Which polynomial function has a leading coefficient of 3 and roots –4, i, and 2, all with multiplicity 1?
f(x) = 3(x + 4)(x – i)(x – 2)
f(x) = (x – 3)(x + 4)(x – i)(x – 2)
f(x) = (x – 3)(x + 4)(x – i)(x + i)(x – 2)
f(x) = 3(x + 4)(x – i)(x + i)(x – 2)

Answer:

A"= -5,2

B"= -6,-1

C"= -4,0

(I think these are right)

Answer:

A=(5,2)

B=(5,1)

C= (3,0)

Step-by-step explanation:

Answer:

Left black

\( x < 13\)

Right black

\(x \geqslant 7\)

Blue

\(x \leqslant 1\)

Red

\(x > 2\)

Step-by-step explanation:

NOTES:

bold arrow means (less than or equal to OR more than or equal to

\( \leqslant \: or \: \geqslant \)

thin arrow mean (less than OR more than)

\( < \: or \: > \)

AND you can also put any alphabet to represent unknown

thats it hope this helps :)

Answer:

Step-by-step explanation:

The required inequality is y ≥ - 0.6x + 45 which represents the number of hours Samir could work to earn enough to buy the game system. which is the correct answer would be an option (A).

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The video game system will cost at least $450.

He earns $6 per hour babysitting and $10 per hour tutoring.

Let x be the number of hours babysitting and y be the number of hours of tutoring.

According to the given situation, we can write the inequality would be as:

⇒ 6x + 10y ≥ 450

Rearrange the terms of variables in the above inequality,

⇒ 10y ≥ 450 - 6x

Divided by 10 into both sides of the above inequality,

⇒ 10y/10 ≥ 450/10 - 6x/10

⇒ y ≥ 45 - 0.6x or

⇒ y ≥ - 0.6x + 45

Thus, the required inequality is y ≥ - 0.6x + 45 which represents the number of hours Samir could work to earn enough to buy the game system.

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Data

• Total phone calls: 154

• Second evening ( ,s ,): 10 more calls than the first evening ( ,f ,)

• Third evening ( ,t ,): 4 times as many calls as ,f

Procedure

We have to translate the given information into algebraic expressions.

• Maria received a total of 154 phone calls at the call center:

where f represents the first evening, s the second, and t the third.

• The second evening, she received 10 more calls than the first evening:

• The third evening, she received 4 times as many calls as the first evening:

As t and s can be used in terms of f, we will replace the second and third equations that we build in the first one:

Eliminating the parenthesis we get:

Solving for f:

Thus, the number of phone calls the first evening was 24.

Then, we have to replace this calculated value in the other equations to get s and t.

• Solving for ,s

• Solving for ,t

To prove our answers are correct, we can do the following:

Answer

• Number of phone calls the first evening: 24

• Number of phone calls the second evening: 34

• Number of phone calls the third evening: 96

Answer:

2/5

Step-by-step explanation:

40 divided from 20100 divided by 20 is 25

Answer:

2/5

Step-by-step explanation:

40/100

factor

(2*2*2*5)/(2*2*5*5)

cross off like factors

2/5

The area of the region inside the circle r = 4cos(θ) and to the right of the vertical line r = sec(θ) is \(2\pi - 2\cos^{-1}\left(\frac{1}{4}\right) - \sqrt{15}\).

To find the area of the region inside the circle r = 4cos(θ) and to the right of the vertical line r = sec(θ), we need to determine the limits of integration for θ.

First, let's find the values of θ where the circle and the vertical line intersect:

r = 4cos(θ)

sec(θ) = 4cos(θ)

To simplify the equation, let's convert sec(θ) to its reciprocal form:

1/cos(θ) = 4cos(θ)

Multiplying both sides by cos(θ), we get:

1 = 4\(cos^2\)(θ)

Rearranging the equation, we have:

4\(cos^2\)(θ) - 1 = 0

Using the identity \(cos^2\)(θ) - \(sin^2\)(θ) = 1, we can rewrite the equation as:

\(cos^2\)(θ) - \(sin^2\)(θ) = 1/4

Applying the double-angle formula for cosine, we get:

cos(2θ) = 1/4

Taking the inverse cosine of both sides, we have:

2θ = ± \(\cos^{-1}\left(\frac{1}{4}\right)\)

Solving for θ, we get two values:

θ = ± (1/2) \(\cos^{-1}\left(\frac{1}{4}\right)\)

Since we are interested in the region to the right of the vertical line, we'll consider the positive value of θ:

θ = (1/2) \(\cos^{-1}\left(\frac{1}{4}\right)\)

Now, we can find the area by evaluating the integral:

A = ∫[θ, π/2] 1/2 (\(r^2\)) dθ

Substituting the equations for r, we have:

\(A = \int_{\theta}^{\frac{\pi}{2}} \frac{1}{2} (4\cos^2(\theta)) \, d\theta\)

Simplifying further:

\(A = \int_{\theta}^{\frac{\pi}{2}} 8\cos^2(\theta) \, d\theta\)

Using the double-angle formula for cosine, we have:

A = ∫[θ, π/2] 4(1 + cos(2θ)) dθ

Integrating term by term, we get:

A = [4θ + 2sin(2θ)] evaluated from θ to π/2

Now, Substituting the limits of integration, we get:

A = [4(π/2) + 2sin(2(π/2))] - [4θ + 2sin(2θ)] evaluated from θ to π/2

Simplifying:

A = 2π + 2sin(π) - (4θ + 2sin(2θ))

Since sin(π) = 0, we can simplify further:

A = 2π - (4θ + 2sin(2θ))

Now, we need to substitute the value of θ, which we found earlier:

θ = (1/2) \(\cos^{-1}\left(\frac{1}{4}\right)\)

Substituting this value, we have:

A = 2π - (4(1/2) \(\cos^{-1}\left(\frac{1}{4}\right)\) + 2sin(2(1/2) \(\cos^{-1}\left(\frac{1}{4}\right)\)))

Simplifying:

A = 2π - (2 \(\cos^{-1}\left(\frac{1}{4}\right)\) + 2sin(\(\cos^{-1}\left(\frac{1}{4}\right)\)))

Since cos(\(\cos^{-1}\left(x\right)\)) = x, we have:

A = 2π - (2 \(\cos^{-1}\left(\frac{1}{4}\right)\) + 2(√(1 - (1/4)^2)))

Simplifying further:

A = 2π - (2 \(\cos^{-1}\left(\frac{1}{4}\right)\) + 2(√(15/16)))

A = 2π - 2 \(\cos^{-1}\left(\frac{1}{4}\right)\) - √15

So, the area of the region inside the circle r = 4cos(θ) and to the right of the vertical line r = sec(θ) is \(2\pi - 2\cos^{-1}\left(\frac{1}{4}\right) - \sqrt{15}\).

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Answer:

10

Step-by-step explanation:

Answer: it’s 2

Step-by-step explanation: so u subtract

Answer: A d=2.67

Step-by-step explanation:

Simplifying

4.12 + -1d = 1.45

Solving

4.12 + -1d = 1.45

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-4.12' to each side of the equation.

4.12 + -4.12 + -1d = 1.45 + -4.12

Combine like terms: 4.12 + -4.12 = 0.00

0.00 + -1d = 1.45 + -4.12

-1d = 1.45 + -4.12

Combine like terms: 1.45 + -4.12 = -2.67

-1d = -2.67

Divide each side by '-1'.

d = 2.67

Simplifying

d = 2.67

Answer:

A. 2.67

Step-by-step explanation:

d = 2.67

4.12 - 2.67 = 1.45

Answer:

16:8 2:1

Step-by-step explanation:

it's both 8 and 4 times 2 on each side, and then divided on each side

Answer:

Step-by-step explanation:

Answer: No Solutions

Step-by-step explanation: There are no values of x that make the equation true.

I hope this helps you out.

