How to solve and find derivative of y at 1

The correct property is used to prove the two expressions are equivalent is;

''Commutative property''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Lara writes the expression 1.5x + 2.75y + 3.

And, Maria writes the expression 3 + 1.5x + 2.75y.

Now,

Since, The commutative property states that;

a + b = b + a

So, Clearly, Here the commutative property used to prove the two expressions are equivalent, as;

⇒ 1.5x + 2.75y + 3 = 3 + 1.5x + 2.75y.

Thu, The correct property is used to prove the two expressions are equivalent is;

''Commutative property''

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If the store's cost for the incentives was $103.The amount of  each incentive that were given away is: Free Rental  5, Box of popcorn 54.

Let Free Rental = r

Let Box of popcorn  = p

Total incentives:

r+p=59

r= 59-p Equation 1

r×1+p×2=103

r+2p=103 Equation 2

Put the value of r in (eq 2) from (eq 1)

r+2p=103  (eq 2)

59-p+2p=103

59+p=103

p=103-59

p=44

Put the value of p in (eq 1)

r=49-p...........(1)

r=49-44

r= 5

Free Rental = 5

Box of popcorn = 59 -5

Box of popcorn = 54

Therefore 5 and 54 incentive were given.

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Step-by-step explanation:

convert equation to y = mx+c:

3x-2y= - 6

3x+6=2y

y=3/2x+6/2

y=3/2x+3

gradient/slope=3/2

y intercept = 3

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Answer:

Step-by-step explanation:

y = mx + b , where "m" is a slope and "b" is a y-intercept

~~~~~~~~~~~~~~

3x - 2y = - 6

3x - 3x - 2y = - 3x - 6

- 2y = - 3x - 6

[tex]\frac{-2}{-2}[/tex] y = [tex]\frac{-3}{-2}[/tex] x + [tex]\frac{-6}{-2}[/tex]

y = [tex]\frac{3}{2}[/tex] x + 3

Slope: [tex]\frac{3}{2}[/tex]

y-intercept: 3

The value of 2[tex]\sqrt{12xy^{2} }[/tex] is 4y[tex]\sqrt{3x}[/tex].

According to the question,

We have the following expression:

[tex]2\sqrt{12xy^{2} }[/tex]

Now, we know that the square root of [tex]y^{2}[/tex] is y.

And the square root of 12 is [tex]2\sqrt{3}[/tex].

(More to know: we have the perfect square root of numbers. For example, the perfect square root of 36 is 6 and the perfect square root of 100 is 10. In the same way, there are perfect cube roots of numbers. For example, the perfect square root of 27 is 3.)

So, by putting the values of these terms in the square root, we have the following expression:

2*y*2[tex]\sqrt{3x}[/tex]

4y[tex]\sqrt{3x}[/tex]

Hence, the value of the given expression after solution is 4y[tex]\sqrt{3x}[/tex].

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A quadrilateral that has 2 separate pairs of equal length sides but is NOT a parallelogram is called a KITE.

What is a quadrilateral?

A quadrilateral is any polygon that has four sides and four vertices. They include;

Properties

What is a kite?

A quadrilateral is a polygon with four sides, commonly known as a kite. Four points on the plane must be "independent" in order for the kite to have four corners. As a result, none of the three are parallel to one another.

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The annual interest rate is 1.2%

The principal amount = $425

The total interest her earned = $10.20

The final amount = 425 + 10.20

= $435.2

Time period = 2 years

The simple interest

A = P(1 + rt)

Where A is the final amount

P is principal amount

r is the interest rate

t is the time period

Substitute the values in the equation

435.2 = 425(1 + r×2)

1 + 2r = 435.2 / 425

Divide the terms

1 + 2r = 1.024

2r = 1.024 - 1

2r = 0.024

r = 0.024/2

Divide the terms

r = 0.012

Then the percentage will be

r = 1.2%

Hence, the annual interest rate is 1.2%

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The required solution will be -30 which is expressed as an integer.

To represent this in a general context, we may utilize functions that are referred to in terms of the number tossed.

We know that if the number he gets is an even number, he will get 5 times the number.

As a result, the function for when the integer x is even is f(x) = 5x.

If the number is an odd number, he will lose 10 times the number.

As a result, the function for when the integer x is odd is f(x)=-10x.

Finally, Joe tosses a 3, which is an odd integer, hence the function we will represent is f(x) = - 10x.

⇒ f(3) = -10(3) = -30

Thus, the required solution will be -30 which is expressed as an integer.

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x = 1

Step-by-step explanation:

[tex]{ \orange{ \tt{ - 4(x + 1) + 6x}}}[/tex]

Multiply -4 with (x+1) then the Eqⁿ becomes

[tex]{ \orange{ \tt{ - 4x - 4 + 6x}}}[/tex]

Step (1):- [tex]{ \red{ \sf{combine \: like \: terms}}}[/tex]

You can see the like terms i.e. -4x and 6x. Now, add this like terms.

[tex]{ \orange{ \tt{ - 4x + 6x - 4}}}[/tex]

[tex]{ = \orange{ \tt {2x - 4}}}[/tex]

Step (2):- [tex]{ \red{ \sf{ common \: factor}}}[/tex]

Take 2 as common in 2x-4 then,

[tex]{ \orange{ \tt{2(x - 2)}}}[/tex]

[tex]{ \orange{ \tt{2x - 2 = 0}}}[/tex]

[tex]{ \orange{ \tt{2x = 2}}}[/tex]

[tex]{ \blue{ \boxed{ \purple{ \sf{x = 1}}}}}[/tex]

Answer:

C. -10

Step-by-step explanation:

Using the average rate of change formula,

[tex]\frac{-37-(-17)}{6-4}=-10[/tex]

Answer: slope = 0

Step-by-step explanation:

The equation of straight line can be expressed in the form y = mx + b, which is referred to as slope intercept form.

In this equation, m represents the slope of the line, y is the y-coordinate of an arbitrary point along the line and x is the x-coordinate of the same point, and b is the location where the line intercepts the y-axis of the graph.

if y = 16, then the slope of the line, m, must be 0.

y = mx + b

y = (0)x + b

y = b

In other words, the line described by the equation y = 16 is a horizontal line that passes through the y-axis at the point (0,16).

Answer:

Step-by-step explanation:

decrease by 10

Answer:

Step-by-step explanation:

increased by thirty tickets

The value of the expression will be;

⇒ 4

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 2 - [(2 + 10(−1) ÷ 2) + 1]

Now,

Solve the expression by using BODMAS rule as;

The expression is,

⇒ 2 - [(2 + 10(−1) ÷ 2) + 1]

⇒ 2 - [ (2 - 10 ÷ 2) + 1 ]

⇒ 2 - [(2 - 5) + 1 ]

⇒ 2 - [ - 3 + 1 ]

⇒ 2 - { - 2 ]

⇒ 2 + 2

⇒ 4

Thus, The value of the expression will be;

⇒ 4

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Answer: D

Step-by-step explanation: The part of the lawn that receive the new lawn food may also get more shade than other parts of the lawn. And the shade might also cause fewer weeds

Answer: 3 hours 36 minutes

Step-by-step explanation:

You can find out that the cold pipe fills up the pool by 1/4 every hour from the question. if you turn on the cold pipe for 3 hours, the pool would be filled 3/4 before you turn on the hot water. you also can find out that the hot pipe fills up the pool 1/6 every hour. so the next hour will continue to fill up the pool 5/12 until you turn off the water. you only need to fill up the pool 1/4 more so it will take a total of 3 hours and 36 minutes to fill up.

Answer:

(4.5 , 6)

Step-by-step explanation:

Finding the midpoints of segment when endpoints are given:

      To find the midpoints, add the x-coordinates and divide by 2 and add the y-coordinates and divide by 2.

(8 , 2) ⇒  x₁ = 8 ; y₁ = 2

 (1 , 10) ⇒ x₂ = 1 ; y₂ = 10

[tex]\sf Mipoint\left(\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2}\right)[/tex]

           [tex]\sf = \left(\dfrac{8+1}{2},\dfrac{2+10}{2}\right)\\\\\\=\left(\dfrac{9}{2},\dfrac{12}{2}\right)\\\\\\=(4.5,6)[/tex]

The measure of angle KJL from the given figure is 84°.

Given that, 3(m∠LJM)=2(m∠KJL) and m∠KJM=140°.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Here, m∠KJM=m∠LJM+m∠KJL

Now, (m∠LJM)=2/3 (m∠KJL)

140°= 2/3 (m∠KJL) + m∠KJL

⇒ [2(m∠KJL)+3(m∠KJL)]/3 = 140°

⇒ 5m∠KJL=420°

⇒ m∠KJL=420°/5

⇒ m∠KJL=84°

Hence, the measure of angle KJL from the given figure is 84°.

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The equivalent expression to 17g-2g will be (17-2)g.

According to the question,

We have the following expression:

17g-2g

Now, we can simplify this expression easily to find the equivalent expression.

So, our first step will be to take g as a common factor from both the terms. Now, we have the following expression:

(Note that the common factor means that the variable or the number taken as a common factor should be able to divide the terms given in the expression.)

(17-2)g

Now, this can be solved further because 2 can be subtracted from 17 because they both are integers without any variable.

Hence, the correct option is C.

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1. The first figure posses the SSS property.

2. The second figure posses the ASA property.

3. The third figure posses the hypotenuse length property.

4. The fourth figure posses the SAS property.

Given:

1. The first figure shows the SSS property.

Side-Side-Side criterion is referred to as the SSS criterion. According to this standard, two triangles are congruent if their respective triangles' three sides are equal to one another.

hence the two triangles are congruent.

2. The second figure posses the ASA property.

Angle-Side-Angle criterion is also known as ASA criterion. According to the ASA criterion, two triangles are congruent if any two of their included sides and related angles are equivalent in size to those of the other triangle.

hence the two triangles are congruent.

3. The third figure posses the hypotenuse length properety.

RHS criterion stands for right angle-hypotenuse-side congruence criterion. Under this criterion, two triangles are congruent, if the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle.

hence the two triangles are congruent.

4. The fourth figure posses the SAS property.

Side-Angle-Side criterion is referred to as the SAS criterion. According to this standard, two triangles are said to be congruent if their matching sides and included angles are the same on each side of each other.

hence the two triangles are congruent.

Hence we get the required answer.

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Answer:

A. 20 + 6L < 60

Step-by-step explanation:

It can't be B. or D. because 20L, not a thing in this problem. That leaves us with A. and C. being our only reasonable answers.

I chose A. because Jenny can't spend more than 60

The equation for profit in slope-intercept form is written as y = 26x - 584

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation is given as y = mx + c

In this problem, the constant or fixed value is the amount he spent on the equipment and the slope is the amount he charges per hour.

The equation of profit can be represented as y = 26x - 584

Where x = number of hours he worked.

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The value of x at which the tangent line approximation will result in an overestimate is given by:

Point of tangency near x = 0.

The possible results for the tangent line approximation are given as follows:

The underestimate or underestimate depend on the second derivative of the function, as follows:

Hence, regarding the concavity, we have that the definitions are listed as follows:

On the graph given by the image at the end of the answer, the concave down point is given as follows:

x = 0.

Hence the correct option is:

Point of tangency near x = 0.

The graph is given by the image at the end of the answer.

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The reflection of the point (8,0) across the x-axis is (8, 0)

From the question, the point is given as:

Point = (8, 0)

Rewrite this point as

(x, y) = (8, 0)

The transformation is given as

Reflection across the x-axis

Mathematically, we have

(x, y) = (x, -y)

So,we have

Image = (8, 0)

Hence, the image of the reflection is (8, 0)

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Answer:

Step-by-step explanation:

Tips: All of the figures are prisms so always add prism to end.

2. Rectangular prism. Since it is a rectangle with the 3d dimensions added to it.

3. Hexagonal Prism. Since it is a hexagon with 3d dimensions added to it.

6. Triangular prism. Since it is a triangle with 3d dimensions added to it.

8. Also Triangular prism. Look above.

9. Rectangular prism. Since it is a rectangle with the 3d dimensions added to it.

10. Another Rectangular prism.Since it is a rectangle with the 3d dimensions added to it.

Ps. All the answers you created are correct!

Answer:

Line W's equation is y= 1/2x - 8

Step-by-step explanation:

Answer:

128 square feet

Step-by-step explanation:

2(4)^2 + 4 * 4 * 6 =

= 2 * 16 + 16 * 6 =

= 32 + 96 =

= 128 square feet

Answer:

3n+9

Step-by-step explanation:

For any triangle created by points u, v, and any point on the line r t other than s, it will be an isosceles triangle.

Isosceles triangle, in geometry, refers to a triangle that has at least two equal length sides. The isosceles triangle sometimes is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length. The triangle which has at least two sides of equal length includes the equilateral triangle as a special case. An isosceles triangle has two sides that are congruent to each other and the third side which is unequal to the other two sides is called the base of the isosceles triangle. The two angles opposite to the equal sides are congruent to each other. Hence, in the given situation, any triangle created by  u, v, and any point on the line r t other than s, will be an isosceles triangle as the sides UR and UV will always be equal.

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Please give brainly if correct :)

Answer: -1/32

Step-by-step explanation:

Use the slope formula: y2-y1/x2-x1

Apply that:

9-8/-17-15 = 1/-32 = -1/32

Answer:

Step-by-step explanation:

The visitor might be exactly 54 inches or above 54 inches.