Evaluate f(x) = 16 for the function f(x) = 2(x - 4) + 12. a. X=6 B. X= -6 C. X=36 D. X=-36

Answer:

Step-by-step explanation:

The question may be answered easily by first determining how far we would ride the bike in 1 hour. Riding the bike 12 mph (miles per hour) for one hour, we would ride the bike 12 miles.

Since 20 minutes is 1/3 of a hour, divide 12 by 3 to find out how far the biker traveled in 1/3 of the time:4 miles. that is the answer and the steps!!

Answer:

10mph

keeping it short so you can ace your quiz :D

if this helps you, it would help me a lot if you could mark this as brainliest :)

The value of the function operation f - g(x) is 3x² + x

Function operations refer to mathematical operations that can be performed on functions, such as addition, subtraction, multiplication, and composition.

Addition and subtraction of functions:

A function can be added or subtracted with another function if both of them have the same domain. The result is a new function with the same domain as the original functions.

Multiplication of functions:

Two functions can be multiplied together to create a new function. The result is a new function whose value at each point in the domain is the product of the original functions' values at that point.

Composition of functions:

Function composition is the application of one function to the result of another function. The result is a new function that is the composition of the original functions. It is represented by (f ∘ g) (x) = f(g(x)) where f and g are the functions being composed.

In this problem, we have two functions which are;

The value of (f - g)(x) = 3x² + x

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Answer:

Scores of students:

Mean: 34.3

Mode: no mode

No. of students:

Mean: 8.3

Mode: no mode

Step-by-step explanation:

(for scores of students)

6, 30, 35, 40, 45, 50

Mean: 6 + 30 + 35 + 40 + 45 + 50 = 206/6 = 34.3

Mode: there are no mode in the set of data.

(for No. of students)

4, 5, 6, 8, 12, 15

Mean: 4 + 5 + 6 + 8 + 12 + 15 = 50/6 = 8.3

Mode: no mode

To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:

7x + 21 = 7x + 35

Subtracting 7x from both sides, we get:

21 = 35

This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.

However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.

Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:

7(5 - 3) = 14

Therefore, the missing number is 14, which corresponds to answer option B.

The probability that someone who tests positive for opium use actually uses opium is  0.854  .

In the question ,

it is given that , the false positivity rate is 2% .

Let the sample size be of  100 .

11% of the people actually use opium = 100*0.11 = 11.

People who do not use opium = 100 - 11 = 89.

the test for opium has a 2% false positive , that is

= 2% of 89 = 89*0.02 = 1.78

So , the True negative = 89-1.78 = 87.22

the test for opium has a 5% false negative , that is

= 5% of 11 = 11*0.05 = 0.55

So , the True positive = 11-0.55 = 10.45

Probability is calculated by favorable/total.

Total (positive) = true + false = 10.45 + 1.78 = 12.23  .

Favorable (true) = 10.45

Probability is = 10.45/12.23 = 0.854

Therefore , the required probability is 0.854    .

The given question is incomplete , the complete question is

Suppose that a test for opium use has a 2% false positive rate and a 5% false negative rate. that is, 2% of people who do not use opium test positive for opium and 5% of opium users test negative for opium. furthermore, suppose that 11% of people actually use opium.

Find the probability that someone who tests positive for opium use actually uses opium.

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Answer:

2/6

Step-by-step explanation:

There are 2 out of 3 on one half shaded so it is 2/6

Step-by-step explanation:

30 mph is the answer of your qu

Answer:

x+4

Step-by-step explanation:

If you plug in the answer choices (x+4, x-4, x+2, x-2) into (x-1) (insert solution), x+4 gives you x^2+3x-4. :)

Answer:

13x+16

Step-by-step explanation:

3x+7+8x+2x+4+5

13x+7+4+5

13x+16

Answer:

use the tangent function to set up an equation:

tan(70°) = h/100

We can then solve for h by multiplying both sides by 100 and taking the tangent of 70 degrees:

h = 100*tan(70°)

Using a calculator, we get:

h ≈ 315.96 feet

the height of the tower is approximately 315.96 feet.

Hope this helps! :)

In the given graph, the x-intercepts are (2,0) and (6,0).

The axis of symmetry is the vertical line that passes through the vertex. Since the vertex is at (4,-2), the axis of symmetry is the line x = 4.

The interval on which the graph is increasing is (-∞,4), and the interval on which it is decreasing is (4,∞).

The sign of the leading coefficient is positive, since it is 1/2.

To find the equation of the quadratic function, we start by using the vertex form:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex. Plugging in the given vertex (4,-2), we get:

\(y = a(x - 4)^2 - 2\)

Next, we use the other two points to find two additional equations:

\(6 = a(8 - 4)^2 - 2 (plugging in (8,6))\\0 = a(2 - 4)^2 - 2 (plugging in (2,0))\)

Simplifying these equations, we get:

\(6 = 16a - 2\\8a = 4 -- > a = 1/2 \\0 = 4a - 2 \\4a = 2 -- > a = 1/2 \\\)

So the equation of the quadratic function is:

\(y = (1/2)(x - 4)^2 - 2\)

Now, we can answer the questions:

The y-intercept is the point where the graph intersects the y-axis. To find it, we set x = 0 in the equation:

\(y = (1/2)(0 - 4)^2 - 2 = 6\)

So the y-intercept is (0,6).

