Insert a graph of the line with slope 3/4 through the point (-7,-5).

Answer:

dancing

Step-by-step explanation:

d

a

n

c

I

n

g

don't

cry

ok

The answer for the missing piece is to 'find' the variable.

The money in his bank account after the deposit is $12.09.

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Answer:

a

Step-by-step explanation:

hope that helps

The class interval of the histogram based on the information will lie between B. 150 ≤ h < 165.

It should be noted that a histogram simply means a graph that is used to show the data given. It helps with the distribution of data.

In this case, the histogram shows the heights of the students.

It should be noted that the median simply means the number in the middle. In this case, the median will be between 150 and 165 based on the diagram.

In conclusion, the correct option is B.

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Rakesha  claims y =5x -7 is linear function for the sequence and represented by explicit formula is represented by aₙ = -2 +5(n-1).

As given in the question,

Linear function for the sequence represented by ;

y = 5x -7

Compare it with y = mx + b

m = 5

b= -7

For x = 1

First term (a₁)

y = 5(1) -7

  = -2

For x =2

second term (a₂)

y = 5(2) -7

  =3

Common difference = second term - first term

                               = 3 - (-2)

                               = 5

nth term of the sequence :

aₙ = a₁ + (n-1)d

   = -2 + (n-1)5

    = -2 +5(n-1) represent the  explicit formula.

Therefore, Rakesha  claims y =5x -7 is linear function for the sequence and represented by explicit formula is represented by

aₙ = -2 +5(n-1).

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The situation that best represents the given equation is that there are two limo companies that charge based on the number of people, "h", that they carry. Limo A charges $6.5 plus $10.25 per person. Limo B charges $4 plus $11 per person. The equation equates the charges for the two companies to carry a "h" number of people.

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Since each serving contains 2/5 of a pound, then, the total weight of x servings would be:

If the total weight of x servings should be equal to the weight of the turkey, then:

Multiply both sides of the equation by 5/2:

Simplify the expressions on both sides of the equation:

Therefore, the number of adult servings from a 10 pound turkey, will be 25.

The y-intercept of the equation is 4.

The equation of a line is

y = mx + c

x, y is the point on the line

m = slope of a line

c = y-intercept

As the equation of a line is 3x + 2y = 8.

We have to find the y-intercept of the equation.

3x + 2y = 8

2y = -3x + 8

y = -3/2x + 4

y = mx + c

So from this, we get the y-intercept

c = 4

Therefore the y-intercept of the equation is 4.

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(0,0) is a saddle point and (1,1) is a local minimum.

From the contour map, the level curves intersect at (0,0) . Hence (0,0) is a saddle point.

and the center of level curve 3.2 (1,1) is a local minimum.

Hence (0,0) is a saddle point and (1,1) is a local minimum.

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Answer:log_3 (3) + log_3(x)

=log_3(36)

Step-by-step explanation:log_3 (3) + log_3(x)

=log_3(36)log_3 (3) + log_3(x)

=log_3(36)

Answer:

For two functions to be equal, the arguments of each must be equal.

x=12

Step-by-step explanation:

The surface area of an object is the sum of the areas of all of its faces, or the exterior surfaces of its three dimensions.

Surface area=6(3.4)^2=69.36 square feet

A solid object's surface area is a measurement of the overall space that the object's surface takes up.

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

A 3D object's surface area is the entire area that all of its faces cover. For instance, if we need to calculate how much paint is required to paint a cube, we can use the cube's surface area. determine how much paint is needed to paint it. It is consistently expressed in square units.

As a refresher, the surface area of an object is the sum of the areas of all of its faces, or the exterior surfaces of its three dimensions.

Surface area=6(3.4)^2=69.36 square feet

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The second pit stop was 0.327 seconds faster than the first pit stop which is the difference between both time

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have been given that during a race the first pit stop took 8.352 seconds and the second pit stop took 8.025 seconds.

To determine how much faster the second pit stop.

