Which of the graphs below correctly solves for x in the equation x ^ 2 - 4x + 3 = x + 3 ?

the slope of the tangent line to f(x) = x³ at any point (x, f(x)) is 3x².

The derivative of f(x) = x³ can be found using the power rule of differentiation. According to the power rule, the derivative of xⁿ is \(nx^(n-1).\)

Applying the power rule to f(x) = x³, we get:

f'(x) = \(3x^(3-1)\)

f'(x) = 3x²

Now, to find the slope of the tangent line at a specific point (x, f(x)), we substitute the x-coordinate of the point into the derivative function f'(x).

So, the slope of the tangent line to f(x) = x³ at the point (x, f(x)) is given by:

slope = f'(x) = 3x²

Therefore, the slope of the tangent line to f(x) = x³ at any point (x, f(x)) is 3x².

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Answer:

5.98°

Step-by-step explanation:

Given

with reference angle 50.1°

perpendicular (p) = x

base (b) = 5

Now

tan 50.1° = p / b

1.195 = x / 5

x = 1.195 * 5

x = 5.98

Hope it will help :)

Based on the fractional value, the amount of the shells that Terrence sorted is A. twelve twenty-fourths.

A fractional value is a value that represents a portion or part of the total value.

Fractional values can be depicted as proper, improper, or complex fractions.  They can also be depicted as decimals or percentages.

The remaining quantity of the shell pile = ³/₄

The quantity sorted by Terrence = ⁴/₆

The fractional value sorted by Terrence = (⁴/₆ x ³/₄) = ¹²/₂₄ = 0.5 or 50%

Thus, we can conclude that Terrence sorted 50% or ¹²/₂₄ of the shell pile.

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The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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Answer:

B one solution

Step-by-step explanation:

Answer:

B - one solution

Step-by-step explanation:

6x+8−2x(7−2)=2(6+1)

Subtract 2 from 7 to get 5.

6x+8−2x×5=2(6+1)

Multiply 2 and 5 to get 10.

6x+8−10x=2(6+1)

Combine 6x and −10x to get −4x.

−4x+8=2(6+1)

Add 6 and 1 to get 7.

−4x+8=2×7

Multiply 2 and 7 to get 14.

−4x+8=14

Subtract 8 from both sides.

−4x=14−8

Subtract 8 from 14 to get 6.

−4x=6

Divide both sides by −4.

x=−46

Reduce the fraction −46 to lowest terms by extracting and canceling out 2.

x=−23

hope it helps :)

From the graph,

\(y = \frac{1}{2}x + 2\)

But this one is inequality so you gotta remember this:

When y > x/2+2

- The shade/region is above the graph itself.

When y < x/2+2

- The shade/region is below the graph.

Therefore, the inequality as shown in the picture is

\(y > \frac{1}{2} x + 2\)

Answer:

Third sequence (7, 2, 1, -4, -10)

In the first sequence, -4 has to be in front of -10 because it is larger.

In the second sequence, 7 goes in the beginning, with 2 then 1 following, with -4 behind and -10 behind -4.

In the third option, 7 must be in the front, with 2, 1, then -4, then -10 following.

The answer = third sequence.

Hope it helped!

Answer:

7, 2, 1, -4, -10

Step-by-step explanation:

-10 is the least number because in negative numbers are basically the opposite of positive number (if that makes sense). I don't really know what else to explain, but I hope this helps!!!

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3 plus 3 equals 6. If you have 3 cookies and you add three more, now you 6 cookies.

Bon Appetit

Answer:

i know im amazing

Step-by-step explanation:

Answer:

Awwwww thank you!!! Your worth more than the stars above. THANKS FOR THE POINTS!!!!

Step-by-step explanation:

P.S. I love your pfp!!!!

The three congruence postulates are ASA, SAS, and SSS Theorems.

Two triangles are congruent if their corresponding sides are equal in length and their corresponding interior angles are equal in measure.

1) ASA Theorem (Angle-Side-Angle)

The Angle Side Angle Postulate (ASA) says triangles are congruent if any two angles and their included side are equal in the triangles. An included side is the side between two angles.

2) SAS Theorem (Side-Angle-Side)

By applying the Side Angle Side Postulate (SAS), you can also be sure your two triangles are congruent. Here, instead of picking two angles, we pick a side and its corresponding side on two triangles.

The SAS Postulate says triangles are congruent if any pair of corresponding sides and their included angle are congruent.

3) SSS Theorem (Side-Side-Side)

Side Side Side Postulate (SSS) says triangles are congruent if three sides of one triangle are congruent to the corresponding sides of the other triangle.

Thus, the three congruence postulates are ASA, SAS, and SSS Theorems.

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Answer:

C

Step-by-step explanation:

You divide first than you get ur fraction

Answer:

20 percent

Step-by-step explanation:

Because there are 160 total people, you would divide 32 by 160 which gives you 0.2 multiply 0.2 by 100 then you get 20 percent

32/160 = 0.2

0.2*100 = 20

Answer:

53.3%

Step-by-step explanation:

(32/63)×100

=53.3%

Answer:

No solution

Step-by-step explanation:

There is one variable. so it can't be two solutions. To the rest, we need to solve the equation.

5-2x=3+x-4-3x

5=3-4

5=-1

Impossible!!!

so no solution.

Hope this helps plz mark brainliest :D

The given problem has been proved below using the rules of Congruence.

The given problem can be solved easily if we apply the basic rules of Congruence on the question properly as they are required. Congruence is when two given figures have the same shape and size.

Given that,

3AB=7AD

3AC=7AE

So, by re-arranging them we get the same ratio that is,

AB/AD=7/3

AC/AE=7/3

Hence, we can conclude that,

AB/AD=AC/AE

Also, we can show that ∠BAC and ∠DAE by the property of vertical angles.

But ∠BAC ≌ ∠DAE is also true by the vertical angle theorem in this diagram.

So, SAS property ∆ABC~∆ADE is proved in the end.

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Answer:

23.75

Step-by-step explanation:

83÷4=23.75

if you're doing unit rate put 23.75 over 1

Answer:

$7.5/hour

Step-by-step explanation:

Sonya is paid time and half for hours worked in excess of 40 hours

She has a gross weekly wages of $345 for 44 hours

Let y represent sonya's hourly rate

Since she is paid one and half then it can be represented as 1.5y

Sonya is suppose to work for a period of 40 hours, this means that she has 4 overtime hours

Therefore Sonya regular hourly rate can be calculated as follows

40y + 4(1.5y) = 345

40y + 6y = 345

46y= 345

y = 345/46

y= 7.5

Hence Sonya's regular hourly rate is $7.5/hour

Answer: A

Step-by-step explanation:

(3x ^ 2 + 4x - 7) (2x + 9)

2x (3x ^ 2 + 4x - 7) + 9 (3x ^ 2 + 4x - 7)

6x ^ 3 + 8x ^ 2 - 14x + 27x ^ 2 + 36x - 63

6x ^ 3 + 35x ^ 2 + 22x - 63

Answer:

y= 5x+3

Step-by-step explanation:

first, we want to have it in a correct linear equation format (solve intercept formula): y=mx+b

so we just switch the equation around:

*minus y from both sides of the equation*

5x-y= -3

*minus 5x from each side*

-y= -5x-3

*multiply the whole equation by -1 to make the equation positive* (remember negative times a negative equals positive)

Final equation: y= 5x+3

Answer:

18 and 6

Step-by-step explanation:

Rn = 6   Ratio numerator

Rd = 2 Ratio Denominator

Rs = Rn + Rd

Rs = 6 + 2

Rs = 8

Ratio Sum

a = 24 Amount to Divide

M = a ÷ Rs

M = 24 ÷ 8

M = 3 Multiplier Ratio Division Calculation

Rr = Rn × M : Rd × M

Rr = 6 × 3 : 2 × 3

Rr = 18 : 6

Let's simplify each expression shown in the exercise:

Option a

Given:

You can apply the Product of powers property. This states the following:

Where "b" is the base and "n" and "m" are exponents.

Then, you get:

By definition:

Therefore:

The expression given in Option a is equal to 1.

Option b

Knowing that any number or expression with exponent zero is equal to 1, you get that:

The expression given in Option b is equal to 1.

Option c

Given:

You can notice that the numerator and the denominator are equal, then:

The expression given in Option c is equal to 1.

Option d

Given:

You can simplify it using the Quotient of powers property, which states that:

Then, you get:

The expression given in Option d is not equal to 1.

The answer is: Option d.

The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

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There are 144 possible sequences of chip colors.

We can solve this problem by counting the number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7.

Let's consider all the possible sequences of chips that can be drawn from the bag. The first chip can be any of the 6 chips in the bag. For each chip color, there are different scenarios that can happen after drawing the first chip:

Therefore, the total number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7 is: 2 x 32 + 1 x 32 + 3 x 16 = 144

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The price elasticity of demand measured using midpoint method, for a price change between $10 and $2 can be determined as follows:Price elasticity of demand (mid-point method) = [ΔQ / {(Q1 + Q2)/2}] ÷ [ΔP / {(P1 + P2)/2}]Given that P1 = $10, P2 = $2, Q1 = Q2, and the price has decreased from $10 to $2.

Therefore, the midpoint price (P) = (P1 + P2) / 2 = ($10 + $2) / 2 = $6The midpoint quantity (Q) = (Q1 + Q2) / 2 = Q1 / 2 + Q2 / 2 = Q / 2 + Q / 2 = Q.ΔP = $2 − $10 = −$8ΔQ = Q − Q = 0Hence, the absolute value of the price elasticity of demand using the midpoint method for a change in price from $10 to $2 is :Price elasticity of demand (mid-point method) = [ΔQ / {(Q1 + Q2)/2}] ÷ [ΔP / {(P1 + P2)/2}]E = [0 / {Q / 2}] ÷ [−8 / $6]E = 0 ÷ −1.3333E = 0

So, the correct answer is option B: 1.

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The probability of 5 people of different ages are sitting in age order is 1/12.

Let the youngest individual take a seat first. If the seats are not designated, this person may occupy any of the five available seats, and each one is equally valuable.

The next senior citizen must then be placed. For this reason, there are two possible placements for the second person: either to the left of the first person or to the first person's right. The two options, ascending order and descending order, are matched by this.

We are unable to place the additional individuals after the second person is set because there is only one spot available adjacent to the first person.

There are only two methods to arrange five persons of different ages sitting at a round table in ascending or descending order.

The number of ways in which we can arrange are 5 people at a round table without any restriction is  4!.

Probability of 5 people in  around table is 2/4! = 1/12.

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Answer:

x= 7

Step-by-step explanation:

Answer:-1

Step-by-step explanation:

10x+1=3(4x+2)-3

10x+1=12x+6-3

10x+1=12x+3

1=2x+3

-2=2x

1=x

Answer:

13 = x

Step-by-step explanation:

\(\frac{6}{8}\) = \(\frac{(x + 2)}{(x + 7)}\)

6x + 42 = 8x + 16

42 = 2x + 16

\(\frac{26}{2}\) = \(\frac{2x}{2}\)

13 = x

Answer:

Step-by-step explanation:

To find g(4), we substitute x = 4 into the expression for g(x):

g(4) = -3(4) - 4 = -12 - 4 = -16

To find g(4) + 8, we add 8 to the value we just found for g(4):

g(4) + 8 = -16 + 8 = -8

Therefore, g(4) + 8 = -8.