To find the x-intercepts, we set y = 0 in the equation:

\(0 = (1/2)(x - 4)^2 - 2\)

Simplifying, we get:

\((x - 4)^2 = 4\\ - 4 = \pm 2 \\= 2, 6\)

So the x-intercepts are (2,0) and (6,0).

The axis of symmetry is the vertical line that passes through the vertex. Since the vertex is at (4,-2), the axis of symmetry is the line x = 4.

The interval on which the graph is increasing is (-∞,4), and the interval on which it is decreasing is (4,∞).

The sign of the leading coefficient is positive, since it is 1/2.

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The length of a segment is the distance between its endpoints.

(a) Length of AB

We have:

\(\mathbf{A = (1,2)}\)

\(\mathbf{B = (4,5)}\)

The length of AB is calculated using the following distance formula

\(\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}\)

So, we have:

\(\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}\)

\(\mathbf{AB = \sqrt{18}}\)

Simplify

\(\mathbf{AB = 3\sqrt{2}}\)

(b) Are AB and CD congruent

First, we calculate the length of CD using:

\(\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}\)

Where:

\(\mathbf{C = (2, 4)}\)

\(\mathbf{D = (2, 1)}\)

So, we have:

\(\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}\)

\(\mathbf{CD = \sqrt{9}}\)

\(\mathbf{CD = 3}\)

By comparison

\(\mathbf{CD \ne AB}\)

Hence, AB and CD are not congruent

(c) AB bisects CD or not?

If AB bisects CD, then:

\(\mathbf{AB = \frac 12 \times CD}\)

The above equation is not true, because:

\(\mathbf{3\sqrt 2 \ne \frac 12 \times 3}\)

Hence, AB does not bisect CD

(d) CD bisects AB or not?

If CD bisects AB, then:

\(\mathbf{CD = \frac 12 \times AB}\)

The above equation is not true, because:

\(\mathbf{3 \ne \frac 12 \times 3\sqrt 2}\)

Hence, CD does not bisect AB

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Answer:

It should be $27830 if I'm reading this right.

Step-by-step explanation:

3% of $23000 is $690

$690 * 7 = $4830

$23000 + $4830 = $27830

Answer:

27830

Step-by-step explanation:

3%×7=21%

21%×23000=4830

23000+4830=27830

Answer:

Step-by-step explanation:

The solution is given

\( |6x + 2| - 6 > 8\)

\( |6x + 2| > 8 + 6\)

\( |6x + 2| > 14\)

Now wit will be swprated into two parts

First part

\(6x + 2 > 14 \)

\(6x > 14 - 2\)

\(x > 12 \div 6\)

\(x > 8\)

The second part is

\(6x + 2 > - 14\)

\(6x > - 14 - 2\)

\(x > - 16 \div 6\)

This question has two answers

Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Step-by-step explanation:

so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.

the slope in

y = 2x + 2

is the factor of x : 2 or 2/1

the perpendicular slope is turning this upside down and flips the sign : -1/2

the point- slope form is

y - y1 = a(x - x1)

"a" being the slope, (x1, y1) being the point.

y - 9 = -1/2(x - -2)

y - 9 = (-1/2)x - 1

y = (-1/2)x + 8

Answer:

the two values that are a distance of 5 from 0 are -5 and 5.

Step-by-step explanation:

if you look at a number line, you will see that the number 0 is in the middle. if you count 5 from each side, it's -5 and 5. any other number would have a greater distance than 5 from 0. hope this helps.

The given formula is,

Now solving for x,

Answer:

1. Yes

2. No

3.No

Step-by-step explanation:

Answer:

Bottle 4

Step-by-step explanation:

took the quiz :p

Answer:

Step-by-step explanation:

Answer:

12 and 13

Step-by-step explanation:

12+13= 25

13-12= 1

The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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Answer:

\(y=6(x-8)-2\qquad\text{point-slope form}\)

\(y=6x-50\qquad\text{slope-intercept form}\)

Step-by-step explanation:

The equation of a line can be written in several forms. Two of the most-used forms are the point-slope and the slope-intercept forms.

The point-slope form requires to have one point (xo, yo) through which the line passes and the slope m. The equation expressed in this form is:

\(y=m(x-xo)+yo\)

The slope-intercept form requires to have the slope m and the y-intercept b, or the y-coordinate of the point where the line crosses the y-axis. The equation is:

\(y=mx+b\)

The line considered in the question has a slope m=6 and passes through the point (8,-2). These data is enough to find the point-slope form of the line:

\(\boxed{y=6(x-8)-2\qquad\text{point-slope form}}\)

To find the slope-intercept form, we operate the above equation:

\(y=6x-48-2\)

\(\boxed{y=6x-50\qquad\text{slope-intercept form}}\)

Answer:

1/210 i am pretty sure

Step-by-step explanation: