pls help me with this ​

The option that is extraneous solution of

√-3x-2=x+2 is A. -6.

From the information given, taking square both sides

-3x - 2 = (x + 3)²

On applying identity   = a² + b² + 2ab

Then ,

-3x -2 =  x² + 2² + 2 * 2 *x

-3x -2 =  x² + 4 + 4x.

On adding both sides by 3x

-2 =  x² + 4 + 4x + 3x

-2 =  x² + 4 + 7x

On adding both sides by 2

0 =  x² + 4 + 7x + 2

On switching sides

x² +7x + 6 = 0

On Factoring

x² +6x + x + 6 = 0

x ( x+ 6 ) +1 (x +6 ) = 0

On grouping

( x +1) ( x +6) = 0

x = -1, -6.

An extraneous solution is a root of a transformed equation that is not a root of the original equation. Therefore, -6 is the extraneous solution.

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Complete question

Which of the following is an extraneous solution of sqrt(-3x-2)=x+2 a.-6 b.-1 c.1 d.6

Answer:

9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Step-by-step explanation:

An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.

The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:

5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9

So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

The entire area is under the standard normal distribution curve, which is 1 by definition.

In other words, a typical normal random variable has a 100% chance of landing anywhere within its range of potential values (-∞ to +∞).

This makes sense since the area under the standard normal distribution curve, which is a continuous probability distribution, shows the likelihood that the random variable will take on any value within its range. Since the entire area under the curve is 1, the likelihood that any potential value for the random variable will occur is 1, or 100%.

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The absolute difference is estimated as $2.9 million and relative difference is calculated as 26%.

The absolute change refers to the actual increase or decrease from the a reference value to a new value:

absolute difference = new value - reference value

In the given question, the reference value is given as $10.8 million.

The new value is $13.7 million.

absolute difference = 13.7 - 10.8

absolute difference = 2.9

Thus, the absolute value if estimated as $2.9 million.

The absolute difference is described as a fraction of a reference value by the relative difference:

The formula for calculating the relative difference is;

relative difference = (new value - reference value)/reference value

relative difference = absolute difference/reference value

Substituting the values;

relative difference = 2.9/10.8

relative difference = 0.26

relative difference% = 0.26×100%

relative difference = 26%.

Thus the relative difference is estimated as 26%.

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Answer:

The new volume will be 3 3/8 or maybe 27/8 of its original volume.

Step-by-step explanation:

Cone Volume = PI * radius^2 * height / 3

So if radius = 1 and height = 1 then volume = 1.0472

When radius = 3 and height = .375 then volume = 3.5343

Volume increases by 3.5343 / 1.0472 = 3 and 3/8

Answer:

3(\(\frac{1}{3}\)x+8)=11

Step-by-step explanation:

It says 3 times the sum of one third of a number and 8, so we group that expression into the parentheses. Since there is a key word is, we need to put an equal sign.

Answer:

7/4

Step-by-step explanation:

multiply 5 and 3/4

5= 5/1  so 5/1 * 3/4 will give you 15/4 then you subtract 2 from 15/4

which gives us 7/4

Answer:

B - $41,500

Step-by-step explanation:

After Subtracting his liabilities this is what I got.

Hope this Helps!

:D

The graph of f(x) is the second one, so the correct option is B.

Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.

You can see that the first domain of the function is:

x ≤ -4

So we must have a closed circle at x = -4, when the parabola ends.

The second domain is:

-4 < x < 1

So x here is not equal to -4 nor 1, so this part starts and ends with open circles.

finally, the linear part starts with a closed circle.

Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.

Then we can see that the correct option is the second graph.

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Answer: the present age of son is 15 years, and the present age of father is 45 years.

Step-by-step explanation:

Let the age of son be 'x' and that of his father be 'y'.

So according to the question, the 1st equation that can be formed will be:

y = 3(x) ->(1)

[as father's age is 3 times the age of son]

Now after 5 years:

Age of son = (x+5)

Age of father = (y+5)

So according to the question, the 2nd equation that can be formed will be:

(y+5) = 2.5×(x+5) ->(2)

[as father is now two and half times old as his son]

Substituting the value of equation (1) in (2), we get:

(3x+5) = 2.5×(x+5)

=> 3x + 5 = 2.5x + 12.5

=> 3x - 2.5x = 12.5 - 5

=> 0.5x = 7.5

=> x = 7.5/0.5 = 15

Thus, the present age of son is 15 years.

Note : we can calculate the age of father by putting the value of x in equation (1) or (2):

y = 3(x) = 3 × 15 = 45 (putting x in equation 1)

Thus, the present age of father is 45 years.

Hence, a z-score of -0.52 indicates that 70% of a distribution's area is to its right. As a result, the distribution's 70% of data values are more over -0.52 standard deviations from the mean.

How is a percentage calculated?

By dividing the value by the entire value and multiplying the result by 100, the percentage may be calculated. The percentage is calculated using the following formula: (value/total value)100%.

We need to use the conventional normal distribution table or even a calculator with just a normal distribution function to determine the z-score which corresponds to 70% of a distribution's area lying towards its right.

1 - 0.70 = 0.30 is the area to a left of the z-score. The z-score for this region is what we're looking for.

In a typical normal distribution table, the z-score which corresponds to an area of 0.30 is:

z = -0.52 (rounded to two decimal places)

So, the z-score for which 70% of the distribution's area lies to its right is -0.52. This means that 70% of the data values in the distribution are greater than -0.52 standard deviations from the mean.

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Explain find the z score for which 70% of the distributions area lies to its right

The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.

Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)

So, the image of B,

B' = (-(-4), -5)

B' = (4, -5)

Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

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X= 130°

Step-by-step explanation:

From E, draw EF || AB || CD.

Now, EF || CD and CE is the transversal.

So; <DCE + <CEF = 180° [co. int. <s]

x° + <CEF = 180°

<CEF = (180° – x°).

Again, EF || AB and AE is the transversal.

So; <BAE + <AEF = 180° 01 [co. int. <s ]

105° + <AEC+ <CEF = 180°

105° +25° + (180° – x°) = 180°

x° = 130°

I hope I helped you^_^

the probability is:

so the answer is 2/5

Answer: 25

Step-by-step explanation: just replace the variables with the numbers and multiply and then add!

Answer:The result can be shown in multiple forms.

Point Form:

(-1,-1)

Equation Form:

x= - 1,y = -1

Step-by-step explanation:

just do it

Using chain rule, the derivative of f(x) = 4√(8x³ + 2x⁴) is

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

To find the derivative of the function f(x) = 4√(8x³ + 2x⁴), we can use the chain rule.

Let's break down the function into its components:

u(x) = 8x³ + 2x⁴ (inside function)

v(u) = 4√u (outer function)

To find the derivative, we apply the chain rule, which states:

(f(g(x)))' = f'(g(x)) * g'(x)

In this case, f(g(x)) = v(u(x)), and g(x) = u(x).

First, let's find the derivative of the inner function u(x):

u'(x) = 24x² + 8x³ (using the power rule for differentiation)

Next, let's find the derivative of the outer function v(u):

v'(u) = 4 * (1/2) * 1/√u = 1/√2u = 2/√u

Now, we can apply the chain rule:

f'(x) = v'(u(x)) * u'(x)

f'(x) = (2/√u) * (24x² + 8x³)

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

The derivative of the function is  (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

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Answer:

10 root 2

Step-by-step explanation:

root 200 = root 2 × root 100 = 10 root 2

Answer:

ok

Step-by-step explanation:

i have a question i have no warnings or anything but im getting negative points why is that happening?

Answer:

A = 201 cm²

Step-by-step explanation:

We know that the area of a circle can be calculated with the formula:

A = πr² = π(d/2)²

with d being the diameter.

Therefore:

A = 3.14(8cm)² = 201 cm²

Answer/Step-by-step explanation:

Ok so x,y. is the first thing you need to know A. 1, -5 = X, -Y.

the number from the x grid goes before the y see the arrows seperating the squares the vertical line is the X any numbers coming off of x go before y ok, x, y.

See the -5, -5 on the bottom right square both of those are negative and since E. is negative (-2, -2) it gets placed in the negative bottom right square ok.

now you see how for some squares there is only 1 number for them well the number on the other side where there is no number is the number. In the top right square there is only 5 on the y line meaning that if u look beyond that and where the other number suppose to be the -5 is there so -5 is the answer for that ok.

(The 0 in the middle is called the "Origin")

Hope this helps! I didn't exactly answer because there's no way to answer without downloading or submitting an image but it wont let me download it for some reason.

Top right square = -5, 5.

C. goes into the top right square

Top left = 5, 5.

B. goes into the top left square

Bottom right square = -5, -5.

E. gets placed in the bottom right square

Bottom left square = 5, -5.

D. gets placed in the bottom left square

A. gets placed in the bottom left square

~ LadyBrain

multiply 5.5 the width with 1.5 by 3 which gives you 24.75 inches feet long.

5.5 x 1.5 x 3=24.75 that's your answer.

Answer:297 cubic inches, other person is incorrect.




Step-by-step explanation:5.5 inches* 1.5inches * 3 feet
Convert 3 feet to inches and you have 36 inches. So now it becomes 5.5inches*1.5inches*36inches = 297 cubic inches

Answer:

$3.85

Step-by-step explanation:

To do this, we are finding the Unit Price.

12 gallons to 1 gallon is to divide by 12.

So, we divide 46.20 by 12.

The answer to this is 3.85

So, the price for 1 gallon of gas is $3.85

Hope this helps! If you want you can hit the crown

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The system that has linear inequalities has the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4.

We know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

In option B, we have

y > -3 ----> inequality A

y ≥ 2/3x - 4 ----> inequality B

In both inequality, change the values of x and y at the point (3, -2) and then compare the outcomes.

Inequality A

y > -3 ----> is true

Inequality B

y ≥ 2/3x - 4 ----> is true

Therefore

The ordered pair is a solution of the system B

As a result, the point (3, -2) in the solution set of the system with linear inequalities is y > -3; y 2/3x - 4.

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Given:

Coupon = 30%

Amount paid after using the coupon = $28

Let's find the regular price.

The coupon is a form of voucher that enables someone to get a discount off a product.

This means after a discount of 30%, the new price of the jeans is $28

Thus, to find the regular price, we have:

Where P represents the regular price.

From the equation above, let's solve for P.

Therefore, the regular price for the Jeans is $40

ANSWER:

$40

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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The sum accumulated by 31st December 2018 is Rs 4,163,060.00

What is future value?

Future value is the accumulated amount that investments would yield in future period when the amounts invested are added with the total interest earned.

Note in this case that Rs500,000  would be invested subsequently for 4 years( 2015-2018 , January 1st of each year)

We can determine the future value of each investment using the future value formula shown below:

FV=PV*(1+r)^N

PV=amount invested

r=interest=10%

N=number of years that an amount is invested(for instance, the amount invested on 1st January 2014 will earn interest in 2014,2015,2016, 2017 and 2018 i.e. for 4 years)

Total FV=1,000,000*(1+10%)^5+500,000*(1+10%)^4+500,000*(1+10%)^3+500,000*(1+10%)^2+500,000*(1+10%)^1

Total FV=Rs 4,163,060.00

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According to the given number line A is on -7, X is on -2 and E is on 8.

As you can observe in the image below, X is 5 units away from A. At the same time, X is 10 units away from E.

The ratio of this relation would be 2:1 from E to A.