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3 years ago

7

Help me quick pls 15 pts

1 answer:

3241004551 [841]3 years ago

5 0

Answer:

(-4, 4)

Step-by-step explanation:

The solution of f(x) - g(x) = 0 is the same as that of f(x) = g(x).

If f(x) = g(x), that implies that the two graphs cross one another.

The point of intersection is (-4, 4). This is the solution.

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F(x)=1/3x4x^ <br> How do I find F(4)

djverab [1.8K]

Assuming yo meant
f(x)=(1/3)4x²

sub 4 for x
f(4)=(1/3)4(4)²
f(4)=(1/3)4(16)
f(4)=(1/3)64
f(4)=64/3

8 0

3 years ago

Im struggling to answer this question.

blsea [12.9K]

Answer:

35/100

Step-by-step explanation:

You have 12% of horses (10÷84=0.1190 and 0.1190 = 12%)

You have 54% of sheep (54÷84=0.535 and 0.535=54%)

Subtract the amount of Sheep and Horses for the total amount of animals

84-(10+54)

You have 35% of cows (29÷84=0.345 and 0.345=35%)

35% to a fraction is 35/100 (simplified version 7/20)

I hope this helps (:

8 0

3 years ago

Read 2 more answers

For 0 ≤ ϴ < 2π, how many solutions are there to tan(StartFraction theta Over 2 EndFraction) = sin(ϴ)? Note: Do not include va

Black_prince [1.1K]

Answer:

3 solutions:

$\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}$

Step-by-step explanation:

So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is $tan(\frac{\theta}{2})$ so let's focus on that part of the equation first.

We know that:

$tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}$

therefore:

$cos(\frac{\theta}{2})\neq0$

so we need to find the angles that will make the cos function equal to zero. So we get:

$cos(\frac{\theta}{2})=0$

$\frac{\theta}{2}=cos^{-1}(0)$

$\frac{\theta}{2}=\frac{\pi}{2}+\pi n$

or

$\theta=\pi+2\pi n$

we can now start plugging values in for n:

$\theta=\pi+2\pi (0)=\pi$

if we plugged any value greater than 0, we would end up with an angle that is greater than $2\pi$ so, that's the only angle we cannot include in our answer set, so:

$\theta\neq \pi$

having said this, we can now start solving the equation:

$tan(\frac{\theta}{2})=sin(\theta)$

we can start solving this equation by using the half angle formula, such a formula tells us the following:

$tan(\frac{\theta}{2})=\frac{1-cos(\theta)}{sin(\theta)}$

so we can substitute it into our equation:

$\frac{1-cos(\theta)}{sin(\theta)}=sin(\theta)$

we can now multiply both sides of the equation by $sin(\theta)$

so we get:

$1-cos(\theta)=sin^{2}(\theta)$

we can use the pythagorean identity to rewrite $sin^{2}(\theta)$ in terms of cos:

$sin^{2}(\theta)=1-cos^{2}(\theta)$

so we get:

$1-cos(\theta)=1-cos^{2}(\theta)$

we can subtract a 1 from both sides of the equation so we end up with:

$-cos(\theta)=-cos^{2}(\theta)$

and we can now add $cos^{2}(\theta)$

to both sides of the equation so we get:

$cos^{2}(\theta)-cos(\theta)=0$

and we can solve this equation by factoring. We can factor $cos(\theta)$ to get:

$cos(\theta)(cos(\theta)-1)=0$

and we can use the zero product property to solve this, so we get two equations:

Equation 1:

$cos(\theta)=0$

$\theta=cos^{-1}(0)$

$\theta={\frac{\pi}{2}, \frac{3\pi}{2}}$

Equation 2:

$cos(\theta)-1=0$

we add a 1 to both sides of the equation so we get:

$cos(\theta)=1$

$\theta=cos^{-1}(1)$

$\theta=0$

so we end up with three answers to this equation:

$\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}$

7 0

2 years ago

Need help please real fast will give brainlist

viktelen [127]

Answer:

-2

Step-by-step explanation:

Hope it helps

4 0

2 years ago

1. Mr. Jones's class collected tissue boxes. The

Llana [10]

Answer:

420 inches of space in all equal length width and height

Step-by-step explanation:

Because 4+3+7 = 14 x 30

it all equals up to 420

5 0

3 years ago