The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x) . If F(x) x^2 , which of the following could be the equation of G(x)

Answer:

59 miles per hour

Step-by-step explanation:

girl im taking the same benchmark and i am on the edge of crying. but anways stan nicki

Answer:

Step-by-step explanation:

The given trigonometric expression is :

11 cos^2 x +3 sin^2 x+6sinx cosx +5

or, we can write it as,

(9 cos^2 x + 2 cos^2 x) + (2 sin^2 x + sin^2 x) + 6sinx cosx +5

Again, after rearranging the terms, we can write the whole expression as,

(9 cos^2 x + sin^2 x + 6sinx cosx) + (2 cos^2 x + 2 sin^2 x) + 5

Then if you factor the following underlined section as you would with a polynomial:

(9 cos^2 x + sin^2 x + 6sinx cosx) + (2 cos^2 x + 2 sin^2 x) + 5

You get:

(3 cos x + sin x)^2 + 2 (cos^2 x + sin ^2 x) + 5

Now, the term inside the second bracket (cos^2 x + sin ^2 x) is a very popular trigonometric identity and it's value is equal to one.

So, now the whole expression becomes,

(3 cos x + sin x)^2 +7

Now, the maximum and the minimum value of the whole expression depends upon the maximum and the minimum value of the term (3 cos x + sin x), which is of the form (a cosx + b sinx),

The maximum and minimum value of (a cosx + b sinx) is relatively easy to find.

So, I've attached a screenshot from a relevant document below:

Here, a=3 and b=1,

So, R= √10

As the value of cosine of any angle lies between -1 to 1, so the value of the value of expression cos(x − α) will lie between -1 to 1.

Hence, the maximum and the minimum value of (a cosx + b sinx) will be -R and R and all the values of the expression will lie between them.

i.e., in our case between (-√10) to √10.

Again, coming back to our original expression,

(3 cos x + sin x)^2 +7

The value of the term in bracket will lie between (-√10) and √10.

But, there is a catch here, as the squares of negative terms come out be positive, hence we can't take the negative term to find the minimum value of our expression. the minimum value of the expression will be at the minimum non-negative value in the range, which is zero.

So, the minimum value will be,

(0)^2 + 7=7

and the maximum value will be,

(√10)^2 +7 = 17

Answer:

n = 7

Step-by-step explanation:

The equation is,

→ n - 3n = 14 - 4n

Now the value of n will be,

→ n - 3n = 14 - 4n

→ -2n = 14 - 4n

→ -2n + 4n = 14

→ 2n = 14

→ n = 14/2

→ [ n = 7 ]

Hence, the value of n is 7.

Answer:

Arithmetic Recursive

Step-by-step explanation:

6. Solution for |2x-3| = |x| are x = 1,3

7. Solution for 8 + |4v - 7| ≥ 17 is,

          v ≥  4 ,  v ≤ -1/2

8. Number of computer meets in the condition = 6

Average:

                Average of given number is given by sum of all numbers divided by total number of numbers.

6.  |2x-3| = |x|

Case I :

            when x<0

            |2x-3| = |x|

           -(2x-3) = -x

           -2x + 3 = -x

             2x - x = 3

            x = 3 ( Not possible as x<0 )

           No solution in this case.

Case II :

            when   0< x< 3/2

              |2x-3| = |x|

            -(2x -3) = x

            -2x + 3 = x

             2x +x = 3

             3x = 3

              x =1 (Valid solution)

Case III :

             when x>3/2

             |2x-3| = |x|

             2x-3 = x

             2x -x =3

              x = 3 (Valid solution)

Thus solution for |2x-3| = |x| are x = 1,3

7.

          8 + |4v - 7| ≥ 17

               |4v - 7|  ≥ 17 -8

                |4v - 7| ≥ 9

      ⇒   4v - 7 ≥ 9

            4v ≥ 9+7

             v ≥  4

and,

         4v - 7 ≤ - 9

         4v ≤  -2

          v ≤ -1/2

     Thus solution for 8 + |4v - 7| ≥ 17 is,

          v ≥  4 ,  v ≤ -1/2

8.

