Which two values of x are roots of the polynomial below?
x²-11x+17
​

Answer:

The simple interest accumulated  on a principal of $ 2,500 at a rate of 6.25% per year  for 2.5 years is $ 390.63.

Step-by-step explanation:

Given

To determine

Interest I = ?

Using the simple interest formula

I = Prt

substituting P = 2,500, r = 0.065 and t = 2.5

I = 2500 × 0.0625 × 2.5

I = 390.63

Thus,

I = $390.63

Therefore, the simple interest accumulated  on a principal of $ 2,500 at a rate of 6.25% per year  for 2.5 years is $ 390.63.

x is 4, which gives us the expression (4)(-5)(3) using algebraic equation.

An algebraic equation or polynomial equation is an equation of the form P=0 where P is a polynomial with coefficients in some field, often the field of the rational numbers.

Given Data

In each step she goes 5 feet deeper, hence (-5) must be a part of the expression.

She  checked her instruments 3 times, so +3 must be a part of the expression.

Her total depth was 60 feet so

-60= x(-5)(-3)

X= 4

Therefore x is 4, which gives us the expression (4)(-5)(3)

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Answer: 4 and 7 over 124

7

12

≈4.583

Step-by-step explanation: im trying to get my first brainliest

Answer:

55/12 or 4 7/12 in mixed number form

Step-by-step explanation:

turn everything into improper fraction

11/6 +11/4

44/24+66/24 = 110/24 = 55/12 = 4 7/12

Answer:

x=100

Step-by-step explanation:

540= 106 + 94 + 135 + x + x+5

540=340+ 2x

540-340=2x

200=2x

therefore, x=100

Answer:

x=100°

Step-by-step explanation:

The sum of the interior angles of a pentagon is equal to 540 degrees.

Given the following pentagon, we can write the following equation:

106° + 94° + (x + 5)° + 135° + x° = 540

Combining like terms, we get the following equation:

340 + 2x= 540

Subtracting 340from both sides, we get the following equation:

2x = 540-240

2x=200

Dividing both sides by 2, we get the following equation:

x = 200/2

x=100°

`Therefore, the value of x is 100°.

The maximum interest rate that can be charged during the fifth year is 6.75%. The correct option is the third option c. 6.75%

From the question, we are to determine the maximum interest rate that can be charged during the fifth year

A 2/1 ARM means that the interest rate is fixed for the first two years and then adjusts annually based on a specified index plus a margin. The "2/10 cap" means that the interest rate can only increase or decrease by a maximum of 2 percentage points each year, and can never be more than 10 percentage points higher than the initial rate.

Since the initial rate is 2.75%, the maximum rate that can be charged during the fifth year is:

2.75% + (2 x 2%) = 6.75%

Hence, the maximum interest rate that can be charged during the fifth year is 6.75%.

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Answer:

the new road is new so it will be a new way which makes it shorter if yuo think about it

Answer:

C^6

Step-by-step explanation:

C^5*C=C^6

A quadratic equation in the form of ax²+bx+c. The zeroes of the polynomial are -2.4 and -7.5.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c. The Root of the quadratic equation are given as,

\(x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

The zeroes of the polynomial are:

f(x)=x² + 9.9x + 18

0 = x² + 9.9x + 18

\(x= \dfrac{-9.9\pm \sqrt{(9.9)^2-4(1)(18)}}{2(1)}\\\\\)

x = -2.4, -7.5

Hence, the zeroes of the polynomial are -2.4 and -7.5.

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Step-by-step explanation:

Area of a triangle = 1/2 * base * height

 For this triangle   base =  9 m   height =  8 m

1/2 ( 9 ) ( 8) = 36 m^2

The following are the rules of monomials and exponents that are used:

Monomials: It is a polynomial with one term, where each term consists of a coefficient and a variable.

The coefficients and variables are multiplied together and each of the products that is obtained is known as monomial.

For example, 4x, 3x², 5x²y, 10, 2x³, etc.

Exponent: The exponent of a number says how many times to use the number in multiplication.

For example, in ³⁴, 3 is the base, 4 is the exponent, and ³⁴ means 3 multiplied by itself 4 times. 3 x 3 x 3 x 3 = 81.Rules:Product rule:

When multiplying monomials that have the same base, add the exponents.

For example, a³ x a² = a³+² = a⁵. Anything to the zero power equals 1.

For example, x⁰ = 1.

Answer key: The answer key will include solutions for all the given questions that are present in the worksheet. Each problem in the worksheet has to be answered using the above rules of monomials and exponents.

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Answer:

v is the vertex I think so

Answer:

The vertex is V.

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

6x+42=90

6x=48

x=8

After drawing the tessellation using hexagon and triangle it would look like the attached image.

We know, tesselation is a term used in mathematics and arts where the repetitive patterns of shapes are seen over a geometric plane or surface.

