50 POINTS!!!

Use CER (Claim, Evidence and Reasoning) to answer the following question. Be sure to answer using
complete sentences and proper grammar.
Here are two equations. One defines function m and the other defines function p.
m (x) = x (x + 6)
p(x) = (x+3)² - 9
Are the expressions defining m and p equivalent?
1. State your claim by answering the question. (1 pt)
2. Provide mathematical evidence supporting your claim. (2 pts)
3. Reason about your claim by comparing the vertex and x-intercepts of BOTH functions. (2 pts)

Answer: \(x=-7\)

Step-by-step explanation:

isolate the x by subtracting anyone, I'm going to subtract 14x from both sides so,

\(6+3x=-15\)

then subtract 6 from both sides to get x by itself so,

\(3x=-21\)       [-15-6 is -21]

then divide both sides by 3 to simplify x so,

\(x=-7\)          [-21/3 is -7]

Answer: I'd say reflection

Answer:

It is a reflection

Step-by-step explanation:

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Answer: 26-5

Step-by-step explanation:

literally you take 5 aways from 26

Answer:

A.

Step-by-step explanation:

He already had 100 into the account so we add that, 25x is derived from the fact that x=the amount of months and 25 is the amount per a month he saves.

Answer:

C. The answer is molecular motion.

Step-by-step explanation:

When a molecule moves it would heat up. Therefore, by moving it would heat up.

Answer:

25 questions.

Step-by-step explanation:

Correct answer = 18

The percent score of the correct answers is 72%.

Let there are x questions in the test. So,

According to the given condition,

\(72\%\ of\ x=18\\\\\dfrac{72}{100}x=18\\\\x=\dfrac{18\times 100}{72}\\\\x=25\)

Hence, there were 25 questions in the geometry test.

Answer:

77

Step-by-step explanation:

We Know

30% of r = 33

Find 1% by taking

33 / 30 = 1.1

What is 70% of R?

We take

1.1 x 70 = 77

So, 70% of R is 77

The question requires to first find the value of R by solving the equation (0.30*R = 33). Then, calculate 70% of R by multiplying the found R value with 0.70.

The question tells us that 30% of R equals 33. To find the value of R, we can set up an equation where 0.30 (which is 30% in decimal form) times R equals 33. Dividing both sides of the equation by 0.30 will give us the value for R. Once we have found R, we can then find 70% of R by multiplying R by 0.70 (70% in decimal form).

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The diagonal bisects KE is divided into two equal sides, KN and NM, then, KN = MN

ACEG is a square because a quadrilaterals has four congruent sides and four right angles, with two sets of parallel sides

To prove the statement, we have to know the different properties of a parallelogram.

We have;

The diagonal bisects KE is divided into;

KN and NM thus KN = MN

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Answer:

it will take about 14.3 years

Answer:

The ratio of the contribution in the order x:y:z is;

6:11:8

Step-by-step explanation:

Herr, we want to know the ratio of the contribution

The title profit is 250,000

What Z got will be;

250,000-60,000-110,000 = 80,000

So the ratio of the contribution following x,y,z will be ;

60,000:110,000:80,000

= 6:11:8

Answer: y = 3, x = 5

Step-by-step explanation:

Solution by substitution method

4x+y=23

3x-y=12

Suppose,

4x+y=23→(1)

and 3x-y=12→(2)

Taking equation (1), we have

4x+y=23

⇒y= -4x+23→(3)

Putting y= -4x+23 in equation (2), we get

3x-y=12

3x-1(-4x+23)=12

⇒3x+4x-23=12

⇒7x-23=12

⇒7x=12+23

⇒7x=35

⇒x=5→(4)

Now, Putting x=5 in equation (3), we get

y=-4x+23

⇒y=-4(5)+23

⇒y=-20+23

⇒y=3

∴y=3 and x=5

Answer:

Step-by-step explanation:

Substitution Method

\(\begin{bmatrix}4x+y=23\\ 3x-y=12\end{bmatrix}\\\\Isolate \:and\: solve\:for\:x :\\4x+y=23 =x=\frac{23-y}{4}\\\\\mathrm{Substitute\:}x=\frac{23-y}{4}\\\\\begin{bmatrix}3\cdot \frac{23-y}{4}-y=12\end{bmatrix}\\\\Simplify\\\\\begin{bmatrix}\frac{69-7y}{4}=12\end{bmatrix}\\\\Isolate \:and\: solve\:for\:y :\\\\\frac{69-7y}{4}=12\\\\y =3\\\\\mathrm{For\:}x=\frac{23-y}{4}\\\\\mathrm{Substitute\:}y=3\\\\x=\frac{23-3}{4}\\\\\frac{23-3}{4} =5\\\\x=5,\:y=3\)

Elimination Method

\(\begin{bmatrix}4x+y=23\\ 3x-y=12\end{bmatrix}\\\\\mathrm{Multiply\:}4x+y=23\mathrm{\:by\:}3\:\\\mathrm{:}\:\quad \:12x+3y=69\\\\\mathrm{Multiply\:}3x-y=12\mathrm{\:by\:}4\:\\\mathrm{:}\:\quad \:12x-4y=48\\\\\begin{bmatrix}12x+3y=69\\ 12x-4y=48\end{bmatrix}\\\\12x-4y=48\\-\\\underline{12x+3y=69}\\-7y=-21\\\\Solve :-7y=-21\\\\\mathrm{Divide\:both\:sides\:by\:}-7\\\frac{-7y}{-7}=\frac{-21}{-7}\\\\Simplify\\y=3\\\\\mathrm{For\:}12x+3y=69,\\\mathrm{\:plug\:in\:}y=3\\\)

\(Solve :12x+3\cdot \:3=69\\\\12x+9=69\\\\12x+9-9=69-9\\\\Simplify\\\\12x=60\\\\\mathrm{Divide\:both\:sides\:by\:}12\\\\\frac{12x}{12}=\frac{60}{12}\\\\Simplify\\\\x=5\\\\\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\\\\x=5,\:y=3\)

Answer:

0.00128

Step-by-step explanation:

1.28 x 10^-1 x 10^-2

1.28 x 0.1 x 0.01

1.28 x 0.1 x 0.01

0.00128

Answer:Andrew  spent 2 2/3 hours studying in all

Step-by-step explanation:

hours spent  studying for his science exam=s 1 1/6 hours

hours spent studying for his history  exam= 1 1/2

Total hours spent studying both subjects =1 1/6 hours+1 1/2 hours

add whole numbers to whole numbers and fraction to fraction

1 1/6 hours+1 1/2 hours

=2 1+3 /6

=2 4/6 =2 2/3 hours

The estimated percentage of small business stock prices that are more than $81.67 is approximately 0.3%.

To estimate the percentage of small business stock prices that are more than $81.67 using the Empirical Rule, we need to determine the z-score for $81.67 and then find the corresponding percentage using the standard normal distribution.

The z-score can be calculated using the formula:

z = (x - μ) / σ

where x is the value we are interested in ($81.67), μ is the mean ($54.82), and σ is the standard deviation ($8.95).

z = ($81.67 - $54.82) / $8.95

≈ 3.00

Now, we can use the Empirical Rule to estimate the percentage.

According to the Empirical Rule:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Since we are interested in prices more than $81.67, which is three standard deviations away from the mean, we can estimate that approximately 0.3% of the data will be beyond this point.

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Answer:

Step-by-step explanation:

25, i think

Answer:

w(u(2)) = -70

Step-by-step explanation:

u(x) = 2x + 2

w(x) = -2\(x^{2}\) + 2

w ( u (2) )

Find u(2), substitute in 2 for x in the function u.

u(2) = 2(2) + 2

= 4 + 2

= 6

w(u(2))

= w(6)

Now subsitute in 6 for x, in the function w.

w(6) = -2\((6)^{2}\) + 2

= -2 * 36 + 2

= -72 + 2

= -70

w(6) = -70

w(u(2)) = -70

Answer:

Explanation:

Given the expression;

simplifying;

we have;

Therefore;

It seems like there are multiple options for commuters traveling between these three cities, including taking a train from Amra to Delta and then transferring to another train to continue on to Gabrin, or taking a bus from Amra to Delta instead.

It sounds like the Ziptrac commuter trains provide transportation between the cities of Amra, Delta, and Gabrin. The trains leave Amra on the half hour starting at 8 am and travel 10 miles to Delta. After a 10 minute stopover in Delta, the trains then travel for 50 minutes to Gabrin.

However, every third train originating from Amra is a one-hour express to Gabrin that does not stop at Delta. This means that two out of every three trains will stop at Delta before continuing on to Gabrin, while one out of every three trains will be an express train that goes straight from Amra to Gabrin without stopping at Delta.

In addition to the trains, commuters can also take a local bus from the Amra station to the Delta station. The local bus leaves promptly every half hour starting at 9:30 am and travels at a speed that is 3/4 as fast as the train. However, the trains travel 10 miles per hour faster than the bus does.

Overall, it seems like there are multiple options for commuters traveling between these three cities, including taking a train from Amra to Delta and then transferring to another train to continue on to Gabrin, or taking a bus from Amra to Delta instead.

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Step-by-step explanation:

cos F = HF/FG

cos 52° = x/(4.3)

0.6 = x/4.3

=> x = 4.3 × 0.6

x = 2.58

so the length of HF = 2.58 = 2.6 ft

I dont really know but I believe its D.

The measure of each angles are 21 and 83degrees

A line is defined as the distance between two points while an angle is the point where two lines intersect.