Answer:

x answer: x = ( y + 134 ) / 18

y answer: y = 18x - 134

Step-by-step explanation:

y - 10 = 18( x - 8 )

y - 10 = 18x - 144

x answer:

y - 10 = 18x - 144

y + 134 = 18x

( y + 134 ) / 18 = x

y answer:

y - 10 = 18x - 144

y = 18x - 134

Answer:oline

$650

$150

$130

Groceries

Car Insurance

590

Clothes

$80oline

$650

$150

$130

Groceries

Car Insurance

590

Clothes

$80

About what percent of Davon's monthly budget w

About what percent of Davon's monthly budget w

Step-by-step explanation:

oline

$650

$150

$130

Groceries

Car Insurance

590

Clothes

$80

About what percent of Davon's monthly budget w

Answer:

the one i got is 12%

Step-by-step explanation:

but im not sure if its correct

Answer:

mP = 35

Step-by-step explanation:

QR = 80

QS = 150

The measure of the angle formed by a secant and a tangent intersecting in the exterior of a circle is half the difference between the measures of the intercepted arcs.

This means that (150-80)/2 = mP

mP = 35 degrees

Hope this helps!

Area of a right triangle

A = (B x H )/2 = (4 x 13)/2 = 52/2 = 26

then

Area A = 26 m^2

Answer:

11.6°

Step-by-step explanation:

In ΔGHI, g = 3.4 cm, i = 8.2 cm and ∠I=29°. Find all possible values of ∠G, to the nearest 10th of a degree.

We solve the above question using Law of Sines

= g/sin G = I / sin I

Substituting

= 3.4/ sin G= 8.2/ sin 29

Cross Multiply

3.4 × sin 29 = sin G × 8.2

sin G = 3.4 × sin 29/ 8.2

G = arc sin[3.4 × sin 29/ 8.2]

G = arcsin [0.2]

G = 11.59653°

Approximately = 11.6°

∠G = 11.6°

Hey there,

We have,

f(x) = x² + 11x + 30g(x) = x + 6

Now,

(f.g)(x) = f(g(x))

Substituting...

g(x) = x + 6f(g(x)) = f(x + 6)

Now,

f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132

So,The value is x² + 23x + 132

The total number of chocolate chips in the cookies is 1000. All the cookies, except one, have the same number of chips, while the remaining cookie has one more chip than the others. The number of cookies in the jar is between one dozen (12 cookies) and three dozen (36 cookies).

To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we can follow these steps:

1. Let's assume the number of cookies in the jar is "x". Since the number of cookies is between one dozen and three dozen, we have the inequality: 12 ≤ x ≤ 36.

2. Since all the cookies, except one, have the same number of chips, we can divide the total number of chocolate chips by the number of cookies minus one. This gives us the number of chips in each cookie (excluding the one with the extra chip). So, the number of chips in each cookie is 1000 ÷ (x - 1).

3. The cookie with the extra chip has one more chip than the others. Therefore, the number of chips in the cookie with the extra chip is 1000 ÷ (x - 1) + 1.

4. To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we add the number of cookies (x) and the number of chips in the extra chip cookie (1000 ÷ (x - 1) + 1).

Remember that the number of cookies in the jar is between one dozen and three dozen, so the sum will vary depending on the number of cookies. You can substitute different values within the given range (12 ≤ x ≤ 36) to find different possible sums.

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The approximate area of the surface formed by revolving the polar equation over the given interval about the polar axis is 67.59 square units.

To solve the question, we can use the integration capabilities of a graphing utility to approximate to two decimal places the area of the surface formed by revolving the polar equation over the given interval about the polar axis. Polar curve is a type of curve that is made up of points that represent polar coordinates (r, θ) instead of Cartesian coordinates.

A polar curve can be represented in parametric form, but it is often more convenient to use the polar equation for a curve. According to the question, r = 7 cos(20), [0, Phi/4] is the polar equation and we need to find the approximate area of the surface formed by revolving the polar equation over the given interval about the polar axis.

To solve the problem, follow these steps: Convert the polar equation to a rectangular equation. The polar equation r = 7 cos(20) is converted to a rectangular equation using the following formulas: x = r cos θ, y = r sin θx = 7 cos (20°) cos θ, y = 7 cos (20°) sin θx = 7 cos (θ - 20°) cos 20°, y = 7 cos (θ - 20°) sin 20°

Sketch the curve in the plane. We can sketch the curve of r = 7 cos(20) by plotting the points (r, θ) and then drawing the curve through these points. Use the polar equation to set up the integral for the volume of the solid of revolution.

The volume of the solid of revolution is given by the formula: V = ∫a b πf2(x) dx where f(x) = r, a = 0, and b = Φ/4.We can find the volume of the solid of revolution using the polar equation: r = 7 cos(20) => r2 = 49 cos2(20) => x2 + y2 = 49 cos2(20)Thus, f(x) = √(49 cos2(20) - x2) = 7 cos(20°) sin(θ - 20°)

So, V = ∫a b πf2(x) dx = ∫0 Φ/4 π(7 cos(20°) sin(θ - 20°))2 dθStep 4: Use a graphing utility to evaluate the integral to two decimal places. Using a graphing utility to evaluate the integral, we get V ≈ 67.59.

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Answer:

Domain: All real numbers greater than or equal to 0 and less than or equal to 50

Range: All real numbers greater than or equal to 0 and less than or equal to 100

Step-by-step explanation

The workout is at 100% at 50 mins. Anything less would be under these two numbers.  Since the percentage of workout is on the y-axis, anything between zero and 100 can be possible. The time is on the x-axis, so anything 0 to 50 can be possible.  

heared about meet, wxa szcx ewn

Answer:

2/5^4

Step-by-step explanation:

2/5 is being multiplied four times

Answer:

the photos isn't clear!

The number of possible outcomes exists 21952. The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Probability exists a branch of mathematics that deals with numerical representations of the likelihood of an event happening or of a proposition being true. The probability of an event exists a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Given:

A 28-sided die is rolled 3 times.

28 × 28 × 28 = 21952.

Therefore, the number of possible outcomes exists 21952.

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The statement "The market for credit cards is not an example of a financial market" is not true. Credit cards are indeed a part of the financial market. Financial markets encompass various instruments and institutions involved in the facilitation of transactions, investments, and the allocation of capital.

This includes credit cards, which are financial instruments that allow individuals to borrow money and make purchases on credit. Credit card companies act as intermediaries between borrowers and lenders, providing credit to consumers and earning revenue through interest charges and transaction fees. Therefore, the market for credit cards is a significant component of the financial market, serving as a means of accessing credit and facilitating economic activity.

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The requried, 58.33% of a 14K gold ring is real gold.

To find the percentage of a 14K gold ring that is real gold, we can use the formula:

percentage = (part/whole) x 100

In this case, the "part" is the number of parts that are real gold, which is 14. The "whole" is the total number of parts, which is 24.

So the percentage of real gold in a 14K gold ring is:

percentage = (14/24) x 100 = 58.33%

Therefore, approximately 58.33% of a 14K gold ring is real gold.

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The electric force experienced by a charge Q1 due to the presence of another charge Q2 located at a distance r from Q1 is given by the Coulomb’s Law as:

F = (1/4πε0) (Q1Q2/r²)

where ε0 is the permittivity of free space and is equal to 8.854 x 10⁻¹² C²/Nm²

Given : Charge Q1 = 4 uCCharge Q2 = 8 uC - (-8 uC) = 16 uC

Distance between Q1 and Q2 = (6² + 2²)¹/²

= (40)¹/² cm

= 6.3246 cm

Substituting the given values in the Coulomb’s Law equation : F = (1/4πε0) (Q1Q2/r²)

F = (1/4π x 8.98755 x 10⁹ Nm²/C²) (4 x 10⁻⁶ C x 16 x 10⁻⁶ C)/(6.3246 x 10⁻² m)²

F = 6.21 x 10⁻⁵ N

Answer: The force experienced by a charge of 4 uC on the x-axis at x = 6 cm is 6.21 x 10⁻⁵ N.

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Hope the picture will help you

Answer: $19.59

Step-by-step explanation:

9.91 + 9.68 = 19.59

Answer:

See below

Step-by-step explanation:

Parent function:

Translation rule:

It will translate right 3 units and up 1 unit

The translated function is:

Graph is attached where dotted blue is parent function and solid red is translated function