What are the like terms in the expression 3x + 4 -2x + 5y + 4z + 5x

Function transformation involves changing the form of a function.

The parent absolute value function is:

\(f(x) = |x|\)

If the parent function is shifted up by 1 unit, then the equation of the function would be

\(f(x) = |x| + 1\)

If the parent function is shifted left by 1 unit, then the equation of the function would be

\(f(x) = |x + 1|\)

If the above functions are stretched horizontally by a factor of -1/2, then the new functions would be

\(f(x) = -2|x| + 1\)

\(f(x) = -2|x - 1|\)

Read more about function transformation at:

https://brainly.com/question/1548871

Answer:

166cm^2

Step-by-step explanation:

To calculate the area of the composite shape, find the area of rectangle and subtract the area of the triangle from it:

Area of rectangle =  16 x 11 = 176cm^2

Area of triangle = 1/2 x 4 x 5 = 10cm^2.

Since the shape is a rectangle, which the supposed shape of a triangle removed, subtract the area of triangle from that of rectangle:

176-10 = 166cm^2

Hope this helps

Good Luck

Please mark brainiest

Answer:

Graph A

Step-by-step explanation: Math

Answer:

its a

Step-by-step explanation:

I got it right on khan academy

Therefore, the probability that all four trees selected are apple trees is 0.0038, which can be expressed as a decimal rounded to four decimal places.

To find the probability that all four trees selected are apple trees, we need to use the formula for probability:
P(event) = number of favorable outcomes / total number of possible outcomes
In this case, we want to find the probability of selecting four apple trees out of a total of 100 trees. We know that there are 62 apple trees out of 100, so we can use this information to calculate the probability.
First, we need to calculate the number of favorable outcomes, which is the number of ways we can select four apple trees out of 62:
62C4 = (62! / 4!(62-4)!)

= 62 x 61 x 60 x 59 / (4 x 3 x 2 x 1)

= 14,776,920
Next, we need to calculate the total number of possible outcomes, which is the number of ways we can select any four trees out of 100:
100C4 = (100! / 4!(100-4)!)

= 100 x 99 x 98 x 97 / (4 x 3 x 2 x 1)

= 3,921,225
Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
P(event) = 14,776,920 / 3,921,225 = 0.0038
To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

The probability of his then drawing a blue marble from his right pocket is

0.456 or 45.6 %  by using conditional probability theorem.

conditional probability, the probability that an event occurs given the knowledge that another event has occurred.

from the given information : considering for notations, let BL, BR, and WL denote drawing a blue marble from the left pocket, a blue marble from the right pocket, and a white marble from the left pocket, respectively. By the Law of Total Probability,

P(BR) = P(BL ∩ BR)+ P(WL ∩ BR)

= P(BL)P(BR|BL)+ P(WL)P(BR|WL)

= ( 5/9)(5/10) + (4/9)(4/10) = (41/90)

= 0.456

Learn more about the conditional probability here :

https://brainly.com/question/11899923

#SPJ4

Step-by-step explanation:

I hope this helps.......

Answer:

Yes

Step-by-step explanation:

The given length of sides are \(5\) feet, \(6\) feet, and \(9\) feet.

For these sides to form a triangular truss, the sum of any two sides must be greater than the third side.

Here, \(5+6=11\) which is greater than \(9\), the third side.

Similarly, \(6+9=15\) which is greater than \(5\), and \(5+9= 14\) which is greater than \(6\).

So, this satisfies the conditions to the three sides to form a triangle.

Hence, yes, the triangular truss can be made by the given three sides.

Step-by-step explanation:

Hank's two cows produced a total of 43 + 22 = 65 gallons of milk.

Debra's two cows produced a total of 40 + 35 = 75 gallons of milk.

Therefore, Debra's cows produced 75 - 65 = 10 more gallons of milk than Hank's cows on that day.

Our assumption that two consecutive elements of the Fibonacci sequence can be divisible by 13 is false, and the proposition is proved.

