Find the range of the function f(x) = x2 + 5x for the domain (-1,0, 1}.
Range:

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Answer:

.70x + 14.50= 36.90    x=32

Step-by-step explanation:

0.7x=36.9-14.5

0.7x=22.4

x=32

Answer:

i believe the correct answer here is 53

Step-by-step explanation:

so if 1 cookie is 70 cents, then you determine how many cookies is $36.90

you use proportion and say(convert to cents)

70: 1

3690: more

and calculating using proportion, you get 52.714285714286 and when you round it off it's 53. to prove your answer you say 0.7 × 52.7 = 36.9

Treat the matrices on the right side of each equation like you would a constant.

Let 2X + Y = A and 3X - 4Y = B.

Then you can eliminate Y by taking the sum

4A + B = 4 (2X + Y) + (3X - 4Y) = 11X

==>   X = (4A + B)/11

Similarly, you can eliminate X by using

-3A + 2B = -3 (2X + Y) + 2 (3X - 4Y) = -11Y

==>   Y = (3A - 2B)/11

It follows that

\(X=\dfrac4{11}\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\dfrac1{11}\begin{bmatrix}7&-10\\-7&11\end{bmatrix} \\\\ X=\dfrac1{11}\left(4\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\left(\begin{bmatrix}48&-12\\40&88\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\begin{bmatrix}55&-22\\33&99\end{bmatrix} \\\\ X=\begin{bmatrix}5&-2\\3&9\end{bmatrix}\)

Similarly, you would find

\(Y=\begin{bmatrix}2&1\\4&4\end{bmatrix}\)

You can solve the second system in the same fashion. You would end up with

\(P=\begin{bmatrix}2&-3\\0&1\end{bmatrix} \text{ and } Q=\begin{bmatrix}1&2\\3&-1\end{bmatrix}\)

Step-by-step explanation:

hence it has been done . check the file .

hope this helped you

any problem then comment it .

Answer: 20 minutes

Step-by-step explanation:

if you travel 12 miles in 240 minutes, divide 240 by twelve to find the time for one mile.

Answer:

x=2/3

Step-by-step explanation:

(2x+1)/2 = 2 1/3/4

Multiply 4 on both sides:

2x+1=2 1/3

Rewrite:

2x+1=7/3

Subtract 1 on both sides:

2x=4/3

Divide 2 on both sides:

x=2/3

Thus x=2/3

Hope this helps!

Answer:

2.25

Step-by-step explanation:

The given sοurce, which mentiοns the Physicians Cοmmittee fοr Respοnsible Medicine's οppοsitiοn tο meat and dairy prοducts and their funding frοm the Fοundatiοn tο Suppοrt Animal Prοtectiοn, indicates a pοtential bias in a statistical study related tο diet and animal prοducts.

Animal prοtectiοn refers tο effοrts and initiatives aimed at ensuring the welfare, rights, and well-being οf animals. It invοlves variοus activities and measures implemented tο prevent cruelty, abuse, and neglect tοwards animals, as well as prοmοting their cοnservatiοn and ethical treatment.

The οrganizatiοn's clear stance against meat and dairy prοducts suggests a preexisting bias tοwards prοmοting plant-based diets and animal welfare. This bias may influence the design, executiοn, and interpretatiοn οf any statistical study οr research cοnducted by the Physicians Cοmmittee fοr Respοnsible Medicine in relatiοn tο diet and animal prοducts.

Bias can arise when there is a cοnflict οf interest οr a strοng alignment with a particular viewpοint οr agenda. In this case, the funding received frοm the Fοundatiοn tο Suppοrt Animal Prοtectiοn, which may have its οwn οbjectives and interests related tο animal welfare, further suggests a pοtential bias tοwards favοring plant-based diets and οppοsing the use οf animal prοducts.

It is impοrtant tο critically evaluate the findings and cοnclusiοns οf any study cοnducted by an οrganizatiοn with knοwn biases. When assessing the credibility and validity οf a statistical study, it is advisable tο cοnsider multiple sοurces, including thοse with diverse perspectives, and tο examine the methοdοlοgies, data sοurces, and pοtential cοnflicts οf interest.

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Answer:

a)  x=24/k

b)  x=24/3

    x=8

Step-by-step explanation:

Quotient meant division and you are trying to find the quotient (x) so you divide 24 by 3 to get 8

To know more about the evenness or oddness of the given functions: the function f(x) = x√(1 - x²) is odd, the function g(x) = x² - x is neither even nor odd, and the function f(x) = (1/5)x⁶ - 3x² is even.

a. The function f(x) = x√(1 - x²) is an odd function.

To determine if a function is odd, we need to check if f(-x) = -f(x) for all x in the domain. Substituting -x into the function, we have f(-x) = (-x)√(1 - (-x)²) = -x√(1 - x²) = -f(x), which satisfies the condition for odd functions.

b. The function g(x) = x² - x is neither even nor odd.

To check for evenness, we need to verify if g(-x) = g(x) for all x in the domain. Substituting -x into the function, we have g(-x) = (-x)² - (-x) = x² + x, which is not equal to g(x) = x² - x. Therefore, g(x) is not even.

To check for oddness, we need to verify if g(-x) = -g(x) for all x in the domain. Substituting -x into the function, we have g(-x) = (-x)² - (-x) = x² + x, which is not equal to -g(x) = -(x² - x) = -x² + x. Therefore, g(x) is not odd.

c. The function f(x) = (1/5)x⁶ - 3x² is an even function.

To determine if a function is even, we need to check if f(-x) = f(x) for all x in the domain. Substituting -x into the function, we have f(-x) = (1/5)(-x)⁶ - 3(-x)² = (1/5)x⁶ - 3x² = f(x), which satisfies the condition for even functions.

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Using a linear function, it is found that Company D would have given you the best deal for 7 hours of moving.

A linear function is modeled by:

y = mx + b

In which:

In this problem, we consider:

Hence the costs for x hours of moving from each company are given as follows:

For 7 hours, the costs are given as follows:

Due to the lower cost, Company D would have given you the best deal for 7 hours of moving.

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2 sides are 15 x 8 = 240

2 sides are 8 x 6 = 96

2 sides are 15 x 6 = 180

total surface area: 240 + 96 + 180 = 516 square meters

Answer:

x=11/18 or 0.61

Step-by-step explanation:

Let x represent the blank

\(As\ x:11::1/3:6\ form\ a\ proportion,\ we\ may\ use\ the\ ratio\ method\ to\ find\ x.\\\\Hence,\\x:11::1/3:6\\6x=1/3*11\\x=11*1/3*1/6\\x=11*1/18\\x=11/18\)

The correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.

What is property of similar triangle?

If the corresponding sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are similar.

They have parallel corresponding sides, and they have angles with the same measure.

hence, the correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.

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The goat can reach a circular region centered at the corner of the rectangular burn where it is tethered. The radius of the circle is 50 feet, the length of the goat's rope.

To visualize the region the goat can reach, we can draw a diagram of the rectangular burn and the circular region around the tethered goat. The center of the circle is at the corner of the rectangular burn where the goat is tethered. The radius of the circle is 50 feet, which is the length of the goat's rope. The circle intersects the sides of the rectangular burn, dividing them into two segments. The goat can move freely within the circular region, but it cannot reach any part of the rectangular burn that is outside the circle.

In summary, the region the goat can reach is a circular region centered at the corner of the rectangular burn where it is tethered. The radius of the circle is 50 feet, which is the length of the goat's rope. The circle intersects the sides of the rectangular burn, dividing them into two segments, and the goat cannot reach any part of the rectangular burn that is outside the circle.

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Answer:

\(A = 15\pi\)

Step-by-step explanation:

1. 150 degrees is 5/12 of a circle

2. Find area but divide by 5/12:

\(A = \frac{5}{12} \pi (6)^2\)

3. Solve

\(A = \frac{5}{12} \pi (36)\)

4. Simplify

\(A = 15\pi\)

Answer: The answer would be the one going a slope downwards

Step-by-step explanation:

Answer:

your answer is D

Step-by-step explanation:

hope it helps

have a great day (:

Answer:

The equation for this is 15÷n+1

Step-by-step explanation:

Hope this helps!

After 23 years

hope this is helpful!

Answer:

78

Step-by-step explanation:

Use PEMDAS for questions like these (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction) It gives an order in which you should solve the problem. In this case, put 46 instead of T to get (46*2)-14. If we look at PEMDAS, it shows that we need to do what is in the parenthesis first. So, 46x2=92. You get 92-14. Solve that and you get 78

Answer:

The length of each edge is 2in.

Step-by-step explanation:

This is because 2x2x2=8. 2x2 is 4 and 4x2 is 8.

The energy diagrams of a mass in a spherical bowl can be analyzed to understand the potential energy distribution and the equilibrium points of the system.

In a spherical bowl, the gravitational potential energy is the dominant factor. As the mass moves within the bowl, its position relative to the center of the bowl determines its potential energy. The height of the mass above the bottom of the bowl corresponds to the potential energy at that point.

When analyzing the energy diagrams, several key points can be observed:

Lowest Point: The lowest point in the bowl represents the stable equilibrium position. At this point, the potential energy is at its minimum, and any slight displacement will cause the mass to move back towards the equilibrium position.

Highest Point: The highest point in the bowl represents the unstable equilibrium position. At this point, the potential energy is at its maximum, and any displacement will cause the mass to move away from the equilibrium position.

Potential Energy Curve: The energy diagram will have a curved shape, where the potential energy increases as the mass moves away from the equilibrium position. The shape of the curve will depend on the specific shape of the bowl.

Equilibrium Points: Apart from the lowest point, there may be other equilibrium points in the bowl where the potential energy is locally minimum. These points represent positions where the mass can temporarily rest without rolling down further, but they are not as stable as the lowest point.

Overall, analyzing the energy diagrams of a mass in a spherical bowl allows us to understand the equilibrium positions, potential energy distribution, and stability of the system. It provides insights into the behavior of the mass and how it will respond to external forces or disturbances.

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Answer:

it is C

Step-by-step explanation:

8 x 2 =16

10x 2 20

Answer:

option C

Step-by-step explanation:

The length of crossbar that Sasha need to complete the kite is equal to √8 units.

By critically observing the image of the kite shown below, we can logically deduce that the crossbar and the two (2) given lengths formed a right-angled triangle as illustrated by the right angle symbol between the two given sides.

In order to determined, we would have to apply Pythagorean's theorem. Mathematically, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the side lengths of a right-angled triangle.

Substituting the given parameters into Pythagorean's theorem, we have the following;

c² = a² + b²

c² = 2² + 2²

c² = 4 + 4

c = √8 units.

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The constant of variation is 1/8.

The discrepancy among an ideal and real scenario is referred to as the Law of Variation. The most frequent manifestations of variation or variability are changes in the data, anticipated results, or minor changes in the quality of the output.

The types of variation are given below-

According to the question;

A quantity m varies jointly with p and r which shows that p and r in joint variation with m.

m ---> pr

m = kpr

where, k is the constant of variation.

m = 1, p = 2, r = 4.

Substitute the values in the relation,

1 = k(2)(4)

1  = 8k

k = 1/8

Therefore, the constant of variation is 1/8.

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Answer:

B: \(\frac{1}{8}\)

Step-by-step explanation:

Answer:

The top right corner

Step-by-step explanation:

I hope you have a good day

Answer:

2nd One

Step-by-step explanation:

The answer is the 2nd one because it is not a line, and the rest are functions. This line is curved. Non-linear functions mean the graph is not a straight line, which would perfectly describe this one because it starts straight and curves up.

Answer:

6×4 = 24 m^3

..............................

Answer:

24 units

Step-by-step explanation:

because 6x4=24 units

Answer number 3

Step-by-step explanation:

Answer:

hey, i answered in the wrong place last time, so i'm answering here again, it's letter c or d

Step-by-step explanation:

The expression given involves various terms and operations. To simplify it completely, each term needs to be evaluated and simplified. The given expression includes square roots, fractions, and exponentiation.

a. To simplify 16a, we need more information about the variable 'a' to provide a specific answer.
b. The expression 18² can be simplified as 324, since 18 squared equals 324.
c. For 26/(6 - √2), we can rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator, which is 6 + √2. Simplifying this will result in (26(6 + √2))/(36 - 2) = (156 + 26√2)/34 = (78 + 13√2)/17.
d. SA²²¹ is an unknown term, so it cannot be simplified further without additional information.
e. The expression 5 - √(101) is already in its simplest form, since the square root cannot be simplified further.
f. The expression 12(2/2)(KE83) can be simplified as 12 * 1 * KE83 = 12KE83, assuming KE83 represents a known quantity.
In summary, the given expression involves various terms, some of which can be simplified, while others require additional information or are already in their simplest form.

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Answer:

\(y=\dfrac{1}{8}x^2+1\)

Step-by-step explanation:

Since the vertex is right between the vertex and the directrix, the y value of the vertex must be (3+(-1))/2=1. The x coordinate will just be the same as that of the focus, or in this case 0. This means that the vertex will be at (0,1). Since the graph opens toward the focus, it will be opening up, and since its vertex is at (0,1), it will have an equation of:

\(y=\dfrac{1}{8}x^2+1\)

Hope this helps!

Answer:

y = one eighth x^2 + 1

Step-by-step explanation:

i took the test and got it right