       We know,

                  Average of quantity =  sum of quantity / Number of quantity

    For the given question,

        Sum of price of all computer =  $ (890+650+ 660+450+        725+750+370+670+650+825)

                                   = $ 6640

  and       Number of computer = 10

Average price of computer = $ 6640/10

                                          = $ 664

      Absolute deviation is  $100

So i can pay price between

                                          ($ 664 - $100) to ($ 664 + $100)

                                         that is $564 to  $764

Number of computer meets in this condition = 6

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Answer: 2/3

That x and y vary inversely means the product xy is a constant. The second sentence tells us that this constant product is (1/3)(1/2) = 1/6. So when x = 1/4, x* y = 1/4 * y = 1/6 as well. Dividing both sides by 1/4, we have y = 1/6 * 4 = 2/3.

Answer:

           30mph

Step-by-step explanation:

120 diveded by 4=30

Answer: 30

Step-by-step explanation:

120 Divided By 4 = 30 Hope That Helps

Answer:

336

Step-by-step explanation:

ANSWER:

y=-4/5x+7

Subtract 8x from both sides of the equation.

10=70y −8x

Divide each term by 10 and simplify

cancel the comman factor to Cancel the common factor.

which is 10

Divide y by 1

Simplify  

    70     -8x

y= --- + --------

    10        10

write in y=mx+b form

so it y=-4/5x+7

The two internal bisectors and one external bisector of the angles of a triangle meet the opposite sides in three collinear points.

When we consider a triangle, each angle has an internal bisector and an external bisector.

The internal bisector of an angle divides the angle into two equal parts, while the external bisector extends outside the triangle and divides the angle into two supplementary angles.

To prove that the two internal bisectors and one external bisector of the angles of a triangle meet the opposite sides in three collinear points, we need to understand the concept of angle bisectors and their properties.

First, let's consider one of the internal bisectors. It divides the angle into two equal parts and intersects the opposite side.

Since both angles formed by the bisector are equal, the opposite sides of these angles are proportional according to the Angle Bisector Theorem.

Now, let's focus on the second internal bisector. It also divides its corresponding angle into two equal parts and intersects the opposite side. Similarly, the opposite sides of these angles are proportional.

Next, let's examine the external bisector. Unlike the internal bisectors, it extends outside the triangle. It divides the exterior angle into two supplementary angles, and its extension intersects the opposite side.

To understand why the three bisectors meet at collinear points, we observe that the opposite sides of the internal bisectors are proportional, and the opposite sides of the external bisector are also proportional to the sides of the triangle.

This implies that the three intersecting points lie on a straight line, as they satisfy the condition of collinearity.

In conclusion, the two internal bisectors and one external bisector of the angles of a triangle meet the opposite sides in three collinear points due to the proportional relationship between the opposite sides formed by these bisectors.

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The correct answer is 8.3 repeated.

25 divided by 3 is 8.3 repeated and so is the rest so it is obvious to say that 8.3 repeated is the correct answer.

Answer:

795 toys

Step-by-step explanation:

if she gives away 25 toys each week for 22 weeks, that will be a total of 550 toys in 22 weeks

And now we simply minus 550 from 1345 to get 795 toys remaining after 22 weeks

Chris and Mary, who live 14 miles apart, will meet after apart, will meet after a certain number of hours. Chris walks at a rate of 3 mph, and Mary walks at a rate of 4 mph.

To determine the number of hours it takes for Chris and Mary to meet, we can use the concept of relative speed. The relative speed is the sum of their individual speeds, which is 3 mph + 4 mph = 7 mph.

Since they are walking towards each other, their combined speed of 7 mph represents the rate at which the distance between them is decreasing. The distance between them is initially 14 miles. We can use the formula: time = distance / speed to find the number of hours it takes for them to meet.

Applying the formula, time = 14 miles / 7 mph = 2 hours. Therefore, Chris and Mary will meet after 2 hours of walking.

The concept of relative speed helps us determine how the distance between two objects changes over time when they are moving towards each other.

By considering their individual speeds and using the formula for time, we can calculate the time it takes for Chris and Mary to meet. In this case, their combined speed of 7 mph allows them to cover the initial distance of 14 miles in 2 hours, resulting in their meeting point

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Answer:

What is the question?

Step-by-step explanation:

Answer:

What do you need help in

Step-by-step explanation:

The expected winning and the value of that prize, which gives an expected winning is c. $3.13 per ticket.

