I need help with 3,4 and 6

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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The x-intercepts of the ellipse are (-m, 0) and (m, 0), while the y-intercepts are (0, -n) and (0, n).

A parametric description of this ellipse can be given as x = m cos(t), y = n sin(t), where t is a parameter that varies from 0 to 2π.

The equation of the ellipse is x^2/m^2 + y^2/n^2 = 1, where m and n are the lengths of the semi-major and semi-minor axes, respectively. To find the x-intercepts, we set y = 0 and solve for x, which gives x = ±m. Similarly, to find the y-intercepts, we set x = 0 and solve for y, which gives y = ±n.

A parametric description of an ellipse can be given in terms of its semi-major and semi-minor axes as x = a cos(t), y = b sin(t), where t is a parameter that varies from 0 to 2π. In this case, the semi-major and semi-minor axes are m and n, respectively, so the parametric description of the ellipse is x = m cos(t), y = n sin(t).

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Answer:

Answer: x is -9

Step-by-step explanation:

If it's a line AC with a point B between;

AC = AB + BC

substitute in terms of x :

\(8 = (2x + 20) + (2x + 24)\)

group x terms in a same bracket, and constants in their bracket

\(8 = (2x + 2x) + (20 + 24) \)

operate the brackets:

\(8 = 4x + 44\)

subtract 44 from both sides:

\(8 - 44 = (4x + 44) - 44 \)

simplify:

\( - 36 = 4x\)

divide all sides by 4:

\( \frac{ - 36}{4} = \frac{4x}{4} \\ \\ x = - 9\)

Answer:

The weight of sunflower seeds in each snack bag is 1/16 of a pound

Step-by-step explanation:

Here, we want to know the weight of sunflower seeds in each snack bag.

The total weight bought is 9/16 pound and the division is into 9 bags

So the weight of the individual bags will be ;

9/16 divided by 9

= 9/16 * 1/9 = 1/16

1. The point estimate for the difference between the means of the two populations is 2. This means that, on average, the mean of Population 1 is 2 units higher than the mean of Population 2.

2. To find the standard error of the estimate of the difference between the means, we need the sample sizes and standard deviations of both populations. Without this information, it is not possible to calculate the standard error. Please provide the necessary data to proceed.

3. With 19.48 degrees of freedom and a 95% confidence level, we can find the upper limit for the confidence interval using the t-distribution table. However, since the necessary data is not provided, we cannot calculate the upper limit at this time.

4. To determine if Population 1 has a larger mean than Population 2, we need to perform a hypothesis test. Without the necessary data, we cannot calculate the test statistic.

5. Similarly, without the necessary data, it is not possible to calculate the p-value associated with the test statistic.

6. Since we do not have the test statistic or the p-value, we cannot make a conclusion at this time.

Please provide the required data so we can proceed with the calculations.

The logarithmic form is written as logₐ(X)=b. It is a rearrangement of the exponential form, aᵇ=X.

What is Logarithmic Form?

The logarithmic form is written as logₐ(X)=b. It is generally the rearrangement of the exponential form, aᵇ=X. Any exponential equation can be written as a logarithm. The logarithmic form is mostly used to calculate an exponent of an equation. The logₐ(X)=b. is read as “log base a of X equals b“.

The logarithmic form is simply a rearrangement of an equation written in exponential form. The same numbers are used but they are written in a different order. The word log is written which implies that the logarithm function is being used.

Therefore, If the logarithmic form is logₐ(X)=b. then it is a rearranged as the exponential form as aᵇ=X.

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Using the tangent ratio to create an equation, the value of x is calculated as: A. 53.6 feet.

We can apply the tangent ratio to write an equation that will enable us solve for the value of x. The tangent ratio is expressed as: tan ∅ = opp. / adj., where:

Given the following:

Reference angle (∅) = 40 degrees.

Opposite side length = 45 ft

Adjacent side length = x ft

Apply the tangent ratio to create an equation:

tan 40 = 45/x

x * tan 40 = 45

Divide both sides by tan 40

x = 45 / tan 40

x ≈ 53.6

Thus, the value of x, is calculated as approximately, A. 53.6 feet.

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The mean, median and mode of the data sets are as follows:

The median is the middle value in a list ordered from smallest to largest.

The mode is the most frequently occurring value on the list.

The mean is the average of the distribution.

Therefore,

1. 1, 2, 3, 4, 5

mean = 1 + 1 + 2+ 3 + 4 + 5 / 6 = 16 / 6 = 2.7

median = 2 + 3 / 2 = 5 / 2  = 2.5

mode = 1

2, 2,3,4,5,6,6

mean = 2+2+3+4+5+6+6 / 7 = 28 / 7 = 4

median = 4

mode = 2 and 6

2,3, 4, 5, 5, 5,6, 6,7

mean = 3+6+7+5+4+5+6+2+5 / 9 = 43 / 9 = 4.8

median = 5

mode = 5

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Answer:

(a1/2) * 5 =b

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2+6m+7=57

6m=57-7-2

6m=50-2

6m=48

m=48/6

m=8

Answer:

= 8

Step-by-step explanation:

Brainliest?

The expresion is 3(5 + 6). The expression is represented

The probability that the basketball player will miss the shot on his 6th throw is approximately 0.0311 or 3.11%.

To find the probability that the basketball player will miss the shot on his 6th throw, we need to consider the probability of making a shot and missing a shot.

Given that the player makes 60% of his free throws, the probability of making a shot is 0.6, and the probability of missing a shot is 1 - 0.6 = 0.4.

Since each shot is assumed to be independent, the probability of missing the shot on the 6th throw is equal to the probability of making five shots followed by missing the sixth shot.

The probability of making five shots in a row is (0.6)^5 = 0.07776, as each shot has a 60% chance of being made.

Therefore, the probability of missing the 6th shot is 0.4 multiplied by the probability of making the previous five shots:

P(miss on 6th throw) = 0.4 × 0.07776 = 0.031104.

Hence, the probability that the basketball player will miss the shot on his 6th throw is approximately 0.0311 or 3.11%.

It's important to note that this probability assumes that the player's shooting percentage of 60% remains constant throughout the process and that each shot is independent of the others. In reality, a player's shooting percentage can vary, and the independence assumption may not always hold due to factors like fatigue or pressure.

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Step-by-step explanation:

°c to °F = (°c × 9/5) + 32

= ( 37.2 × 9/5) + 32

= 66.96 + 32

= 98.96 °F

if this helped pls give brainliest

To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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Answer:

56.52km

Step-by-step explanation:

Circumference = π X D (D = diameter = 2 X radius)

= (3.14) X 18

= 56.52 km

The amount Keisha still owes on the skis is C: 450 - (120 - 45)/2.

To find the amount Keisha still owes on the skis, we need to subtract the down payment, the student discount, and half of the remaining balance from the original price of the skis.

Let's evaluate each option:

A: 450 - 120 + 45/2

This option does not correctly account for the division by 2. It should be 450 - (120 + 45/2).

B: {450 - (120 - 45)/2

This option correctly subtracts the down payment and the student discount, but the division by 2 is not in the correct place. It should be (450 - (120 - 45))/2.

C: 450 - (120 - 45)/2

This option correctly subtracts the down payment and the student discount, and the division by 2 is in the correct place. It represents the correct expression to find the amount Keisha still owes on the skis.

D: {450 - (120 - 45)} / 2

This option places the division by 2 outside of the parentheses, which is not correct.

Therefore, the correct expression to find the amount Keisha still owes on the skis is C: 450 - (120 - 45)/2.

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Any of these three points, (0,4), (-4,2), or (0,0), could be the other vertices of the square, as they satisfy the properties of a square with (-2,2) as one vertex.

Given that (-2,2) is one vertex of a square, we can determine the other vertices by considering the properties of a square. In a square, all sides are equal in length, and the opposite sides are parallel. Since we know one vertex (-2,2), we can determine the other vertices by moving either 2 units to the left or right and 2 units up or down. Based on this information, we can generate three possible points: (0,4), (-4,2), and (0,0).

To visualize this, imagine a coordinate plane. Starting from (-2,2), move 2 units to the right to get (0,2) and then 2 units up to get (0,4). Similarly, moving 2 units to the left from (-2,2) gives (-4,2), and moving 2 units down gives (0,0).

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Answer:

(-1/3; 4)

Step-by-step explanation:

(-2, -1) , (-1, 6 ) and (2, 7).​

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

y=(-1+6+7)/3=12/3=4

=> (-1/3; 4)

Answer:

x5

Step-by-step explanation:

Answer:

(x - 1) (x + 4)

Step-by-step explanation:

Answer:

$20.01

Step-by-step explanation:

Simply subtract $29.99 from $50.00 so, your problem should be set up like this:

You substitute the numbers with 10s, but there cannot be more than one.

Answer:

$20.01

Step-by-step explanation:

You should subtract 50.00 and 29.99, and since there are three zeros, you have to borrow from the five, making it a four. Then, you make the first zero into a 10, then borrow from that one, making it a nine, same with the second zero. Then, for the third zero, you only borrow one from the second zero, turning the second one into a nine and the third on into a 10. You then start the subtracting process. This is the first part to the problem:

50.00 - 29.99 = ?

Then, this is what you should have after:

49.91(0) - 29.99 = ?