From the diagram shown, the expression below is true;

<EFH + <HFG = <EFG

Substitute the given parameters to have:

5x+1 + 62 = 18x + 11

Collect the like terms

5x - 18x = 11 - 63

-13x = -52

x = 52/13

x = 4

Find each measure

<EFH = 5(4) + 1

<EFH = 21

degrees

<EFG = 18(4) +11

<EFG = 72 + 11

<EFG  = 83 degrees

Hence the measure of each angles are 21 and 83degrees

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Answer:

521

365 *10 = 3650

365/7 = 521.4

Step-by-step explanation:

Answer:

Options 2, 3, 4, 5 are the solutions.

Step-by-step explanation:

Option 1).

x + 10 = -5

x = -10 - 5

x = -15

Therefore, x = -5 is not the solution.

Option 2).

-x² + 50 = 25

-x² = 25 - 50

-x² = -25

x² = 25

x = ±5

Therefore, x = -5 is a solution

Option (3)

|2x| = 10

2x = ± 10

x = ± 5

Therefore, x = -5 is a solution.

Option (4)

x < 0

Since, -5 < 0

Therefore, x = -5 is a solution.

Option (5)

2x < 10

x < 5

Since, -5 < 5

Therefore, x = -5 is a solution.

Options 2, 3, 4, 5 are the solutions.

Answer:

f(g(2)) = 2

Step-by-step explanation:

g(2)

g is the inverse function of x, which means that \(g(2)\) is the value of x for which \(f(x) = 2\), which is \(x = -3\), and thus, \(g(2) = -3\)

f(g(2))

\(g(2) = -3\)

Thus

\(f(g(2)) = f(-3)\)

Looking at the table, when \(x = -3, f(x) = 2\)

Thus: \(f(g(2)) = 2\)

The sample mean proportion is 0.55.

The question is asking for the sample mean proportion. To find the sample mean proportion, we need to take the average of the lower and upper bounds of the confidence interval.

In this case, the lower bound of the confidence interval is 0.24 and the upper bound is 0.86. To find the sample mean proportion, we add these two values together and divide by 2:

(0.24 + 0.86) / 2 = 1.1 / 2 = 0.55

Therefore, the sample mean proportion is 0.55.

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a) There are 450 3-digit even numbers.

b)There are 225 3-digit numbers with an odd sum of digits.

c)there are 4,500 5-digit even numbers that remain the same when their digits are reversed.

a) To determine the number of 3-digit even numbers, we need to consider the choices for each digit.

For the first digit, we have 9 choices (1 to 9) since the number cannot start with 0.

For the second and third digits, we have 10 choices each (0 to 9) since they can be any digit.

Since the number needs to be even, the last digit must be one of {0, 2, 4, 6, 8}. Therefore, there are 5 choices for the last digit.

To find the total number of 3-digit even numbers, we multiply the number of choices for each digit: 9 * 10 * 5 = 450.

Therefore, there are 450 3-digit even numbers.

b) To determine the number of 3-digit numbers with an odd sum of digits, we can consider the choices for each digit.

For the first digit, we have 9 choices (1 to 9) since the number cannot start with 0.

For the second and third digits, we have 10 choices each (0 to 9) since they can be any digit.

To ensure odd sum of digits, we can have one of the following combinations:- Odd + Odd + Odd = Odd

- Odd + Even + Odd = Odd

- Even + Odd + Odd = Odd

Therefore, the possible combinations for the sum of the second and third digits are: {1, 3, 5, 7, 9}.

For the first digit, there are no restrictions, so we have 9 choices.

For the second and third digits, we have 5 choices each (from the set {1, 3, 5, 7, 9}).

To find the total number of 3-digit numbers with an odd sum of digits, we multiply the number of choices for each digit: 9 * 5 * 5 = 225.

Therefore, there are 225 3-digit numbers with an odd sum of digits.

c) To determine the number of 5-digit even numbers that remain the same when their digits are reversed, we need to consider the choices for each digit.

For the first digit, we have 9 choices (1 to 9) since the number cannot start with 0.

For the second and fourth digits, we have 10 choices each (0 to 9) since they can be any digit.

For the third digit, since it needs to remain the same when reversed, it must be an even digit. Therefore, we have 5 choices (0, 2, 4, 6, 8) for the third digit.

For the fifth digit, it must be the same as the first digit to ensure the number remains the same when reversed. Therefore, there is only 1 choice the fifth digit.

To find the total number of 5-digit even numbers that remain the same when their digits are reversed, we multiply the number of choices for each digit: 9 * 10 * 5 * 10 * 1 = 4,500.

Therefore, there are 4,500 5-digit even numbers that remain the same when their digits are reversed.

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Answer:

9/44

Step-by-step explanation:

12 * 15

55  16

12 * 15 = 180

55 * 16 = 880

180

880

/2

90

440

/2

45

220

/5

9

44

Answer:

is 30 because 3 multiply by 10 is 30