if a trend line had the equation \(y = - 2.1x + 0.43\)what y value would you expect to obtain when x has the following values:a. 15b. 0c. 4.5d. 7.1

The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

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Answer:

3/4

Step-by-step explanation:

0.75

multiply the numerator and denominator by 100.

0.75 x 100 / 1 x 100 = 75/100

75/100

Simplify 75/100

=> 3/4

hope this helps!! p.s. i really need brainliest :)

Answer:

the length of BC is 9.

x=9

Answer:

here is your answer.....

the length of BC is 9

ANSWER:OPTION C

Composing f(x)=2x-8 and g(x)=1/2x+4 results in the identity function, f(g(x)) = x.

To compose the two functions, we substitute g(x) into f(x) in place of x:

f(g(x)) = 2(g(x)) - 8

= 2(1/2x + 4) - 8

= x + 8 - 8

= x

Therefore, composing the two functions results in the identity function, f(g(x)) = x.

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Answer:

Step-by-step explanation:

\(27^{\frac{2}{3} } =(3^3)^{\frac{2}{3} }=3^{3 \times \frac{2}{3} }=3^2=9\)

Answer:

Step-by-step explanation:

Given you have collected 70 coins and stamps, and your friend has collected 1/5 as many coins and twice as many stamps, for a total of 95 coins and stamps, you want the numbers of each.

We can let x represent the number of coins you have collected. Then 70 -x is the number of stamps you have collected. The corresponding numbers for your friend are x/5 coins and 2(70-x) stamps. Your friend's collection is ...

  x/5 +2(70 -x) = 95

  -9/5x +140 = 95 . . . . . . . . simplify

  45 = 9/5x . . . . . . . . . . . . . add 9/5x -95

  25 = x . . . . . . . . . . . . . . . . multiply by 5/9

  70 -x = 45

  1/5x = 5

  2(70 -x) = 90

You collect 25 coins and 45 stamps; your friend collects 5 coins and 90 stamps.

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Answer:

65 I think, I hope I'm right :)

Step-by-step explanation:

Well we know that x+(180-(3x-70))=120 so x=65

The value of m ∠JLK will be;

⇒ x = 65°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle JKL is shown in figure.

Now,

Since, The value of m ∠JLK = x°

And, The value of m ∠KJL = 60°

And, The value of m ∠LKM = (3x - 70)°

We know that;

In triangle,

⇒ m ∠KJL + m ∠JLK = m ∠MKL

Substitute all the values, we get;

⇒ 60 + x = (3x - 70)

Solve for x as;

⇒ 60 + x = 3x - 70

⇒ 60 + 70 = 3x - x

⇒ 2x = 130

⇒ x = 65

Thus, The value of m ∠JLK = 65°

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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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Answer:

1. 325

2. 130

3. 325 - 130 = 195

4. 195

Step-by-step explanation:

Find the original price

Get the discount percentage

Calculate the savings

Subtract the savings from the original price to get the sale price

and You're all set!

The limits of the function for this problem are given as follows:

In this problem, we are given the graph of the function, hence the limit is given by the value of the function as the function approaches x = a, not the actual numeric value of the function at x = a.

At x = -2, we have that:

As the lateral limits are equal, lim x -> -2 f(x) = 3.

At x = 1, we have that:

As the lateral limits are different, the lim x -> 1 f(x) does not exist.

At x = 4, we have that:

As the lateral limits are equal, lim x -> 4 f(x) = -3.

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Answer: Only (5,4)

Step-by-step explanation:

Our equation is 2x+4y=6x-y. First, let's solve for x.

You can subtract 2x from 6x, becoming 4y=(6x-2x)-y which is 4y=4x-y. Then, you can add y, becoming (4y+y)=4x. 5y=4x, and, because we are solving for x, you divide by 4, becoming 5y/4=4x/4, or x=5y/4.

The choices below are (4,5) and (5,4), and we can plug each into x=5y/4 to see if they are a solution to the equation. Starting with (4,5), 4=5*5/4, which becomes 4=25/4. (4,5) is not a solution. With (5,4), however, 5=5/4*4, and the 4s cancel, becoming 5=5.

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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The polynomial 11x⁵  + x⁴ - 4x³ - 5x² + 8 denotes the expression P - Q. The correct option is option A.

What is an expression?

A mathematical expression is a phrase that contains a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression is (Math Operator, Number/Variable, Number/Variable)

Given polynomials are:

P = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5

Q = (2x² + 1) (4x² - 3)

Simplify the polynomial Q = (2x² + 1) (4x² - 3):

Q = (2x² + 1) (4x² - 3)

Q = 2x²(4x² - 3) + 1(4x² - 3)

Q = 8x⁴ - 6x² + 4x² - 3

Add like terms:

Q = 8x⁴ - 2x² - 3

Now calculate P + Q

P + Q = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5 + 8x⁴ - 2x² - 3

Combine like terms:

P + Q = 11x⁵ + (9x⁴ + 8x⁴) - 4x³  + (- 7x² - 2x²) + 5 - 3

P + Q = 11x⁵ + 17x⁴ - 4x³ - 9x² + 2

Now calculate P - Q

P - Q = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5 - (8x⁴ - 2x² - 3)

P - Q = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5 - 8x⁴ + 2x² + 3

P - Q = 11x⁵  + (9x⁴ - 8x⁴) - 4x³ + (-7x² + 2x² )+ (5 + 3)

P - Q = 11x⁵  + x⁴ - 4x³ - 5x² + 8

Now calculate Q - P

Q - P =  8x⁴ - 2x² - 3 - (11x⁵  + 9x⁴ - 4x³ - 7x² + 5)

Q - P =  8x⁴ - 2x² - 3 - 11x⁵  - 9x⁴ + 4x³ + 7x² - 5

Combine like terms:

Q - P = - 11x⁵ + (8x⁴ - 9x⁴) + 4x³ + (- 2x² + 7x²) - 3 - 5

Q - P = - 11x⁵- x⁴ + 4x³ + 5x² - 8

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Keep in mind that without the population standard deviation, it is impossible to provide an exact sample size. However, this formula will give you a good starting point.

To find the sample size needed for a 99.5% confidence interval with a margin of error of 1.5, we can use the formula:

n = (Z * σ / E)^2

where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error.

For a 99.5% confidence interval, the Z-score is approximately 2.807 (from a standard normal distribution table). Since we do not have the population standard deviation (σ), we will need to estimate it using a sample standard deviation or use a conservative approach by assuming the maximum possible value. For now, let's assume we have an estimated standard deviation.

n = (2.807 * σ / 1.5)^2

Solve for n by plugging in the estimated standard deviation (σ) and then round up to the nearest whole number, as you cannot have a fraction of a sample.
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Answer:

the mean is 85

the range is 98-62=36

the median is 90

the mode is 94

Step-by-step explanation:

Answer:

y = |x| + 3

Step-by-step explanation:

The point moved up the y-axis positive 3 units.

Answer:

Step-by-step explanation:

For the given angles:

Given: PQ ≅ OS . QR ≅ RS , and m ∠PRS = 72

PQ ≅ OS means that PQ ≅ OS.

QR ≅ RS means that QR ≅ RS.

m ∠PRS = 72 means that the measure of ∠PRS is 72°.

1. The measure of ∠RSQ is 72°.

Since PQ cong OS, m ∠RQS = m ∠PRS = 72°.

Therefore, the measure of ∠RSQ is 72°.

2. The measure of ∠RQS is 72°.

Since QR ≅ RS, m ∠RQS = m ∠RSQ = 72°.

Therefore, the measure of ∠RQS is 72°.

3. The measure of ∠PSQ is 144°.

The sum of the interior angles of a triangle is 180°.

In triangle RQS, the angles are RQS, RSQ, and PSQ.

Therefore, m ∠RQS + m ∠RSQ + m ∠PSQ = 180°.

Substituting in the known values, 72 + 72 + m angle PSQ = 180°.

Solving for m ∠PSQ, m ∠PSQ = 144°.

4. The measure of ∠SQP is 144°.

The sum of the interior angles of a triangle is 180°.

In triangle PSQ, the angles are PSQ, SQP, and RSQ.

Therefore, m ∠PSQ + m ∠SQP + m ∠RSQ = 180°.

Substituting in the known values, 144 + m SQP + 72 = 180°.

Solving for m SQP,  m SQP = 66°.

5. The measure of ∠QPS is 144°.

The sum of the interior angles of a triangle is 180°.

In triangle QPS, the angles are QPS, PSQ, and RQS.

Therefore, m ∠QPS + m ∠PSQ + m ∠RQS = 180°.

Substituting in the known values, m ∠QPS + 144 + 72 = 180°.

Solving for m ∠QPS, m ∠QPS = 66°.

Given: AXYZ is equilateral with m ∠X = 3a + 4 m ∠Y = 6b , m ∠Z = 19c + 3

AXYZ is equilateral means that all three angles are congruent.

Therefore, m ∠X = m ∠Y = m ∠Z.

Also write m ∠X = 3a + 4, m angle Y = 6b, and m ∠Z = 19c + 3.

Find a, b, and c.

m angle X = m ∠Y = m ∠Z.

Substituting in the known values, 3a + 4 = 6b = 19c + 3.

Solve this system of equations to get a = 2, b = 1, and c = 1/19.

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Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

Answer:

x=15

Step-by-step explanation:

Answer:

  a)  21, 34.5, 54.75, 85.125

Step-by-step explanation:

All of the answer choices differ in the first term, so that is the only one you need to figure here. However, we will do them all, so you can see it done.

We note that x > 0 for all of the values of x that we need to use. That means the recursive relation is the one we're using for computation.

f(1) = 3/2·f(0) +3 = (3/2)(12) + 3 = 18 +3 = 21 . . . . . . matches choice (a)

f(2) = 3/2·f(1) +3 = (3/2)(21) +3 = 63/2 +3 = 69/2 = 34.5

f(3) = 3/2·f(2) +3 = (3/2)(34.5) +3 = 51.75 +3 = 54.75

f(4) = 3/2·f(3) +3 = (3/2)(54.75) +3 = 82.125 +3 = 85.125

__

When you're computing for sequential input values, each depends on the previous value you computed.

_____

Additional comment

Using an exponential regression calculator (or spreadsheet), the explicit function can be found to be ...

  f(x) = 18·1.5^x -6

Answer:

in just going to say 90

Step-by-step explanation:

tell me if i got it right or wrong no hate

Answer:

4) add 5x and 9x

 answer:   14x - 30

7) subtract 28 from 15

answer: x - 13

Step-by-step explanation:  sorry if it is wrong I try my best

The solution to the variables are x = 7 and y = 4

From the question, we have the following parameters that can be used in our computation:

Shape = Triangle

The marks on the triangles imply that

So, we have the following representation

3x - 5 = 5y - 4

3x - 5 = y + 12

Substitute 3x - 5 = y + 12 in 3x - 5 = 5y - 4

y + 12 = 5y - 4

Evaluate the like terms

4y = 16

So, we have

y = 4

Substitute y = 4 in 3x - 5 = y + 12

3x - 5 = 4 + 12

So, we have

3x = 21

This gives

x = 7

Hence, the values are x = 7 and y = 4

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Answer:

??

Step-by-step explanation:

yourmissing parts

AB = 2x + 3

Just subtract the 3x - 1 from 5x + 2 = 2x + 3 is AB

x = 2

AB = 12

MB = 7

AM = 5

Hope this helps.