select the correct choice below and feeling any answer boxes within your choice

-5a+8a=-20+10.4

-3a=-10.4a

The slope of the line that contains the given points R(-2,1) and, S(10,6) is 5/12 .

It is given in the question that the line contains the points R(-2,1) and S(10,6).

We know that:-

The formula to find the slope of a line that contains points (a,b) and (c,d) is given by:-

m = (d-b)/(c-a)

Here, we have

m = slope of the line

(a,b) = (-2,1)

(c,d) = (10,6)

Hence, putting the values of (a,b) and (c,d) , we get

Slope of the line that contains the given points R(-2,1) and, S(10,6) is given by:-

(6-1)/(10-(-2)) = 5/12=

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(-4x2-3x+6) + (6x2 - 2x + 1) = 2x2-5x + 7, the opposite of 2x2 + x-7 is -2x2 - X+ 7 and (-4x2+2x-1) - (-2x2 + 3x+6) = -2x-x - 7

1. (-4x2-3x+6) + (6x2 - 2x + 1)

= -4x2+ 6x2- 3x- 2x + 1+ 6

= 2x2- 5x + 7

Thus, adding gives us 2x2- 5x + 7 and thus (-4x2-3x+6) + (6x2 - 2x + 1) will be matched with the 5th equation.

2. opposite of: 2x2 + x-7

The opposite of 2x2 + x-7 can be found if we just reverse the signs of each of the term. This means that + becomes - and - becomes -

Thus the opposite is: -2x2 - X+ 7

Thus, it will be matched with the second option.

3. (-4x2+2x-1) - (-2x2 + 3x+6)

= -4x2+2x-1 + 2x2 - 3x - 6

= -4x2+ 2x2 +2x - 3x - 6-1 = -2x-x - 7

Thus, this equation will be matched with the 1st option.

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The answer should be $2.16.

Explanation:

1.5 pounds is 24 ounces

24 divided by 4 = 6

So, 0.36 x 6 = $2.16

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Hope this helps!

Have a great day and God bless! :)

Answer:

C. The classmate was supposed to multiply the exponents.

Step-by-step explanation:

[tex] { ({2}^{3}) }^{2} = {2}^{6} = 64[/tex]

Answer:

C

Step-by-step explanation:

your classmate multiplied the exponenets

Answer:

26.5

Step-by-step explanation:

Planteamiento:

a - 1 = 3b

a + b = 35

Desarrollo:

de la primer ecuación del planteamiento:

a = 3b + 1

sustituyendo este último valor en la segunda ecuación del planteamiento:

(3b+1) + b = 35

4b = 35 - 1

4b = 34

b = 34/4

b = 8.5

de la segunda ecuación del planteamiento:

a + 8.5 = 35

a = 35 - 8.5

a = 26.5

Comprobación:

de la primer ecuación del planteamiento:

a - 1 = 3b

26.5 - 1 = 3*8.5

25.5 = 25.5

Respuesta:

ya que:

26.5>8.5

El número mayor es:

26.5

Luna already had,

→ consumed 900 cal

→ burned 500 cal

She wants to keep her daily calorie,

→ 1,500 cal/day

Calories she have left to consume,

→ 1500 - (900 - 500)

→ 1500 - 400

→ 1100 cal

Therefore, 1,200 cal will cause her to exceed 1,500 cal/day.

The inequality  [tex]5.5+37.93d\leq300[/tex] should be used to calculate the number of days.

What is an inequality?

The relationship between two non-equal expressions, denoted by a symbol such as 'not equal to, 'greater than' or 'less than' is known as inequality.

She drives 50 miles and per mile it costs $0.11.

So, for 50 miles, cost = 50 x $0.11 = $5.5

and per day cost = $37.93

Thus, the inequality that must be used to calculate number of days is

  [tex]5.5+37.93d\leq300[/tex]

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There will be total 6 pathways to directly connect to every other building

It is given that,

There are four buildings on the Mansfield High School Campus with a condition that none of the three can stand in straight line.

We need to find,

The total number of ways through which all the four buildings can be directly connected with each other in such a way that none can stand in straight line

Firstly, Let us consider that the buildings are arranged on the corner points of an imaginary square.

Then the number of ways through which all four buildings can be directly connected is by going straight from one building to other by following the imaginary square boundary lines = 4

the number of ways through which all four buildings can be directly connected is by going diagonally from one building to other by following the diagonal of the imaginary square = 2

Hence, The total number of pathways to directly connect to every other building = 4 +2 = 6

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Answer:

She bought 8.625 wings

Step-by-step explanation:

We can use a ratio to solve

3               x

-------   = ----------

8.80        25.30

Using cross products

3 * 25.30 = 8.80x

75.9 = 8.80x

Divide each side by 8.8

75.9/8.8 = 8.8x/8.8

8.625 = x

She bought 8.625 wings

The image seen in the compact mirror is not of the same size as seen in the plane mirror. This compact mirror is concave on one side and convex on the other side.

The size of the image as compared to the object is related to the magnification. The size of an object’s image is larger (or smaller) than the object itself by its magnification,  The level of magnification is proportional to the ratio of  and  An image that appears to be double the size of the actual object would have magnification

The radius of curvature of a mirror is twice its focal length.

All distances measured to the right of the origin (along the positive x-axis) are taken as positive while those measured to the left of the origin (along the negative x-axis) are taken as negative.

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a) Each side of the square is 9 cm long. b) The perimeter of the shape is 18 cm.

Perimeter refers to the total length of the boundary or outer edge of a two-dimensional shape.

a) The perimeter of a square is the sum of the lengths of all its sides. Since all sides of a square are equal, we can divide the perimeter by the number of sides to find the length of one side:

Perimeter of square = 4 x Length of one side

36 cm = 4 x Length of one side

Divide both sides by 4:

Length of one side = 36 cm / 4 = 9 cm

Therefore, each side of the square is 9 cm long.

b) To find the perimeter of the shape made by cutting an equilateral triangle from a rectangle, we need to add up the lengths of all its sides.

The length of the rectangle is equal to the length of the base of the equilateral triangle plus the length of one of its sides. Since the equilateral triangle has all sides equal, we can find its length by dividing the length of the rectangle by 2:

Length of equilateral triangle = Length of rectangle / 2

Length of equilateral triangle = 7.2 cm / 2 = 3.6 cm

The perimeter of the equilateral triangle is three times its side length:

Perimeter of equilateral triangle = 3 x Length of one side

Perimeter of equilateral triangle = 3 x 3.6 cm = 10.8 cm

The perimeter of the shape is the sum of the length of all its sides, which is the sum of the length of the rectangle and the perimeter of the equilateral triangle:

Perimeter of shape = Length of rectangle + Perimeter of equilateral triangle

Perimeter of shape = 7.2 cm + 10.8 cm = 18 cm

Therefore, the perimeter of the shape is 18 cm.

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a) If a square has a perimeter of 36 cm, how long is each side of the square?

b) The following shape is made by cutting an equilateral triangle from a rectangle. Find its perimeter.

7.2 cm

13 cm

18 cm

23 cm

The car comes to a complete stop when t = 14secs.

What is velocity  ?

Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. Put another way, speed is a scalar value, while velocity is a vector.

Given:

velocity v(t) = 0.5t^2 – 14t + 80

Differentiating the equation with respect to t to get the velocity,

we get ,

dv/dt = 2 x .05t - 14

when the car stops the velocity becomes 0.

Therefore,

2 x .05t - 14= 0

=> t = 14 secs

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Question:

A car's velocity is modeled by v(t) = 0.5t2 – 14t + 80 for 0 ≤ t ≤ 14, where the velocity is in feet per second and time is in seconds. When does the car come to a complete stop?

20 seconds

14 seconds

8 seconds

4 seconds

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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Answer:

2 6 9 7 4 7 66 46 66 74 89 84 653 88

Answer:

inverse

In math, a reciprocal is also called an inverse.

Step-by-step explanation:

Answer:

A correlative is another name for a reciprocal.

Correlative:

A degree into which 2 or more values are associated.

Answer:[tex]x= \frac{f (x) - 5}{4}[/tex]

Step-by-step explanation:

f(x) = 4x+5

- 5 for both

f(x) - 5  = 4x+5 -5

4x = f (x) - 5

divided 4 for both

(4x)/4 = (f (x) - 5) / 4

[tex]x= \frac{f (x) - 5}{4}[/tex]

The simplification of each sum or difference of given expression [tex]\frac{m}{3m+6}- \frac{4m}{m+2}[/tex] is equal to (-11m)/ 3(m+2). Restriction on the variables is given by m ≠ -2.

As given in the question,

Given expression is [tex]\frac{m}{3m+6}- \frac{4m}{m+2}[/tex]

Simplify the expression by taking the least common multiple

[tex]\frac{m}{3m+6}- \frac{4m}{m+2}\\\\= \frac{m}{3(m+2)}- \frac{4m}{m+2}\\\\= \frac{m -12m}{3(m+2)}\\ \\= \frac{-11m}{3(m+2)}[/tex]

Restriction on the variables is given by m ≠ -2.

Therefore, the simplification of each sum or difference of given expression [tex]\frac{m}{3m+6}- \frac{4m}{m+2}[/tex] is equal to (-11m)/ 3(m+2). Restriction on the variables is given by m ≠ -2.

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======================================================

Work Shown:

5a^2

5(2)^2

5(4)

20

Explanation:

I replaced 'a' with 2, since a = 2. Then use PEMDAS to simplify the expression into one single number at the end. The value b = 6 won't be used at all since b is not found anywhere in the original expression.

Answer:

5a² = 20

Step-by-step explanation:

Given expression,

→ 5a²

Now we have to,

→ Evaluate the given expression.

We have to use,

→ a = 2

→ b = 6

Let's evaluate the expression,

→ 5a²

→ 5 × (a)²

→ 5 × (2)²

→ 5 × 4

→ 20 => {solution}

Therefore, the answer is 20.

Answer:

(-9,4)

Step-by-step explanation:

(-4-5,2+2)

The graph when translated 5 units up is g(x) = 3x + 5.

Consider a parent function f(x),

When translating a function up or down by a value (say b), you let g(x) = f(x) + b

If b is positive your graph is translated up, if b is negative your graph is translated down.

When translating a function to the right or left by a value (say a) you let g(x) = f( x + a).

If a is positive your graph is translated to the left, if a is negative your graph is translated to the right.

Therefore, the function g(x) when the graph of the function f(c) = 3x is translated 5 units upwards will be:

g(x) = f(x) + 5

g(x) = 3x + 5

The function g(x) when the graph of f(x) is translated 5 units up is g(x) = 3x + 5.

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When the graph of f(x) is translated five units up, the function g(x) becomes g(x) = 3x + 5.

Given function is , f(x) = 3x

We can get,

f(1) = 3(1) =3

f(2) = 3(2) = 6

f(3) = 3(3) = 9

f(0) = 3(0) = 0

f(-1) = 3(-1) = -3

f(-2) = 3(-2) = -6

x             1           2            3           0            -1             -2

f(x)          3          6            9           0            -3             -6

Let us assume, new function is g(x)

Think about the parent function f. (x),

If you want to scale a function up or down by a certain amount, let g(x) = f(x) + b.

Your graph is translated upward if b is positive and downward if b is negative.

Let g(x) Equal f(x + a) when moving a function to the right or left by a certain amount (let's say a).

Your graph will be translated to the left if an is positive and to the right if an is negative.

As a result, when the graph of the function f(c) = 3x is translated 5 units upward, the function g(x) will be as follows:

g(x) = f(x) + 5     (because 5 units up)

We can substitute f(x) value,

g(x) = 3x + 5

Therefore,

The function g(x) when the graph of f(x) is translated 5 units up is g(x) = 3x + 5.

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The percent increase from 200 to 460 is 130% increase

The numbers are given as

200 and 460.

460 is greater than 200

So, the percentage is an increment

The percentage increment is then calculated as

Percentage = (Final value - Initial value)/Initial value * 100%

Substitute the known values in the above equation

Percentage = (460 - 200)/200 * 100%

Evaluate the difference

So, we have

Percentage = 260/200 * 100%

Evaluate the quotient

So, we have

Percentage = 1.3 * 100%

Evaluate the product

So, we have

Percentage = 130%

Hence, the percent increase from 200 to 460 is 130% increase

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Answer: B

Step-by-step explanation:

The recursive formula for sequence 1,4,9,16, . . .  is a(n) = 2 a(n-1) - a(n-2) + 2

The recursive formula of a sequence is a formula that relates the nth term of the sequence with the preceding term(s), (n-1)th, (n-2)th, and so on.

The given sequence is: 1,4,9,16, . . .

So, we must ask ourselves:

How can we get 4 from 1?

How  can we get 9 from 4 and 1?

and so on.

Notice that:

4 = 1 + 3

9 = 4 + 5

16 = 9 + 7

Notice that the differences (3, 5, 7) increase by 2.

Therefore, we can write:

4 = 1 + 3

  = 1 + (1 - 0) + 2

9 = 4 + (4 - 1) + 2       (9 is a(3), and 4 is a(2))

a(3) = a(2) + a(2) - a(1) + 2

       = 2 a(2) - a(1) + 2

16 = 9 + (9 - 4) + 2

a(4) = a(3) + a(3) -a(2) + 2

a(4) = 2 a(3) - a(2) + 2

Continue this process, we get:

a(n) = 2 a(n-1) - a(n-2) + 2

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The value of the expression given as negative one sixth times the quantity 3 minus 15 times the quantity one third squared is 2/9

The expression is given as:

negative one sixth times the quantity 3 minus 15 times the quantity one third squared

Rewrite the above expression properly as

-1/6(3 - 15) * (1/3)^2

Evaluate the square in the above expression

-1/6(3 - 15) * 1/9

Evaluate the difference in the above expression

-1/6 * - 12 * 1/9

Evaluate the product in the above expression

2/9

Hence, the value of the expression given as negative one sixth times the quantity 3 minus 15 times the quantity one third squared is 2/9

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Answer:

The value of the expression given as negative one sixth times the quantity 3 minus 15 times the quantity one third squared is 2/9

The cost of the pizzas that Christina bought will be $4.30.

From the information, The cost of a large pizza is $0.90 and the cost of a small pizza is $0.70. Christina bought 4 large pizzas and 1 small pizza.

The number of pizzas will be:

= 4 + 1

= 5 pizzas

The cost will be:

= 4($0.90) + 1($0.70)

= $3.60 + $0.70

= $4.30

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The cost of a large pizza is $0.90 and the cost of a small pizza is $0.70. Christina bought 4 large pizzas and 1 small pizza. How much pizza did Christina buy how much did she pay?

Answer:

if the experiment continued under the same conditions.

Answer: if the experiment continued under the same conditions.

Step-by-step explanation:E2022

For each line,  an equation in slope-intercept form :

y = (-1/4)x - 2 .

Summary of the lesson. The slope-intercept form is just a means of stating a line's equation so that the slope (steepness), as well as y-intercept (where the line crosses the vertical y-axis), as well as y-intercept (where the line crosses the vertical y-axis), are obvious. This form is also known as the y = MX + b form.

The slope, m, of a line represents its steepness. The slope of something like the line is however termed a gradient, sometimes. A line's y-intercept, b, represents the y-coordinate of something like the point where the line's graph intersects the y-axis.

To begin, use the slope formula to determine the average slope here between two points.

m = (y2-y1)/(x2-x1)

= (-1 - (-4))/ (-4-8)

= 3/(-12)

= -1/4

So the slope is -1/4.

We must now determine the y-intercept. This will be accomplished by converting a single of the points and indeed the slope through into point-slope form of something like a linear equation, which is y2-y1 = m(x2-x1).

Let’s plug in the point (8,-4).

So we get y-(-4) = (-1/4)(x-8) ⇒  y+4

= (-1/4)x + 2  ⇒  y

= (-1/4)x - 2.  

So y = (-1/4)x - 2  

For each line, write an equation in slope-intercept form y = (-1/4)x - 2.

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