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2 years ago

Someone please explain this

Mathematics

2 answers:

jeyben [28]2 years ago

7 0

Answer:

the first one is the second one

the second one is the third one

maks197457 [2]2 years ago

3 0

Question 1 is 5 and question 2 is -20

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What is the inverse of the function below? f(x) = x - 4

iren2701 [21]

Answer:

f^-1(x) = x + 4

Step-by-step explanation:

5 0

3 years ago

A sled is being pulled across a floor by two ropes such that the angle between them is 40°. If the forces on the ropes are 100 p

Dafna1 [17]

Answer:

option 4 ⇒ 236 lb.

Step-by-step explanation:

Best explanation of the question is as shown in the attached figure.

we will use the parallelogram method to calculate resultant force.

to get the length of the resultant force ⇒ use the cosines law

The cosine law is a² = b² + c² - 2 * b * c * cos (∠A)

Applying at the question where b = F₁ , c = F₂ and ∠A = ∠x

Given that F₁ = 100 pounds , F₂ = 150 pounds and ∠x = 180° - 40° = 140°

∴ (Resultant force)² = 100² + 150² - 2 * 100 * 150 * cos (∠140) = 55481

∴ Resultant force = √55481 = 235.54 ≅ 236 pounds

The answer is option 4 ⇒ 236 lb.

8 0

3 years ago

Does anyone know how to do these maths question???

Dmitry_Shevchenko [17]

Answer:

Part 1) $f(g(x))=3(x^2)+2$

Part 2) $g(f(5))=289$

Step-by-step explanation:

we know that

A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function

we have

$f(x)=3x+2$

$g(x)=x^{2}$

Part 1) Determine f(g(x))

To find f(g(x)) substitute the function g(x) as the variable in function f(x)

$f(g(x))=3(x^2)+2$

Part 2) Determine g(f(x))

To find g(f(x)) substitute the function f(x) as the variable in function g(x)

$g(f(x))=(3x+2)^2$

For x=5

$g(f(5))=(3(5)+2)^2$

$g(f(5))=289$

3 0

2 years ago

Which of the following steps can be performed so that the square root property may easily be applied to 2x2 = 16? (1 point)

Ivan

Answer:

$\Large \boxed{\mathrm{Option \ 2}}$

Step-by-step explanation:

$2x^2 =16$

The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property.

The x variable should be isolated on one side of the equation. The x variable is squared so before performing the square root property where we take the square root of both sides, we divide both sides by 2, then take the square root of both sides.

Dividing both sides by 2.

$\displaystyle \frac{2x^2 }{2} =\frac{16}{2}$

$x^2 =8$

Taking the square root of both sides.

$\sqrt{x^2 } =\pm \sqrt{8}$

$x=\pm 2\sqrt{2}$

7 0

2 years ago

Read 2 more answers

A circle has a circumference of 28π centimeters. In terms of π, what is the area of the circle to the nearest square centimeter?

Vadim26 [7]

Hi there!

The formula to find the are of a circle is :

a = $\pi$ r²

The formula to find the circumference of a circle is :

c = 2 $\pi$ r

In order to use the area formula, you need to figure out what the radius (r) is.

If we solve for "r" in the circumference equation, we have :

r = c ÷ (2 $\pi$ )

Now we use this to replace "r" in the area formula :

a = $\pi$ ( c ÷ (2 $\pi$ ))²

When we simplify this we get :

a = c² ÷ 4 $\pi$

Now you can put your value of "c" into this equation and find "a".

*Remember, $\pi$ is about 3.1416.

Solving for "a" :

a = c² ÷ 4 $\pi$

a = 28² ÷ 4 $\pi$

28² = 28 × 28 = 784

a = 784 ÷ 4 $\pi$

4 $\pi$ = 4 × $\pi$ = 12.56637061435917

a = 784 ÷ 12.56637061435917

a = 62.38873769202297cm²

You need to round to the nearest square centimeter, which means that you need to round to the nearest whole number :

a = 62cm²

There you go! I really hope this helped, if there's anything just let me know! :)

8 0

3 years ago

Someone please explain this​

Someone please explain this