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3 years ago

If f(x)=-3x+4 and g(x)=2, solve for the value of x for which f(x)=g(x) is true

Mathematics

1 answer:

Crazy boy [7]3 years ago

5 0

Answer: 2/3

Step-by-step explanation:

Fx) = g(x)

−3x + 4 = 2

-3x + 4 - 4 = 2 - 4

-3x = -2

Dividing by -3 on both sides;

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

x = 2/3

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A compound experiment consists of tossing a coin, drawing a letter at random from the alphabet, and then tossing two coins. What

Artemon [7]

We should each take these probabilities first individually.
Probability of tails in a coin toss = 1/2
Probability of <span>drawing letter T from the alphabet = 1/26
Probability of 2 tails in 2 coin toss = 1/4
Sample space = {HH, TT, HT, TH}

Add these together since these events happen after another = 1/2 + 1/26 / + 1/4 = 41/52

The final probability is 41/52</span>

7 0

4 years ago

Read 2 more answers

At the park there a pool shaped like a circle. A - shaped path goes around the pool. Its inner diameter is 18 yd and its outer d

Hoochie [10]

Answer:

46 gallons

Explanation:

First, we need to calculate the area of the path. This area can be calculated as the difference between the area of the outer circle and the area of the inner circle. The area of a circle is equal to

$A=\pi r^2$

Where r is the radius. For the outer circle, the diameter is 28 yd, so the radius is equal to

radius = diameter/2

radius = 28 yd/2

radius = 14 yd

Then, the area of the outer circle is

$\begin{gathered} A=(3.14)(14\text{ yd\rparen}^2 \\ \text{ A = \lparen3.14\rparen\lparen196 yd}^2) \\ A=615.44\text{ yd}^2 \end{gathered}$

In the same way, the radius of the inner circle is

radius = diameter/2

radius = 18 yd/2

radius = 9 yd

Then, the area is

$\begin{gathered} A=(3.14)(9\text{ yd\rparen}^2 \\ A=(3.14)(81\text{ yd}^2) \\ A=254.34\text{ yd}^2 \end{gathered}$

So, the area of the path is

Area path = 615.44 yd² - 254.34 yd²

Area path = 361.1 yd²

Now, we know that one gallon can cover 8 yd², so we can calculate the number of gallons as

$361.1\text{ yd}^2\times\frac{1\text{ gallon}}{8\text{ yd}^2}=45.14\text{ gallons}$

Therefore, the number of gallons is 46 because we need to round the result to a whole number.

8 0

2 years ago

I need your help! Will give brainiest!

Andreas93 [3]

Answer:

$128,270

Step-by-step explanation:

Hello!

The income amount $168,050 fits into the fourth line of the table ($82,250-$171,550). The tax on $168,050 is found as follows:

$16,750 plus 0.28 times the amount over $82,250.

Let's figure the tax: $16,750 + 0.28($82,250) = $16,750 + $23,030, or

$39,780. If this tax is deducted from the person's gross pay, the amount left ("take home pay") will be $168,050 - $39,780, or $128,270.

7 0

4 years ago

Solve the equation on the interval [0,2π). cos^4x=cos^4xcscx

Luba_88 [7]

$\bf cos^4(x)=cos^4(x)csc(x)\\\\
-----------------------------\\\\
cos^4(x)=cos^4(x)\cfrac{1}{sin(x)}\implies cos^4(x)=\cfrac{cos^4(x)}{sin(x)}
\\\\\\
cos^4(x)sin(x)=cos^4(x)\implies cos^4(x)sin(x)-cos^4(x)=0
\\\\\\
cos^4(x)[sin(x)-1]=0\to 
\begin{cases}
cos^4(x)=0\to x=cos^{-1}(0)\\
----------\\
sin(x)-1=0\\
sin(x)=1\to x=sin^{-1}(1)
\end{cases}$

$\bf \measuredangle x = cos^{-1}(0)\implies \measuredangle x = 
\begin{cases}
\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}
\\\\\\
\measuredangle x=sin^{-1}(1)\implies \measuredangle x=\frac{\pi }{2}$

8 0

4 years ago

Plz help will give 100 points and brain-ly-est

Anastaziya [24]

I hope I have helped you

4 0

3 years ago