We need to calculate the difference between the first pit stop and the second pit stop of time.

the difference = Time of first pit stop - Time of second pit stop

the difference = 8.352 - 8.025

the difference = 0.327 second

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The polynomial that passes through the point (5,100) has the leading coefficient or c equal to 1.38.

We need to determine the leading coefficient c of the polynomial which passes through the point (5,100).

Given polynomial: f(x) = c(x - 1)(x + 1)(x-2)

Substituting f(x) = 100 and x = 5,

100 = c(4)(6)(3)

100 = c72

c= 1.38

Therefore, the leading coefficient c of the polynomial given that the graph goes through the point (5,100) is 1.38.

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Answer:

A) 25% or 1/4

B) 5% or 1/20

Step-by-step explanation:

Part A)

Divide the down payment by the total purchase price to find the percent:

[tex]60,000/240,000=1/4=0.25[/tex]

Part B)

Divide the new down payment by the total purchase price to find the percent:

[tex]12,000/240,000=1/20=0.05[/tex]

The rates for this problem are given as follows:

1) Between 0 and 2 seconds: 1 meter per second.

2) Between 2 and 4 seconds: 0.5 meters per second.

3) Between 4 and 7 seconds: -1 meter per second.

4) Between 7 and 9 seconds: 0 meters per second.

The rates are not constant.

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given according to the following rule:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

For the first rate, between 0 and 2 seconds, we have that:

Hence:

r = (7 - 5)/(2 - 0) = 2/2 = 1 meter per second.

For the second rate, between 2 and 4 seconds, we have that:

Hence:

r = (8 - 7)/(4 - 2) = 1/2 = 0.5 meters per second.

This rate is already different than the first rate, hence the rates are not constant.

For the third rate, between 4 and 7 seconds, we have that:

Hence:

r = (5 - 8)/(7 - 4) = -3/3 = -1 meter per second.

For the fourth rate, between 7 and 9 seconds, we have that:

Hence:

r = (5 - 5)/(9 - 7) = 0/2 = 0 meters per second.

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Answer:

a)77/100 b)7/10 c)7/100

Step-by-step explanation:

The value of a, b and c in Y=ax²+bx+c are 3, -5 and 1 respectively.

As it is provided that the quadratic equation Y=ax²+bx+c goes through the coordinates  (-2, 23), (-1, 9), and (4, 29).

One of the method of solving quadratic is by putting the points,

So, it means that these coordinates will satisfy the equation,

So, putting the coordinates in the equation one by one,

First putting (-2,23)

We get,

(23) = a(-2)²+b(-2)+c

23 = 4a-2b+c

Now, putting, (-1,9)

We get,

(9) = a(-1)²+b(-1)+c

9 = a-b+c

From here, we get,

c = 9-a+b.

Now, putting (4,29)

We get,

(29) = a(4)²+b(4)+c

29 = 16a+4b+c

Now, putting c = 9-a+b, in 29 = 16a+4b+c  and 23 = 4a-2b+c,

we get,

29 = 16a+4b+9-a+b

20 = 15a + 5b

dividing by 5,

4 = 3a+b ….. Equation (1)

Now,

c = 9-a+b in 23 = 4a-2b+c,

23 = 4a-2b+9-a+b

14 = 3a-b ….. Equation (2)

Adding equation 1 and 2,

18 = 6a

a = 3,

Putting a = 3 in equation 1,

4 = 3(3)+b

b = -5

We know,

c = 9-a+b

c = 9-3+(-5)

c = 1

So, a = 3, b = -5 and c = 1.

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The length of the rectangle is 49 cm.

What is perimeter?

Perimeter is the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides.

P = sum of all its four sides

P = a + b + a + b   (Opposite sides of rectangle are equal)

P = 2(a + b)

where a is the length and b is the breadth.

According to question, the breadth is 7 cm shorter than length.

Let x be the length and x - 7 be the breadth.

perimeter = 210 cm

2(x+x-7) = 210

2x - 7 = 210/2

2x - 7 = 105

2x = 105 - 7

2x = 98

x = 49

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Answer:

answer 2 is correct as we have to put 6 in front of 3 , and x infront of 28. doesn't matter if we change its position.

the answer should be 6, 12, 18. 24

the linear equation has solution b=3x+9y/a

what is linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. the equation can be represented as Ax+ By= C,

x, y are variable, A,B, C are constant.

so given equation

x+3y=ab/3

multiply 3 on both side

⇒ ab=3x+9y

⇒b= 3x+9y/a

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Answer:

510 by 2 is 255

255 by 2 is 127.5

127.5=63.75.63.75 by 2=31.875

31.875. by 2=15.9375

15.9375 by 2=7.96875

512 by 2=256

256 by 2=128

128 by 2=64

64 by 2=32

32 by 2=16

The correct answer is the first option.

We can show that the 2 triangles are congruent by using vertical angles, to prove that m∠DCA = m∠TCS

Then by Alternating Interior Triangles, m∠A = m∠T and m∠D = m∠S

And finally, the sides AC and CS are equal, and DC = CT

Then we have 3 pairs of congruent corresponding sides and 3 pairs of congruent corresponding angles, which is the first option.

The simplified fraction is  [tex]\frac{7}{90}[/tex]

How are the fractions multiplied?

[tex]\frac{2}{15} *\frac{7}{12} \\\\=\frac{7}{15*6} \\\\=\frac{7}{90}[/tex]

What is product of fractions?

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7/90 is the simple fraction.

2/15*7/12

=7/15*6

=7/90

The fractions can be made more simpler before being multiplied by removing common components from the numerator and denominator.

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Solution

We are given

We want to find make table and graph

(a). To make table, We take

Similarly, we find the values for the remaining values of x

To draw the graph, we have

The difference or distance between the two points is 5768ft

To solve this problem, we have to find the difference between the highest point and lowest point of the county.

When the height of a point is its vertical distance above or below the surface of a reference plane* you have selected, it is called the elevation* of that point.

When the height of a point is its vertical distance above or below mean sea level (as the reference plane), it is called the altitude* of the point.

The difference between the points of elevation in this question is

[tex]5776 - 8 = 5768ft[/tex]

The difference in elevation is given as 5768ft

The complete question is-

At the highest point, the elevation of a county is 5,667 feet above sea level. At its lowest the elevation of the county is 7 feet below sea level. Answer parts a through c. Write an expression using integers to represent the difference between the elevations.

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The function is f(x)=(x³+3x²-x-3)/(x²-1). The continuous function option A is correct.

Given that,

The function is f(x)=(x³+3x²-x-3)/(x²-1)

We have find the continuous function.

If the function's curve DOES NOT break at the point x = a, it is said to be a continuous function at that point in calculus. The mathematical definition of a function's continuity is given below. If x = a, then f(x) is continuous at that moment.

f(a) exists;

limₓ → ₐ f(x) exists;

limₓ → ₐ₋ f(x) = limₓ → ₐ₊ f(x) and

Both of the above values are equal.

Now, limₓ → ₐ f(x) = f(a).

The function g(x)=[tex]\left \{ {{\frac{x^{3}+3x^{2}-x-3 }{x^{2} -1} }, x\neq -1,1 \atop {-2, x=-1,1}} \right.[/tex]

Therefore, the continuous function option A is correct.

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A sequence of transformations that would not return a shape to its original position is: 'Translate 3 unit left, then 3 units down.'

1. Reflect over line x, and over x again.

These transformations are direct opposite and will cancel out one another. Hence, the shape will return to its initial position.

2. Translate 1 unit up, then 4 units down, then 3 units up.

This transformation will return a shape to its original position.

3. Rotate 270° counterclockwise around center C, then rotate 90° counterclockwise around C again.

This means, rotate object by 360° counterclockwise around C.

And this sequence of  transformations will return a shape to its original position.

4. Translate 3 unit left, then 3 units down.

These sequence of transformations would not make a shape go back to its original position.

Therefore, a sequence of transformations that would not return a shape to its original position is: 'Translate 3 unit left, then 3 units down.'

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