If f(x)=3x+10x and g(x)= 2x-4, find (f+g)(x)

Answer:

Area: 7, because there are 7 squares.

Perimeter: 14.

Step-by-step explanation:

Answer:

The answer is −2 1/15 or -62/30

Step-by-step explanation:

Answer:

3x+13

Step-by-step explanation:

Perimeter of square = 4 * length

Length = Perimeter/4

Length = (12x + 52)/4

Length = 3x+13

Answer: 25

Step-by-step explanation:

From the question, we are told that a producer of electronic book readers is performing a quality check to make sure that the reader's backlight is working correctly. Then, the plant manager tests 2,000 readers on Monday and finds that 8 have defective backlights. The fraction 1/x is the experimental probability of a book reader having a defective backlight. What is the value of x?

Number of tested readers= 2000

Defective backlight = 8

Probability of having a defective backlight will be the number of defective backlight divided by the number of readers tested. This will be:

= 8/200

We reduce the nice fraction to its lowest term.

8/200 = 1/25

Therefore x will be 25

Answer:

250

Step-by-step explanation:

two thousand divided by eight = 250

2000/8=250

Answer:

TO INFINITY AND BEYOND! No, i'm jk. It's the last one

Step-by-step explanation:

(It's the last one)

Unicode ∞) represents something that is boundless or endless, or else something that is larger than any real or natural number.

Answer:

There are infinitely many solutions

Step-by-step explanation:

As we see these are equal, so overlapping 2 lines. There are infinitely many solutions to the system

Answer:-2

Step-by-step explanation:

Answer:

Cost of bicycle. £403.50

His present savings. £265.90

Amount required. £137.60

Answer:137.6‬0

Step-by-step explanation:

This question is incomplete because it lacks the appropriate options

Complete Question

Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.

Which statement is true about the angles?

a) Measure of angle A = 20 degrees

b) Measure of angle B = 60 degrees

c) Angle A and Angle B are complementary

d) Measure of angle A + measure of angle C = 100 degrees

Answer:

a) Measure of angle A = 20 degrees

Step-by-step explanation:

It is known that the sum of angles in a triangles = 180°

We are given these values in the question

Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.

Therefore,

Angle A + Angle B + Angle C = 180°

2x + 5x + 11x = 180°

18x = 180°

x = 180°/ 18

x = 10°

Finding each of the angles

Angle A = 2x = 2 × 10 = 20°

Angle B = 5x = 5 × 10 = 50°

Angle C = 11x = 11 × 10 = 110°

Therefore, the correct option is:

a) Measure of angle A = 20 degrees

The true statement is required.

The true statement is that [tex]m\angle A=10^{\circ}[/tex]

[tex]\angle A=2x[/tex]

[tex]\angle B=5x[/tex]

[tex]\angle C=11x[/tex]

The sum of the angles in a triangle is [tex]180^{\circ}[/tex]

So

[tex]\angle A+\angle B+\angle C=180\\\Rightarrow 2x+5x+11x=180\\\Rightarrow 18x=180\\\Rightarrow x=\dfrac{180}{18}\\\Rightarrow x=10[/tex]

[tex]\angle A=2x=2\times10\\\Rightarrow \angle A=10^{\circ}[/tex]

The true statement is that [tex]m\angle A=10^{\circ}[/tex]

Learn more:

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Answer:

Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

7-24-25

7² + 24² = 25²

49 + 576 = 625

625 = 625

9-40-41

9² + 40² = 41²

81 + 1600 = 1681

1681 = 1681

Answer: See Explanation

Step-by-step explanation:

Pythagoras' theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex].

So [tex]7^{2}[/tex] (49) + [tex]24^{2}[/tex] (576) = [tex]25^{2}[/tex] (625)

Same goes for the other one. It is always the smallest number squared (smallest side of triangle) + the middle number squared (middle length side of triangle, = the biggest side/number squared.

Answer:

x > -1

x < -1

Step-by-step explanation:

5x - 29 > - 34

5x > - 34 + 29

5x > -5

x > -1

2x + 31 < 29

2x < 29 - 31

2x <  -2

x < -1

The answer would be

81.5%

[tex]\displaystyle\bf\\g^{2x+1}=g^{3x-2}\\\\g=g\\\\3x-2=2x+1\\\\3x-2x=1+2\\\\\boxed{\bf x=3}[/tex]

Answer:

x^2 /(x^2 -36)

Step-by-step explanation:

x/(x-6) ÷ (x+6) /x

Copy dot flip

x/(x-6) * x/(x+6)

x^2/ ( x-6)(x+6)

This is the difference of squares( a-b)(a+b) = a^2 -b^2

x^2 /(x^2 -36)

Answer:

The answer is A.

