f(x) = 2x^2 + 6x – 4
g(x) = 5x^3 – 6x^2-3

Find (f +g)(x).

ANSWER:

distance when starting her walk/ when time is 0

Step-by-step explanation:

y axis will be distance and x intercept is the point where y is 0

so represents when distance is 0.

Answer:

the time it takes to walk from her house to school

Step-by-step explanation:

Answer:

1.7

Step-by-step explanation:

2.5÷1.5

5/3

1.66666

1.7

The divisions of 2.5 divided by 1.5 gives to 5/3 or 1.6667.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2.5 divided by 1.5

So, 2.5 / 1.5

= 25 x 10 / 15 x 10

= 25/15

= 5 x 5 / 5 x 3

= 5/3

Hence, the divisions results to 5/3 or 1.6667

Learn more about Division here:

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Answer:

90°

Step-by-step explanation:

angle on a straight line=180 and half of 180=90°

Answer:

67.5°

Step-by-step explanation:

You know the long hand would be at number 9 and you also know that from the number 6 to 9 it would be 90°. Between each number, there are also 5 smaller marks on the clock. Thus, for 90°, there would be 5×3=15 smaller marks. (I used 3 because between 6 and 9 there are 3 big numbers)

Now here's the trickier part: There are 60 minutes within 5 small marks. We can find out at which mark does the shorter hand move to at 45 minutes.

[tex]\frac{45}{60}[/tex]×5 = 3.75

Out of the 15 smaller marks of 90°, the 45th minute stands at 3.75. The angle of 3.75 would then be between the 15th mark and the 3.75th mark. The gap would be 15-3.75 = 11.25 marks.

[tex]\frac{11.25}{15}[/tex] ×90° = 67.5°

You can refer to the picture for better visualisation of the clock. Hope this helps.

Answer:

0.72

Step-by-step explanation:

it doesn't exist

x = 307. Hope that helped :)

Answer:The LCM of 4, 8 and 12 is 24.

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

Answer: x = 16

Step-by-step explanation: The y values keep going up by multiplying 2. 2x2=4, 4x2=8, so 8x2=16.

To plot the points just put the point coordinated with the x values and y values.

Answer:

Step-by-step explanation:

3/4=15/20  are proportions

For every 3 you get a 4

So 5*3= 15 and 5*4=20

25/10 = 5//2 is another one.

Answer:

25/10 = 5/2

3/4 =15/20

Step-by-step explanation:

Answer:

Step-by-step explanation:

hi

Answer:

B

Step-by-step explanation:

The measure of x is 115° from the given parallel lines. Therefore, option D is the correct answer.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Let the interior alternate angle to 65° be y.

Now, y=65°  (Alternate interior angles are equal)

Here, y°+x°=180° (Adjacent angles)

65°+x°=180°

x°=115°

Therefore, option D is the correct answer.

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Answer:

(C / n) + 2

Step-by-step explanation:

Amount spent (C) = 42

Number of friends (n) = 6

Coupon on ticket = $2

Original price of ticket will be :

Cost per coupon ticket = (Total amount spent / number of friends)

(Total amount spent / number of friends) + coupon on ticket

= (C / n) + 2

= (42 /6) + 2

= 7 + 2

= 9

Answer:

im pretty sure its a

Step-by-step explanation:

Answer:

..........

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

If y is 20 when x is 5 then x is always 1/4 of y

60*(1/4)=15

Answer:

1. 4

2. 20

3. 80

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

since there are 3 zeroes in 1,000

x is 10

because 10^3=1000

Answer:

10

Step-by-step explanation:

Answer:

Equation: (5x + 20) + (3x - 30) + (2x + 10) + 8x = 360

x = 20

Angle B = 30°

Step-by-step explanation:

Given:

<A = 5x + 20

<B = 3x - 30

<C = 2x + 10

<D = 8x

Sum of interior angles of a quadrilateral = 360°

Therefore:

<A + <B + <C + <D = 360°

(5x + 20) + (3x - 30) + (2x + 10) + 8x = 360

Solve for x

5x + 20 + 3x - 30 + 2x + 10 + 8x = 360

Collect like terms

5x + 3x + 2x + 8x + 20 - 30 + 10 = 360

18x = 360

Divide both sides by 18

x = 360/18

x = 20

<B = 3x - 30

Plug in the value of x

<B = 3(20) - 30 = 60 - 30

<B = 30°

Answer:

2°

Step-by-step explanation:

Since, angles A and B are complementary.

Therefore,

[tex] m\angle A + m\angle B = 90\degree \\\\

(4x +40)\degree + (x-10)\degree = 90\degree \\\\

(4x+x +40-10)\degree = 90\degree \\\\

(5x +30)\degree = 90\degree \\\\

5x + 30= 90\\\\

5x = 90 - 30\\\\

5x = 60\\\\

x = \frac{60}{5}\\\\

x = 12\\\\

m\angle B = (x-10)\degree \\\\

m\angle B = (112-10)\degree \\\\

m\angle B = 2\degree \\\\[/tex]

Answer:

(-2, 6)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

4x - 2y = -20

7x + 2y = -2

Step 2: Rewrite systems

4x - 2y = -20

Step 3: Redefine systems

x = 1/2y - 5

7x + 2y = -2

Step 4: Solve for y

Substitution

Step 5: Solve for x

Step 6: Graph systems

Check the system.

Answer:

The average speed of the car is 90 km/h

Step-by-step explanation:

The rule of the distance id D = v × t, where

∵ A car can travel 450 km in the same time it takes a train to travel

   350 km

→ That means the time of them are equals

∴ Time of the car = Time of the train

→ From the rule above t = [tex]\frac{D}{v}[/tex]

∵ D(car) = 450 km and D(train) = 350 km

∵ The car's average speed is 20 km/h faster than the average speed

   of the train

→ Assume that the average speed of the train is x km/h

∴ v(train) = x km/h and v(car) = (x + 20) km/h

→ Use the rule of the time above to find the time of each one

∵ t(car) = [tex]\frac{450}{(x+20)}[/tex]

∵ t(train) = [tex]\frac{350}{x}[/tex]

∵ t(car) = t(train)

∴ [tex]\frac{450}{(x+20)}[/tex] =  [tex]\frac{350}{x}[/tex]

→ By using cross multiplication

∵ 450 × x = 350 × (x + 20)

∴ 450x = 350(x) + 350(20)

∴ 450x = 350x + 7000

→ Subtract 350x from both sides

∴ 100x = 7000

→ Divide both sides by 100 to find x

∴ x = 70

∵ x represents the average speed of the train

∴ The average speed of the train = 70 km/h

∵ The average speed of the car = x + 20

∴ The average speed of the car = 70 + 20

∴ The average speed of the car = 90 km/h

Answer:

BRUH THIS WAS ON MY TEST AND BRUH HONESTLY I HAVE NO CLUEE

Answer:

A

Step-by-step explanation:

Answer:

112

the answer is 112 :)))))

Answer:

-2

or

-2/1

Explanation:

**Slope = rise/run**

By counting the distance between the points, from (0,3) to (1,1) , it went down 2 units and right by 1 unit

Answer:

m= -2

Step-by-step explanation:

Pick two points and subtract the y coordinates, then subtract the x coordinates, (0,3) and (1,1)  or (1,1) and (2,-1)

[tex]m = \frac{y_{2_ } - y_{1} }{x_{2} -x_{1} } = \frac{1-3}{1-0} = \frac{-2}{1} = -2[/tex]      [tex]\frac{-1-1}{2-1} = \frac{-2}{1} = -2[/tex]

Answer:

Um so then what is the question???

Step-by-step explanation:

Answer:

`She grew 5.75?

Step-by-step explanation:

I don't really know what the full question is, but if I saw that in a test and nothing else than I would put what the answer says lol

Answer:

t = 8/5

Step-by-step explanation:

I'm assuming the equation given is the velocity of the particle

Derive the equation

[tex]5t^4 - 8t^3[/tex]

Set it equal to 0 & solve for t

[tex]0 = 5t^4 - 8t^3\\8t^3 = 5t^4\\8 = 5t\\\frac{8}{5} = t[/tex]

The value of time at which acceleration is zero is required.

The required value of [tex]t=1.2\ \text{s}[/tex]

The function of motion is

[tex]s=(t)^5-2t^4[/tex]

Differentiating with time we get velocity

[tex]s'=5t^4-8t^3[/tex]

Again differentiating with time we get acceleration

[tex]s''=20t^3-24t^2[/tex]

Now acceleration [tex]s''=0[/tex]

[tex]0=20t^3-24t^2\\\Rightarrow 20t^3=24t^2\\\Rightarrow t=\dfrac{24}{20}\\\Rightarrow t=1.2\ \text{s}[/tex]

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Answer:

About 0.95

Step-by-step explanation:

Answer:

0.9514859136

Step-by-step explanation: I use calculator lol

Answer:

9 boys 9 girls

Step-by-step explanation:

18 = 2x

9

Answer:

Step-by-step explanation:

Simplifying

-14 + 1 = rt + -4n

Combine like terms: -14 + 1 = -13

-13 = rt + -4n

Reorder the terms:

-13 = -4n + rt

Solving

-13 = -4n + rt

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '4n' to each side of the equation.

-13 + 4n = -4n + 4n + rt

Combine like terms: -4n + 4n = 0

-13 + 4n = 0 + rt

-13 + 4n = rt

Add '13' to each side of the equation.

-13 + 13 + 4n = 13 + rt

Combine like terms: -13 + 13 = 0

0 + 4n = 13 + rt

4n = 13 + rt

Divide each side by '4'.

n = 3.25 + 0.25rt

Simplifying

n = 3.25 + 0.25rt

Answer:

n = [tex]\frac{rt-q}{-10}[/tex]

Step-by-step explanation:

your equation is -14n+q = rt-4n

subtract q from both sides: -14n = rt - 4n - q

add 4n to both sides: -10n = rt - q

divide both sides by -10: n = [tex]\frac{rt-q}{-10}[/tex]