We begin with the fact that the Fibonacci sequence is an increasing sequence; that is, each element is greater than the one before it.

The sequence is defined as follows:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, and so on.

Now, let us prove the proposition by contradiction. Assume that there are two consecutive elements of the Fibonacci sequence that are divisible by 13. Then there must be some integer n such that:

F(n) = 13m, andF(n + 1) = 13p,

where m and p are integers.

Since the Fibonacci sequence is defined recursively by F(n) = F(n-1) + F(n-2), we can obtain an expression for F(n-2) in terms of F(n) and F(n-1):

F(n-2) = F(n) - F(n-1)Since F(n) and F(n-1) are both divisible by 13, their difference must also be divisible by 13.

Therefore, F(n-2) is divisible by 13 as well. However, this contradicts the well-ordering principle, which states that every non-empty set of positive integers has a least element.

Since the Fibonacci sequence is an increasing sequence, there must be some least element k such that F(k) is divisible by 13 but F(k-1) is not. But this means that F(k-2) cannot be divisible by 13, which contradicts our assumption that both F(n) and F(n-1) are divisible by 13.

for such more question on Fibonacci sequence

https://brainly.com/question/29764204

#SPJ11

Answer:

B is correct. You got it. =D

Answer:

B) part is the correct answer

HL stands for hypotenuse-Leg

HA stands for angle-angle

LL stands for side-side

LA stands for angle-side.

HL Congruence Property: This property states that if the hypotenuse  and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the two triangles are congruent.

HA Congruence Property: This property states that if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the two triangles are congruent.

LL Congruence Property: This property states that if the corresponding sides of two triangles are congruent, then the two triangles are congruent.

LA Congruence Property: This property states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Learn more about congruence property here: https://brainly.com/question/30091300

#SPJ1

The HL Congruence Property, HA Congruence Property, LL Congruence Property, and LA Congruence Property are properties used to prove that two triangles are congruent. Congruent triangles have the same size and shape.

1. HL Congruence Property:
The HL Congruence Property states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent. "HL" stands for "Hypotenuse-Leg." This property is based on the fact that if the hypotenuse and one leg of a right triangle are equal to the corresponding parts of another right triangle, then all three corresponding sides of the triangles will be equal, and the triangles will have the same shape.

For example, if we have two right triangles, triangle ABC and triangle DEF, and we know that AB is congruent to DE (one leg), and AC is congruent to DF (hypotenuse), then we can conclude that triangle ABC is congruent to triangle DEF.

2. HA Congruence Property:
The HA Congruence Property states that if two angles and the side between them of one triangle are congruent to two angles and the side between them of another triangle, then the two triangles are congruent. "HA" stands for "Angle-Side-Angle." This property is based on the fact that if two angles and the side between them are equal in two triangles, then the remaining angles and sides will also be equal, and the triangles will have the same shape.

For example, if we have two triangles, triangle ABC and triangle DEF, and we know that angle A is congruent to angle D, angle B is congruent to angle E, and side AB is congruent to side DE, then we can conclude that triangle ABC is congruent to triangle DEF.

3. LL Congruence Property:
The LL Congruence Property states that if two pairs of corresponding sides of two triangles are congruent, then the triangles are congruent. "LL" stands for "Leg-Leg." This property is based on the fact that if two pairs of corresponding sides of two triangles are equal, then the remaining side and angles will also be equal, and the triangles will have the same shape.

For example, if we have two triangles, triangle ABC and triangle DEF, and we know that AB is congruent to DE and BC is congruent to EF, then we can conclude that triangle ABC is congruent to triangle DEF.

4. LA Congruence Property:
The LA Congruence Property states that if two pairs of corresponding angles of two triangles are congruent, and the included sides are congruent, then the triangles are congruent. "LA" stands for "Leg-Angle." This property is based on the fact that if two pairs of corresponding angles and the included side of two triangles are equal, then the remaining side and angles will also be equal, and the triangles will have the same shape.

For example, if we have two triangles, triangle ABC and triangle DEF, and we know that angle A is congruent to angle D, angle B is congruent to angle E, and side AB is congruent to side DE, then we can conclude that triangle ABC is congruent to triangle DEF.

These properties provide a way to prove that two triangles are congruent by comparing their corresponding sides and angles. By identifying congruent parts, we can establish the congruence of the entire triangle. Remember to apply the appropriate property based on the given information to determine the congruence of triangles.

To know more about Congruence Property refer here:

https://brainly.com/question/31992651#

#SPJ11

The quadratic functions can be identified as being in general form, factored form, vertex form, or none of these forms.

To identify the form of a quadratic function, we need to examine its equation.

1. General Form: The general form of a quadratic function is written as \(ax^2 + bx + c\), where a, b, and c are constants. If the given equation is in this form, we can identify it as being in general form.

2. Factored Form: The factored form of a quadratic function is expressed as a product of binomial factors. It can be written as a(x - p)(x - q), where a, p, and q are constants. If the given equation can be factored in this way, we can identify it as being in factored form.

3. Vertex Form: The vertex form of a quadratic function is written as a\((x - h)^2 + k\), where a, h, and k are constants representing the vertex coordinates (h, k). If the given equation can be rearranged to match this form, we can identify it as being in vertex form.

If the equation does not match any of these forms, it can be concluded that the quadratic function is in none of these forms. It may be written in a different form or require further manipulation to determine its specific representation.

By examining the structure and arrangement of the terms in the equation, we can easily identify the form of a quadratic function.

Learn more about quadratic functions

brainly.com/question/18958913

#SPJ11

The distributed simplified product is \(2x\sqrt{10x}-2x\sqrt{5}\). So, option 4 is correct.

The distributive property is given by

a(b + c) = ab + ac or (a + b)c = ac + bc.

This property is used for simplifying large expressions into small ones.

The reverse order we can write as

ab + ac = a(b + c) or ac + bc = (a + b)c.

The given expression is \(\sqrt{5x}(\sqrt{8x^2}-2\sqrt{x})\)

On applying distributive property: a(b + c) = ab + ac

\(\sqrt{5x}(\sqrt{8x^2}-2\sqrt{x})\) = \(\sqrt{5x}(\sqrt{8x^2}) - \sqrt{5x}(2\sqrt{x})\)

Applying multiplication of surds,

(multiplication of surds: \(\sqrt{a}\times\sqrt{b}=\sqrt{ab}\))

⇒ \(x(\sqrt{5x\times8})-2(\sqrt{5x\times x})\)

⇒ \(x\sqrt{40x}-2\sqrt{5x^2}\)

⇒ \(2x\sqrt{10x}-2x\sqrt{5}\)

Therefore, the simplified product for \(\sqrt{5x}(\sqrt{8x^2}-2\sqrt{x})\) is \(2x\sqrt{10x}-2x\sqrt{5}\).

Thus, option 4 is correct.

Learn more about the distributive property here:

https://brainly.com/question/2807928

#SPJ9

The option which is least likely to be a warning sign that one's debt is at a critical point is having several credit cards.

The most likely warning sign for credit cards is not paying or clearing the debt of the credit card in full each month.

The options given in the problem are,

In these options, least likely to be a warning sign is having several credit cards as having multiple cards and well management of them required the carefulness and awareness.

Thus, the option which is least likely to be a warning sign that one's debt is at a critical point is having several credit cards.

Learn more about the credit card here;

https://brainly.com/question/25447015

To find the maximum height of the ball, we need to determine the vertex of the quadratic equation. The vertex of a quadratic equation in the form h(t) = at^2 + bt + c is given by the formula t = -b / (2a).

In this case, a = -4.9, b = 6, and c = 0.6.

Substituting these values into the formula, we have:

t = -6 / (2 * (-4.9))

t = -6 / (-9.8)

t = 0.612

The maximum height occurs at t = 0.612 seconds.

To find the maximum height, substitute this value back into the equation:

h(0.612) = -4.9(0.612)^2 + 6(0.612) + 0.6

h(0.612) ≈ 1.856 meters

The maximum height of the ball is approximately 1.856 meters.

If the maximum height of the ball needs to be more than 2.4 meters, we would have to change the value of the constant term in the equation (the "c" value) to a value greater than 2.4.\(\)

use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Answer:

-3/10

Step-by-step explanation:

4-5(6+4x)=-16

4-30-20x=-16

-26-20x=-16

-20x=-16+26

-20x=6

x=6/-20

x=-3/10

Answer:

x = -2

Step-by-step explanation:

4 - 5 x 2x = -16

4 - 10x = -16

10x = -20

x = -2

Hope that helps!

Answer:

c d e

Step-by-step explanation:

Also im not a pro at this but im pretty sure its correct

Answer:

7-(a-2)

Step-by-step explanation:

The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

for such more question on minutes

https://brainly.com/question/25279049

#SPJ8

Answer:

A

Step-by-step explanation:

By Pythagorean theorem, 35 Cm tall is the porch .

What is the Pythagorean theorem in plain English?

The Pythagorean Theorem states that the squares on the hypotenuse of a right triangle, which is the side that faces the right angle, are equal when added together.

             This is written as a2 + b2 = c2 in the usual algebraic notation.A right-angled triangle's sides can be found using Pythagoras' Theorem. The third side of a right triangle can be found if we are aware of the first two sides.

AC= √(AB² -BC²)

= √(91² - 84²)

=  √8281  - 7056

 = √1225

  = 35

Learn more about Pythagorean theorem

brainly.com/question/14930619

#SPJ1

Answer:

x = - 7 and y = 30

Step-by-step explanation:

2x - y = -9

subtract 2x from either side

-y = -9 - 2x

divide either side by -1

y = 9 + 2x

Plug in 9 + 2x for y

9 + 2x = -5 - 5x

Add 5 to either side and subtract 2x from either side

14 = -2x

divide either side by -2

-7 = x

plug in -7 for x in one of the equations

y = -5 - ( 5 x -7 )

y = -5 - ( - 35)

y = -5 + 35

y = 30

plug in x and y

30 = -5 - ( 5 x -7)

30 = -5 - (-35)

30 = -5 + 35

30 = 30

Answer:

B.    −19

Step-by-step explanation:

Multiply both sides of the equation by  y , and then isolate the variable.

y−1y

=

10

y−1

=

10y

−1

=

9y

−19

=

y

Divide both sides by  9

Answer:

32

Step-by-step explanation:

I mutiplied 2 to the 5th power and it equals 32

Answer:

110 ft  

Step-by-step explanation:

The length of fencing is four times the perimeter of one garden.

The formula for the perimeter of a rectangle is  

P = 2l + 2w

The total perimeter for all four rectangles is

P = 4× (2l + 2w) = 8l + 8w

Data:

 l = 9¼ ft

w = 4½ ft

Calculation:

P = 8l + 8w = 8×9¼ + 8×4½ = 72⁸/₄ + 32⁸/₂ =(72 + 2) + (32 + 4) = 74 + 36 = 110 ft

The total length of fencing is 110 ft.

Answer:

D. {3, 7}

Step-by-step explanation:

AnB means both A and B have common elements which are 3 and 7

Answer: f^-1 (x) = x - 1 / 2

Step-by-step explanation: Replace 2x for 2y, solve x = 2y + 1, and you should get the answer I got.

We have 2 2/3 is a multiplication equations and a division equation that can be used

How many 3/4s are in 2? Write a multiplication equation and a division equation that can be used to answer the question.

a) Multiplication equation

= 2 × 4/3

= 8/3

= 2 2/3

b) Division Equation

= 2 ÷ 3/4

= 2 × 4/3

= 8/3

= 2 2/3

learn more about of equation here

https://brainly.com/question/20114279

#SPJ4