i need help pls pls pls

The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.

Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.

f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)

= 1 - 5√(9 - x) / √(9 - x)

= 1 - 5 / √(9 - x).

To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.

Setting f'(x) = 0:

1 - 5 / √(9 - x) = 0

5 / √(9 - x) = 1

(√(9 - x))^2 = 5^2

9 - x = 25

x = 9 - 25

x = -16.

The critical point is x = -16.

We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.

Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).

For x < -16:

Plugging in a test value, let's say x = -17, into the derivative:

f'(-17) = 1 - 5 / √(9 - (-17))

= 1 - 5 / √(9 + 17)

= 1 - 5 / √26

≈ 1 - 0.97

≈ 0.03.

Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).

For -16 < x < 9:

Plugging in a test value, let's say x = 0, into the derivative:

f'(0) = 1 - 5 / √(9 - 0)

= 1 - 5 / √9

= 1 - 5 / 3

≈ 1 - 1.67

≈ -0.67.

Since f'(0) is negative, the function is decreasing in the interval (-16, 9).

For x > 9:

Plugging in a test value, let's say x = 10, into the derivative:

f'(10) = 1 - 5 / √(9 - 10)

= 1 - 5 / √(-1)

= 1 - 5i,

where i is the imaginary unit.

Since the derivative is not a real number for x > 9, we cannot determine the sign.

Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

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Answer:

Cube Root Calculator

Use this calculator to find the cube root of positive or negative numbers. Given a number x, the cube root of x is a number a such that a3 = x. If x positive a will be positive, if x is negative a will be negative. Cube roots is a specialized form of our common radicals calculator.

It will help you alot.

Step-by-step explanation:

Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

Answer:

13/15

Step-by-step explanation:

We Know

2/3 of them are chocolate chip cookies.

1/5 of them are sugar cookies.

What fraction of the cookies are chocolate chip or sugar?

2/3 + 1/5 = 10/15 + 3/15 = 13/15

So, 13/15 of the cookies are chocolate chip or sugar.

Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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Answer:

If it's the hour hand, 1/4 of a day or 6 hours have passed. If it's the minute hand, 1/48 of a day or 30 minutes have passed.

Step-by-step explanation:

BRAINLIEST, PLEASE!

Answer:

1/27 units cubed or 0.037037... units cubed

Step-by-step explanation:

Volume of a cube = s*s*s : Where s is a side length.

The volume of the first cube is 1 cubed, which means that each side length is 1. (s=1)

The volume of the second cube in relation to the first cube can be found by multiplying each side length by 1/3.

Volume of second cube= (1/3s)(1/3s)(1/3)s

Volume of second cube= (1/3)(1/3)(1/3)

Volume of second cube= 1/27

The function is decreasing for all real values of x where x < 1.5. Then the correct option is D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The graph of the function f(x) = (x - 4)(x + 1) is shown below.

The vertex of the function is calculated as,

f(x) = (x - 4)(x + 1)

f(x) = x² - 3x + 9/4 - 9/4 - 4

f(x) = (x - 1.5) - 6.25

The vertex of the function will be at (1.5, 6.25).

The function is decreasing for all real values of x where x < 1.5. Then the correct option is D.

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With a triangle, the sum of any two side lengths must be greater than the third side length. If this is not true, then the side lengths cannot make a triangle. Let's go through each set of side lengths and determine which would and wouldn't work.

a. 3, 4, 8 - will not make a triangle

3 + 4 = 7 > 8 = false

3 + 8 = 11 > 4 = true

4 + 8 = 12 > 3 = true

b. 7, 6, 12 - will make a triangle

7 + 6 = 13 > 12 = true

7 + 12 = 19 > 6 = true

6 + 12 = 18 > 7 = true

c. 5, 11, 13 - will make a triangle

5 + 11 = 16 > 13 = true

5 + 13 = 18 > 11 = true

11 + 13 = 24 > 5 = true

d. 4, 6, 12 - will not make a triangle

4 + 6 = 10 > 12 = false

4 + 12 = 16 > 6 = true

6 + 12 = 18 > 4 = true

e. 4, 6, 10 - will not make a triangle

4 + 6 = 10 > 10 = false

4 + 10 = 14 > 6 = true

6 + 10 = 16 > 4 = true

Hope this helps!

Answer:

Dawn's Flowers earned a greater rate of return than Pop's Coffeeshop

Ren's initial investment in Dawn's Flowers was greater than her initial investment in Pop's Coffeeshop.

The number of people that went to zoo is 261.

From the information, of all the students at Pioneer Elementary, 2/5 went on a field trip to the art museum, and 3/4 of the remainder went on a field trip to the zoo, and the rest stayed at school.

Those who went to the zoo will be:

= 3/4 × ( 1 - 2/5)

= 3/4 × 3/5

= 9/20

Since there are 580 students who attended Pioneer Elementary, those that went to the zoo will be:

= 9/20 × 580

= 261

There are 261 people who went to the zoo.

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Answer:

See below.

Step-by-step explanation:

The 7-ounce can costs $3.49: ($3.49)/(7 oz) = $0.499/oz

The 16-ounce can costs $6.49: ($6.49)/(16 oz) = $0.406/oz

The 24-ounce can costs $8.49: ($8.49)/(24 oz) = $0.354/oz

The 30-ounce can costs $10.99: ($10.99)/(30 oz) = $0.366/oz

ummmmmmmmmmmmm 143 degrees (sorry for the um i needed 20 characters)

give me brain plz.

Answer: There is a 0.88% chance of pulling three red marbles in a row.

Step-by-step explanation:

First pull = 4/15 (26.67%)

second pull = 3/14 (21.43%)

Third pull = 2/13 (15.38%)

You need to multiply these three fractions to get the probability of pulling three reds in a row, doing that will get you 4/455 or 0.88%

Answer:

First, we rearrange the equation to isolate the y-term on one side:

dy/dx + ytanx = secx

Then, we multiply both sides by the integrating factor, which is e^(∫tanx dx) = e^(ln|secx|) = |secx|: | secx| dy/dx + ysecx tanx = 1

Next, we can write this as the derivative of a product using the product rule: d/dx (y |secx|) = 1

Integrating both sides with respect to x, we get:  y |secx| = x + C

where C is the constant of integration. Solving for y, we have:

y = (x + C)/|secx|

Note that there is a singularity at x = (2n + 1)π/2, where the denominator |secx| is zero. At these points, the solution is not defined

The difference in what you have as a balance in your check register versus your online statment by 11/18 is $34.78.

The combined total of the 2 transactions they have in common is $206.99.

Use the amount in 11/1 as your balance, then compute by deducting the checks (chk) and debit purchases and adding the deposits. Then get the difference.

Check Register:

Total = 397.45 - 50.32 - 16.32 + 190.67

Total = 521.48

Online Statement:

Total = 486.44 - 84.80 - 19.73 - 16.32 + 190.67

Total = 556.26

Difference = online - check register

Difference = 34.78

On 11/10 and 11/18, check and online have the same transactions (same date, same amount) which are 16.32 and 190.67. Add them together to get 206.99

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Answer:

3/5

Step-by-step explanation:

You'll get 0.6 if you divide it

Answer:

3/5

Step-by-step explanation:

5/12 = 0.41666

4/9 = 0.4444

3/7 = 0.4285714

7/13 = 0.538461

3/5 = 0.6

Answer:

The sound takes time to go to a point and reflect back to your position.

It means the sound went twice a distance.

=> Suppose it takes about 0.5 seconds to hear the echo, the canyon wall would be [750 x (0.5/3600)]/2 = 0.052 miles

=> Suppose it takes about n seconds to hear the echo, the canyon wall would be [750 x (n/3600)]/2 miles

Hope this helps!

:)

The distance the canyon wall is away is 33000 feet.

The distance the canyon is away in terms of n is 66000n feet.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Speed = 750 miles per hour

Time = 0.5 seconds

Distance = Speed x Time

Now,

1 mile = 5280 feet

750 miles = 3960000 feet

1 hour = 60 seconds

So,

Speed = (3960000/60) feet per second

Distance = 66000 x 0.5 feet = 33000 feet

This means,

The canyon wall is 33000 feet away.