This is what you get after:

20.01

Then, add the dollar sign. You will get:

$20.01

Hope it helped!

Answer:

34h

Step-by-step explanation:

Combine like terms.

10h+10h+10h+4h

30h+4h

34h

-hope it helps

Answer:

34h

Step-by-step explanation:

10h+10h+4h+10h

Combine Like Terms:

=10h+10h+4h+10h

=(10h+10h+4h+10h)

=34h

Answer:

5 pizzas and 17 sodas were bought

Step-by-step explanation:

Here, we want to get the number of pizza and sodas bought

Let n be the number of pizzas bought

we are told that the number of sodas bought was 2 more than 3 times the number of pizzas

So the number of sodas will be;

3n + 2

So let’s have the equations based on the prices;

pizzas cost $9.50, soda cost $1.25

Thus;

9.5n + 1.25(3n + 2) = 68.75

9.5n + 3.75n + 2.5 = 68.75

13.25n = 68.75 - 2.5

13.25n = 66.25

n = 66.25/13.25

n = 5

Number of pizzas bought is 5

number of soda is 3n + 2 = 3(5) + 2 = 15 + 2 = 17

The best possible equation of the line of best fit would be →

y = 8.6x + 10.5.

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data

Given is a scatter plot as shown in the image.

For the given graph the correlation is positive. So, we can write the slope of the line of the best fit as positive. So, we can write the equation of the line of best fit as → y = 8.6x + 10.5.

Therefore, the best possible equation of the line of best fit would be →

y = 8.6x + 10.5.

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If the null hypothesis is actually true, the probability of mistakenly rejecting it is 0.05 or 5%.

The probability of rejecting the null hypothesis by mistake, also known as a Type I error, is equal to the significance level, which is 0.05 in this case.

When the null hypothesis is true, the p-value represents the probability of obtaining a test statistic as extreme as, or more extreme than, the observed value. If the p-value is less than 0.05, we would reject the null hypothesis.

Therefore, if the null hypothesis is actually true, the probability of mistakenly rejecting it is 0.05 or 5%.

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The percent of increase is 19.6%.

According to the given question.

Innital lenght = 46m

Final length = 55m

So, increase in the length = 55m - 46m = 9m

Therefore,

The percent of increase

= increase in the length/original length  × 100

= 9/46 × 100

= 0.195 × 100

= 19.56%

= 19.6%

Hence, percent of increase is 19.6%.

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The answers are:

(a) The x component of the vector is 41.568 m.
(b) The y component of the vector is 24.0 m.

(a) The displacement vector \(\( \vec{r} \)\) in the xy plane has a magnitude of 48.0 m and is directed at an angle of \(\( \theta = 30.0^\circ \)\) in the figure.
To determine the x component of the vector, we can use the trigonometric identity \(\( \cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} \).\)
In this case, the adjacent side represents the x component, and the hypotenuse is the magnitude of the vector.

So, the x component can be calculated as:
\(\( \text{x component} = 48.0 \, \mathrm{m} \times \cos(30.0^\circ) \)\( \text{x component} = 48.0 \, \mathrm{m} \times 0.866 \)\( \text{x component} = 41.568 \, \mathrm{m} \)\)
Therefore, the x component of the vector is 41.568 m.

(b) To determine the y component of the vector, we can use the trigonometric identity\(\( \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \).\)
In this case, the opposite side represents the y component, and the hypotenuse is the magnitude of the vector.

So, the y component can be calculated as:
\(\( \text{y component} = 48.0 \, \mathrm{m} \times \sin(30.0^\circ) \)\( \text{y component} = 48.0 \, \mathrm{m} \times 0.5 \)\( \text{y component} = 24.0 \, \mathrm{m} \)\)
Therefore, the y component of the vector is 24.0 m.

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2.3,3.3% and 2/3 in order of greatest to least is 3.3% > 2/3 > 2.3.

Arrangement in a series that begins with the greatest or largest and ends with the least or smallest.

Now the given numbers are,

2.3,3.3% and 2/3

Converting them into decimals we get,

2.3 = 2.300

3.3% = 0.033

2/3 = 0.667

Arranging them from greatest to least we obtain,

0.033  > 0.667 > 2.3

Thus, the given numbers from greatest to least are,

3.3% > 2/3 > 2.3

Hence, 2.3,3.3% and 2/3 in order of greatest to least is 3.3% > 2/3 > 2.3.

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In 3 hours Tom drives 243 miles.

So, to find how many miles Tom can drive in 3 hours:

Given: Tom drives 81/2 miles every 1/30 hour.

So, in 30 minutesTom drives 40.5 miles.

Therefore, Tom drives 243 miles in 3 hours.

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