Grandma Annie is 80 years old. This is 20 years less than 4 times the age of Ashley. How old is Ashley?

The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

Given: Function f(x) is (x - 5)3(x + 2)2

If a curve touches the x-axis then f(x) = 0

⇒ (x - 5)3(x + 2)2 = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒ (x - 5)3 = 0 and (x + 2)2 = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

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Answer:

48.5 and 34.5

Step-by-step explanation:

83 divided by 2 and then subtract 7

Answer:

45 and 38 equal 83 and 45 is 7 more than 38

The correct statement regarding whether each graph represents a function is given as follows:

a. Represents a function, as each input is mapped to only one output.

b. Does not represent a function, as there are inputs mapped to two outputs.

A graph will represent a function if the graph contains no vertically aligned points, that is, each value of x is mapped to only one value of y.

Vertically aligned points mean that a value of the input x is mapped to multiple values of the output y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.

In the context of this problem, we have that:

On the continuous graph, a vertical line is drawn and shown at the end of the answer, representing visually when does a graph does not represent a function, as the vertical line crosses the function at multiple points.

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The probability to obtain the sum of two rolled dice as a multiple of 6 or a multiple of 4 is 13/36.

When comparing the likelihood of an outcome to all other possible outcomes, we use a sort of ratio known as probability.

Given that a dice is rolled twice. Sum of the two rolls has following possibilities,

2,3,4,5,6,7,8,9,10,11,12

A multiple of 6 is obtained when the sum is either 6 or 12.

Sum of 6 is obtained when the two rolls are (1,5) , (2,4) , (3,3), (4,2) , (5,1)

Probability for each is 1/36. Therefore total probability to obtain sum of 6 is 5/36.

Sum of 12 is obtained only when the two rolls (6,6).

Probability to obtain sum of 12 is therefore 1/36.

Similarly for a sum of 4, the probability is 3/36.

For a sum of 8, the probability is 4/36.

Therefore the required probability is the sum of above calculated probabilities,

Required probability = 5/36 + 1/36 + 3/36 + 4/36 = 13/36

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If the function approaches a specific value (y = c) as x approaches infinity or negative infinity, then it has a horizontal asymptote at y = c.

To determine if a function has a horizontal asymptote, consider the behavior of the function as x approaches positive or negative infinity. The main idea is to analyze the end behavior of the function.

Degree of Polynomials:

If the degree of the numerator is less than the degree of the denominator, the function has a horizontal asymptote at y = 0 (the x-axis). If the degree of the numerator is equal to the degree of the denominator, divide the coefficients of the highest degree terms. The resulting ratio determines the horizontal asymptote. If the degrees are unequal, there is no horizontal asymptote.

Limits:

Take the limit of the function as x approaches positive or negative infinity. If the limit evaluates to a finite value, that value represents the horizontal asymptote. If the limit is infinite (∞) or does not exist, there is no horizontal asymptote.

Infinity:

If the function involves terms like exponential functions or logarithmic functions, analyze their behavior as x approaches infinity. Exponential functions with positive exponents tend to infinity, while those with negative exponents approach zero. Logarithmic functions tend to negative infinity as x approaches zero.

By considering these methods, you can determine if a function has a horizontal asymptote and find its equation or behavior as x approaches infinity or negative infinity. Remember to apply these techniques with caution and consider the specific characteristics of the function being analyzed.

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Answer:

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

Step-by-step explanation:

We need to find mistake make in work below:

\((-2x^4)^4=-16x^{16}\)

The mistake here is when we have even power, the negative sign gets positive i.e \((-a)^m=a^m\) if m is even

so, in our case it would be:

\((-2x^4)^4=16x^{16}\)

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

Answer:

im pretty sure its d

Step-by-step explanation:

Answer:

D would be the correct answer.

have a blessed day

Step-by-step explanation:

Answer:

1 cup = 8 fl oz

Step-by-step explanation:

1 cup = 8 fl oz

Answer:

Step-by-step :

a) To find the constant proportionality, we can use the formula:

Number of applications = k * (number of workers) * (number of hours)

where k is the constant proportionality we want to find. We can plug in the values given in the problem:

466 = k * 8 * 12

Solving for k:

k = 466 / (8 * 12) = 4.875

So the formula is:

Number of applications = 4.875 * (number of workers) * (number of hours)

b) If 3 workers are sick, then 8 - 3 = 5 workers are left. To find how long they will have to work to assemble 466 applications, we can again use the formula:

466 = 4.875 * 5 * (number of hours)

Solving for the number of hours:

number of hours = 466 / (4.875 * 5) = 19.07 hours (rounded to two decimal places)

So the remaining workers will have to work for approximately 19.07 hours to assemble 466 applications.

c) If the task has to be accomplished in 4 hours, we can again use the formula with the new values:

466 = 4.875 * (number of workers) * 4

Solving for the number of workers:

number of workers = 466 / (4.875 * 4) = 23.97

Since we cannot have a fraction of a worker, we need to round up to the nearest whole number of workers.
Therefore, we would need to hire 24 temporary workers to accomplish the task in 4 hours.

Answer:

a = 10

b = 6

Step-by-step explanation:

(7^2 * 7^8) / 7^4 = 7^a / 7^4

7^2 * 7^8 = 7^10

7^10 / 7^4 = 7^a / 7^4

7^10 = 7^a

a = 10

7^a / 7^4 = 7^b

7^10 / 7^4 = 7^10-4

7^6 = 7^b

b = 6

Answer:

Step-by-step explanation:

Percentage: Green marbles/Total marbles

Percentage formula: \(\frac{a}{b} (100)\)

Hence, 40% of the total marbles are green.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

here is a example to help, becuase The format is messed up on my side Construct a line CD to cut the line AB at point E.

We know that in the triangle BDE exterior angle is equal to the sum of two opposite interior angles

We know that in the triangle AEC exterior angle is equal to the sum of two opposite interior angles

∠CEB=∠CAB+∠ACE

By substituting the values

Answer:

Step-by-step explanation:

∠IHG = ∠IHW + ∠WHG

36x + 2 = 16x - 3 + 65

36x + 2  = 16x  + 62

Subtract 2 from both sides

36x = 16x + 62 - 2

36x = 16x + 60      {Subtract 16x from both sides}

36x - 16x = 60

        20x = 60       {Divide both sides by 20}

            x = 60/20

x = 3

The equation of a line with slope a and y-intercept b can be expressed in the for y = ax + b.

For a line passing through the points (1,1) and (2,-1), its slope is given by:

To find the intercept, we can just replace x and y by one of the given pairs of coordinates:

Therefore, the equation of the line is y = -2x + 3

Answer:

-and a -= a positive

Step-by-step explanation:

-8+-9=19

If the researcher knows that the mean is 60 and the standard deviation is 6, then it can be concluded that the majority of the scores will fall within 1 standard deviation above or below the mean. This is because the standard deviation is a measure of how spread out the data is from the mean.

In this case, a standard deviation of 6 means that the majority of the scores will fall between 54 and 66 (60 plus or minus 6). This also means that approximately 68% of the scores will fall within this range. However, it's important to note that there will still be some scores outside of this range. The standard deviation of the mean can be calculated by dividing the standard deviation by the square root of the sample size. This value will indicate the variability of the sample means.

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Answer:1400.812

Step-by-step explanation:

Answer: 1,400.812

Step-by-step explanation: This looks like an addition problem

685.488 + 715.324 = 1,400.812

The statement that is TRUE based on the given facts is that the customer's fixed income portfolio has experienced a greater decline in value than the decrease in the Consumer Price Index (CPI).

To elaborate, the customer's fixed income portfolio has dropped by 5% over the past 4 years. This means that the value of their portfolio has decreased by 5% compared to its initial value. On the other hand, the Consumer Price Index (CPI) has dropped by 2% during the same period. The CPI is a measure of inflation and represents the average change in prices of goods and services.

Since the customer's portfolio has experienced a decline of 5%, which is larger than the 2% drop in the CPI, it indicates that the value of their portfolio has decreased at a higher rate than the general decrease in prices. In other words, the purchasing power of their portfolio has been eroded to a greater extent than the overall decrease in the cost of goods and services measured by the CPI.

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Answer:

Option D

Step-by-step explanation:

Combine Like Terms.

\(-5x+11x-4+2\\\\\boxed{6x-2}\)

Hope this helps.

Answer:

D.) 6x - 2

Step-by-step explanation:

First, you add all like terms.

-5x +11x = 6x

-4 + 2= -2

= D.) 6x - 2

Hope this helps!

Answer:

it is not balanced because of sulphur on left side 2 sulphur

on the right side 3 sulphur

If f does not attain a maximum value on [a,b], then the function does not attain a maximum value. The option "f does not attain a minimum value on [a,b]" must be true.

A maximum value is the highest value of a function, that is, the largest y-value of a graph. For example, f(x) = x² has a maximum value of infinity because the parabola opens upwards, and its value keeps increasing infinitely. Therefore, the highest value it attains is infinite.

If f does not attain a maximum value, then there is no highest value, meaning that the value of the function increases indefinitely. In that case, there must not exist a minimum value, since the function keeps rising indefinitely without any upper bound. Hence, f does not attain a minimum value on [a,b].

Option C must be true, which is: O f does not attain a minimum value on [a,b].

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\((\stackrel{x_1}{10}~,~\stackrel{y_1}{a})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{a}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{10}}} ~~ = ~~\stackrel{\textit{\LARGE m}}{\cfrac{1}{4}} \\\\\\ \cfrac{8-a}{-12}=\cfrac{1}{4}\implies 32-4a=-12\implies 44-4a=0 \\\\\\ 44=4a\implies \cfrac{44}{4}=a\implies \boxed{11=a}\)

The radius of the inscribed circle of triangle XYZ is 4.5 units.

The intersection point of angle bisectors is called the

in-center of the triangle while the intersection point of perpendicular bisectors is called the circumcenter of the circle.

The radius of the inscribed circle is the length of the perpendicular drawn from the incenter to the sides of the triangle.

In the given diagram, A will be the incenter while C will be the circumcenter.

So, the length of the perpendicular drawn from A to side XZ =AB =4.5units

So, the radius of the inscribed circle of triangle XYZ=4.5 units

Therefore, the radius of the inscribed circle of triangle XYZ is 4.5 units

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Answer:

4.5

Step-by-step explanation:

Answer:(192/9.6)÷7=20/7

Step-by-step explanation:

Answer:

400 is the answer

Step-by-step explanation:

Answer:

Solve each equation for x. 1. 12x² + 48x + 23 = -22 ... Solving Quadratic Equations (B) Answers ... 3x² + 18x + 27 = 0. 6x² - 2x - 48 = 0. (3x + 9) (x + 3) .

Step-by-step explanation: