if f (x) = 3x + 5/x , what is f(a+2)?

Answer:

Distance between A and C = 16km

Bearing of A from C = 257°

Step-by-step explanation:

please see photo for detailed analysis

Answer:

A

Step-by-step explanation:

she worked a total of 34 hours , then

x + y = 34

earnings are $10 per hour babysitting , that is 10x for x hours

$15 per hour for yardwork, that is 15y for y hours

she made a total of $410 , then

10x + 15y = 410

system of equations is

x + y = 34

10x + 15y = 410

Answer:

To solve the answer, you can do it in 2 ways:

1) you could take the square root on both sides and solve for x

OR

2)you could multiply 3x-5 times itself and subtract 19 on both sides and use the grouping or quadratic formula method to find x.

Hope it helps.

Answer:

a. 700

b. 1000

c. 80

d. 700

e.

Answer:

x =83

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

x+43 = 126

Subtract 43 from each side

x = 126 -43

x =83

Let's take this problem step by step:

For the angle adjacent to the exterior angle of 126°:

  ⇒ exterior angle plus the that angle is equal to 180 degrees

      ⇒ since it is on a straight line

                 [tex]126 + that_.angle=180\\\rm \hookrightarrow that.angle=180-126\\\rm \hookrightarrow that.angle=54[/tex]

The sum of all the angles in a triangle is: 180°

                [tex]that.angle+43+x=180\\\rm \hookrightarrow 54+43+x=180\\\rm \hookrightarrow 97+x=180\\\rm \hookrightarrowx=83[/tex]

The size of angle x is 83°

Answer: 83°

Hope that helps!

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The numeric values of the given expressions are given as follows:

1) 2.

2) -3.

We find the numeric value of an expression replacing all instances of x by the number.

The expression 1 is:

3 + x + (-7) = 3 + x - 7 = x - 4.

When x = 6, the value is:

x - 4 = 6 - 4 = 2.

The expression 2 is:

x + (-5) + 5 = x - 5 + 5 = x.

Hence, when x = -3, the value is:

x = -3.

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The range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.

A range refers to the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range is the solution set on the y-axis.

Based on the graph of the two points, we can logically deduce the following information:

Therefore, the range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.

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Answer:

100,58 meters

Step-by-step explanation:

You add 5,853 plus 4,205 to get 100,58 Meters. You add the number below and above sea water tog et the total height of the mountain.

Answer:

Mouna Kea is 10,058 meters high

Step-by-step explanation:

in order to calculate the whole height of the Mouna Kea you will need to add the base to the summit.

5,853 +4,205 = 10,058

Answer:34.96 (answer to what is her purchase price before tax)

Step-by-step explanation:38*(1-.08)

The equation of the circle is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16

From the question, we are to determine the equation of the circle

The equation of circle is given by

(x - h)² + (y - k)² = r²

Where (h, k) is the center

and r is the radius

From the given information,

The two circles are concentric

∴ (h , k) = (4, 6)

But the other circle has a radius that is twice as large

∴ r = 2 × 2

r = 4

Thus,

The equation of the circle becomes

(x - 4)² + (y - 6)² = 4²

(x - 4)² + (y - 6)² = 16

Hence, the equation which represents a circle that is concentric with the circle shown but has a radius that is twice as large is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16

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There were 144 students when the contest began

Equation is formed when an algebraic expression is equated by a constant or another algebraic expression.

On the basis of given data :

Let the total number of students are x

50% of the students are eliminated after the first round

the remaining students are 0.5x

After the second round = (1/3) * 0.5 x were remaining

and

(1/3) * 0.5 x = 24

then solving this equation will give the total number of students

0.5x = 24 * 3

x = 24*3 /0.5 = 144

Therefore there were 144 students when the contest began

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Answer:

multiply 2×3 to get 6and then multiply 6×4 to get 24

Answer:

Multiply 3 × 4 to get 12 and then multiply 12 × 2.

Multiply 2 × 3 to get 6 and then multiply 6 × 4.

Explanation:

Original Answer : 2 × 3 × 4 = 24

1) 12 × 6 = 72

2) 6 × 12 = 72

3) 12 × 2 = 24

4) 6 × 4 = 24

5) 6 × 12 = 72

Hence, only option 3 and 4 is correct.

The height of the volume of the container is 93.898cm.

We have given that,

An oatmeal container has a volume of 269 cubic inches.

Volume=269 cubic inches.

Radius=3cm

[tex]V=\pi r^2h[/tex]

[tex]269=\pi (3)^2h\\\269=9\pi h\\\h=\frac{269\pi }{9}\h=93.89871[/tex]

The height of the volume of the container is 93.898cm.

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Answer:

Step-by-step explanation:

basically all you do is

Answer:

[tex]\huge\boxed{E.\ 5^{4+x}}[/tex]

Step-by-step explanation:

Use:

[tex]a^n\cdot a^m=a^{n+m}[/tex]

[tex]5^4\cdot5^x=5^{4+x}[/tex]

Answer:

function

Step-by-step explanation:

The graph shows a function since it passes the vertical line test.

Answer:

A - [tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{15} = \sqrt{5} *\sqrt{3} \\\frac{\sqrt{5} *\sqrt{3}}{3*\sqrt{3}} = \frac{\sqrt{5}}{3}[/tex]

Answer: √5/3

Step-by-step explanation:

Answer:

1) n = 5n - 7900

2) 1580

Step-by-step explanation:

first one you just set up an equation and second one you set up a different equation and solve for N ( I divided n by 5 to get the answer)

Answer:

1.8 hrs

Step-by-step explanation:

1.2 hr = 20 km/hr

A hr = 30 km/hr

(cross multiply)

30 x 1.2 = 20 x A

(30 x 1.2) / 20 = A

on simplifying...

1.8 = A

Therefore, it takes 1.8 hrs to travel 30 km/hr

[this is totally my method]

Using translation concepts, it is found that the graph of function g if g(x) = f(x) − 11 is a shift down of 11 units of function f(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we have that g(x) = f(x) − 11 represents a shift down of 11 units of function f(x).

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Answer:

4:1

Step-by-step explanation

this should be the answer from how  u gave the question, also can i get brainliest ;)

Ria will not arrive before half past four because in total the activities that she did will take her at leat three hours and forty-five minutes.

The time can be determined by using the graph. In the graph, the time is represented by small squares. Each of this squares will be equivalent to 15 minutes.

You can infer this because Rita first drove for 30 minutes and in the graph the line goes from 0 in the x axis to two squares to the right (30/2 = 15 minutes.)

If she started this activities at 13:00 so she will go back home at 4:45.

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Answer:

B and D

Step-by-step explanation:

First take the equation and subtract 19 on both sides. You get x^2+8x-20=0

using the quadratic formula you get x= (-8 + or - root (8^2 -4(1)(-20)))/ 2(1)

simplify it and you get x= (-8 +or- 12) / 2  

Separate the equation into two and you get (-8 + 12) / 2    and (-8 - 12) / 2

first one gives: 4/2=2

second gives -20/2=-10

answer x=-10,2

Answer:

y = -x

Step-by-step explanation:

Breaking down the equation

[tex]y=e^x-x[/tex] can be written as [tex]y=e^x + (-x)[/tex], making it more clear that this function is composed of two functions:

asymptotes of the parts

The regular exponential function normally has an asymptote at y=0, a horizontal line because as "x" gets more and more negative, e^(x) gets closer and closer to zero (see blue graph).  This asymptotic behavior perhaps can be more easily understood by recognizing that [tex]e^{-x}[/tex] is equivalent to [tex]\dfrac{1}{e^x}[/tex], so that as the x values get more and more negative, it is effectively dividing 1 by a larger and larger number, thus getting closer and closer to zero.

In this situation, that exponential function is added to "-x", which is a linear function with a slope of negative 1.

As the left end of the exponential function gets closer and closer to zero, the exponential part contributes almost nothing to the sum, whereas as the "x" gets more and more negative, the linear function "-x" gets more and more positive (linearly).  Since the exponential piece adds almost nothing to it (when moving to the left), the combined function is essentially "-x" (although it is ever so slightly greater than it, just as it was ever so slightly greater than zero) (see pink graph, with dashed asymptote).

Clarifications

To be clear, on the right side of the graph, the exponential part of the function completely overwhelms the linear piece, and the function behaves much more like an exponential function, nearly completely masking the behavior of the linear piece.  Since an exponential function is unbounded, and the domain of both the exponential and linear functions are all real numbers, on the right side of the graph, there is no asymptotic behavior.

Using a system of equations, it is found that Wilma is 50 years old and Yvonne is 10 years old.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Wilma is 5 times as old as yvonne, hence:

x = 5y.

In ten years, yvonne's age will be a third of wilma's age, hence:

[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]

Since x = 5y:

[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]

[tex]y + 10 = \frac{1}{3}(5y + 10)[/tex]

3y + 30 = 5y + 10

2y = 20.

y = 10.

Then:

x = 5y = 5 x 10 = 50.

Wilma is 50 years old and Yvonne is 10 years old.

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Answer:

b. y= 4x-34.

Step-by-step explanation:

We can use the information in the problem to make an equation in slope-intercept form (y=mx+b).

Steepness typically means the slope of the graph, thus m=4.
This means we can automatically cross out "a" and "c", which leaves us with "b" and "d" as possible answers.

Next, I will plug in the given point (8, -2) into "b" and "d".
b. y=4x-34
-2=4(8)-34
-2=32-34

d. y=4x+34
-2=4(8)+34
-2 does not equal 66

Thus, the answer is b. y= 4x-34.

The conclusions are:

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list

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

Given:

Data A:

0 - 10     4

10 - 20   13

20 - 30  19

30 - 40   8

40 - 50   5

50 - 60   1

Data B:

0-10  12

10-20  20

20-30  14

30-40  3

40-50  1

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The median number of cars for both distributions lies in the 20–30 interval and there were more than 40 cars in line more often on the weekend then the weekday.

The arithmetic mean is found by adding the numbers and dividing the sum by the number of data in the list.

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

Given data:

Data A:

0 - 10           4

10 - 20        13

20 - 30       19

30 - 40        8

40 - 50        5

50 - 60        1

Data B:

0-10           12

10-20        20

20-30        14

30-40         3

40-50         1

Thus, the median number of cars for both distributions lies in the 20–30 interval and there were more than 40 cars in line more often on the weekend then the weekday.

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Answer:

Con qué necesitas ayuda?

Step-by-step explanation: