If f(x) = 2x – 6 and g(x) = 3x + 9, find (f+ g)(x).

Answer:

Answer A

Step-by-step explanation:

Approach 1

B, C, and D are wrong because angles 1 and 2 are congruent.

Therefore your answer of both being 60°

Approach 2

Let x = angle 1.

360/x = 6

x = 60°.

Therefore Angle 1 is 60°

An interior angle of a hexagon is 120°

Let y = angle 2.

y is half of 120°

So 120/y = 2

y = 60°

Answer:

-286

Step-by-step explanation:

45(-6)-16

= -270 - 16

= -286

Step-by-step explanation:

45x - 16

x = -6

45(-6) - 16

-270 - 16

-286

Hope this helps! :)

Answer:

138π m²

Step-by-step explanation:

The following data were obtained from the question:

Diameter (d) = 6 m

Height (h) = 20 m

Surface Area (SA) =?

Next, we shall determine the radius. This can be obtained as follow:

Diameter (d) = 6 m

Radius (r) =?

r = d/2

r = 6/2

r = 3 m

Finally, we shall determine the surface area of the cylinder. This can be obtained as follow:

Radius (r) = 3 m

Height (h) = 20 m

Surface Area (SA) =?

SA = 2πrh + 2πr²

SA = 2πr (h + r)

SA = 2 × π × 3 (20 + 3)

SA = 2 × π × 3 × 23

SA = 138π m²

Thus, the surface area is 138π m².

Hey there!

They are both correct, and their expressions are equivalent.'

9(S + T) + 45 = 9S + 9T + 45

Have a terrificly amazing day!

Answer:

8 subtract 1 sides fraction

Answer:

8 subtract 1 sides fraction

Step-by-step explanation:

Answer:

p+6

Step-by-step explanation:

Answer:

I think the figure should be like this according to the question that you post previously.

\((8x - 10) + (6x + 12) + y = 180 \\ 8x - 10 + 6x + 12 + y = 180 \\ 14x + y - 2 = 180 \\ 14x + y = 180 - 2 \\ 14x + y = 178 \\ y = 178 - 14x \\ \)

The answer should be this. But there's no way to find x according to this figure.

Answer:

7 Artichokes

Step-by-step explanation:

To figure this out, we need to find out how much Vitamin C an average adult needs. We set up a proportion.

\(\frac{9}{15} = \frac{x}{100}\)

\(15x=900\)

\(x=60\)

Now, since each artichoke is worth 9 milligrams, we divide 60 by 9.

\(60/9=6.66666...\)

So, to get the necessary amount of Vitamin C, we round up to 7.

Answer:

1

Step-by-step explanation:

This is the answer by definition.

Answer:

1/3

Step-by-step explanation:

The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.

When two lines intersect, then their opposite angles are equal. Then the equation is given as,

m° + 66° + m° = 120°

Simplify the equation for m, then the value of 'm' is calculated as,

m° + 66° + m° = 120°

2m° = 120° - 66°

2m° = 54°

m° = 27°

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Step-by-step explanation:

either you made a typo, or this equation is true for all values of x.

the condition x² > 1 does not change that really.

it only eliminates any values for x between -1 and +1.

so,

-infinity < x < -1 or 1 < x < +infinity

x in (-infinity, -1) or x in (1, +infinity)

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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To solve this problem we need to use the triangle sum theorem. It states that the sum of the interior angles of a triangle is 180. We also know that the sum of the angle m and the unknown interior angle (angle C) is 180. Using this information we can conclude that the sum of the known interior angles (angles A and B) and m are both the same. It means that angle m is the sum of 36 and 90:

The answer is B.

Answer:

$23,465

$4,693

Step-by-step explanation:

To find a percent of a number, multiply the percent by the number.

6.5% of $361,000 = 0.065 × $361,000 = $23,465

20% of $23,465 = 0.2 × $23,425 = $4,693

\( \qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

Let's find the gradient (m) of the shown line ~

The formula that should be used here is ;

\(\boxed{ \boxed{ \sf \dfrac{y_2 - y_1}{ x_2 - x_1}}}\)

Consider two points (0 , 1) and (4 , 2)

\(\qquad \sf \dashrightarrow \: \dfrac{2 - 1}{4 - 0} \)

\(\qquad \sf \dashrightarrow \: \dfrac{1}{4} \)

So, the gradient of given line is :

\(\overbrace{  \underbrace{\underline{ \boxed{ \sf \frac{1}{4} }}}}\)

Answer:

x = 11.8

Step-by-step explanation:

Side a = 11.78983

Side b = 3

Side c = 10

Angle ∠A = 120° = 2.0944 rad = 2/3π

Angle ∠B = 12.731° = 12°43'50" = 0.22219 rad

Angle ∠C = 47.269° = 47°16'10" = 0.82501 rad

The answer for x is 11.8

Answer:

Tommy's age is 9 years old.

Timmy's age is 14 years old.

Step-by-step explanation:

Take Tommy's age to be x and Timmy's age to be x+5

x+x+5=23

2x+5=23

2x=23-5=18

x=18÷2=9

x+5=9+5=14

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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By using trigonometric relations, we will see that the angle that the ladder makes with the ground is 64.2°, so we conclude that the ladder is safe.

Notice that the ladder makes a right triangle with the wall.

Such that the hypotenuse (the ladder itself) measures 15 ft, and one of the catheti (distance between the ground and top of the ladder) measures 13.5ft

If we considerate the angle that the ladder makes with the ground, the known cathetus is the opposite cathetus.

Then we can use the relation:

sin(x) = (opposite cathetus)/(hypotenuse)

Then:

sin(x) = (13.5ft)/(15ft)

If we use the inverse sine function on both sides, we get:

Asin(sin(x)) = Asin( 13.5ft/15ft)

x = Asin(13.5/15) = 64.2°

So the angle is less than 75°, which means that in fact, the ladder is safe.

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Answer:

A. 0.125

Step-by-step explanation:

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

Answer:

yo u don't get wat u saying man

Answer:

It would be 10 months for the price of $320.

Step-by-step explanation:

First we need to find how much Anna's swimming charge and Bobie's charge is.

PA=70+t The price of the month equals to the starting fee and monthly charge

120=70+2t The price of 2 months times the monthly charge

50=2t

25=t           is Anna's monthly charge

PB=250+t   is Bobies starting price and monthly charge

264=250+2t is the month charge for Bobie after 2 months

14=2t

7=t              is Bobie's monthly charge

70+25x=250+7x    We need to find x which is what month will satisfy both equations

25x=180+7x         Subtract 70 from both sides

18x=180                Subtract 7x from both sides

x=10                      divide 18 from both sides

Now we have the months that satisfy both equations we need to find the total price that matches with it. So we plug it back into both equations.

PA=70+25x                                               PB=250+7x

PA=70+25(10)                                            PB=250+7(10)

PA=70+250                                               PB=250+70

PA=320                                                      PB=320

Answer:

x+7x2+3x+2=6x+1+−5x+2

Step-by-step explanation:

Simplify the expression: x+7x2+3x+2=x+7(x+1)(x+2)

The form of the partial fraction decomposition is

x+7(x+1)(x+2)=Ax+1+Bx+2

Write the right-hand side as a single fraction:

x+7(x+1)(x+2)=(x+1)B+(x+2)A(x+1)(x+2)

The denominators are equal, so we require the equality of the numerators:

x+7=(x+1)B+(x+2)A

Expand the right-hand side:

x+7=xA+xB+2A+B

Collect up the like terms:

x+7=x(A+B)+2A+B

The coefficients near the like terms should be equal, so the following system is obtained:

{A+B=12A+B=7

Solving it (for steps, see system of equations calculator), we get that A=6, B=−5

Therefore,

x+7(x+1)(x+2)=6x+1+−5x+2

Answer: x+7x2+3x+2=6x+1+−5x+2