Write a rule to describe each transformation. (What is the reflection?ex. Reflect with reaparece to x-axis, reflect across y=2, etc.)

Answer:

x = 5

Step-by-step explanation:

Given

2(x + 7) - 3(2x + 4) = - 18 ← distribute both parenthesis

2x + 14 - 6x - 12 = - 18, that is

- 4x + 2 = - 18 ( subtract 2 from both sides )

- 4x = - 20 ( divide both sides by - 4 )

x = 5

The original equation 2(x+7) - 3(2x+4) = -18 simplifies to -4x = -20, which leads to the solution x = 5. This is confirmed by substituting x back into the original equation, resulting in an identity (-18 = -18).

The equation to solve is 2(x+7) - 3(2x+4) = -18. To solve for x, we first expand the equation:

2x + 14 - 6x - 12 = -18

Combining like terms, we get:

-4x + 2 = -18

Subtracting 2 from both sides gives us:

-4x = -20

Dividing both sides by -4, we find that x = 5.

To verify the solution, plug x back into the original equation:

2(5+7) - 3(2*5+4) = -18

Which simplifies to:

24 - 30 = -18

This confirms that the solution x = 5 is correct as it results in an identity after substitution.

Answer:

The answer is D, the random sample does not represent all people who are likely to watch the chef's cooking show.

Step-by-step explanation:

This is because not all people who enjoy cooking know about or visit the chef's blog.

Answer:ok guys so the answer is D

Step-by-step explanation: Not all people who enjoy cooking know about or visit the chefs blog

Answer:

It's the 5+(-3)

Step-by-step explanation:

Answer:

The probability for Heads will be 60% or 3/5.

The probability for Tails will be 40% or 2/5.

Step-by-step explanation:

The coin flipped 5 times and landed on Heads 3 times. This shows that out of 5 situations, 3 situations were Heads. Therefore, the  probability is 3/5.

The coin landed on Tails 2/5 times the coin was flipped, which is basically the probability.

The probability of getting 3 heads and 2 tails in 5 flips of a coin, in any order, is 0.3125 or 31.25%. This is calculated by figuring out the number of ways to get 3 heads and 2 tails out of 5 flips (10 ways) and dividing that by the total possible outcomes in 5 flips (32 outcomes).

The question is asking about the probability of getting three heads and two tails in 5 flips of a fair coin. The order given in the question (H, H, H, T, T) doesn't matter in this case because the flips are independent events.

We calculate the probability by figuring out the number of ways we could get 3 heads and 2 tails out of 5 flips and divide that by the total number of outcomes in 5 flips of a coin. There are 10 ways to get 3 heads and 2 tails out of 5 flips, and there are 32 total possible outcomes in 5 flips of a coin (because 2^5 = 32, as each flip has 2 possibilities, heads or tails).

So, P(H, H, H, T, T) = 10 / 32 = 0.3125 or 31.25%

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Answer:

$339.00 for a week

Step-by-step explanation:

Step 1:  Convert words into an expression

The Wertz car rental company charges $45 to rent a Mustang convertible, plus $42 per day.

f(d) = 45 + 42d

Step 2:  Find the cost for a week/7 days

f(7) = 45 + 42(7)

f(7) = 45 + 294

f(7) = 339

Answer:  $339.00 for a week

Answer:

AC = 4 in.

Step-by-step explanation:

Since m∠A = 90° and m∠B = 45°, you know that m∠C = 45° ( because you can tell it's an isosceles right triangle ).

This means that legs AB and AC both have to be congruent.

If leg AB is 4 in, then leg AC is 4 in.

Answer:

3(3x+2)

Step-by-step explanation:

Answer:

3(3x+2)

Step-by-step explanation:

take out LCF of 3

Answer:

Randall picks up 68 pounds

Seth picks up 40 pounds

Joanna picks up 52 pounds

Step-by-step explanation:

Let us make an equation in x to find it

∵ Randall's bag weighs  3x - 7 pounds

∵ Joanna's bag weighs  2x + 2 pounds

∵ Seth's bag weighs 2x - 10 pounds

∵ Randall's and Joanna's bags weigh 3 times as much as  Seth's bag

- That means add Randall's bag and Joanna's bag and equate

    the sum by 3 times Seth's bag

∵ Randall's bag + Joanna's bag = 3(Seth's bag)

∴ (3x - 7) + (2x + 2) = 3(2x - 10)

- Simplify the two sides

∴ (3x + 2x) + (-7 + 2) = 3(2x) - 3(10)

∴ 5x + (-5) = 6x - 30

∴ 5x - 5 = 6x - 30

- Add 5 to both sides

∴ 5x = 6x - 25

- Subtract 6x from both sides

∴ -x = -25

- Divide both sides by -1

∴ x = 25

Substitute x by 25 in the weight of each bag

∵ Randall's bag weighs = 3(25) - 7 = 75 - 7

∴ Randall's bag weighs = 68 pounds

∵ Seth's bag weighs = 2(25) - 10 = 50 - 10

∴ Seth's bag weighs = 40 pounds

∵ Joanna's bag weighs  = 2(25) + 2 = 50 + 2

∴ Joanna's bag weighs  = 52 pounds

Answer: What is the

Step-by-step explanation:

Answer:

(¾ * -3) -2.5

equals (-9/4) -2.5

equals -4.75

Step-by-step explanation:

where are the answer choices?

Answer: Vehicle's color

Step-by-step explanation: took the quiz.

Answer:

Step-by-step explanation:

[tex]5^5-5^4+5^3 \: \: \:by \:\:\:\:7\\common factor\\\\\frac{5^5-5^4+5^3}{7}\\\\\frac{5^3(5^2-5+1)}{7}\\\\\frac{5^3(5^2-4)}{7}\\\\\frac{5^3(25-4)}{7}\\\\\frac{5^3(21)}{7}\\ \\Simplify\\\\5^3(3)\\[/tex]

Answer:

25

Step-by-step explanation:

First: 125+72-150 is 47

Chairs: 125-47 is 78 chairs

Umbrellas: 72-47 is 25 umbrellas

Hence, there is 25 people rented umbrellas

Hope this helps!!!

Have a nice day:)

By applying the principle of inclusion-exclusion, we determined that the number of people who rent umbrellas is 97, after accounting for the overlap of customers who rent both chairs and umbrellas.

To solve this combinatorial problem, we can employ the principle of inclusion-exclusion. The principle is a way to count the number of elements of each collection, subtracting the overlaps (in this case, people who rent both chairs and umbrellas), and adding the elements that are in neither category if necessary.

Let's define the following terms:

According to the question:

C = 125 (chairs)

B = 72 (both chairs and umbrellas)

The total number of customers, T, is given by:

T = C + U - B

Since the total number of customers is 150, we have:

150 = 125 + U - 72

To find U (the number of people renting umbrellas), we just need to solve for U:

U = 150 - 125 + 72

U = 25 + 72

U = 97

Therefore, the number of people who rent umbrellas is 97.

Answer:

[tex](x-2)(x+2)\left(x+3\right)^2[/tex]  is the required factor form.

Step-by-step explanation:

When the factor of the expression is required to be found, then take the common terms, or find the factor by splitting the terms, or by using the standard formulas.

So here we have to find the factor of the expression:

[tex](x^2-4)(x^2+6x+9)\\[/tex]

so we will first find the factors of:

[tex](x^2-4)=(x-2)(x+2)~~~~~~~~~~~~~~~~~\because x^2-y^2=\left(x+y\right)\left(x-y\right)\\[/tex]

Now the factors of:

[tex](x^2+6x+9)=\left(x+3\right)^2~~~~~~~~~\because \left(a+b\right)^2=a^2+2ab+b^2[/tex]

So the final factor is given as:

[tex](x^2-4)(x^2+6x+9)\\=(x-2)(x+2)\left(x+3\right)^2[/tex]

Answer:

16.64 units

Step-by-step explanation:

Use Pythagorean Theorem:

a^2+b^2=c^2

14^2+9^2=x^2

196+81=x^2

277=x^2

16.64=x

So the length is about 16.64 units

Answer:

13.76ft²

Step-by-step explanation:

Side of square: d=8ft

Area of board: Sb=d×d=64ft²

Area of circle: Sc=pi×r²=pi×(d/2)²=pi×d²/4=pi×64/4= 16×pi=50.24ft²

Remainin area: Sb-Sc=64-50.24=13.76ft²

Answer:

Area of remaining board is 13.728 feet²

Step-by-step explanation:

Given; Square side length = 8 feet

Therefore, the diameter of the cut out circle = 8 feet, then Radius = 4 feet

The approximate area, in square feet, of the remaining board will be the are of the square minus the ares of the cut out circle.

Area of the square =  S²

                                = (8 feet)²

                                = 64 feet²

Area of the cut circle = π(4 feet)²

                                   = 3.142 x 16 feet²

                                   = 50.272 feet²

Area of remaining board = Area of the square - Area of the cut circle

Area of remaining board = 64 feet² - 50.272 feet²

Area of remaining board = 13.728 feet²

Answer:

y = -52

Step-by-step explanation:

Step 1:  Convert to Standard Form

y + 4 = -6(2 + 6)

y + 4 = -12 - 36

y + 4 - 4 = -48 - 4

y = -52

Answer: y = -52

Answer:

The answer is A

Step-by-step explanation:

Given that the equation of line is y = mx + c and the slope is 7 :

y = 7x + c

By substituting the coordinate(8,6) into the equation, in order to find the value of c:

6 = 7(8) + c

6 = 56 + c

c = 6 - 56

= -50

y = 7x - 50

(Hope this can help)

Answer:

20/5=number in each group. It can also be S/5

Step-by-step explanation:

Answer:

I think its A

Step-by-step explanation:

sorry if im wrong but hope this helps :)

Answer:

The emperical probability of being a plant with white flower is

[tex]\dfrac{639}{919}\approx 0.695[/tex]

The emperical probability of being a plant with purple flower is

[tex]\dfrac{280}{919}\approx 0.305[/tex]

Step-by-step explanation:

There are

The empirical probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.

The emperical probability of being a plant with white flower is

[tex]\dfrac{639}{919}\approx 0.695[/tex]

The emperical probability of being a plant with purple flower is

[tex]\dfrac{280}{919}\approx 0.305[/tex]

Answer:2 3/10

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Multiply each term by -10

The matrix in Option B is the value of the given expression.

'In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.'

According to the given problem,

Given matrix = [tex]\left[\begin{array}{ccc}23&-38\\17&-6\\\end{array}\right] \left[/tex]

On multiplying -10 with this,

Matrix = [tex]\left[\begin{array}{ccc}(23*(-10))&(-38*(-10))\\(17*(-10))&(-6*(-10))\\\end{array}\right][/tex]

          = [tex]\left[\begin{array}{ccc}-230&380\\-170&60\\\end{array}\right][/tex]

Hence, we can conclude the matrix  [tex]\left[\begin{array}{ccc}-230&380\\-170&60\\\end{array}\right][/tex]  after multiplying -10 to    [tex]\left[\begin{array}{ccc}23&-38\\17&-6\\\end{array}\right] \left[/tex].

Learn more about matrices here:

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Answer:

-1

Step-by-step explanation:

I hope this helps!

Answer: 16 and 40.  24 60

Step-by-step explanation:

Answer:

x =7

Step-by-step explanation:

16:28=4:x

16*x=28*4

x=28*4/16

x=112/16

x=7

Answer:

7

Step-by-step explanation:

16/4=4 28/4=7

Answer:

A) 4*4x-4*3 and 16x-12

B) 12y+15y and 27y

Step-by-step explanation:

For A when you do the distributive property, you get:

4(4x-3)

4*4x-4*3 (which is one of the choices)

16x-12 (which is one of the choices)

For B when you combine like terms, you get:

12y+5y+10y

12y+15y (which is one of the choices)

27y (which is one of the choices)