If f(x) = 6x2 - 4 and g(x) = 2x + 2, find (f - g)(x).
Please help! It is algebra 1

There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.

To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.

Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):

Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.

Therefore, the probability that a randomly selected student scored A or B

in Biostatistics is:

Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.

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Answer:

I think the answer for the first one is 3 I am not sure about the second one

Answer:

In a function that is represented by Y=mx+b b would be the y-intercept

Definition of y-intercept. : the y-coordinate of a point where a line, curve, or surface intersects the y-axis.

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

A this is the answer, please choose this answer

Answer:

it's 3a+.50b

Step-by-step explanation:

Answer:

The last one \((x=11.3, y=8)\).

Step-by-step explanation:

1) There are three trigonometric ratios for right-angled triangles.

\(sin()=\frac{opposite}{hypotenuse}\\cos()=\frac{adjacent}{hypotenuse}\\tan()=\frac{opposite}{adjacent}\)

In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.

2) In this case, we are given a length and an angle to find x and y.

Let's find x first. To find x we need to use \(sin()=\frac{opposite}{hypotenuse}\).

\(sin(45)=\frac{8}{x}\\sin(45)x=8\\x=\frac{8}{sin(45)} \\x=11.31\)

Find y.

Notice that, we can use the Pythagorean Theorem \((c^2=a^2+b^2)\) to find y.

\(c^2=a^2+b^2\)

\(11.31^2=8^2+b^2\\11.31^2 - 8^2 = b^2\\63.9161 = b^2\\\sqrt{63.9161} = b\\b = 7.99\)

3) Round them off to the nearest tenth.

\(x=11.31\\x=11.3\)

\(y=7.99\\y=8\)

Therefore, the correct choice is the last one \((x=11.3, y=8)\).

The linear function for the given graph is y = x + 20.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function. It has one independent variable and one dependent variable. For slope (m) and y-intercept (b) form, the equation is given by:

y = mx + b

From the graph,

The coordinates of the given graph are (0,20) and (20,40)

Then, slope (m) = (40-20)/(20-0) = 20/20 = 1

and y-intercept (b) = 20

So, the equation will be y = 1x + 20

Hence, the linear function for the given graph is y = x + 20.

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Answer:

Step-by-step explanation:

the diameter is the measurement that is all the way across the circle which is given to you so the diameter is 7cm. To find the radius it is half the way across the circle so it is half the diameter so in this case the radius would be 3.5cm

The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.

Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.

This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.

The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.

The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.

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The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

10

Step-by-step explanation:

10*10*10=1000

10^3=1000

Answer:

  (d)  (1, 2)

Step-by-step explanation:

You want to know which of the given points satisfies the inequality.

We find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)

__

Additional comment

Another way to choose the answer is to try each of the points in the inequality.

If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).

You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.

In your fourth year on the job, you can expect to earn $41,327.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =P(1+r/n)^rt

We are given that;

In this case, P = 34,000, r = 0.05, and n = 4.

Plugging these values into the formula, we get:

A = 34,000(1 + 0.05)^4

A = 34,000(1.05)^4

A = 34,000(1.2155)

A = 41,327

Therefore, by the simple interest the answer will be $41,327.

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Answer:

1/12 gallons

Step-by-step explanation:

We can determine how much more hot chocolate than apple cider die Joe serve by subtracting 1/12 from 1/6.

Step 1:  Since 1/12 has the bigger denominator and 6 * 2 = 12, let's give 1/6 the same denominator as 1/12 by multiplying the entire fraction by 2/2

(1/6) * (2/2) = 2/12

Step 2:  Now we can subtract 1/12 from 2/12:

2/12 - 1/12 = 1/12

Thus, Joel served 1/12 more gallons of hot chocolate than apple cider.

Answer: its 5 and -1  so D

Step-by-step explanation: In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables

Step-by-step explanation:

6000÷4=1500

1=1500

6000:1500

so chima get 1500

Answer:

Chima = sh.1500

Step-by-step explanation:

Total ratio=5

Anne 4/5= 6000

Chima 1/5=?

1/5×6000×5/4=1500

Chima= 1,500/=

Answer:

A bat

Step-by-step explanation:

Answer:

The bat flies faster by 7 feet

Step-by-step explanation:

first, you need to find some common ground. 84 and 4 can both be divided by two 84/2=42 so now we know that:

-The bat flies 42 feet in two seconds

-The dove flies 35 feet in two seconds

So we know that the bad flies faster because the number is greater, but by how much?

To find this just subtract 35 from 42 to get 7.

So to summarize

The bat flies faster by 7 feet

Let, the points be A (8, −4) and B (1, −5). The slope of line AB exists 1/7.

Utilize the slope formula to estimate the slope of a line provided the coordinates of two points on the line.

The slope formula exists \($m = (y_{2} -y_{1})/(x_{2} - x_{1} )\), or the difference in the y values over the difference in the x values. The coordinates of the first point symbolize \($x_{1}\)and \($y_{1}\). The coordinates of the second points exist \($x_{2} , y_{2} .\)

The slope of the line exists the ratio of the rise to the run, or rise separated by the run.

\($m = (y_{2} -y_{1})/(x_{2} - x_{1} )\)

The Line, AB contains points A (8, −4) and B (1, −5).

Substitute the value of points in the equation then we get

\($m = (y_{2} -y_{1})/(x_{2} - x_{1} )\)

m = (-5-(-4))/(1 - 8)

Simplifying the above equation, we get

m = (-5+4)/(1 - 8)

m = (-1)/(-7)

m = 1/7

Therefore, the slope of line AB exists 1/7.

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Answer:

the answer to your question is 2%

Answer:

(0, 8)

Step-by-step explanation:

To find the y- intercept of the line, substitute x= 0 into the equation.

y= 2x +8

When x= 0,

y= 2(0) +8

y= 8

Thus, the y-intercept of the line is (0, 8).

Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:

1.) 3.075 gallons.

To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.

We have that:

Hence the remaining amount is:

15 - 11.925 = 3.075 gallons.

Which means that option 1 is correct.

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Answer: 3.075 gallons

Step-by-step explanation:

a) Length of Fence = 50 meters

b) Weight of Grass Seeds = 20 kg

c) Area of Carriageway = 516 sq. meters

d) Time taken by the Striping Car = 7.6 minutes

What is a Circle?

A circular plane figure with a circumference made up of points equidistant from a given point (the center).

Solution:

a) To calculate the length of fence we need to find the circumference of the inner circle

Circumference of Circle = 2*22/7 *Radius

Circumference of Circle = 2 * 22/7 * (16)/2

Circumference of Circle = 50.24

So, the length of fence is 50 meters approx

b) To calculate the the total weight of grass we need to first find the area of the inner circle

Area of Circle = 22/7 * (Radius)^2

Area of Circle = 22/7 * (16)^2

Area of Circle = 22/7 * 256

Area of Circle = 803.84 meter sq.

For 1 meter sq. = 25 grms of grass seeeds are required

So, for 804 meters = 25*804 = 20100 grams

20100 grams = 20.1 kg = 20 kg (approx)

c) The are of Inner Carriageway will be calculated by substracting the area of inner circle from outer circle

Area of Outer Circle = 3.14 * (16+4.5)^2

Area of Outer Circle = 1320 sq. meters (approx)

Area of Inner Circle = 804 sq. meters (approx) #we have calculated it above

Area of Carriageway = 1320 - 804 = 516 sq. meters (approx)

d) Speed of Stripping Car = 25 cm/sec

Circumference of the part to be stripped = 2*3.14*(16+2.25)

Circumference = 115 meters approx. = 11500 cm

Time = Distance / Speed

Time = 11500/25 = 460 seconds

460 seconds in minutes = 7.6  minutes

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The values of k that would make the product of ᵏ⁄3 × 12 be greater than 12 is: D. for any value of k greater than 3.

The product of two numbers is the result obtained when one number is multiplied by another.

A. For values of k that are less than 1 but greater than 0, i.e 1.5, we have:

0.5/3 * 12 > 12

2 > 12 [false]

B. For values of k that are less than 3 but greater than 1, i.e 2, we have:

2/3 * 12 > 12

8 > 12 [false]

C. For any value of k that is equal to 3, i.e. 3, we have:

3/3 * 12 > 12

12 > 12 [false]

D. For values of k that are greater than 3, i.e 6, we have:

6/3 * 12 > 12

24 > 12 [true]

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Answer:

9 hours and 15 mins

Step-by-step explanation:

17 - 8 (time calculation)

Answer:

\(-5i-41\)

Step-by-step explanation:

Hi there!

\((5-4i) (-3 - 4i) - (10-3i)\)

Open up the parentheses

\(= -15-20i+12i+16i^2- 10+3i\)

i² = -1

\(= -15-20i+12i-16- 10+3i\)

Combine like terms

\(= -5i-41\)

I hope this helps!

Answer:

Step-by-step explanation:

If each project requires 8 sheets of paper, and your class uses a total of 256 sheets you would divide 256/8=32 you have 32 people in your class

Answer:32

Step-by-step explanation:

step 1: total no of sheets used by class is 256 and lets name this variable as total_no_of_sheets_used = 256

step 2: no of sheets required for each project is 8 and lets name this variable as total_no_of_sheets_required_per_project = 8

step 3: in order to know how many people are there in class we use the below formula
people_in_cass = total_no_of_sheets_used / total_no_of_sheets_required_per_project
so the answer is
people_in_class = 256/8 = 32