What is the equation of the line that passes through the point (-5,6) and
has a slope of o?

Answer:

7(45)=7(40)+7(5)

Step-by-step explanation:

We need to represent 7(45) using the distributive property to simplify.

We can write 45 as 40+5

So it becomes,

7(45) = 7(40+5)

Distributive property is : a(b+c)=ab+ac

a=7, b = 40 and c = 5

7(40+5)=7(40)+7(5)

So, the correct option is (4).

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Answer:

180/3=60

60/3=20

20/3=6.667(redondeado)

6.667/3= 2.222(redondeado)

2.222/3=0.741(redondeado)

0.741/3=0.247

Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

Answer:

4.5 cups

Step-by-step explanation:

Answer:

D. (f - g)(x) = 4x^3 + 7x^2 - 6x + 1

Step-by-step explanation:

You need to subtract g(x) from f(x).

(f - g)(x) = f(x) - g(x) =

= 4x^3 + 7x^2 - 2x - 1 - (4x - 2)

Distribute the negative sign at the left of the parentheses as you would distribute a -1. Every sign inside the parentheses changes.

= 4x^3 + 7x^2 - 2x - 1 - 4x + 2

Combine like terms.

= 4x^3 + 7x^2 - 6x + 1

Answer: D. (f - g)(x) = 4x^3 + 7x^2 - 6x + 1

Answer:

4x^3+7x^2-6x+1

Step-by-step explanation:

f(x) = 4x^3 +7x^2 -2x-1

g(x) = 4x-2

f(x) - g(x) = 4x^3 +7x^2 -2x-1 - ( 4x-2)

Distribute the minus sign

                4x^3 +7x^2 -2x-1 - 4x+2

Combine like terms

                   4x^3+7x^2-6x+1

Answer:131290

Step-by-step explanation:13129*100/10=131290

From the given table, we can see a column of different car types, and a row of different colors. We are asked about the probability that a random chosen car would be a beige SUV

Answer:

15-18

Step-by-step explanation:

The IQR is the middle 50% of a set of numbers

There are 8 numbers, so its the middle 4

The middle 4 consists of 15,15,16,18

The range is 15-18

The probability generating function of a discrete nonnegative integer valued random variable X is defined by ø(s) = E[s] = Σp;si j=0, where pj is the probability mass function of X. P{XY} = P{X=i,Y=j} = P{X=i}P{Y=j} = pi pj sij,Therefore, ø(s) = Σ pi pj sij = P{XY}

In this problem, we are also given a geometric random variable Y with parameter p 1 s, where 0 < s < 1. Y is independent of X. To show that ø(s) = P{XY}, we must show that the two expressions are equal.

First, we note that the probability of X and Y being equal to i and j, respectively, is given by P{X=i,Y=j} = P{X=i}P{Y=j} = pi pj sij. This is because the probability of X being equal to i is pi, and the probability of Y being equal to j is pj (where p is the parameter of the geometric distribution). Since sij is the product of i and j, the probability of both X and Y being equal to i and j, respectively, is pi pj sij.

We can now substitute this expression into the probability generating function for X. We have that ø(s)

= E[s] = Σp;si j=0

= Σ pi pj sij

= P{XY}

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To seat all 58 children in the hall for the concert, 10 rows are needed.

1. Determine the number of children per row: Since there are 6 seats in a row, each row can accommodate 6 children.

2. Divide the total number of children by the number of children per row: Divide 58 (the total number of children) by 6 (the number of children per row).

  58 ÷ 6 = 9 with a remainder of 4

  This means that 9 full rows can be formed, and there will be 4 children left after the last full row.

3. Check if there are any remaining children: Since there are 4 children remaining, they cannot form a complete row by themselves.

4. Calculate the number of rows needed: Add 1 to the number of full rows to account for the remaining children.

  9 full rows + 1 row for the remaining children = 10 rows in total.

Therefore, to seat all 58 children in the hall for the concert, 10 rows are needed.

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The inequality which represents the number of jeans and sweater which he must purchase is; $17x + $9y >= $75.

It follows from the task content that, to receive free shipping, $75 or more must be spent on the pieces of clothing to receive free shipping.

On this note, it follows that the required inequality is; $17x + $9y >= $75.

This follows from the fact that jeans are $17 each and sweaters are $9 each.

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Step-by-step explanation:

step 1. 10t + 15 - 3t < 16 (distributive property)

step 2. 7t +15 < 16 (combine like terms)

step 3. 7t < 1 (subtract 15 from both sides)

step 4. t < 1/7 ( divide both sides by 7.

Answer:

152 cm

Step-by-step explanation:

Perimeter of kite= 2(a+b)

P= 2(AB+CD) = 2(29+47) = 2 *(76) = 152 cm.

If something remains unclear, be free to ask questions!

Answer:

2

Step-by-step explanation:

if you multiply 2 by 3=6

Answer:

B: Using the table,multiply 2 and 1 both by 3

Step-by-step explanation:

Just took the quiz on Edge 2021

Answer:

3

Step-by-step explanation:

To evaluate |3b - 4a| substitute a = -3 and b = -5 in the given expression.

|3(-5) - 4(-3)| , multiply

|-15 +12| , add

|-3| , take the -3 out of the absolute value

3

Hey there!

|3b - 4a|

= |3(-5) - 4(-3)|

= |-15 - (-12)|

= |-15 + 12|

= |-3|

= |3|

= 3

Therefore, your answer is: 3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

b, c and e

Step-by-step explanation:

Given

See attachment for functions

Required

Select all statements that contain both functions

First, calculate the rate (slope) of both functions.

This is calculated as:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

For Alec's

\((x_1,y_1) = (0,3)\)

\((x_2,y_2) = (2,9)\)

So, the slope is:

\(m = \frac{9 - 3}{2 - 0}\)

\(m = \frac{6}{2}\)

\(m =3\)

For Beth's

\((x_1,y_1) = (5,17)\)

\((x_2,y_2) = (12,38)\)

So, the slope is:

\(m = \frac{38 - 17}{12 - 5}\)

\(m = \frac{21}{7}\)

\(m =3\)

Beth and Rec have the same slope. Hence, they save at the same rate.

Next, determine the amount they started with.

This implies that we calculate y when x = 0

From Alec's graph.

\((x,y) = (0,3)\)

Alec's initial savings is 3

For Beth's savings, we make use of slope formula.

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\((x_1,y_1) = (5,17)\)

\((x_2,y_2) = (0,y)\)

So, we have:

\(3 =\frac{y - 17}{0 - 5}\)

\(3 =\frac{y - 17}{ - 5}\)

\(y - 17 = -15\)

\(y = 17 -15\)

\(y = 2\)

Beth's initial savings is 2

Hence, Alec started with more money

Next, is to determine who has more money after 10 days.

Since they save at the same rate, the difference in their savings after any number of days will be the difference in their initial savings.

The difference (d) is calculated as:

\(d = 3 - 2\)

\(d = 1\)

Hence, Alec will have $1 more than Beth after 10 days

Answer:

its bc and e or Alec and Beth are saving at the same rate. Alec started with more money than Beth. and At 10 days, Alec will have $1 more than Beth in savings.

Step-by-step explanation:

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

7:3

Step-by-step explanation:

The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.

When anything is referred to as being "long," it refers to its overall length. In other words, it is the larger of the third or upper two dimensions of a geometric object. An example of a shape with two dimensions is a rectangle.

To find out how many seconds it takes for the water bottle to travel the length of the belt, we can use the equation:

distance = rate x time

We know the distance (294 feet) and the rate (7 feet per 6 seconds). Let's solve for time:

294 feet = (7 feet/6 seconds) x time

294 feet x 6 seconds = 7 feet x time

1764 seconds = 7 feet x time

time = 1764 seconds / 7 feet

time = 252 seconds

So it takes 252 seconds for the water bottle to travel the length of the belt.

Now let's calculate the sorter's error:

343 seconds - 252 seconds = 91 seconds

The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.

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Answer:

y  = 3, x = 3

Step-by-step explanation:

5x – 3y = 6

5x = 6 + 3y

x = (6 + 3y)/5

3x + 4y= 21

3x = 21 - 4y

x = (21-4y)/3

Using simultaneous equations:

(21-4y)/3 = (6 + 3y)/5

--> 105-20y = 18 + 9y

29y = 87

8

In this pattern, we have 4 12 then 20.

We can see that the difference 4 and 12 is 8.

Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.

\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)

Answer:

Assume that the formula is true for the (k+1)term

Step-by-step explanation:

I learned this in class a couple weeks ago in intermediate algebra

Answer:

Step-by-step explanation:

12 cars in 15 hours how many cars is in 10 hours

12 : 15 = x : 10

x = 12 * 10 : 15

x = 8

-------------------

check

12 : 15 = 8 : 10

0.8 = 0.8

the answer is good

The calculated length of the segment MN in the triangle is 20

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

The triangle

The third angle in the triangle is calculated as

Third angle = 180 - 50 - 50

Evaluate

Third angle = 80

The length of the segment MN is then calculated as

MN/sin(50) = 20/sin(50)

This gives

MN = sin(50) * 20/sin(50)

Evaluate

MN = 20

Hence, the length of the segment MN in the triangle is 20

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\(\huge \bf༆ Answer ༄\)

As we know, sum of interior angles of a triangle is 180°

that is ~

Hence, value of x is 9°

Answer:

Step-by-step explanation:

Sum of interior angles is 180:

Answer:

Below

Step-by-step explanation:

From 7 to 10 AM is THREE hours (if the times are all on the same day)

Answer:

the answer is d

Step-by-step explanation:

i got it right on edge 2021

(x,y) → (x +4, y + 2) is the rule for the transformation shown in the figure that translates triangle ABC into triangle A'B'C'. Therefore, the correct option is option D.

A transformation in mathematics is a function f which projects a set X to it only, i.e., f: X X. This function typically has some geometrical foundation. Examples include geometric transformations, such as spatial transformations, affine transformations, including particular affine transformations like rotations, reflections, and translations, as well as linear transformations of vector spaces.

Although it is usual to refer to any function of a set within itself as a "transformation," particularly in phrases like "transformation semigroup" or related expressions, there is another type of terminological norm in which the word "transformation" is exclusively used to refer to bijections. (x,y) → (x +4, y + 2) is the rule for the transformation shown in the figure that translates triangle ABC into triangle A'B'C'.

Therefore, the correct option is option D.

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