classify this polynomial base on degree and number of terms:
2x^2 - 5x - 7
*I’ll give brainliest to the best answer*

4x2-3x+1

represents the polynomial below written in standard form

1) -x + 4 = -2x - 6

Add(2x)

x+4=-6

Subtract(4)

x = -10

Check your work

-(-10)+4=-2(-10) - 6

10+4=-2(-10) - 6

14=-2(-10)

14=20 - 6

14=14

Correct :)

2) 4R - 4 = 3R + 10

Add 4

4R=3R+14

Subtract 3R

R = 14

Check your work

4(14)-4=3(14)+10

56-4=3(14)+10

52=3(14)+10

52=42+10

52=52

Correct :)

3) 2Y - 3 = Y - 4

Add 3

2Y = Y - 1

Subtract Y

Y = -1

Check your work

2(-1)-3=-1-4

-2-3=-1-4

-5=-5

Correct :)

Hope it helps <3

Answer:

B.35

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The product of \(x\) and \(y\) is constant, and this constant product is \((24)(6)=144\).

So, when \(x=18\), \(y=144/18=8\).

The query is about probability and complements. A pair of dice is rolled, and the outcome is interesting since the resultant number is odd. The aim is to identify whether the complement of this event is the event of rolling an even number or one of the other choices supplied.

An event's complement is the collection of outcomes that are not included in the event. As a result, the solution will be the set of outcomes that correspond to rolling an odd number on a pair of dice.

The alternatives are as follows: (a) a number larger than 8, (b) a number less than 5, (c) an even number, and (d) a multiple of 5.

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The result of diving 107 by 10⁻³ is (E) 107,000.

So, we know that 10⁻³ is 0.001.

Therefore, the result of diving 107 by 10⁻³ is (E) 107,000.

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The correct question is given below:

The result of dividing 107 by 10^-3 is?

a. 10-4.

b. 102.5.

c. 1010.

d. 104.

e. 107,000

Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

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Answer:

Step-by-step explanation:

THE ANSWER IS 21

The given statement " If A and B are n x n and invertible, then A⁻¹B⁻¹ is the inverse of AB." is true because  A and B are invertible matrices, it means that they both have an inverse (A⁻¹and B⁻¹, respectively). The product of A and B, represented by AB, is also an n x n matrix.

To show that A⁻¹B⁻¹is the inverse of AB, we must demonstrate that the product of (AB) and (A⁻¹B⁻¹) results in the identity matrix, which is an n x n matrix with 1s along the diagonal and 0s elsewhere.
To verify this, we'll multiply (AB) with (A⁻¹B⁻¹) and check if the result is the identity matrix:
(AB)(A⁻¹B⁻¹) = A(BA⁻¹)B⁻¹ (associative property of matrix multiplication)
Since B and A^-1 are inverses of each other, their product equals the identity matrix:

A(BA⁻¹)B⁻¹= AI B⁻¹(where I is the identity matrix)
Multiplying A and I doesn't change A:
AI B⁻¹= A B⁻¹
Now, A and B⁻¹are inverses of each other as well, so their product also equals the identity matrix:
A B⁻¹= I
Thus, A⁻¹B⁻¹ is indeed the inverse of AB, as the product of (AB) and (A⁻¹B⁻¹) results in the identity matrix.

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Answer:

x=14

Step-by-step explanation:

9x = 3x + 84

9x-3x=84

6x=84

x=84/6

x=14

PLEASE GIVE ME BRAINLIEST! :)

thank you and have a good day

I hope this helps

Answer:

AOB = 73 degrees

BOC = 107 degrees

Step-by-step explanation:

AOB + BOC = 190 degrees

4x + 5 + 5x + 22 = 190

9x + 27 = 180

8x = 153

x = 17

now you plug 17 into both AOB and BOC

4(17) + 5 = 73

5(17) + 22 = 107

Answer: <AOB = 73° and <BOC = 107°

Step-by-step explanation: Since line AOC is a straight line, therefore

(4x + 5)° +(5x + 22)° = 180   (angles on a straight line)

4x + 5 + 5x + 22 = 180

9x + 27 = 180

9x = 180 - 27

9x = 153

x = 153/9

x = 17°

Therefore <AOB = (4x + 5)

Recall that x = 17°

<AOB = ( 4(17) + 5)

<AOB = (68 + 5)

<AOB = 73°

While <BOC = (5x + 22)

<BOC = (5(17) + 22)

<BOC = (85 + 22)

<BOC = 107°

Finally <AOB = 73° and <BOC = 107°

Answer:

Step

Y-0=-3/4(x-8)

Y=-3/4x+6

They represent a key aspect of Einstein's revolutionary understanding of gravity, which considers gravity as a consequence of spacetime curvature caused by matter and energy.

The Einstein field equations relate the curvature of spacetime to the distribution of matter and energy within it. In particular, the equations connect the geometry of spacetime, described by the metric tensor, to the distribution of matter and energy described by the stress-energy tensor.

The notation used in the question is specific to the Einstein field equations in the context of a spherically symmetric metric. Let's break down the equations and their meanings:

1. Gtt = 8GTtt:

  - Gtt represents the time-time component of the Einstein tensor, which characterizes the curvature of spacetime.

  - GTtt represents the time-time component of the stress-energy tensor, which represents the distribution of matter and energy.

  - The equation states that the curvature of spacetime in the time direction (Gtt) is related to the distribution of matter and energy in the time direction (GTtt).

  This equation essentially relates the time-dependent behavior of spacetime curvature to the time-dependent distribution of matter and energy. It describes how the presence and movement of matter and energy affect the curvature of spacetime in the time direction.

2. Gr = 8GTrr:

  - Gr represents the radial-radial component of the Einstein tensor, which characterizes the curvature of spacetime.

  - GTrr represents the radial-radial component of the stress-energy tensor, which represents the distribution of matter and energy.

  - The equation states that the curvature of spacetime in the radial direction (Gr) is related to the distribution of matter and energy in the radial direction (GTrr).

  This equation describes how the presence and distribution of matter and energy affect the curvature of spacetime in the radial direction. It captures the gravitational effects of matter and energy on the geometry of spacetime in the radial direction.

In both equations, the factor of 8 appears due to the conventions used in the field equations and the choice of units. It arises from the interplay between the curvature of spacetime and the stress-energy tensor.

These equations are fundamental in Einstein's theory of general relativity and provide a mathematical formulation for the dynamical relationship between matter-energy and the curvature of spacetime.

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Answer:

\({ \tt{ | |3x - 4| - 5 | > 1 }} \\ \\ { \tt{ |3x - 4| > 1 ±5}}\)

• Either |3x - 4| > 1 + 5 or |3x - 4| > 1 - 5

\({ \tt{ |3x - 4| > 6 \: \: or \: \: - 4}}\)

→ for |3x - 4| > 6:

\({ \tt{ |3x - 4| > 6}} \\ \\ { \tt{3x > 6±4}} \\ \\ { \boxed{ \tt{ \: x = \frac{10}{3} \: \: or \: \: \frac{2}{3} }}}\)

→ for |3x - 4| > -4:

\({ \tt{ |3x - 4| > - 4}} \\ \\ { \tt{3x > - 4±4}} \\ \\ { \boxed{ \tt{ \: x > 0 \: \: or \: \: - \frac{8}{3} }}}\)

Answer:

- 5/24 = 7

Step-by-step explanation:

brainliest if I'm right plz! I need one more.

Answer:

The slope is 2

Step-by-step explanation:

(-3,1)

+2 ——> (-1,5) <—— +4

m = y/x —> 4/2 —> 2

m = 2

Answer:

\(\boxed {\boxed {\sf m=2}}\)

Step-by-step explanation:

The formula for slope is:

\(m= \frac {y_2-y_1}{x_2-x_1}\)

where (x₁, y₁) and (x₂, y₂) are the points on the line.

We are given the points (-3,1) and (-1,5). Therefore,

\(x_1= -3 \\y_1= 1 \\x_2= -1 \\y_2=5\)

Substitute the values into the formula.

\(m= \frac {5-1}{-1--3}\)

Solve the numerator.

\(m= \frac{4}{-1--3}\)

Solve the denominator.

\(m=\frac{4}{2} \\\)

Divide.

\(m=2\)

The slope of the line is 2.

Answer:

Step-by-step explanation: Mean Absolute Error is a model evaluation metric used with regression models. The mean absolute error of a model with respect to a test set is the mean of the absolute values of the individual prediction errors over all instances in the test set.

Answer:

1. $1.2

2.  $0.14

Step-by-step explanation:

Step one:

given data

Black beans last week that cost $1.34

Step two:

This week's price

5 cans of beans cost $6.00

The cost per can is

= 6/5

=$1.2

The difference in price

=1.34-1.2

= $0.14

Answer:

Step-by-step explanation:

(a) To find the vertical (x-) nullcline, we set dy/dx = 0, which gives y = 0 or 4-x-5y = 0. Solving for y in the second equation gives y = (4-x)/5. Therefore, the vertical nullcline is x = 4/5.

To find the horizontal (y-) nullcline, we set dx/dy = 0, which gives x = 0 or 1-4x = 0. Solving for x in the second equation gives x = 1/4. Therefore, the horizontal nullcline is y = 0.

(b) To find the equilibrium points, we need to solve the system dx/dt = 0 and dy/dt = 0. From dx/dt = 0, we have x(4-x-5y) = 0, which gives x = 0 or x = 4-5y. Substituting x = 4-5y into dy/dt = 0 gives y(1-4(4-5y)) = 0, which gives y = 0 or y = 4/5. Therefore, the equilibrium points are (0,0) and (4/5,1/4).

(c) If we start at the initial position (1/4, ), trajectories approach the point (4/5,1/4). This can be seen from the phase plane plot, where the trajectories move towards the equilibrium point (4/5,1/4) from all directions except the x-axis, where they move towards the equilibrium point (0,0) (since the horizontal nullcline is y = 0).

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10m for the 1st floor. 7.32m for the 2nd floor.

What is the Trigonometry?

Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths.

Let the point where the man is standing on window be A.

Let the point where the dustbin is there be B.

Let the foot of the building be C.

So, according to the given details,

CB = 10m.

angle (ABC)= 45 degrees.

Let the point of the 2nd floor be P.

We must understand what the angle of depression is: It is the angle measured below the horizontal level.

In triangles ABC and PBC, we use trigonometric ratios as follows:

\(tan(45) = AC/BC\\\\AC = BC = 10cm.\\tan(60) = CP/BC\\\\CP = BC\sqrt[2]{3}\\CP = 10\sqrt[2]{3}\\ CP = 17.32m. \\\\2ndfloorheight = CP - AC = 7.32m\)

Hence, 10m for the 1st floor. 7.32m for the 2nd floor.

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The notation "||v||" typically refers to the Euclidean norm (also known as the magnitude or length) of a vector v in a Euclidean space. The Euclidean norm of a vector v in n-dimensional space is defined as the square root of the sum of the squares of its components:

||v|| = sqrt(v1^2 + v2^2 + ... + vn^2)

Given that ||v|| = 8, we can find the Euclidean norm of -7v as follows:

||-7v|| = 7 * ||-v|| = 7 * sqrt((-v1)^2 + (-v2)^2 + ... + (-vn)^2)

Since -v has the same magnitude as v but points in the opposite direction, we can replace each vi in the above expression with -vi:

||-7v|| = 7 * sqrt((-v1)^2 + (-v2)^2 + ... + (-vn)^2) = 7 * sqrt(v1^2 + v2^2 + ... + vn^2)

But we know that ||v|| = sqrt(v1^2 + v2^2 + ... + vn^2) = 8, so we can substitute:

||-7v|| = 7 * ||v|| = 7 * 8 = 56

Therefore, ||-7v|| is 56.

Answer:

y=3x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-4=3(x-0)

y-4=3x

y=3x+4

"a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years.

The 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].According to the central limit theorem , a sampling distribution of the means is usually distributed in a normal distribution, given a big enough sample size, which means that it has a bell-shaped curve. It has a standard deviation that can be estimated by dividing the population standard deviation by the square root of the sample size. Using the formula below,

we can calculate the 95% confidence interval for the population average.= 13.8 ± (1.96 × 7.3 / √45)

= 13.8 ± (1.96 × 1.088)

= 13.8 ± 2.13The limits are calculated by adding and subtracting the calculated value from the sample mean.13.8 + 2.13

= 15.9313.8 - 2.13

= 11.67Therefore, the 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].

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Point E to point B and point B to Point E matches will you move between if you move 3 units left and 4 units down

To determine which two points you will move between if you move 3 units left and 4 units down, first let's look at the coordinates of each point:

Point A: (8, 3)

Point B: (9, 10)

Point C: (3, 9)

Point D: (2, 1)

Point E: (6, 6)

Now, let's move 3 units left and 4 units down for each point and find the new coordinates:

Point A: (8 - 3, 3 - 4) = (5, -1)

Point B: (9 - 3, 10 - 4) = (6, 6)

Point C: (3 - 3, 9 - 4) = (0, 5)

Point D: (2 - 3, 1 - 4) = (-1, -3)

Point E: (6 - 3, 6 - 4) = (3, 2)

Point A to Point E: (5, -1) to (3, 2) - No match

Point B to Point C: (6, 6) to (0, 5) - No match

Point B to Point E: (6, 6) to (3, 2) - This matches the movement between Point B and Point E

Point E to Point B: (3, 2) to (6, 6) - This matches the movement between Point E and Point B

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Answer:

X = \(\sqrt{2}\) , Y = 3 , Z = 10

Step-by-step explanation:

using Pythagoras' identity in all 3 right triangles

X² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )

X = \(\sqrt{2}\)

middle triangle

Y² = 1² + X² = 1 + (\(\sqrt{2}\) )² = 1 + 2 = 3

triangle on right

Z² = 1² + Y² = 1 + 3² = 1 + 9 = 10

Answer:

Option D) d (t ) = -0.25t + 2

Step-by-step explanation:

Given the water level covering a road after a rainstorm of 2 meters, for which the water level recedes at a rate of 0.25 meters per hour:

We can express the depth, d, of the water as a linear function of the time, t, in hours elapsed from the end of the rainstorm as:

d (t ) = -0.25t + 2

The receding rate has a negative value since it represents how the water level decreases over time.

Therefore, the correct answer is Option D: d (t ) = -0.25t + 2

Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

\(x - 4 = 0 \\ x = 4 \\ \)

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function