the sum of the zeroes of polynomail ax² + bx + 4c is.
\( a) \:\: \frac{b}{a} \\ \\ b) \: \ \frac{ - b}{a} \\ \: \\ c) \: \frac{ c}{a} \\ \\ d) \: \: \frac{ - c}{a} \)

say fast pls
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Answer:

5 to 3

Step-by-step explanation:

15/3=5

6/3=3

Answer:

5:2

Step-by-step explanation:

15:6 can both be divided by 3, 15/3 = 5, 6/3 = 2, making the ratio,

5:2 hope i helped you (and could i have brainliest it would help me!)

Answer:

n = 12.5 or 25/2

Step-by-step explanation:

170-4n = 120

1. Subtract 170 from both sides to isolate -4n.

-4n = -50

2. Divide both sides by -4 to isolate the n.

n = 12.5 or 25/2

Hope this helped!

Answer:

12.5

Step-by-step explanation:

170 - 4n = 120

-170          -170

-4n         = -50

4n         =  50

  n         = 12.5

Sales for the dress department last year were $82,000. The manager for the department plans an increase of 12.5% this year. So, the projected sales volume for this year is $92,250.

To calculate this year's projected sales volume we will add 12.5% of the sales of the last year to the sales of last year. This can be calculated by using the formula:

S = P + (P × r / 100)

Where S is new sales, P is old sales, and r is a rate of increase.

In this problem, the value of P is $82,000 and the rate of increase is 12.5%. Now, let's plug these values into the formula and solve for S:

S = P + (P × r / 100)

S = $82,000 + ($82,000 × 12.5 / 100)

S = $82,000 + $10,250S = $92,250

Hence, the projected sales volume for this year is $92,250.

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Answer:

x = 0

Step-by-step explanation:

Hello!

2(x + 4) - 5 = 3x + 3

Distribute the 2

2x + 8 - 5 = 3x + 3

Combine like terms

2x + 3 = 3x + 3

Subtract both sides by 2x

3 = x + 3

Subtract both sides by 3

0 = x

The answer is x = 0

Hope this helps!

Answer: \(x=0\)

Simplify both sides of the equation

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

\((2x)+(8+-5)=3x+3\)(Combine Like Terms)

\(2x+3=3x+3\)

Subtract 3x from both sides

\(2x+3-3x=3x+3-3x\\-x+3=3\)

Subtract 3 from both sides

\(-x+3-3=3-3\\-x=0\)

Divide both sides by -1

\(-x/1=0/-1\\x=0\)

The equivalent expression with combined like terms is -5.5t + 6.3.

What is Equivalent expression?

Equivalent equations are algebraic equations with the same roots or solutions. We get an analogous equation by adding or subtracting the same number or expression from both sides of an equation. We can also get an equivalent equation by multiplying or dividing both sides of an equation by the same non-zero value.

To combine like terms, we can group the terms with the variable t together, and group the constant terms together:

(-3.6t) + (-1.9t) + (1.2 + 5.1)

We can simplify the constant terms:

(-3.6t) + (-1.9t) + 6.3

Finally, we can combine the terms with the same variable by adding their coefficients:

-5.5t + 6.3

Therefore, the equivalent expression with combined like terms is -5.5t + 6.3.

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The student can combine like terms in the given expression by adding and subtracting the corresponding pairs. This gives the equivalent expression as 3.2t - 2.4.

To combine like terms in the equation -3.6 - 1.9t + 1.2 + 5.1t, you need to group together the like terms. The two like terms we have are the terms with the variable t, -1.9t and +5.1t, and the two constant terms -3.6 and +1.2 without the variable t.

When you add and subtract these pairs accordingly, you get:
-1.9t + 5.1t = 3.2t
-3.6 + 1.2 = -2.4

So, the equivalent expression that combines these like terms is: 3.2t - 2.4.

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Answer:

61

Step-by-step explanation:

The formula of the sequence given is;

    aₙ = -5 + 6(n-1)  

problem is to find the 12th term;

   a₁₂  = -5 + 6 (12  - 1)

     a₁₂ = -5 + 6(11)

       a₁₂ = -5 + 66

        a₁₂ = 61

Answer:

A

Step-by-step explanation:

Answer:

x > 3

Step-by-step explanation:

This is an open circle, meaning there will be no equal sign.

