Find f(2) and f(a + h) when f(x) = 3x2 + 2x + 4.

Given an equation s^2 = s.

The numbers which are the solutions for the given equation can be obtained by solving the equation. The solution of the given equation is as follows:

Using the zero-product rule, we can say that the above equation holds true if s = 0 or s - 1 = 0. That implies, x = 0 and x = 1 are the solution of the given equation.

Thus, the solutions are x = 0 and x = 1.

Answer:

y = -4/3x + 2

Step-by-step explanation:

Slope intercept form is y = mx + b.

Rearrange the equation into slope intercept form by isolating y:

12x + 9y = 18

9y = -12x + 18

Divide each side by 9:

y = -4/3x + 2

So, the equation is y = -4/3x + 2

Answer: 6x - 4 = 68

Step-by-step explanation:

           Vertical angles are congruent to each other. The two angles given, 6x - 4 and 68, are vertical angles. This means we can set them equal to each other for our equation. Using this logic, the answer is;

                         6x - 4 = 68

Answer:

\(2x + y \leq 8\)

Step-by-step explanation:

since potatoes cost $2 they are represented as 2x

Carrots cost $1 and are simply y

y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2

m=-2

Now let us find the y intercept

-3=-2(4)+b

-3=-8+b

-3+8=b

5=b

Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

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For binary class classification, assumptions are necessary in a way:

Given that

From Boyer Naive classifier,

We evaluate (ai | vj) is given below

(ai | vj) = n(e) + m(p) / n + m

Here,

m = equivalent sample size

n(e) = number of training examples

for which v = vj and a = ai

n(i) = number of training example for which v = vj

P = a prior estimate for P(ai | vj)

Here, we calculate that

P(SUV | yes), P(Red | yes), P(Domestic | yes)

P(SUV | no), P(Red | no), P(Domestic | no)

We evaluating this value like

yes:

RED :                             SUV:                            DOMESTIC:

n = 5                              n = 5                             n = 5

n(c) = 3                          n(c) = 1                           n(c) = 2

P = 0.5                          P = 0.5                           P = 0.5

m = 3                              m = 3                            m = 3

Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.

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Answer:

B. 36π in²

Step-by-step explanation:

Given:

Volume = 54π in³

height (h) = 6 in.

Required:

Curved surface area of the can (area for the label needed to wrap around the can without overlapping)

Solution:

First, we need to find the radius (r) of the can.

Volume = πr²h

Plug in the given values and solve for r

54π = π*r²*6

54π = 6π*r²

54π/6π = r²

9 = r²

r = √9

r = 3 in

✔️Find the curved surface area:

Curved surface area = 2πrh

r = 3 in

h = 6 in

Plug in the values

C.S.A = 2*π*3*6

C.S.A = 36π in²

Using the z-score, mean and sample mean, the standard deviation of the sample is 7.57

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

The formula is given as;

z = x - μ / σ

Substituting the values into the formula;

-2.13 = 19.3 - 29 / σ

Cross multiply both sides;

-2.13σ = 19.3 - 29

-2.13σ = -9.7

Divide both sides by the coefficient;

-2.13σ / -2.13 = -9.7 / -2.13

σ = 7.57

The standard deviation is 7.57

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Answer:

1:3  

Step-by-step explanation:

Answer:

sup

Step-by-step explanation:

Answer:

between 8 and 9.

EXTRA: if this is the same work sheet I did, I have more answers.

Is it reasonable to predict the water consumption for October? explain.

No, the water consumption should decrease during colder months.

Answer:

9000 gallons

Step-by-step explanation:

Because in spring the months was lower than the summer months, the summer months went up 2 gallons. More water the livestock needed because the hotter it was.

The most appropriate integration method to solve ∫[√(16 - x²)]/x² is by using the intergration by parts method

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

∫[√(16 - x²)]/x² dx

The most appropriate integration method to solve ∫[√(16 - x²)]/x² is by using the intergration by parts method

The intergration by parts method states that

∫udv = uv - ∫vdu

In this case, we have

u = √(16 - x²)

dv = 1/x² dx

So, the expanded expression is

∫[√(16 - x²)]/x² dx = √(16 - x²) * v - ∫v du

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Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5

The expression which has the same value as -3/7 - 7/8 is -73/56

A fraction refers to a number which has a numerator and a denominator.

A numerator is the upper value of a fraction while a denominator is the lower value of a fraction.

A fraction can be added or subtracted by finding the lowest common multiple of the denominator.

-3/7 - 7/8

= (-24-49) / 56

= -73/56

In conclusion, -73/56 is equivalent to -3/7 - 7/8

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Answer:

\( \sf \: \frac{ - 73 \: }{ \: 56} \)

Step-by-step explanation:

Given problem,

\( \sf \rightarrow \: \frac{ - 3 \: }{ \:7} - \frac{7}{8} \)

Let's solve the problem,

\( \sf \rightarrow \: \frac{ - 3 \: }{ \:7} - \frac{7}{8} \)

\( \sf \rightarrow \: \frac{( - 3) \times 8}{(7) \times 8} - \frac{(7) \times 7}{(8) \times 7} \)

\( \sf \rightarrow \: \frac{ - 24 \: }{ \: 56} - \frac{49}{56} \)

\( \sf \rightarrow \: \frac{( - 24 \: - \: 49)}{56} \)

\( \sf \rightarrow \: \frac{ - 73 \: }{ \: 56} \)

Hence, answer is -73/56.

Answer:

Step-by-step explanation:

From the question, a water glass can hold 2/9 of a litre of water, to know the number of glasses of water that can be filled with a 3-litres bottle, the following steps are crucial;

1 water of glass = 2/9 litre of water

x = 3 litre of water

cross multiplying;

2/9 * x = 3*1

2x/9 = 3

2x = 27

Dividing both sides by 2;

2x/2 = 27/2

x = 13 1/2

This means 13 1/2 glasses of water can be filled with a 3-litre bottle.

Answer:

If we have a point (x, y), a reflection across the x-axis converts the point to (x, -y)

While a reflection across the y-axis converts the point to (-x, y)

Then if we apply both of these transformations to our point, the reflection of (x, y) across the x-axis and then across the y-axis is (-x, -y)

Then the reflection of (-4, -6) across these two axes, is:

(- (-4), - (-6)) = (4, 6)

The correct option is B.

Answer:36

Step-by-step explanation:

x2 - 10x + 25 = 0 2x2 - 2x - 5 = 0 x2 - 16x = 36. This problem has been solved!

Answer:

its 11-17/-3+5 to find the slope its y1-y2 over the difference of the c

Answer:

-9/7

Step-by-step

Slope Formula:

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

We can plug in the numbers 7 and -2 for the y and -4 and 3 for x

\(\frac{7-(-2)}{-4-3} =\frac{9}{-7}\)

Answer:

Step-by-step explanation:

yes, the graph passes the vertical line test.

because in x input, you get exactly one output.

Answer:

x=8

Step-by-step explanation:

<3

Answer:

{8,4}     can you mark as brainliest

Answer:

The discount is $20 off or 50% off.

Step-by-step explanation:

It is easy math.

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

The perimeter of the figure with side length of 5 units is 50 units

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

Shape = rectangle

Smaller shapes = squares

Side lengths = 5 units

The perimeter of the figure is calculated as

Perimeter  = Number of visible sides * Side length of the square shape

In this case, we have

Number of visible sides = 10

Substitute the known values in the above equation, so, we have the following representation

Perimeter  = 10 * 5

Evaluate the products

Perimeter  = 50 units

Hence, the perimeter is 50 units

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Answer:

x2-3x-33=x+4

<=> x2-3x-x-33-4=0

<=> x2-4x-37=0

<=> x=2 + square root(41) or 2- square root(41)

The tank has a volume of 175 liters

Fun fact: it would take 7.43*10¹⁸ tanks that size to fill all the oceans in the world.

a) Using the convertion 1 liter = 1.0*10⁻¹²km³ you have to rewrite the size of the tank.

For this you have to use cross multiplication:

1 Lts = 1.0*10⁻¹²

175Lts=x

The volume of the tank is equal to 1.75*10⁻¹⁰ km³

b)

You know that one tank has a volume of 1.75*10⁻¹⁰ km³

To know what volume would 7.43*10¹⁸ tanks of the same size have, multiply the volume of one tank by the number of tanks.

Using the fun fact, the determined volume of all oceans in the world is 1300250000km³

The factors of x² - 9 is +3 , -3.

What is factors ?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them. Factors can be found using either division or multiplication.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics.

The numbers that can divide a number exactly are called factors. There is therefore no residual after division. The numbers you multiply together to obtain another number are called factors. A factor is therefore another number's divisor.

x² - 9 = 0

x² = 9

x = √9

x = ± 3

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