Semi-regular tesselations are made of 2 or 3 polygons, so it is a semi-regular tesselation.

We know that,

⇒A triangle has 3 sides

⇒A hexagon has 6 sides.

One important thing is that we should start drawing with a shape with less number of sides.

Step 1, start with an equilateral triangle, and draw it upside down.

Then draw another triangle with the same shape just under this. This will make the one side shape of a hexagon.

Step 2, Now draw a regular hexagon beside the two triangles that fit perfectly within the space. Two sides of the hexagon should align with one side of the adjacent triangles.

Step 3, again repeat the process with the same two triangles and hexagons. Each time you add the same pattern it should fit perfectly.

In this way, tesselation using triangles and hexagons can be drawn.

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Answer:

C cannot make a triangle

Step-by-step explanation:

One of these choices does not have 3 angles adding to 180.

A) adds to 180 degrees

B) B also adds to 180 degrees.

C) Adds to 169 degrees, so this set of 3 does not make a triangle.

D) Adds to 180

Answer:

7 or 8 days

Step-by-step explanation:

The answers is correct ⬆️

1. The 95% confidence interval is between 567.07 and 739.93 vehicles per hour
2. The 98% confidence interval is between 547.47 and 759.53 vehicles per hour
3. The sample size needed for a 95% confidence interval to specify the mean to within ±55 vehicles per hour is 121
4. The sample size needed for a 98% confidence interval to specify the mean to within ±55 vehicles per hour is 187

1. To find the 95% confidence interval, we use the formula:

Mean improvement +/- (t-value * standard error)

where t-value for 49 degrees of freedom at 95% confidence level is 2.009.

The standard error can be found by dividing the standard deviation by the square root of the sample size:

Standard error = 311.7 / sqrt(50) = 44.06

So the 95% confidence interval is:

653.5 +/- (2.009 * 44.06) = (567.07, 739.93)

Therefore, we can say with 95% confidence that the true mean improvement in traffic flow is between 567.07 and 739.93 vehicles per hour.

2. To find the 98% confidence interval, we use the same formula but with a different t-value. For 49 degrees of freedom at 98% confidence level, the t-value is 2.678.

The 98% confidence interval is:

653.5 +/- (2.678 * 44.06) = (547.47, 759.53)

Therefore, we can say with 98% confidence that the true mean improvement in traffic flow is between 547.47 and 759.53 vehicles per hour.

3. To find the sample size needed for a 95% confidence interval to specify the mean to within ±55 vehicles per hour, we use the formula:

n = \((z * s / E)^2\)

where z is the z-value for 95% confidence level (1.96), s is the standard deviation (311.7), and E is the margin of error (55).

Plugging in the values, we get:

n = \((1.96 * 311.7 / 55)^2\) = 120.25

Rounding up, we need a sample size of 121 to achieve a 95% confidence interval with a margin of error of ±55 vehicles per hour.

4. To find the sample size needed for a 98% confidence interval to specify the mean to within ±55 vehicles per hour, we use the same formula but with a different z-value. For 98% confidence level, the z-value is 2.33.

Plugging in the values, we get:

n = \((2.33 * 311.7 / 55)^2\) = 186.34

Rounding up, we need a sample size of 187 to achieve a 98% confidence interval with a margin of error of ±55 vehicles per hour.

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The processes used to determine if a function is a state or path function include integration/differentiation and examining the differential form of the function. Integrating a function with respect to a variable yields a state function, while differentiating a function with respect to a variable yields a path function.

If the differential form of a function involves only state variables, it is a state function. If it involves both state and path variables, it is a path function.

To determine whether a function is a state or path function, we can examine the properties of the function and the variables involved. A state function depends only on the current state of the system and is independent of the path taken to reach that state. In contrast, a path function depends on the path taken to reach a particular state.

One common process used to determine the nature of a function is integration or differentiation. Integrating a function with respect to a variable yields a state function, whereas differentiating a function with respect to a variable yields a path function. For example, integrating the pressure (P) with respect to volume (V) yields a state function called the internal energy (U). On the other hand, differentiating the work (W) with respect to volume (V) yields a path function known as pressure (P).

Another process used is the examination of the differential form of the function. If the differential form of a function involves only state variables, then the function is a state function. For instance, the differential form of the enthalpy (H) involves only state variables (dH = dU + PdV), making it a state function. However, if the differential form involves both state and path variables, the function is a path function. An example is the differential form of heat (Q), which involves both state and path variables (dQ = dU + PdV), indicating that it is a path function.

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The probability of Jack taking 2 red candies is 3/28.

What do you mean by a union in probability?
The letter "U" (union) stands for "or." Specifically, P(AB) represents the probability of that event A or event B occurring. The sample points that are present in both event A and event B must be counted in order to determine P(AUB).

The new probability set made up of all the elements from both sets is created when two sets are joined. When two sets intersect, a new set is created that includes every element from both sets.

Solution Explained:

Given in the question,

A bag contains 3 red and 5 green candies.

Total possibilities is 3 + 5 = 8  

Jack takes a candy at random and eats it  

A/Q there are 3 red candies out of 8, the probability is given by,

P(R) = 3/8

Now there are 2 red candies out of 7, so the probability is given by,

P(R') = 2/7

The probability of both events is given by,

P(2R) = P(R) × P (R') = 3/8 × 2/7 = 3/28

Therefore, the probability of Tim taking 2 red candies is P(2R) = 3/28

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Answer:

Answers are below

Step-by-step explanation:

The domain of the function is all real numbers.

The range of the function is also all real numbers.

I graphed the function on the graph below.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases} \\\\\\ A = 2000\left(1+\frac{0.08}{1}\right)^{1\cdot 10}\implies A=2000(1.08)^{10} \implies A \approx 4317.85\)

Answer:

It is for sure letter d

Step-by-step explanation:

Hope this helps

Answer:

x=-6

Step-by-step explanation:

3x+2=-40-4x

add 4x to both sides to get

3x+4x+2=-40

now subrtact 2 from both sides

3x+4x=-40-2

combine like terms

7x=-42

divide -42/7

x=-6

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Answer:

52.5 inches

Step-by-step explanation:

Assuming that the number of days in the month is exactly 30, we can find the answer by using multiplication.

Given that the corn stalk grows ~1.75 inches per day and we are asked how many inches it will grow in 1 month, we multiply the given inches by the number of days in a month.

Factors: 1.75 inches, 30 days in 1 month

1.75 inches x 30 days = 52.5 inches.

In conclusion, the corn stalk will grow up to 52.5 inches in one month.

Answer:

The probability that a randomly selected call is for a car that won't start because of dead battery or because of no gas is 0.96

Step-by-step explanation:

The percentage of calls for emergency due to dead battery = 90%

The percentage of calls for emergency due to no gas = 10%

The percentage of calls for emergency due to dead battery and no gas  = 4%

Therefore;

The probability that a call for a car that won't start because of dead battery, P(B) = \(\left | B \right |\) = 0.9

The probability that a call for a car that won't start because of no gas, P(N) = \(\left | N \right |\) = 0.1

The probability that a call for a car that won't start because of dead battery and no gas, P(B∩N) = \(\left | B \cap N \right |\) = 0.04

Therefore, the probability that a randomly selected call is for a car that won't start because of dead battery or because of no gas is given as follows;

\(\left | B \cup N \right | = \left | B \right | + \left | N \right | - \left | B\cap N \right |\)

Where;

Therefore, we have;

\(\left | B \cup N \right |\) = The probability that a randomly selected call is for a car that won't start because of dead battery or because of no gas

Substituting gives;

\(\left | B \cup N \right |\) = 0.9 + 0.1 - 0.04 = 0.96

∴ The probability that a randomly selected call is for a car that won't start because of dead battery or because of no gas = 0.96.

Answer:B

Step-by-step explanation:

The sum of the functions is x²-x-1. Therefore, option B is the correct answer.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

We are given a graph of a function f(x) as a straight line that passes through (0,2) and (2,0).

Hence, the equation of f(x) is y=-x+2

Also the graph of g(x) is a upward open parabola with vertex at (0,-3)

Hence, the equation of g(x) is y=x²-3

Now the sum function i.e. (f+g)(x) is given by

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

= -x+2+x²-3

= x²-x-1

Therefore, option B is the correct answer.

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Answer:

i believe it is a if not im sorry

Step-by-step explanation:

answer:

x=1/3

x=11/3

STEP 1:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

-3|x-2|+9 = 4

Another term is moved / added to the right hand side.

To make the absolute value term positive, both sides are multiplied by (-1).

3|x-2| = 5

STEP 2:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 3|x-2|

For the Negative case we'll use -3(x-2)

For the Positive case we'll use 3(x-2)

STEP 3:

Solve the Negative Case

-3(x-2) = 5

Multiply

-3x+6 = 5

Rearrange and Add up

-3x = -1

Divide both sides by 3

-x = -(1/3)

Multiply both sides by(-1)

x = (1/3)

Which is the solution for the Negative Case

STEP 4:

Solve the Positive Case

3(x-2) = 5

Multiply

3x-6 = 5

Rearrange and Add up

3x = 11

Divide both sides by 3

x = (11/3)

Which is the solution for the Positive Case

giving us  x=1/3 or x=11/3

allso if u can i need help with a thing so plese help, i would aprestiate it

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Answer:

3. would be one above the negative 5

4. 3 up from positive 4

5. would be on the negative 2

write the letters on those points respectively.