CAN SOMEONE SLOVE THESE?

The equation of the tangent line to the graph of F(x) = f(x)g(x) at x = -3 can be found using the point-slope form of a linear equation. Thus, the equation of the tangent line is y = -35x - 105 - 20, which can be further simplified to y = -35x - 125.

First, we need to find the values of F(-3) and F'(-3). Since F(x) = f(x)g(x), we can substitute x = -3 into both f(x) and g(x) to find f(-3) and g(-3). Given that f(-3) = -5 and g(-3) = 4, we have F(-3) = (-5)(4) = -20.

To find F'(-3), we can use the product rule. The product rule states that (fg)' = f'g + fg'. Applying this to F(x) = f(x)g(x), we have F'(-3) = f'(-3)g(-3) + f(-3)g'(-3). Given that f'(-3) = -5 and g'(-3) = 3, we can calculate F'(-3) = (-5)(4) + (-5)(3) = -35.

Now, we have the point (-3, -20) on the graph of F(x) and the slope of the tangent line, which is -35. Using the point-slope form of a linear equation, we can write the equation of the tangent line as y - (-20) = -35(x - (-3)), which simplifies to y + 20 = -35(x + 3). Thus, the equation of the tangent line is y = -35x - 105 - 20, which can be further simplified to y = -35x - 125.

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Answer: $164

Step-by-step explanation:

25*7=175

175+12.5

226.50-187.50

5*25=125+39

Jones family payed $164

Answer:

AED = 136

Step-by-step explanation:

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Here are the polynomials that satisfy the given conditions:a. Polynomial of lowest degree with zeros of multiplicity 2 and multiplicity 1 and with f(0) = 15To create a polynomial of degree two with a zero of multiplicity 2 and another zero of multiplicity 1, we must have a quadratic of the following form:(x - a)(x - a)b = x^2 - (2a) x + a^2.

We should have another factor of the form (x - b), so the quadratic can be multiplied by this linear factor, giving a cubic function:f(x) = k(x - a)^2 (x - b)We are told that the function passes through the point (0, 15), so we can use this information to figure out the value of k. f(0) = 15k(a)(-b) = 15Then the cubic polynomial with zeros of multiplicity 2 and 1 and with f(0) = 15 is: f(x) = 5x^3 - 25x^2 + 0x + 0b. Polynomial of lowest degree with zeros of -2 (multiplicity 1), 3 (multiplicity 2), and with f(0) = -54 . Similar to the first case, let us create a quadratic first: (x + 2)(x - 3)^2Then multiplying the quadratic by (x - b).

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Answer:

The number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4

Step-by-step explanation:

From the question, the mean absolute deviation (MAD) of the sixth graders = 1.2 and that of the seventh graders = 1.7

The variability in the heights of the sixth graders = 1.2

The variability in the heights of the seventh graders = 1.7

To calculate how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders, we will divide the variability of the seventh graders by the variability of the sixth graders

That is, 1.7/ 1.2 = 1.4167 ≅ 1.4

Hence, the number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4

Answer:

A. \(8x^{6}\)

Step-by-step explanation:

Answer:

8x6

Step-by-step explanation:

Answer:

x = -2

-2(-2^2) + 4(-2)

-2(4) + -8

Answer:

Step-by-step explanation:

Factor to solve.

12a2 + a – 35 = 0

>Multiply the first and the last, 12 and -35

     (12)(-35) = -420

>  Find 2 numbers that multiply to -420 but add to middle term, 1

       -20 and +21 multiply to -420 but adds to 1

>Replace the middle term with -20 and 21

      12a² + a – 35 = 0

       12a² + 20a -  21a – 35 = 0

>Group the first 2 and last 2 terms

      ( 12a² + 20a) (-  21a – 35) = 0

>Take out GCF from each of the groupings

      4a ( 3a + 5) -7(3a + 5) = 0

>Take out GCF (3a + 5)

      ( 4a - 7) ( 3a + 5) = 0

>Set each =0 and solve for a

       ( 4a - 7) = 0                      ( 3a + 5) = 0

          a=7/4                                  a = -5/3

Answer:

He has $1.87 change left after purchasing 7 packs of chalk.

Step-by-step explanation:

20/2.59 = 7.722 approx.

So Bruce can purchase 7 packs of chalk at $2.59 each.

Change left

= 20 -7*2.59

= $1.87

Check the picture below.

The probability that the sample proportion is between 0.72 and 0.8 is given as follows:

0.0864 = 8.64%.

The proportion and the estimate are given as follows:

p = 0.64, n = 65.

The standard error of the proportion is given as follows:

\(s = \sqrt{\frac{0.64(0.36)}{65}}\)

s = 0.0595.

The z-score for a measure X is given as follows:

Z = (X - p)/s.

The probability is the p-value of Z when X = 0.8 subtracted by the p-value of Z when X = 0.72, hence:

Z = (0.84 - 0.64)/0.0595

Z = 2.68

Z = 2.68 has a p-value of 0.9963.

Z = (0.72 - 0.64)/0.0595

Z = 1.34

Z = 1.34 has a p-value of 0.9099.

0.9963 - 0.9099 = 0.0864 = 8.64%.

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The solution to the system of equation y = -3x + 1 and 10x + 2y = -6 is x = -2 and y = 7.

Given the equation in the question

To solve for the values of x and y.

First, plug the first equation into the second equation and solve for x.

10x + 2y = -6

Plug in y = -3x + 1

10x + 2( -3x + 1 ) = -6

Solve for x

10x - 6x + 2 = -6

4x + 2 = -6

4x = -6 - 2

4x = -8

x = -8/4

x = -2

Now, plug x = -2 into the first equation and solve for y.

y = -3x + 1

Plug in x = -2

y = -3( -2 ) + 1

y = 6 + 1

y = 7

Therefore, the solution is (-2,7).

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Answer:

Step-by-step explanation:

Find the sin - ratio of the opposite side to the hypotenuse.

a/b = 5/12 = .41666

The ratio of .41666 is corresponds to an angle of 24.6

Answer:

Hi! The answer to your question is y \(\geq\) -5

Step-by-step explanation:

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Answer:

population: 2,900,904.279

Step-by-step explanation:

You need to calculate the total area first. The figure is made from 2 smaller figures.

Area for the top figure = 159 x (345 - 276) = 159 x 69 = 10971

Area for the bottom figure = 265 x 276 = 73140

Total are = 10971 + 73140 = 84111 mi^2

so you have 34.489 people/mi^2 =>

34.489 x 84111 = 2,900,904.279 people

The result of the expression given as 2/3+3/5 is: 19/15

To solve this exercise we have to perform a mathematical operation of division with fractions:

2/3+3/5

We apply the least common multiple of the denominators and we get:

Least common multiple of denominators: 3*5  = 15

[(15/3)*2 + (15/5)*3] / 15

[(5*2) + (3*3)]  / 15

(10 + 9) /  15

19/15

Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.

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Answer:

Thursday

Step-by-step explanation:

Positive sign denotes that it has gained

Answer: The playground should be repaired and expanded even if that means raising the entrance fee to the park thinking it as socialy desirable or feel pressured

Two ways that this question may lead to response bias are:

1. The question may be framed in a way that makes the respondent feel like they have to answer a certain way in order to be seen as socially desirable. For example, if the question is framed as "Do you think the playground should be repaired and expanded so that all children can enjoy it?" the respondent may feel pressure to answer "yes" even if they don't truly believe it.

2. The question may be framed in a way that presents false information or assumptions that the respondent feels they have to accept in order to answer the question.

For example, if the question is framed as "Given that the playground is in dire need of repair and expansion, do you think it's worth raising the entrance fee to the park?" the respondent may feel pressured to accept the assumption that the playground is in dire need of repair and expansion, even if they don't actually believe it.

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Step-by-step explanation:

y=57x-8y=-12

so we put the Y

y=-12

-12=57x-8y

57x-8x(-12)=-12

(-36/19,-12)<---- answer

Answer:

Function 2 has the larger maximum at 1, -14

Explanation:

When you graph the equation, you can find the maximum of function 2 at 1, -14

Answer:the anwser is 4

Step-by-step explanation:

Answer and Step-by-step explanation:

Work is in the picture.

We get \(30\sqrt{2}\) as the side length, and 180 as the area of the square.

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Answer:

(x -11) * t + 1067

Step-by-step explanation:

We know that in her tutoring job she earns x amount of money and how waitress earns $ 11 / hour.

They give us the combined number of hours that he works with all the jobs, which is 97, but from here we can say that in the time that he does NOT work as a tutor it is actually 97 - t.

Total earned this month = x * t + 11 * (97 -t)

Total earned this month = x * t + 1067 - 11 * t = (x -11) * t + 1067

Answer:

2

Step-by-step explanation:

If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).

The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.

It can be determined by the following method:

1: Plot the given stations on a coordinate plane. Stations are:

Station 1: (74, 41)

Station 2: (0, 43)

2: Calculate the distance of the GPS receiver from each station using the distance formula.

Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by

d = √[(x2 - x1)² + (y2 - y1)²]

Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km

Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km

3: Plot the given distances as the circle on the coordinate plane.

Circle 1: Centred at (74, 41) with a radius of 44 km.

Circle 2: Centred at (0, 43) with a radius of 38 km.

4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).

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Answer:

(x + 4)^2 + (y - 1)^2 = 61.

Step-by-step explanation:

We need to find the square of the radius and the coordinates of the center.

Center = (-10 + 2)/2 , (-4 + 6)/2

= (-4, 1).

Length of the diameter

=  √((-10-2)^2 + (-4-6)^2)

= √(144 + 100)

=√244

So the radius = √244/2

and r^2 = 244/4 = 61,

So the equation of this circle is:

(x - (-4)^2 + (y - 1)^2 = 61

(x + 4)^2 + (y - 1)^2 = 61.

(x + 4)²+ (y - 1)² = 61 is the equation of a circle given the coordinates of the diameter: (-10,-4) (2,6)

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given coordinates of the diameter of circle are  (-10,-4) and (2,6)

Diameter=√(x₂-x₁)²+(y₂-y₁)²

x₂=2,x₁=-10, y₁=-4, y₂=6

Diameter=√(2-(-10))²+(6-(-4))²

=√(12)²+(10)²

=√144+100

=√244

We know that Radius=Diameter/2

R=√244/2

Squaring both sides

R²=244/4

R²=61

So the equation of this circle is:

(x - (-4)² + (y - 1)² = 61

(x + 4)²+ (y - 1)² = 61.

Hence (x + 4)²+ (y - 1)² = 61 is the equation of a circle given the coordinates of the diameter: (-10,-4) (2,6)

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Answer:

A. 4+4+4+4 ...............

Answer - B.

Question -Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he

has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of

the number of ladder rungs that Yan climbed?

A. 4+4+4+4

B. 8+8+8+8

C. (-1)(4+4+4+4)

D. (-8)+(-8)+(-8)+(-8)

Why - The answer is B because  if you read the question, it says basically, 4x8 and to solve that the hard way it is 8+8+8+8 meaning 8, 4 times. So the answer is B. YES A IS WRONG!

Therefore , the solution of the given problem of circle comes out to be

n =4 for the length of chord.

Each spot that is a certain distance from that other point in the plane forms a circle (center). As a result, it is a curve composed of vertices that are isolated from one another in the plane by a specific distance. Furthermore, it is axis of rotation symmetric about the center at all angles. The circle's enclosed, two-dimensional plane has every pair of endpoints uniformly separated from the "center." Draw a line thru the circle to create a circular symmetry line. Additionally, at every angle, it rotates equally about the center.

Here,

Given :

2 cords AB & CD can intersect at point P,

according to the following theorem:

|AP| |PB| = |CP| |PD|

We obtain

=>(n-2) x 16 = 8x (n+8)

using the theory of intersection between two cords.

Use the following formula:

=>16n+32 = 8n +64

=>8n -32 = 0

=>8n=32.

8 divided by both sides.

n = 32/8

n = 4

Consequently, n has a value of 4.

Therefore , the solution of the given problem of circle comes out to be

n =4 for the length of chord.

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Answer:

2(x-1)^2-15

Step-by-step explanation:

2x^2-4x=2(x-1)^2-2

insert that in:

f(x)=2(x-1)^2-2-13=2(x-1)^2-15

a=2,h=-1,k=-15