

VERIFICATION:

[tex]A+B+C=180^{\circ }[/tex]

[tex]43\frac{1}{4}+5x+36.5=180[/tex]

[tex]43\frac{1}{4}+5\left(20.05\right)+36.5=180[/tex]

[tex]180=180[/tex]

Answer:

Step-by-step explanation:

Answer:

The area of the triangle is 24.

Answer:

2065 ÷ 7 = 295

295 × 8 = 2360

Christina will have scored 2,360 points.

Answer:

C

Step-by-step explanation:

Answer:

Pop in 1990 = 81 million rats

Pop in 2005 = 127 million rats

Step-by-step explanation:

Given the function, the population of rats in 1990 is when we replace t with "0" which strictly gives the coefficient 81 that represents 81 million rats.

The rat population in 2005 is given by the formula when t = 15

This is: approximately 127 million rats.

Answer:

473

Step-by-step explanation:

1:1

473:x

Cross Multiply

1x=473

Divide both sides by 1

x=473

Answer:

The answer is A) y+4 =3(x+3)

Step-by-step explanation:

The slope is the rate of change, which you can see from the graph is m = 3/1 = 3.

Your options are given in point-slope form:

y-y1=m(x-x1)

Pick a point from the graph. I used;

(-3, -4). Now plug this into your point slope form equation.

y-(-4) = 3(x-(-3))

y+4=3(x+3)

Answer:

A

Step-by-step explanation:

Since Roberto bought 3 gifts, which are each $25.90, that would mean it would be 3×25.90. Plus, he bought himself a treat would would be a +4.

Answer:

Y = 5

Step-by-step explanation:

first you subtract 5y from 9y to get 4y, then you add 13 to 7 to get 20, and then you divide 4 and 20 for your answer.

Answer:

[tex]Selection = 345025251[/tex]

Step-by-step explanation:

Given

[tex]Total = 51[/tex]

[tex]Numbers = 7[/tex]

Required

Determine number of selection

It's important that

- The first number can be any of the 51 numbers

- The second number can be any of the 51 numbers

- The third number can be any of the 51 numbers

- The fourth number can be any of the 51 numbers

And so on

Hence, number of selections is:

[tex]Selection = 51 * 51 * 51 * 51 * 51[/tex]

[tex]Selection = 51^5[/tex]

[tex]Selection = 345025251[/tex] ways

Answer:

$25000 * 40% = 100.000

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

Answer:

10000

Step-by-step explanation:

LOL its ok :)

Answer:

10000

Step-by-step explanation:

When we multiply two numbers, the answer we get is called 'product'. The number of objects in each group is called 'multiplicand,' and the number of such equal groups is called 'multiplier'. In math, to multiply means to add equal groups. ... The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product. The four basic mathematical operations--addition, subtraction, multiplication, and division--have application even in the most advanced mathematical theories. Thus, mastering them is one of the keys to progressing in an understanding of math and, specifically, of algebra.

:D

Brainliest?

Answer:

Hotdogs are $12.00 for the dozen or $1.00 each

Bratwursts are $18.00 for the dozen or $1.50 each

Step-by-step explanation:

Answer:

answer is c, I know because I took the test on edginuity

Answer:[tex]\frac{161}{4}[/tex]

Step-by-step explanation: