According to the Rational Root Theorem, Negative two-fifths is a potential rational root of which function? f(x) = 4x4 â€" 7x2 x 25 f(x) = 9x4 â€" 7x2 x 10 f(x) = 10x4 â€" 7x2 x 9 f(x) = 25x4 â€" 7x2 x 4.

Answer: y ≤ 3x - 1

Step-by-step explanation:

Since the shaded area is "below" the line, it is less than y, and since the line is a solid line it equal to or less than (≤). The slope of the inequality is positive 3 since the rise is 3, the run is 1 and the slope ascends to the right. Finally, the y-intercept is -1 since it crosses the y-axis at (0,-1).

Brainliest please?

The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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The function g(x) = (-2 + √(1 + x)) / 2 is the inverse function of f(x) = 2x^2 + 4x, denoted as f^(-1)(x). It satisfies the composition property, meaning that (g∘f)(x) = (f∘g)(x) = x

To find the function g(x) such that (g∘f)(x) = (f∘g)(x) = x, we are looking for an inverse function of f(x) = 2x² + 4x.

To find the inverse function, let's follow the steps:

Replace f(x) with y.

y = 2x² + 4x

Swap the roles of x and y.

x = 2y² + 4y

Now solve the equation for y.

Rearranging the equation, we get:

2y² + 4y - x = 0

To solve this quadratic equation for y, we can use the quadratic formula:

y = (-4 ± √(4² - 4(2)(-x))) / (2(2))

y = (-2 ± √(1 + x)) / 2

Now, we have two potential solutions for g(x):

g(x) = (-2 - √(1 + x)) / 2

(f∘g)(x) = f(g(x))

= 2(g(x))² + 4(g(x))

= x

(g∘f)(x) = g(f(x))

= g(2x² + 4x)

≠ x

As we can see, (g∘f)(x) ≠ x, but (f∘g)(x) = x.

This means that g(x) = (-2 + √(1 + x)) / 2 is the inverse function of f(x), denoted as f⁻¹(x), but g(x) = (-2 - √(1 + x)) / 2 is not the inverse function.

So, g(x) = f⁻¹(x) is true only for g(x) = (-2 + √(1 + x)) / 2.

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This problem involves finding the area of a circle given its diameter. The formula for finding the area of a circle is A = πr^2, where A is the area and r is the radius. Since the diameter is given, we can find the radius by dividing it by 2.

In this case, the diameter is 6 inches, so the radius is 3 inches. Plugging this value into the formula gives A = 3.14 x 3^2 = 28.26 square inches. Therefore, the area of the circle is approximately 28.26 square inches. This problem demonstrates the use of basic geometry concepts and the formula for finding the area of a circle.

It also highlights the importance of understanding and correctly applying mathematical formulas in solving real-world problems.

The correct option is D. 100. The jet engine is 100 times more intense than the rock concert.

The decibel scale is logarithmic, which means that every increase of 10 decibels represents a tenfold increase in sound intensity. To determine how many times more intense the jet engine (140 decibels) is compared to the rock concert (120 decibels), we need to calculate the difference in decibels and then convert it into intensity ratios.

The difference in decibels is 140 - 120 = 20 decibels. Since every 10 decibels represent a tenfold increase in intensity, a 20-decibel difference corresponds to a 100-fold increase in intensity. Therefore, the jet engine is 100 times more intense than the rock concert.

Among the options provided: A. 20 (not correct), B. 2 (not correct), C. 1/100 (not correct), D. 100 (correct). The correct option is D. 100.

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Answer:

198 in²

Step-by-step explanation:

triangle (A=1/2)bh [A=1/2(22×8)] b=22 H=8

rectangle (A=bh) [A= 22×5] B=22 H=5

triangle = 88

rectangle = 110

So, 88+110 = 198

The expression [3.8×10^6]^(-1/2) can be expressed in scientific notation as 1.9×10^(-5).

To simplify the expression, we can apply the rule of exponentiation which states that \((a^m)^n = a^(^m^*^n^)\). In this case, we have \((3.8\times10^6)^(^-^1^/^2^)\), which is equivalent to  \((3.8\times10^6)^(^-^1^/^2^)\)

Evaluating each part separately, \(3.8^(^-^1^/^2^)\)is approximately 0.5176. And \((10^6)^(^-^1^/^2^)\) is equal to \((10^6)^(^-^1^/^2^)\)= \(10^-^3\), which is 0.001 in decimal notation.

Multiplying these two results, we get 0.5176 × 0.001 = 0.0005176.

Since this result is less than 1, we can express it in scientific notation by moving the decimal point three places to the right, resulting in 5.176 × \(10^-^4\). However, we need to adjust the exponent to maintain the same value. Since we moved the decimal point three places to the right, we decrease the exponent by three, giving us 1.9 × \(10^-^5\\\).

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By following below steps, you will be able to determine which triangle represents the image of triangle XYZ after the given transformations.

To determine which triangle represents the image of triangle XYZ after it was reflected across line M and then dilated to form a similar triangle, you should follow these steps:

1. Identify the reflection: Find the image of triangle XYZ after reflecting it across line M. The reflected triangle will have the same shape and size, but its orientation and position will be changed.

2. Identify the dilation: From the reflected triangle, find the image that represents a similar triangle by checking if all corresponding angles are equal and the side lengths are proportional. This triangle will have the same shape as the reflected triangle, but its size may be different due to dilation.

By following these steps, you will be able to determine which triangle represents the image of triangle XYZ after the given transformations.

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Answer: B

Step-by-step explanation:

The answer is that we cannot verify the similarity of triangles △PQR and △STU based on the given information. The missing ratios QR/TU and PR/SU cannot be determined without additional data or measurements. Only the ratio PQ/ST can be determined, which is equal to 4. Therefore, we do not have enough information to conclude that △PQR and △STU are similar triangles.

To verify that the triangles △PQR and △STU are similar, we can compare the ratios of their corresponding sides.

We have:

QR/TU = ?

PR/SU = ?

PQ/ST = 52/13 = ?

To find the missing values, we can use the property of similar triangles that states the corresponding sides of similar triangles are proportional.

Let's find the missing values one by one:

1. QR/TU:

We don't have enough information to determine the value of QR/TU. It is not possible to establish a ratio without additional data or measurements.

2. PR/SU:

Similarly, we cannot determine the value of PR/SU without more information or measurements.

3. PQ/ST:

Given PQ/ST = 52/13, we can simplify the ratio:

PQ/ST = (4*13)/(1*13) = 4/1 = 4.

Therefore, PQ/ST = 4.

Since we were unable to determine the values of QR/TU and PR/SU, we cannot conclude that △PQR and △STU are similar triangles based on the given information.

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Step-by-step explanation:

write the slope in slope intercept form, y=mx+b

y= -4/5x + 4

hope this helps :)

Answer:

The answer is 1.2

Step-by-step explanation:

Answer:

-8xy+2xy=-6xy

Step-by-step explanation:

don't panic. just breathe and then use common sense.

1.

1 math question in 1/200 second

2 minutes have 2×60 seconds = 120 seconds.

each of the seconds has 200 1/200 seconds.

so, in 2 minutes we have

120 × 200 time units to finish math questions.

in each time unit 1 math question can be answered.

120×200 = 24,000

the computer can answer 24,000 math questions in 2 minutes.

2.

it can run for 15 minutes.

15 minutes have

15×60 = 900 seconds (as every minute has 60 seconds)

it can vacuum 1/2 ft² in 1 seconds.

in 900 seconds it can then vacuum 900×1/2 = 450 ft².

so, yes, it can clean 400 ft² without recharging.

Answer:

x = -4 or x = -2

Step-by-step explanation:

(x + 3)² = 1​

x² + 6x + 9 = 1

x² + 6x + 8 = 0

(x + 4)(x + 2) = 0

x = -4 or x = -2

Answer:

i may be wrong but itcould be 1/3 butt i dont know ur A.B.C.D

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

First, find 5/8 of 48

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

48

1

So now that we've converted 48 into a fraction, to work out the answer, we put the fraction 5/8 side by side with our new fraction, 48/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

5 x 48/8 x 1 = 240/8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 240 and 8 is 8.

We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.

240/8 = 30

8/8 = 1

When we put that together, we can see that our complete answer is:

30/1

The complete and simplified answer to the question what is 5/8 of 48 is:

Now that we have found 5/8 of 48. It can be confirmed that Sue gave her sister 30 dolls.

Answer:

A) The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

The area of parallelogram 1 is 2 square units greater than the area of parallelogram. Option 2 is correct.

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.

A₁ is the area of parallelogram 1

A₁ is the area of parallelogram 2

l₁ is the distance between the points (2,6),(0,2)

l₂ is the distance between the points (4,0)(0,2)

b₁ is the distance between the points (2,0),(0,-2)

b₂ is the distance between the points (2,6),(4,-6)

A₁ =  l₁ × b₁

A₁=4.47 ×4.47

A₁  = 19.89 sq.unit

A₂=l₂×b₂

A₂=2.82 × 6.342

A₂=17.88 sq.unit

A₁-A₂ = 19.89 sq.unit - 17.88  sq.unit'

A₁-A₂= 2.01

The area of parallelogram 1 is 2 square units greater than the area of a parallelogram.

Hence,option 2 is correct.

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Answer:

Step-by-step explanation:

it has 14 sides

360/14= 25.714

rounding to the nearest tenth we get:

25.7

Answer:

corey can wash 48 dogs in 8 hours

Step-by-step explanation:

we know  that he can wash 12 dogs in 2 hours. we need to know how many dogs he can wash in 1 hour, to do that we take the 12 dogs divided by 2 hours

12/2 = 6 dogs

he can wash 6 dogs in 1 hour

to find out how many dogs he can was in 8 hours you take number of dogs  per hour times amount of time given.

6dogs * 8 hours= 48 dogs

the graph of the function g(x) = |x + 3|  will not have a negative value. graph of the given function is attached below.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given a function  g(x) = |x + 3|.

Since the modulus of a function is a function that gives the absolute value of a number or variable. It produces the magnitude of the number of variables. It is also termed an absolute value function. The outcome of this function is always positive, no matter what input has been given to the function.

Thus,

The domain of this function g(x) is - infinite to  + infinite

And range will be [0, ∞)

So the graph of the function g(x) = |x + 3|  will not have a negative value.

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Answer:

yes because its closer to not being negitibve

Step-by-step explanation:

Answer:

Greater!

Step-by-step explanation:

-3 is closer to 0 than -5 is.

Answer:

C

Step-by-step explanation:

Connor's 58 comic books subtracted by Drew's 31 is 27. Which means to have more than Connor's has to be more than 27 which is at least 28.

Answer:

C

Step-by-step explanation:

negative four raised to the sixth power divided by negative four raised to the fourth power

because  negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power

negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power

The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.

This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.

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Answer:

Logan's box can hold 3 dolls at max capacity, meaning that if mia's box is 4 times higher, wider, and longer her box would hold 192 dolls.

Step-by-step explanation:

Mia's box is 4 times more high meaning that already she would be able to hold 12 dolls but her box is also four times wider meaning that with this she is now able to hold 48 dolls BUT her box is even 4 times longer meaning that she is able to hold 192. 3*4*4*4=192

Mia got about 192 dolls for having a much larger box.

Volume is the amount of space occupied by a three dimensional object or figure. The volume (v) is given by:

v = length (l) * breadth (b) * height (h)

Let the volume of the small box (v) = lbh

For the big box(V):

V = 4l * 4b * 4h = 64v

Since the small box can hold 3 dolls, the big box can hold 192 dolls (64 * 3).

Mia got about 192 dolls for having a much larger box.

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Answer:

1. $11

2. $10.75

3. new median: 12

new mean: $11.75

Answer:

B. 4

Step-by-step explanation:

there are 12 in. in one foot and since there are 2 ft there would be 24 in.

24 divided by 6 is 4 hope it helped :)

There are 4 pieces would be possible to cut 6 in. long board from 2 ft. long board.

The dimension of a physical quantity is defined as the power to which the fundamental quantities are raised to express the physical quantity

Here, Total board size = 2 ft

         We know that, 1 ft. = 12 in.

                  so, 2 ft. = 24 in.

We have to cut board into 6 in. board

Total number of boards = Bigger Board Size / Small size

                                         = 24 / 6

                                         = 4 pieces

Thus, there are 4 pieces would be possible to cut 6 in. long board from 2 ft. long board.

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Answer:

-(r+8)

Step-by-step explanation:

0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

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Answer:4

Step-by-step explanation:22-4=18-4=14-4=10-4=6=2