The expected winnings per ticket in the raffle can be calculated by adding the products of the probability of the expected value of winning each prize. The predicted wins per ticket may be computed as the total of each prize's value multiplied by its probability of winning, i.e.

Expected winnings per ticket

= (1/800) × $400 + (4/800) × $200 + (12/800) × $125 + (30/800) × $60 + (753/800) × $0

If we condense the equation, we obtain:

Calculating the total wins anticipated per ticket

= $0.50 + $1.00 + $1.88 + $0.75 + $0

Expected winnings per ticket = $3.13

Therefore, if you buy a ticket, the expected winnings per ticket are $3.13.

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Complete question:

For a fundraiser, there is a raffle with 800 tickets, each costing $15. 1 ticket will win a $400 prize, 4 tickets will win a $200 prize, 12 tickets will win a $125 prize, 30 tickets will win a $60 prize, and the remaining tickets will win nothing. if you buy a ticket, what are the expected winnings per ticket? question options:

a) $5.36

b) $5.63

c) $5.33

d) $5.66

Answer:

y=-1x+3

Step-by-step explanation:

2-5/1+2

-3/3

-1

y=-1x+b

2=-1+b

b=3

y=-1x+3

The time needed to get to the ground is t = 5 sec.

What is Rational function?

Any function that can be expressed as a polynomial divided by a polynomial is considered to be rational. The domain of a rational function is the set of all numbers excluding the zeros of the denominator because polynomials are defined everywhere.

Given that;

The equation for the object's height at time t sec following launch from a platform that is 80 feet tall is:

\(s(t) - 16t^{2} + 64t+80\)

After launch, we must ascertain the time it takes to reach the ground.

By entering t = 0 and the height s(0) = 80 feet in the equation (1)

S(t) will be zero when it reaches the ground, thus by setting s(t)=0 in equation (1), we get

\(0 = -16t^2+64t+80\)

⇒\(-16t^2+64t+80 =0\)

⇒\(t^2-4t-5=0\)

⇒\(t^2-5t+t-5=0\)

⇒\(t(t-5)+1(t-5)=0\)

⇒(t+1)(t-5)=0

The required time to reach the ground is t = 5 sec, disregarding negative values of t.

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\(\text{Given that,}\\\\\vec{v} = 15 \hat{i} +8 \hat j\\\\ \\\text{Magnitude of the vector,}\\\\|\vec v| = \sqrt{15^2 +8^2}= \sqrt{289} = 17\)

Answer:

about 2000

Step-by-step explanation:

1536 rounded to the nearest hundred is 1500

480 rounded to the nearest hundred is 500

1500+500 is 2000

exact answer is 2016 and when rounded to nearest hundred it is 2000

100 square centimeters are in the area of the largest possible inscribed triangle having one side as a diameter of circle.

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.

Base = 2r = 2*10 = 20 cm

Height = r=  10 cm

Area =  1/2 * base * height

        =   1/2 * 20 * 10

        =   100 square centimeters

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Answer:

1/2 x [(12/2)-6]+13

Step-by-step explanation:

something like that. hope it helped sista

Answer:

Step-by-step explanation:

3.14(3*5 + 3 to the power of 2)

3.14 * (3 * 5 + 3²) =

3.14 * (15 + 9) =

3.14 * 24 = 75.36 or 24π

When considering one-way mileages for trails to different lakes, the following average(s) would make sense: arithmetic mean and median. The arithmetic mean, or simply the average, would be a suitable measure to consider when calculating the average one-way mileage for trails to different lakes.

It is calculated by summing up all the mileages and dividing them by the total number of trails. This average provides a balanced representation of the overall trail lengths, taking into account both shorter and longer distances. It can be useful for general comparisons and understanding the overall average trail length.

Additionally, the median would also be a relevant measure to consider. The median represents the middle value in a set of data when arranged in ascending order. In the context of one-way mileages for trails, the median would indicate the midpoint or the distance at which half of the trails are longer and half are shorter. This measure is particularly useful when there are extreme values or outliers in the data, as it is not affected by such extreme values. The median can provide a better representation of the typical trail length and help mitigate the influence of outliers on the average.

By considering both the arithmetic mean and the median, one can obtain a comprehensive understanding of the distribution of one-way mileages for trails to different lakes. The mean gives an overall average, while the median provides insights into the central tendency of the data, particularly when extreme values are present. Together, these measures offer a well-rounded perspective on the average trail lengths and help in making informed decisions or comparisons related to the trails and lakes.

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The maximum profit occurs at the endpoint t = 100, where the profit is $5551.20.

To maximize the profit function P(t) = 60t^2 + 420t - 440, we need to find the value of t that will give us the maximum profit.

One way to do this is to use calculus. We can take the derivative of P(t) with respect to t and set it equal to zero to find the critical points:

P'(t) = 120t + 420

Set P'(t) = 0 and solve for t:

120t + 420 = 0

t = -3.5

This gives us one critical point at t = -3.5. However, this value of t doesn't make sense in the context of the problem - we can't sell tickets at a negative price!

So we need to check the endpoints of the domain of the function, which is given by the constraint that t is greater than or equal to zero (we can't charge a negative price for tickets either).

When t = 0, P(0) = -440.

When t is very large, say t = 100, P(100) = 600000 - 44000 - 440 = 555120.

Therefore, the maximum profit occurs at the endpoint t = 100, where the profit is $5551.20.

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The binomial theorem to find the coefficient of xayb in the expansion of (2x3 - 4y2)7 are as follows :

a) For \(\(a = 9\)\) and \(\(b = 8\):\)

\(\(\binom{7}{9} \cdot (2x^3)^9 \cdot (-4y^2)^8\)\)

b) For \(\(a = 8\)\) and \(\(b = 9\):\)

\(\(\binom{7}{8} \cdot (2x^3)^8 \cdot (-4y^2)^9\)\)

c) For \(\(a = 0\)\) and \(\(b = 14\):\)

\(\(\binom{7}{0} \cdot (2x^3)^0 \cdot (-4y^2)^{14}\)\)

d) For \(\(a = 12\)\) and \(\(b = 6\):\)

\(\(\binom{7}{12} \cdot (2x^3)^{12} \cdot (-4y^2)^6\)\)

e) For \(\(a = 18\)\) and \(\(b = 2\):\)

\(\(\binom{7}{18} \cdot (2x^3)^{18} \cdot (-4y^2)^2\)\)

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The probability of seeing exactly 5 hearts out of 10 cards is\((13/52)^5 × (39/52)^5.\)

The probability of seeing exactly 5 hearts out of 10 cards can be calculated as follows: The total number of cards in a deck is 52. The number of hearts in a deck is 13. Since no card has been removed from the deck, the probability of seeing a heart is 13/52. The probability of seeing a non-heart is 39/52. Since we are looking at 10 cards, the probability of seeing exactly 5 hearts,

p(h)= 13/52

p(nh) = 39/52

hence, \((13/52)^5 × (39/52)^5\)

This means that the probability of seeing exactly 5 hearts out of 10 cards is \((13/52)^5 × (39/52)^5.\)

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Answer:

4 and 6

Step-by-step explanation:

The number of star wars that Amy has is 255 and Carly has is 85

Linear equation:

The linear equation is a combination of algebraic terms that are used to find unknown quantities in a word problem. To solve the given problem represent the unknown value with a variable and form a linear equation according to the given condition. Now solve the equation for the value of the variable.

Here we have

Amy has three times as many star wars toys as Carly.  

Let Amy have 'x' star wars and Carly have 'y' star wars

From the given data, x = 3y  

It is also given that both have 340-star wars toys in total

=> y + 3y = 340

=> 4y = 340

=>  y = 85

Hence, the number of star wars that Carly has = 85

Number of star wars that Amy has = 3(85) = 255

Therefore,

The number of star wars that Amy has is 255 and Carly has is 85

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Answer:

Whats the question?

Step-by-step explanation:

An equation that represents a given situation is 39+x=64.

The given statement is last week Sally had thirty-nine dollars. She washed cars over the weekend and now has sixty-four dollars.

We need to write an equation that represents a given situation.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the money earned by Sally over the weekend be x.

Now, 39+x=64

Therefore, an equation that represents a given situation is 39+x=64.

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Answer:

6x = 84 - 2y

14x = 72 - 2y

Step-by-step explanation: