If (14, 25) and 49, -10) are two anchor points on a trend line, then find the equation of the line.​

GIVEN

The zeros of the polynomial are given to be 1, -3, and 4.

SOLUTION

Let the equation be in terms of x.

The roots of the equation are given to be:

Recall that if a polynomial has a root x = a, a factor of the polynomial will be (x - a).

Therefore, the factors of the given polynomial will be:

The function can be gotten by multiplying the factors:

Expand the polynomial. Hence, the function is given to be:

Answer:

C

Step-by-step explanation:

hope this helps :)))))

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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Answer:

27 Grams

Step-by-step explanation:

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

\(\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}\)

Thus, the second option is correct.

Step-by-step explanation:

Given the point

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

\(\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}\)

Arrange equation variable for elimination

\(\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}\)

so

\(y+3x=-5\)

\(-\)

\(\underline{y-4x=9}\)

\(7x=-14\)

so the system of equations becomes

\(\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}\)

Solve 7x = -14 for x

\(7x=-14\)

Divide both sides by 7

\(\frac{7x}{7}=\frac{-14}{7}\)

Simplify

\(x = -2\)

For y - 4x = 9 plug in x = 2

\(y-4\left(-2\right)=9\)

\(y+4\cdot \:2=9\)

\(y+8=9\)

Subtract 8 from both sides

\(y+8-8=9-8\)

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

\(\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}\)

Thus, the second option is correct.

Answer:

\(x=\frac{7}{2}\)

Step-by-step explanation:

To solve a proportional equation, cross-multiply the numerators and denominators:

\(\frac{x}{4}=\frac{7}{8}\\8x=28\\x=\frac{28}{8}\\x=\frac{7}{2}\)

════════ ∘◦❁◦∘ ════════

════════════════════

x1 = (-4)

y1 = (-3)

x2 = (-5)

y2 = (-6)

════════════════════

slope = gradient (m)

════════════════════

\(m = \frac{y2 - y1}{x2 - x1} = \frac{( - 6) - ( - 4)}{( - 5) - ( - 3)} = \frac{( - 2)}{( - 2)} = 1 \)

════════════════════

Answer:

0.4 km

Step-by-step explanation:

1.6/4 = 0.4

Answer: .4 kilo.

Explanation: A team of four runs a total of 1.6 kilo, Garrett included in that. Divide 1.6 by 4 to get .4. 0.4 kilometers.

Answer:

40

Step-by-step explanation:

The formula is: a² + b² = c²

Looking at the picture, 41 is the hypotenuse of the triangle. We can now solve.

9² + b² = 41²

Which the answer is 40.

Answer:

2t + 8

Step-by-step explanation:

add the like terms.

The given prompt instructs you to export daily weather data for your city or a nearby city from NOAA's Climate Data Online Search. Once you have the data in Excel, select a quantitative weather variable (excluding precipitation) to analyze.

To analyze the selected variable, you can use the Descriptive Statistics -> Summary statistics function in Excel's Data Analysis Tools. Alternatively, you can use individual Excel functions to calculate the measures requested.

The measures you need to calculate and share are as follows:
1. Mean: This is the average value of the variable.
2. Median: This is the middle value when the data is arranged in ascending order.
3. Mode: This is the value that appears most frequently in the data.
4. Maximum: This is the highest value in the data.
5. Minimum: This is the lowest value in the data.
6. Sample standard deviation: This measures the spread or dispersion of the data.
7. 1st and 3rd quartiles: These are measures of the data's distribution, indicating the values below which 25% and 75% of the data lie, respectively.
8. 5-number summary: This includes the minimum, 1st quartile, median, 3rd quartile, and maximum values.

Ensure you clearly state these measures in your post along with the corresponding values for the selected weather variable.

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Answer:

206

Step-by-step explanation:

The formula for this problem would be -310 + 13(8) which = 206

The value of the expression according to the order of operations is -11. Thus option D is correct.

According to the statement

We have to find that the value of the given expression.

So, For this purpose, we know that the

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression.

From the given information:

The expression are :

(-2)-3-6

Now solve it with the order then

(-2)-3-6 = (-2)-3-6

(-2)-3-6 = -2-3-6

Now add the first two terms

then

(-2)-3-6 = -5-6

Now, Add next two terms

Then

(-2)-3-6 = -11.

The value becomes -11.

So, The value of the expression according to the order of operations is -11. Thus option D is correct.

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Answer:

(-4,2)

Step-by-step explanation:

It's the coordinates that the two lines cross at.

w = 24

work=

1000⁸=10w

write the expression in exponential form with the base of 10

10²⁴=10w

since the bases are the same, set the exponents equal

w=24

Answer:

The slope is 1/2.

Step-by-step explanation:

slope = y2-y1/x2-x1

= -2 - 1/-2-4

= -3/-6

= 1/2

The value of angle Q using the concept of similar quadrilaterals is: ∠Q = 91°

Two quadrilaterals are said to be similar quadrilaterals provided that three corresponding angles are equal (the sum of the interior angles is 360 degrees, so the fourth angle is automatically equal) and if the proportions of the two adjacent sides are equal is.

Now, we ware told that the wo given quadrilaterals GHIJ and RQPS are similar.

This tells us that corresponding angles and sides are equal to each other and therefore, we can say that:

∠G = ∠R

∠H = ∠Q

∠I = ∠P

∠J = ∠S

Thus:

∠Q = 91°

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Based on these observations, we can select the following statements that are true: Function 2 has smaller residuals than Function 1, Function 2 is a better fit for the data than Function 1.

From the given scatter plot and residual plots, we can make the following observations:

- Both functions appear to have a general linear trend that fits the data reasonably well.

- Function 2 appears to have smaller residuals than Function 1 for most of the data points.

- Function 2 appears to best fit the data than Function 1, as it follows the general trend of the data more closely.

- There does not appear to be an outlier at z = 7 for either function.

Based on these observations, we can select the following statements that are true:

- Function 2 has smaller residuals than Function 1.

- Function 2 is a better fit to the data than Function 1.

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There are 10,000,000,000 unique phone numbers that can be made with 10 digits using any single digit number (0-9) for each digit using combinations.

To determine how many phone numbers can be made with 10 digits, where any single digit number (0-9) can be used for any digit, follow these steps:

1. Understand that there are 10 possible digits (0-9) for each digit in the phone number.
2. Since there are 10 digits in the phone number, you need to calculate the total number of combinations by multiplying the number of possibilities for each digit.

To calculate this, simply raise the number of possible digits (10) to the power of the number of digits in the phone number (10):

10^10 = 10,000,000,000

So, there are 10,000,000,000 unique phone numbers that can be made with 10 digits using any single digit number (0-9) for each digit.

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The correct statement is: provided that the sample size is reasonably large (for any population).

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.

These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).

Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.

This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters

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Answer:

D. $0.47

Step-by-step explanation:

1 pound = 16 ounce

16 + 5 = 21

9.95/21 = 0.47

Answer:

0.30 per topping

Explanation:

3.35 - 2.75= 0.60

0.60 / 2 = 0.30

The recursive algorithm to multiply two positive integers m and n using repeated addition is :

Algorithm Multiply(m, n):

1. Base case: if m or n is 0, return 0.
2. Recursive case: if m is odd, return n + Multiply(m-1, n).
  if m is even, return Multiply(m/2, n) + Multiply(m/2, n).

The base case is when either m or n is 0, in which case the product is 0.

In the recursive case, we use repeated addition to compute the product of m and n. If m is odd, we add n to the product of (m-1) and n.

This can be seen as adding n to itself (m-1) times. If m is even, we split it into two equal halves and recursively compute the product of each half, and then add the two products together.

This is essentially a divide-and-conquer approach.

For example, to compute the product of 5 and 7 using this algorithm:

Multiply(5, 7) -> 7 + Multiply(4, 7) -> 7 + (Multiply(2, 7) + Multiply(2, 7)) -> 7 + ((Multiply(1, 7) + Multiply(1, 7)) + (Multiply(1, 7) + Multiply(1, 7))) -> 7 + ((7 + 7) + (7 + 7)) -> 35

So the product of 5 and 7 is 35.

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Answer:

Option 1

Step-by-step explanation:

(I have limited time so am putting the explanation in numbers)

y = -6x(Slope) + 3(y-int.)

Find x

3 + -6x = y

-3            -3

-----------------

-6x=y-3

-6x/6 = y - 3/6

x = y - 3/ 6

The closest graph to this would be the first one.

Hope this helps :)

Answer:

Option 1

Step-by-step explanation:

-6 is the slope, another way this slope can be written is rise over run, or   \(\frac{-6}{1}\).

Because the y value is decreasing the slope is negative. Also, 3 is the  

y-intercept, meaning it crosses the y axis on the graph.  Put this together and it shows option 1 is correct

A person having Tetrachronacy or the Fourth type of cone will be able to see more colors outside the conventional visible spectrum.

Recently, it has been found that some individuals possess a fourth form of the cone in addition to the three that the majority of people with normal color vision do.

When a person has tetrachromacy, their retina has four cone types instead of the typical three that most people do. It is caused by a hereditary mutation and only affects women.

In the retina, cones are a particular kind of photoreceptor cell. They enable us to see in color. We can see fine details because of the macula, the area of our retina where cones are concentrated. The retina has about 6 million cones and 120 million rods. A photopigment in the fourth type of cone found in tetrachromats enables them to perceive more colors outside of the conventional visible spectrum. ROY G. BIV is a better-known name for the spectrum (Red, Orange, Yellow, Green, Blue, Indigo, and Violet).

Cone cells come in three different subtypes:

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Answer:

-118

Step-by-step explanation:

(-8 ×14)-6

the answer is -118

Answer:

I think its 42

Step-by-step explanation:

Hope u get the right answer!