Step-by-step explanation: how Is you cross-multiply the answer you (x^2)/X^2/-36

work :X*X=X^2

X*X=X^2

6*6=36=

X^2/X^2-36

Answer:

x = [tex]\sqrt{x+6}[/tex]

Step-by-step explanation:

The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).

Answer:

14 and 6

Step-by-step explanation:

Let's start by naming the first number x.

We can name the second number y.

We can set up equations to model our situation.

x+y=2x-8

x-y=2y-4

Let's simplify the equations.

x+y=2x-8

Subtract 2x from both sides

-x+y=-8

__________

x-y=2y-4

Subtract 2y from both sides.

x-3y=-4

Add the two equations together to eliminate x.

x-3y=-4

-x+y=-8

________

0x-2y=-12

-2y=-12

Divide both sides by -2.

y=6

The second number is 6.

Plug that back in.

x+6=2x-8

Subtract x from both sides

6=x-8

Add 8 to both sides

x=14

The first number is 14

Answer:

racheal

Step-by-step explanation:

Answer: i hope this helps (answer is down below)

Step-by-step explanation:

Area goes to square meters

speed goes to meters per second

volume goes to cubic centimetres

perimeter goes to meters

Answer:

[tex]4(x-3)[/tex]

Step-by-step explanation:

[tex](x-3)\times 4[/tex]

[tex]4(x-3)[/tex]

[tex]4x-12[/tex]

Answer:

4(x-3)

Step-by-step explanation:

Let the number be x

⇒ Subtracting 3 would make it x-3

After that

⇒ Multiplying 4 would make it 4(x-3)

Answer:

Step-by-step explanation:

[tex]A -of -circle= \pi*r^{2}\\ Note : A -semicircle- is -half -of- a- circle\\Area = \frac{ \pi*r^{2}}{2} \\r = 1\\A =\frac{3.14*1^{2}}{2}\\A = \frac{3.14}{2} \\A = 1.57[/tex]

Answer:

7 is the correct answer

Answer:

false

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Consider the function f ( x ) = 3x^2 + 4;

[tex]f ( x ) = 3x^2 + 4,\\\\4 = vertex ( y - intercept ),\\\\\\[/tex]

Now if this graph were to be translated 7 units down, considering the function was f ( x ) = 3x^2, the new graph would be f ( x ) = 3x^2 - 7. The same concept is applied to the graph f ( x ) = 3x^2 + 4;

[tex]4 - 7 = - 3,\\f ( x ) = 3x^2 - 3\\\\Solution - Option C[/tex]

* Note that a translation doesn't effect the rate with which the graph changes, it only effect's it's position on the coordinate plane

Hope that helps!

Answer:

y = -4/3x - 3

Step-by-step explanation:

Step 1: Find slope

m = (-3-1)/(0+3) = -4/3

Step 2: Find y-intercept

(0, -3)

Step 3: Write in slope-intercept form

y = mx + b

y = -4/3x - 3

Answer:

B: One

Step-by-step explanation:

As shown on the graph, they are intersecting at only one point, so the answer is one. If it was infinite it would be the same line. If it had no solution the lines would be parallel.

Answer:It’s One

Step-by-step explanation: just did it

Answer:

Area is 113.097

Step-by-step explanation:

Answer:

113.10 ft²

Step-by-step explanation:

Area of the circle is equal to πr².

Where r is the radius. The radius of the circle is 6 feet.

π(6)²

36π = 113.097336

The area of the circle is 113.10 ft² approximately.

sorry for this being so long I'm a rush but ask questions pls.

Step-by-step explanation:

The question specifies ranges of possible lengths and masses. The length can vary from about 19.5 millimeters to almost 20.5 millimeters. The mass can vary from about 99.5g to almost 100.5g.

For more about my use of the terms about and almost, and the reason for the “.5” values, see the Notes at the end.

Now:

A smaller object with a given mass will have a higher density;

A larger object with a given mass will have a lower density;

An object of given size with a smaller mass will have a lower density;

An object of given size with a larger mass will have a higher density.

This could be summed up by saying that density varies inversely with size but varies directly with mass.

