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polet [3.4K]
3 years ago
8

EASY MATH QUESTIONS NEED HELP

Mathematics
2 answers:
Nikitich [7]3 years ago
8 0

Answer:

f(6) = -14

Step-by-step explanation:

x = -6

f(x) = x^2/3 - 2

f(-6) = (-6)^2/3 -2         Replace x with the given number

      = -36/3 - 2            Simplify -6 to the power of 2

      = - 12 - 2                Divide -36 by 3

f(6) = - 14                      Subtract -2 from -12

pashok25 [27]3 years ago
8 0

function is the primary

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. f ( x ) = 9 x 3 + 2 x 2
sladkih [1.3K]

Answer:

2x(2x²+x+1)

Dtep-by-step explanation:

f(x) = 9x³+2x²-5x+4

g(x) = 5x³-7x+4

f(x) - g(x)

= 9x³+2x²-5x+4 - (5x³-7x+4)

= 9x³+2x²-5x+4-5x³+7x-5

= 4x³+2x²+2x

= 2x(2x²+x+1)

3 0
3 years ago
Expression.is of what number? Write a division expression to match this question.
nirvana33 [79]

3/4 is 1/3 of what number?

For this problem we just need to do the following division:

\frac{x}{3}=\frac{3}{4}

And we can solve for the value of x desired and we got multiplying both sides by 3:

x=3(\frac{3}{4})=\frac{9}{4}

So then we can conclude that 3/4 is 1/3 of 9/4

Answer: 9/4

Expression:

\frac{x}{3}=\frac{3}{4}

3 0
1 year ago
The mean of 15 numbers is y.If each of the number is increased by 30, find the increase of the new mean in terms of y.The answer
dusya [7]

Answer:

y+30

Step-by-step explanation:

the sum of the numbers is 15y

the new sum after increase each number by 30 is 15y+450

the new mean 15y+450/15

= y+30

4 0
3 years ago
B)When ABCD is drawn to scale, would
never [62]

Hi there there's several ways this could be proven one way us to consider the allied angle theory where two angles formed between parallel lines are supplementary which in this case can be proven by

2(45)+90=180⁰ ✔

or 3(45)+45=180⁰✔

this would not be the case if it wasn't parallel

Consequently, you can also use the alternate angle theory where you essentially extend one of the lines and you'll see two equal alternate angles

7 0
2 years ago
Conveyor belts called grain elevators are used to move grain into a silo. Answer the following questions knowing that the lower
Natalka [10]

From the given information,

a. The length of the belt is 180.28 ft

b. The height of the window from the ground is 100 ft

c. The length of the ramp needed is 141.42 ft

<h3>What is the Pythagorean theorem's formula?</h3>

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs of the triangle. I.e., (hypotenuse)² = (opposite)² + (adjacent)²

<h3>Calculation:</h3>

It is given that,

The height of the silo is 150 feet

The distance from the belt to the silo is 100 feet

With the given measurements, a right-angled triangle is formed.

a. Finding the length of the belt:

From the diagram,

The height of the silo, sh = 150 ft

The base distance, sb = 100 ft

So, the length of the conveyor belt is the hypotenuse (bh) of the triangle formed.

On applying the Pythagorean theorem,

bh² = sb² + sh²

⇒ bh² = (100)² + (150)²

⇒ bh² = 32500

⇒ bh = √32500 = 50√13

∴ bh = 180.28 ft

Thus, the length of the belt is 180.28 ft.

b. Finding the height of the window from the ground:

It is given that the angle of elevation from the lower end of the belt(b) to a window(w) on the side of the silo is 45°.

This creates a special right-angled triangle. I.e.,

The angles of the new triangle are 90°- 45°. So, the third angle also becomes 45° (Since the sum of angles in a triangle is 180°)

So, the new triangle has angles of 90°- 45°- 45°

Thus, the new triangle is said to be an isosceles right angled triangle.

So, the two legs of the triangle are equal. I.e., sb = sw = 100 ft

Therefore, the height of the window from the ground(sw) is 100 ft

c. Finding the length of the ramp(bw) to the window:

Since we have

sw = 100 ft and sb = 100 ft

On applying Pythagora's theorem,

bw² = sb² + sw²

⇒ bw² = (100)² + (100)²

⇒ bw = √20000 = 141.42 ft

Therefore, the length of the ramp to the window is 141.42 ft.

Learn more about the Pythagorean theorem here:

brainly.com/question/343682

#SPJ1

3 0
2 years ago
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