Now,

For n seconds,

The canyon wall is 66000n feet away.

Thus,

The canyon wall is 33000 feet away.

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Answer:

a₂ = 14 , a₃ = 11

Step-by-step explanation:

Given the first term a₁ = 17 , then

a₂ = a₁ - 3 = 17 - 3 = 14

a₃ = a₂ - 3 = 14 - 3 = 11

Answer:

d² - 24d + c = (d - 12)² - 144 + c

Answer: F

Step-by-step explanation:

Answer: correct answer is A

Step-by-step explanation:

Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.

\(\displaystyle \int^{\tfrac{ \pi} 3}_{\tfrac{\pi}6} \left[2\sec^2 (w) - 8\csc (w) \cot (w)\right]~dw\\\\\\=2\displaystyle \int^{\tfrac{ \pi} 3}_{\tfrac{\pi}6} \sec^2 (w)~ dw -8\displaystyle \int^{\tfrac{ \pi} 3}_{\tfrac{\pi}6} \csc (w) \cot(w) ~ dw\\\\\\=2 \biggr[\tan (w) \biggr]^{\tfrac{\pi}3}_{\tfrac{\pi}6} +8\biggr[\csc (w) \biggr]^{\tfrac{\pi}3}_{\tfrac{\pi}6}\\\\\\=2\left( \tan \dfrac{\pi}{3} - \tan \dfrac{\pi}{6} \right) +8 \left( \csc \dfrac{\pi}{3} - \csc \dfrac{\pi}{6}\right)\\\\\\\)

\(=2\left( \sqrt 3-\dfrac 1{\sqrt 3} \right) +8 \left( \dfrac 2{\sqrt 3} - 2 \right)\\\\\\=2\left( \dfrac{2}{\sqrt 3} \right) +8 \left(\dfrac{2-2\sqrt 3}{\sqrt 3}\right)\\\\\\=\dfrac 4{\sqrt 3} + 16 \left(\dfrac{1-\sqrt 3}{\sqrt 3}\right)\\\\\\=\dfrac{4}{\sqrt 3} \left( 1 + 4-4\sqrt 3 \right)\\\\\\=\dfrac 4{\sqrt 3}\left(5-4\sqrt 3\right)\\\\\\=\dfrac{4}{3}\left(5\sqrt 3-12\right)\)

Answer:

magazine ads - 11, 33, 44, 66

newspaper ads - 2, 6, 8, 12

Answer:

Jodi must score at least 8.8 points.

Step-by-step explanation:

Step 1: Given data

Score 1 (S1): 8.9

Score 2 (S2): 7.1

Score 3 (S3): 9.2

Average (Av): 8.5

Score 4 (S4): ?

Step 2: Calculate the Score 4 so that the average is 8.5

The average is equal to the sum of the scores divided by the number of scores (4).

Av = (S1 + S2 + S3 + S4)/4

4 × Av = S1 + S2 + S3 + S4

S4 = 4 × Av - S1 - S2 - S3

S4 = 4 × 8.5 - 8.9 - 7.1 - 9.2

S4 = 8.8

Jodi must score at least 8.8 points.

The function y=3x+12 in factored form is (3x+12) and the zero of the function is -4.

A linear function is a polynomial of degree 1, or a mathematical expression that describes a relation between two variables. It is often written in the form y = mx + b, where m is the slope, x is the independent variable, and b is the y-intercept.

The factored form of a linear equation is the same as the standard form of the equation, with the exception that the coefficients of the variables are each expressed as a product of their prime factors. In the case of y=3x+12, the factored form is (3x+12). The zero of the function (also known as the root of the equation) is the value of the variable that will result in a value of 0 for the equation. To find the zero of the function, we need to set the equation equal to 0 and solve for the value of x. When we set y=0, we get 3x+12=0, which can be solved to get x=-4. Therefore, the zero of the function is -4.

The function y=3x+12 in factored form is (3x+12) and the zero of the function is -4.

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Answer:

my bad but give me them points

Answer:

100-25=75 75+40=115 115+5=120

Answer:

The answer is 40.

Step-by-step explanation:

100 - (25+40) +5

100- (65) +5

35 +5

= 40