The line is going to the right of 3, meaning x > 3

So, our inequality is x > 3

Answer:

Step-by-step explanation:

Answer: 156,000 is the right answer.

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that 156,000 possibilities are there, and option c is correct.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Thus, the number of possibilities is given by:

N = 26 x 25 x 24 x 10 = 156,000.

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Divide the total cost by the number of games bought. The store with the lowest amount is the better buy.

Store A : 8.36/2 = $4.18 each game

Store B: 12.84/3 = $4.28 each game

Store A has the lower price per game so Store A has the better deal.

The instructional context can greatly impact learning with educational technology. In a study with a digital learning game, it was found that the instructional context influences student engagement and motivation. This, in turn, affects their learning outcomes.

The study examined the design of the game, the teacher's role, and the classroom environment. By optimizing these factors, the researchers found that students were more likely to be actively engaged and achieved better learning outcomes.

Therefore, the instructional context plays a crucial role in leveraging the potential of educational technology for effective learning.

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There is a 0.43% chance or probability of correctly guessing the ages of all six children.

The probability of correctly guessing the ages of all six children in a family where each child is at least one year old and the sum of their ages is an integer that is at most 31 can be calculated using combinations.

The total number of possible combinations of ages that meet the criteria can be found by multiplying the number of different outcomes for each child's age, giving us 6 x 6 x 6 x 6 x 6 x 6, or 46,656.

To calculate the probability, we need to divide the number of possible combinations that meet the criteria (46,656) by the total number of possible combinations (1,073,741,824).

This gives us the probability of 0.00433, or 0.43%.

This means that there is a 0.43% chance of correctly guessing the ages of all six children.

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The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

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Answer:

95.49°

Step-by-step explanation:

The arc length formula is s = rФ, where r is the radius and Ф is the central angle in radians.  Here, r = 9 ft and s = 15 ft.  Thus, the central angle Ф is

Ф = (15 ft) / (9 ft) = 5/3 radians, or

5 rad       180°

------- * ---------- = 95.49°

      3       π rad

The probability that three different friends visiting the store on a day where the first, ninth, and ninetieth customers win a prize are indeed the first, ninth, and ninetieth customers is 1/92,000.

This calculation was based on the understanding that each friend's position as a winner is independent of the others, and the probability of each friend being in the specified position is determined by the total number of customers visiting the store and the specific positions required. It is a very low probability event due to the large number of possible outcomes and the specific conditions that need to be met.

To calculate the probability, we need to consider the number of favorable outcomes and divide it by the total number of possible outcomes.

The first friend can be any of the 100 customers who visit the store that day. Therefore, the probability that the first friend is a winner is 1/100.

For the second friend to be the ninth customer, we need to consider that the first friend could have taken any of the first eight positions, leaving only 92 possible customers for the second friend to be the ninth customer. Therefore, the probability that the second friend is the ninth customer is 1/92.

Similarly, for the third friend to be the ninetieth customer, we need to consider that the first two friends could have taken any of the first 89 positions, leaving only 10 possible customers for the third friend to be the ninetieth customer. Therefore, the probability that the third friend is the ninetieth customer is 1/10.

To find the overall probability, we multiply the individual probabilities:

(1/100) * (1/92) * (1/10) = 1/92,000.

Therefore, the probability that the three different friends are the first, ninth, and ninetieth customers of the day is 1/92,000.

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Answer:

okay that is great.......?

answer:

the full answers for it

Step-by-step explanation:

The most effective chunking of the digit sequence 14929111776 would depend on the purpose of chunking.

However, a possible effective chunking could be 14-92-91-11-77-6, which groups the digits into pairs or triplets based on their similarity or pattern. Another possible chunking could be 1492-911-1776, which separates the digits based on significant historical events. Ultimately, the effectiveness of chunking would depend on the context and intended use of the sequence. The most effective chunking of the digit sequence 14929111776 would be to group the numbers into smaller, manageable chunks. One possible way to chunk the sequence is: 149-29-11-17-76. This breaks the sequence into five groups, making it easier to remember and process.

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Answer:  -7

Step-by-step explanation:

In order to find rate of change, we use two points (0,70) and (3,49).

rate of change = (y2 - y1)/ (x2 - x1)

                         = (49 - 70) / (3 - 0)

                         = -21/3

                         = -7

Answer:

4x2−24x4x2-24x

Factor 4x4x out of 4x24x2.

4x(x)−24x4x(x)-24x

Factor 4x4x out of −24x-24x.

4x(x)+4x(−6)4x(x)+4x(-6)

Factor 4x4x out of 4x(x)+4x(−6)4x(x)+4x(-6).

4x(x−6)4x(x-6)

4x2−24x4x2-24x

Step-by-step explanation:

tried

Answer:

  $488.2 billion

Step-by-step explanation:

A year-on-year decrease of 7% means the multiplier is (1 -7%) = 0.93. After 15 years (from 2005 to 2020), the spending will have been multiplied by that value 15 times, or 0.93^15.

The spending at restaurants in 2020 is modeled to be ...

  $1450(0.93^15) ≈ $488.2 . . . billion

Answer:

The image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)

Step-by-step explanation:

We know that when a point, let say P(x, y), is reflected across the y-axis, the sign of x-coordinate is reversed but y-coordinate remains the same.

In other words, the rule is:

P(x, y) → P'(-x, y)

Here, P'(x, y) is the image of the original point P(x, y) after the reflection across the y-axis.

Considering the point

Let us reflect the point A(2, 3) across the y-axis.

We know the rule:

P(x, y) → P'(-x, y)

so

A(2, 3) → A'(-2, 3)

Thus, the image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)

Answer:

trapezoid

Step-by-step explanation:

its okay i had to look it up to make sure i was right lol

Can i have brianliet plz

Answer:

x = 138°

Step-by-step explanation:

Since the sum of all angles in a triangle is 180°, we find ∠BAC:

m∠BAC = 180 - (68 + 70) = 42°

Since ∠x and ∠BAC are Supplementary Angles, they add up to 180°:

180 - 42 = x

x = 138°

Answer:

138

Step-by-step explanation:

1. 68 + 70 = 138

2. 180 - 38 = 42

3. 180 - 42 = 138

4. X = 138

In business calculus, the term "functions" refers to mathematical relationships that associate inputs (typically denoted as x) with corresponding outputs (typically denoted as y). Functions can represent various aspects of business operations, such as revenue, cost, profit, demand, and supply.

The concept of "limits" in calculus deals with the behavior of a function as the input approaches a particular value. It determines the value that the function approaches or tends to as the input gets arbitrarily close to a specified value. Limits are essential for analyzing the behavior of functions near certain points, understanding rates of change, and evaluating derivatives and integrals.

"Continuity" of a function refers to its smooth and unbroken nature, without any abrupt jumps, holes, or vertical asymptotes. A function is continuous if its graph can be drawn without lifting the pen from the paper. Continuity ensures that small changes in the input correspond to small changes in the output, which is crucial for reliable analysis and prediction.

For example, consider the function f(x) = 2x + 1. This linear function represents a business scenario where x represents the number of units sold, and f(x) represents the total revenue generated. The limit of f(x) as x approaches 2 is 5, indicating that as the number of units sold approaches 2, the total revenue approaches $5. Since f(x) = 2x + 1 is a linear function, it is continuous across its entire domain.

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Answer:

6+4x-3z

Step-by-step explanation:

-2+6x+z-2x+8-4z

6+6x+z-2x-4z

6+4x+z-4z

6+4x-3z

A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

We have to given that;

the circumference of each circular base of a cylinder is equal to the height of the cylinder.

Now, We get;

A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

Hence, As a result, the cylinder's cross section, or the form you see when you cut it perpendicular to its height, will always be round and its diameter will remain constant over the course of the cylinder's height.

Thus, A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

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Answer:

6//5,10/3

Step-by-step explanation:

maybe hope this is help

Answer:

7.1 square feet

Explanation:

The area of a circle can be found using the below formula;

where pi = 3.14

r = radius of the circle = d/2 = 3/2ft

Let's go ahead and substitute the above values into our formula and solve for A,