So the lowest density occurs with the largest length and the smallest mass, while the highest density occurs with the smallest length and the largest mass.

Within the bounds of error, the largest possible length is about 20.4999…mm while the smallest possible mass is 99.5g. So doing the density calculation with these numbers will give the lowest possible density.

Similarly, doing the density with a length of 19.5mm and mass of 100.4999…g will give the largest possible density within the error bounds.

Notes

The first issue is with the term “accurate to the given millimeter”. My interpretation follows the guidelines in Illustrative Mathematics (under Solution) and appears, from the text in that page, to be consistent with the Common Core (which is the way we teach math to kids these days in the U.S.)

In the context of measuring the diameter of a circle, it says:

Juan finds that the circle is 5 cm or 50 mm in diameter. Since the tape measure is accurate to the nearest millimeter, this means that the actual diameter is between 4.95 centimeters and 5.05 centimeters.

There’s a deeper issue associated with rounding. The most common rule is that 0.5 rounds up. Thus the quote above is not quite correct; the actual diameter is between 4.95 centimeters and just less than 5.05, but not 5.05 exactly which would round to 5.1 centimeters.

The example in the linked page probably doesn’t deal with this subtle issue because it’s for kids who have not yet been taught about things like repeating decimals or the conceptual complexity of perfect rounding. I dealt with it by specifying “…” in the values above.

Answer:

D...........................

The flat surface that extends without end in all directions and is named by three points that are not on the same line is known as D. Plane.

A flat form or a shape with two dimensions—length and width—is referred to as a two-dimensional shape. Shapes that are two-dimensional, or 2D, lack thickness.

We can represent all the two-dimensional figures in a plane some of them are, Triangles, Circles, Quadrilaterals, and Polygons.

A plane can also be represented as a surface, It can extend without end in all directions and is named after three points that are not on the same line.

learn more about planes here :

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Answer :

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

(2) [tex]\frac{1}{5x}+\frac{1}{3y}=\frac{3y+5x}{15xy}[/tex]

(3) [tex]\frac{1}{7x}-\frac{1}{2y}=\frac{2y-7x}{14xy}[/tex]

(4) [tex]\frac{2}{5x}+\frac{3}{7y}=\frac{6y+15x}{21xy}[/tex]

(5) [tex]\frac{7}{11x}-\frac{1}{33y}=\frac{231y-11x}{363xy}[/tex]

(6) [tex]\frac{1}{2x}+\frac{3}{x}-\frac{1}{7y}=\frac{7y+42y-2x}{14xy}[/tex]

Step-by-step explanation :

(1) The given expression is: [tex]\frac{1}{x}+\frac{1}{y}[/tex]

[tex]\frac{1}{x}+\frac{1}{y}=\frac{y+x}{xy}[/tex]

(2) The given expression is: [tex]\frac{1}{5x}+\frac{1}{3y}[/tex]

[tex]\frac{1}{5x}+\frac{1}{3y}=\frac{3y+5x}{(5x)\times (3y)}=\frac{3y+5x}{15xy}[/tex]

(3) The given expression is: [tex]\frac{1}{7x}-\frac{1}{2y}[/tex]

[tex]\frac{1}{7x}-\frac{1}{2y}=\frac{2y-7x}{(7x)\times (2y)}=\frac{2y-7x}{14xy}[/tex]

(4) The given expression is: [tex]\frac{2}{5x}+\frac{3}{7y}[/tex]

[tex]\frac{2}{5x}+\frac{3}{7y}=\frac{(2\times 3y)+(3\times 5x)}{(5x)\times (7y)}=\frac{6y+15x}{21xy}[/tex]

(5) The given expression is: [tex]\frac{7}{11x}-\frac{1}{33y}[/tex]

[tex]\frac{7}{11x}-\frac{1}{33y}=\frac{(7\times 33y)-(1\times 11x)}{(11x)\times (33y)}=\frac{231y-11x}{363xy}[/tex]

(6) The given expression is: [tex]\frac{1}{2x}+\frac{3}{x}-\frac{1}{7y}[/tex]

[tex]\frac{1}{2x}+\frac{3}{x}-\frac{1}{7y}=\frac{(x\times 7y)+(3\times 2x\times 7y)-(2x\times x)}{(2x)\times (x)\times (7y)}=\frac{7xy+42xy-2x^2}{14x^2y}=\frac{7y+42y-2x}{14xy}[/tex]