trinomios de 6x 2 + 13 x + 5 ​

Answer:

\(n _{100} = a + (n - 1)d \\ = 80 + (100 - 1) \times 70 \\ = 80 + 6930 \\ = 7010\)

Answer:

y=1/4x+4

Step-by-step explanation:

to find the slope use (y2-y1)/(x2-x1)

(5-6)/(4-8)= 1/4

1/4 is your slope

to find the b in y=mx+b, plug in 1/4 for m and choose one of the points to plug in for x and y

I will use (4, 5)

5=1/4(4)+b

5=1+b

4=b

the final equation in y=1/4x+4

hope this helps!

Answer:

126.35cm

Step-by-step explanation:

quick use of a calculator

Answer:

26.6 cm

Step-by-step explanation:

height= 133/5

height of year= 26.6 cm

Answer:

(1, -6)

Step-by-step explanation:

After reflecting over y axis: (1, 6)

After reflecting (1, 6) over x axis: (1, -6)

I think you made a typo in your question. I think you meant "x-axis" instead of "r-axis"

Answer: 7 inches

Step-by-step explanation:

1. Divide 615 by pi and four the order does not matter

2. Then square root the value you get

3.round up to the nearest whole number

Circumference = 2 x r x pi

Circumference = 2 x 11 x pi

Circumference = 22pi or 69.08 inches depending on what format the answer is supposed to be in.

Answer:

Circumference = 2πr

Circumference = 2 × 3.14 × 11

Circumference = 22 × 3.14

Circumference = 69.08 in

\( \\ \)

The curve y = 8e^x has maximum curvature at the point (0, 8).there is no point where the second derivative equals zero,

To determine the point of maximum curvature on the curve y = 8e^x, we need to find the second derivative of the function and identify the point where it equals zero. The second derivative represents the rate of change of the slope, or the curvature, of the curve.

First, we find the first derivative of y = 8e^x with respect to x:

dy/dx = 8e^x

Then, we differentiate again to find the second derivative:

d²y/dx² = d(8e^x)/dx = 8e^x

Setting the second derivative equal to zero:

8e^x = 0

Exponential functions, such as e^x, are never equal to zero for any value of x. Therefore, there is no point where the second derivative equals zero, indicating that the curve y = 8e^x does not have any inflection points or points of maximum curvature.

However, we can determine the point where the curvature is the greatest by considering the graph of y = 8e^x. Since the exponential function e^x is always positive, the curve y = 8e^x is always concave up. This means that the curvature is positive throughout the curve, but there is no specific point of maximum curvature.    

In conclusion, the curve y = 8e^x does not have a point of maximum curvature but is always positively curved.  

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Answer:

B.(-1,4) is the answer of this question.

#100% conform

Answer:

3.5 pounds

Step-by-step explanation:

7/8 / 1/4 =7/8*4=7/2=3.5

(a) The derivative of the function f(x) = (x + 4) / (x - 4) is f'(x) = 1 / (x - 4)².

To find the derivative of the given function f(x), we can use the quotient rule. The quotient rule states that for a function h(x) = g(x) / k(x), where g(x) and k(x) are differentiable functions, the derivative of h(x) is given by h'(x) = (g'(x) * k(x) - g(x) * k'(x)) / (k(x))².

In our case, g(x) = x + 4 and k(x) = x - 4. Taking the derivatives of g(x) and k(x), we have g'(x) = 1 and k'(x) = 1.

Applying the quotient rule, we substitute the values into the formula:

f'(x) = [(1 * (x - 4)) - ((x + 4) * 1)] / (x - 4)²

      = (x - 4 - x - 4) / (x - 4)²

      = -8 / (x - 4)²

      = -8(x - 4)⁻².

Therefore, the derivative of the function f(x) = (x + 4) / (x - 4) is f'(x) = 1 / (x - 4)².

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Answer:

\(32\frac{2}{3}\)

Step-by-step explanation:

Hello!

To put 32 R2 as a mixed number we put 32 as the whole number and the remainder over the divider which gives us,

\(32\frac{2}{3}\)

The answer is \(32\frac{2}{3}\)

Hope this helps!

The expression 98 divided by 3 to a mixed number is 32 2/3

From the question, we have the following parameters that can be used in our computation:

Number = 98 divided by 3

Divide 98 by 3

so, we have the following representation

Quotient = 32

Next, we have

Remainder = 98 - 32 * 3

Evaluate the products

Remainder = 2

Hence, the fraction to a mixed number is 32 2/3

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You can turn that ratio into a fraction:

3/5 voted yes

2/5 voted no

You can then multiply the fraction of people that voted yes by the total number of people.

\(=\frac{3}{5}(2860)\)

= 1716

1716 people voted yes.

Answer:

1716

Step-by-step explanation:

2860 divided by 5 is 572

572x3 is 1716

572x2 is 1144

1144+1716 is 2860

so 1716 makes sense.

Answer:

40 minutes

Step-by-step explanation:

Let c represent the number of minutes it would take colleen to finish the job when he is working alone. Hence, it can be represented by the equation:

\(\frac{1}{c}+\frac{1}{c+20} =\frac{1}{24} \\\\Finding\ the\ L.C.M\ of\ the\ fraction\ to\ get\ 24c(c+20)\ as\ the\ L.C.M.\\Multiply\ the\ whole\ equation\ by\ 24c(c+20):\\\\\frac{1}{c}(24c(c+20))+\frac{1}{c+20}(24c(c+20)) =\frac{1}{24}(24c(c+20)) \\\\24c+480+24c=c^2+20c\\\\48c+480=c^2+20c\\\\c^2+20c-48c-480=0\\\\c^2-28c-480=0\)

Solving the quadratic equation to get c gives:

c = -12 and c = 40

Since the time cannot be negative, hence c = 40 minutes.

It would take colleen 40 minutes to clear the yard of leaves alone

Answer:

Rosie is 10 years old

Step-by-step explanation:

A)

Rosie is x years old

Rosie's age (R) = x

R = x

Eva is 2 years older

Eva's age (E) = x + 2

E = x + 2

Jack is twice Rosie’s age

Jack's age (J) = 2x

J = 2x

B)

R + E + J = 42

x + (x + 2) + (2x) = 42

x + x + 2 + 2x = 42

4x + 2 = 42

4x = 42 - 2

4x = 40

\(x = \frac{40}{4} \\\\x = 10\)

Rosie is 10 years old

The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

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The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

Answer:

The mistake is in step 2

Step-by-step explanation:

We are given h(x)=4-x

Note: Considering h(x)=4-x as in question given there is some issue. If value of h(x) is different the answer would be different.

and g(x)=2x+10

We need to find h(g(x))

h(g(x)) can be found by putting the value of g(x) in h(x)

Steps used by Mario are:

Step 1: h(g(x)) = 4 - x

Step 2: h(g(x)) = 4 - x + 10

Step 3: h(g(x)) = 14 - X

She did mistake in step 2:

The step 2 should be:

h(g(x))=4-(2x+10)

h(g(x))= 4-2x-10

h(g(x))=-6-2x

So, the mistake is in step 2

Answer:

25.

Step-by-step explanation:

FGH-G = 3x5x2 - 5 = 30 -5 =25.

Answer:

The 3rd relation is a function!

Answer:

(0, 3)

Step-by-step explanation:

As the Only function out of all

The answer calculates the original square footage of Eamon's home based on the $35 fee per square foot paid for adding 380 square feet past 25% of the original square footage. The original square footage of Eamon's home is 1,520 square feet.

Let's assume that the original square footage of Eamon's home was "x". According to the problem, he had to pay a fee of $35 for every square foot he added past 25% of the original square footage.

Therefore, the square footage he added to his home past 25% of the original square footage was:

380 - 0.25x

And the fee he paid was $2,800. So we can write an equation:

35(380 - 0.25x) = 2,800

Simplifying the equation, we get:

13,300 - 8.75x = 0

Solving for x, we get:

x = 1,520 square feet

Therefore, the original square footage of Eamon's home was 1,520 square feet.

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Answer:

The answer is D

Step-by-step explanation:

Answer:

-15/7

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1 so replace the variables with -8-7/3-(-4) and solve which gets you -15/7

When using the graphical method in linear programming, the region that satisfies all of the constraints of the problem is called the feasible region.

The feasible region represents the set of all possible solutions that meet the given constraints of the linear programming problem. It is determined by graphing the constraints as inequalities on a coordinate plane and identifying the overlapping region where all the constraints are simultaneously satisfied. This region is bounded by the lines corresponding to the constraints and may take the form of a polygon, a line segment, or a single point, depending on the problem.

The feasible region is crucial in linear programming as the optimal solution, which maximizes or minimizes the objective function, must lie within this region. By analyzing the feasible region and evaluating the objective function at different points within it, the optimal solution can be determined.

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Answer:

(-2,1)

Step-by-step explanation:

Answer:

-2/1

Step-by-step explanation:

The probability that the team wins the debate is 0.65.The probability that a junior gave the closing argument given that the team loses the debate is 0.229.

(a) To find the probability that the team wins the debate, we can use the law of total probability. The law of total probability states that the probability of an event A occurring is equal to the sum of the probabilities of A occurring given each possible event B, times the probability of B occurring .In this case, the event A is the team winning the debate. The possible events B are that a sophomore, junior, or senior gives the closing argument. The probabilities of A occurring given each possible event B are 0.25, 0.6, and 0.85, respectively. The probabilities of B occurring are 0.20, 0.35, and 0.45, respectively. Plugging in these values, we get the following: P(A) = P(A | B_1) P(B_1) + P(A | B_2) P(B_2) + P(A | B_3) P(B_3),P(A) = (0.25)(0.20) + (0.6)(0.35) + (0.85)(0.45),P(A) = 0.65.Therefore, the probability that the team wins the debate is 0.65.(b) To find the probability that a junior gave the closing argument given that the team loses the debate, we can use Bayes' theorem. Bayes' theorem states that the probability of event A occurring given that event B has occurred is equal to the probability of event A and event B occurring divided by the probability of event B occurring. In this case, the event A is that a junior gave the closing argument. The event B is that the team loses the debate. The probability of event A and event B occurring is 0.35 * (1 - 0.65) = 0.1225. The probability of event B occurring is 1 - 0.65 = 0.35. Plugging in these values, we get the following: P(A | B) = P(A \cap B) / P(B) , P(A | B) = 0.1225 / 0.35 , P(A | B) = 0.229. Therefore, the probability that a junior gave the closing argument given that the team loses the debate is 0.229.

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Answer:

3

Step-by-step explanation:

12x+5(1)=41

12x=-5+41

12x=36

x=36/12

x=3

12(3)+5(1)=

36+5=41

Answer:

1.2

Step-by-step explanation:

So in the picture, there is the working out I did (sorry for the bad writing). When you work out the question, remember to match the decimal points (I've done this in the pic). The answer I got was 1.20 but that is the same as 1.2.

hope this helps :)

The length of a piece of wood that uses 8 nails as required in the task content is; 24 inches.

It follows from the task content that the length of a piece of wood that uses 8 nails is to be determined from the task content.

As evident from the task content; The number of nails needed is determined by; Dividing the length of a piece of wood by 3.

Therefore, the determine the length of a life of wood that uses x nails; the number of nails, x must be multiplied by 3.

Ultimately, it follows from proportion that the required length of a piece of wood that uses 8 nails is; 8 × 3 = 24 inches.

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Answer:24 Inches

Step-by-step explanation:The length of a piece of wood that uses 8 nails as required in the task content is; 24 inches.

What is the length of a piece of wood that uses 8 nails?

It follows from the task content that the length of a piece of wood that uses 8 nails is to be determined from the task content.

The critical value z* for a 98% confidence level is 2.326.

To find the critical value z* for a 98% confidence level using a standard Normal table or technology, you should follow these steps: Determine the area in the tail(s) of the distribution. Since it is a 98% confidence level, you want to capture 98% of the area under the curve, leaving 2% in the tails. For a two-tailed test, divide 2% by 2 to get 1% in each tail.

Find the corresponding z-score for the tail area. In this case, you want to find the z-score associated with 1% in the tail, which means 99% of the area lies to the left of the critical value. Look up the z-score in a standard Normal table or use technology to find it. For 99% of the area, the z-score is approximately 2.326.

So, the critical value z* for a 98% confidence level is 2.326.  

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