10. If y = -2x + 3, find y when x = -3.
a) 12
b) -2

Answer:

y = -x - 5

Step-by-step explanation:

The general structure of a line in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

Since you have been given the slope and y-intercept, you can substitute these values into the equation to find the answer.

m = -1                  

b = -5

y = mx + b

y = (-1)x + (-5)

y = -x - 5

Answer:

y = -x -5

Step-by-step explanation:

We can use y = mx + c to find the equation of the line.

Here,

m ⇒ slope of the line

c ⇒ y - intercept

They have already given that,

m ⇒ -1

c ⇒ -5

So, now we can write the equation of the line like this.

To write the equation of the line you can replace m and c with -1 & -5 respectively.

Let us write now.

y = m x + c

y = -1x - 5

Given the function :

The general form of the linear function is : y = m * x + b

Where m is the slope

The rate of the change of the linear function = slope of the function

So, the rate of the change = m = 7

Answer: the rate of change or "slope" is 7

Step-by-step explanation:

MATH

There are 26.24 cubic feet of sand in the rectangular container based on volume.

We must determine the volume of sand in the rectangular container in order to determine how much is there.

Let's start by determining the container's volume:

Container volume equals length, width, and height

Container volume: 6.5 feet by 3.2 feet by two feet

Container volume is 41.6 cubic feet.

The amount of sand in the container's volume must then be determined. We can determine the volume of sand by using the following formula because it fills the container to a depth of 1.3 feet:

Sand volume is determined by its length, width, and depth.

Sand volume = 6.5 feet by 3.2 feet by 1.3 feet

Sand volume = 26.24 cubic feet

As a result, the container contains 26.24 cubic feet of sand.

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Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

Answer:

(-1,-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hi, I see your from K12, i'm from K12 too <3

Hope this helps tho! <3

Answer:

C. 13/100

Step-by-step explanation:

Answer:

B. Six inches less than her brothers

Answer: B.

Step-by-step explanation:

Answer: x = 12

Step-by-step explanation:

Adam scored x points = (x)

Imran scored 3 points fewer than Adam = (x-3)

Shakeel scored twice as many points as Imran = 2(x-3)

Together they scored 39 points.  = 39

**Check your work by inputting substituting 12 for x:

Using linear approximation with a = 0, the estimate of tan 6° is approximately 6.

We can use the linear approximation of a function f(x) at a point a to estimate the value of f(x) near a.

The linear approximation of f(x) at a is given by:

L(x) = f(a) + f'(a)(x - a)

For tan(x), we have:

tan(x) = f(x) = sin(x) / cos(x)

Taking the derivative with respect to x, we get:

f'(x) = sec²(x)

To estimate tan(6), we can use the linear approximation of tan(x) at a = 0. Since we want to estimate tan(6), we need to choose x = 6 and a = 0.

Plugging in the values we get:

L(6) = tan(0) + sec²(0)(6 - 0)

= 0 + 1(6)

= 6

Therefore, the linear approximation of tan(6) is 6.

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Answer:

1st = 6

2nd = 0

3rd = -1

4th = 2

Step-by-step explanation:

Got it right on EDGE

Hope this Helps!

Have a great day!

pls thank and rate!

Thank u and God bless!

:)

The solutions of the expression for the different values of x will be,

5-x/3 = 6

-2 + 2x/3 = -1

-3 + x/2  = 0

2-3x/4 = 2

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expressions are:-

5-x/3 for x = -3

5 - (-3 / 3 ) = 6

-2 + 2x/3 for x = 6

-2 + (2 x 6 )/3 = 2

-3 + x/2 for x = 6

-3 + (6 / 2 ) = 0

2-3x/4 for x = 4

2 - ( 3 x 4 ) /4 = -1

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Answer:

25

Step-by-step explanation:

When we say input, we typically mean what we put in and in this case it is likely "x". Y is the output we get after we input the desired number.

So if I replace the x with "5" like the question asks me to do, I get

y = 5 (5)

y= 25

So my output is 25.

The given expression is :

Since,

So,

and the expression

So, the expression

Answer :

it’s 1/4 of a circle.

Its actually pretty simple, all you do is graph both inequalities and wherever both of the shaded areas overlap is where all of the solutions will be. Hope this helps

The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.

The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.

We have,

The absolute value function f(x) = |x – 2| is a piecewise function that returns the positive distance between the input value x and the number 2.

Geometrically,

It represents the distance of a point on the number line from point 2.

On the coordinate plane,

The graph of the absolute value function is V-shaped, with its vertex at the point (2, 0).

The two arms of the V extend indefinitely in opposite directions, passing through the points (-∞, 2) and (2, +∞) on the positive and negative sides of the x-axis, respectively.

Thus,

The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.

The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.

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Answer:

39.43   for each dog

Step-by-step explanation:

d = 2c      (given)

164 c  +   23 d = 4140       sub in the above equation for d

164 c   + 23 (2c) = 4140

210c = 4140

c =19.71

d = 2c = 39.43

Answer:

B

Step-by-step explanation:

Line B best fits the data because some of the points fall on line B.

Hope this helps!

Answer:

  y = (x -1)² -3

Step-by-step explanation:

A quadratic with a vertex at (h, k) will have an equation of the form ...

 y = a(x -h)² +k

You have (h, k) = (1, -3), and a vertical scale factor* of 1. So, the equation of the graphed curve is ...

  y = (x -1)² -3

_____

* One way to determine the value of "a" in the form shown is to look at the vertical difference between the vertex and the points 1 unit right or left of the vertex. Here, those points are 1 unit above the vertex, so the vertical scale factor "a" is 1.

Looking at the figure, we can see that the lateral rectangles have a missing value (the horizontal length), but these were previously together with the sides of the triangle, so the lengths are 7 cm.

Now, we have two identical triangles and one big rectangle in the middle with dimensions 17cm×26 cm. The area of the triangles are:

And for the rectangle:

The total area is:

Answer:

The operation is commutative

Step-by-step explanation:

Operations

The * operation is defined on the set of real numbers R by

\(a * b=a^3+b^3-3ab\)

For the operation to be commutative a*b should be equal to b*a.

Computing b*a:

\(b * a=b^3+a^3-3ba\)

Rearranging:

\(b * a=a^3+b^3-3ab\)

It's apparent that a*b=b*a, thus the operation is commutative

Answer: 5.75

Step-by-step explanation:

By doing the slope formula then dividing 115 by 20 you’ll get 5.75

Answer:

= 10 tickets

Step-by-step explanation:

= 20% × 50

= 20/100 × 50

= 1000/100

= 10

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

The size of the key space is 256^8, or 2^64. The average key search time would be 2^64/processing power of PC, which would be a very large number.

The question is asking about the size of the key space if 8 randomly chosen 8-bit ASCII characters are used, and how long it would take to find a key on a single PC.

The size of the key space if all 8 characters are randomly chosen 8-bit ASCII characters is 256^8 = 2^64 = 18,446,744,073,709,551,616.

The average key search time with a single PC would be 18,446,744,073,709,551,616 / 2,000,000,000,000 (2 trillion) operations per second = 9,223,372,036,854,775.8 seconds, which is approximately 292,030 years.

The size of the key space for an 8-bit ASCII character is 2^64 combinations. On average, it will take a single PC 2^64 / (processing speed of PC in Hz) seconds to search through the entire key space.

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Answer:

5 m

Step-by-step explanation:

Jacks speed is 5 s per 1 min

2600m ÷720s = 5m/s

Answer:

AAA

Step-by-step explanation:

GET ECKED

Answer:

13

Step-by-step explanation:

This is my first time posting, so sorry if this isn't that clear.

Anyways:

We want to find the x-intercept, and the y-intercept. The x-intercept will always have 0 as y, and the y-intercept will always have 0 as x.

We can find the x-intercept by plugging in 0 as y. So:

x/4+0/12=1

x/4=1

x=4

a=4 (since a is equal to the x-intercept.)

We can find the y intercept by plugging in x as 0:

0/4+y/12=1

y/12=1

y=12

b=12

We can find the slope by using the equation y2-y1/x2-x1, but theres an easier way. Simplifying the original equation x/4+y/12=1 into y=--3x+12 immediatly gets us the slope of -3.

So, 12+4-3=13.

(In case you didn't know how I got y=-3x+12. This is how:

x/4+y/12=1

12(x/4+y/12)=1(12)

3x+y=12

y=-3x+12 )

The tendency of group members to exert less effort when they work in groups than they would exert if they were acting alone is known as social loafing.

Social loafing is a common phenomenon that occurs when individuals feel that their individual effort will not significantly affect the group's overall performance or when they believe that other group members will compensate for their lack of effort.

This phenomenon can be observed in various group settings, such as in work teams, sports teams, and even in classroom group projects. The lack of accountability and the diffusion of responsibility that occur in groups can contribute to social loafing.

Social loafing can have negative consequences on group performance, as it can decrease the overall quality of the group's output and reduce motivation among group members.

To mitigate social loafing, it is important to establish clear roles and responsibilities for each group member and to provide regular feedback and recognition for individual contributions.

Additionally, creating a sense of collective identity and establishing group goals can also help to combat social loafing by promoting a sense of shared responsibility and commitment to the group's success.

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Answer:

\(f(x)=-\dfrac{1}{2}x^2+\dfrac{1}{2}x+15\)

Step-by-step explanation:

The given graph is a parabola with:

Therefore, a suitable function that would match the graph is a quadratic function.

\(\boxed{\begin{minipage}{6 cm}\underline{Intercept form of a quadratic function}\\\\$f(x)=a(x-p)(x-q)$\\\\where:\\ \phantom{ww}$\bullet$ $p$ and $q$ are the $x$-intercepts. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

As the parabola opens downwards, a < 0.

\(\implies f(x)=-a(x-p)(x-q)\)

Substitute the x-intercepts into the formula:

\(\implies f(x)=-a(x-(-5))(x-6)\)

\(\implies f(x)=-a(x+5)(x-6)\)

To find the value of a, substitute the y-intercept into the equation:

\(\implies 15=-a(0+5)(0-6)\)

\(\implies 15=-a(5)(-6)\)

\(\implies 15=-a \cdot -30\)

\(\implies 15=30a\)

\(\implies a=\dfrac{15}{30}=\dfrac{1}{2}\)

Therefore the quadratic function that models the given graph in intercept form is:

\(\implies f(x)=-\dfrac{1}{2}(x+5)(x-6)\)

To write the function in standard form, expand the brackets:

\(\implies f(x)=-\dfrac{1}{2}(x^2-x-30)\)

\(\implies f(x)=-\dfrac{1}{2}x^2+\dfrac{1}{2}x+15\)