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balandron [24]
3 years ago
7

Given f(x)=3x-1 and g(x)=2x-3, for which value of x does g(x)=f(2)?

Mathematics
2 answers:
zavuch27 [327]3 years ago
8 0

Answer: x=4

Step-by-step explanation:

Black_prince [1.1K]3 years ago
5 0
F(x) = 3x - 1
g(x) = 2x - 3
f(2) = 3(2) - 1 = 6 - 1 = 5

g(x) = f(2) => 2x - 3 = 5
2x = 5 + 3 = 8
x = 8/2 = 4
x = 4
You might be interested in
Urgent help please
rosijanka [135]

Let's assume the frequency of sound be f and wave length is w.

Given that, the frequency of sound varies inversely as the wavelength.

So, we can set up an equation as following:

f*w = k Where k= constant of variation.

Other information is, the frequency of a musical note is 276 cycles per second when the wavelength is 1.2m.

So, next step is to plug in f = 276 and w = 1.2 in the above equation to get the value of k.

276 * 1.2 = k

So, k = 331.2

Next step is to plug in k = 331.2 in the above equation. So,

f * w = 331.2

Now we need to find the wave length : w when frequency : f = 600.

Therefore,

600 * w = 331.2

w = \frac{331.2}{600}

So, w = 0.552

Hence, the wave length is 0.552 m.

Hope this helps you!.

5 0
3 years ago
Help me and you will get more points
AlekseyPX

z = 3m - 2n

Step-by-step explanation:

1000^m ÷ 100^n

Rewrite them in exponent form

That's

10^3m ÷ 10^2n

Since the bases are the same and they are dividing we subtract the exponents

That's

10^3m - 2n

Comparing it with 10^z

10^3m - 2n = 10^z

z = 3m - 2n

Hope this helps you

3 0
3 years ago
Im confused <br><br><br> khan academy 8th grade
Anit [1.1K]

Answer:

14

Step-by-step explanation:

hi! so the question is asking what h is when you input -18 for x, right?

inputing in this question means to substitute, meaning that in this equation, -18 will take the place of x!

  • let's see what the equation looks like now
  • h = 17 + \frac{-18}{6}
  • easy as that!

now let's do the math :)

  • because of PEMDAS, remember to do the fraction (dividing) first!
  • h = 17 + (-3)

we can change that to --> h = 17 - 3

h = 14

let me know if you're still confused!

7 0
2 years ago
Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day. At the same rates two Nissans, four Fords, and thr
Sindrei [870]

Answer:

The rental rate for the Fords is of $12 per day.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a Nissan.

y is the cost of a Ford.

z is the cost of a Chevrolet.

Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day.

This means that:

3x + 2y + 4z = 106

Two Nissans, four Fords, and three Chevrolets cost $107 per day

This means that:

2x + 4y + 3z = 107

Four Nissans, three Fords, and two Chevrolets cost $102 per day.

This means that:

4x + 3y + 2z = 102

From the first equation:

4z = 106 - 3x - 2y

2z = 53 - 1.5x - y

z = 26.5 - 0.75x - 0.5y

Replacing into the third equation:

4x + 3y + 53 - 1.5x - y = 102

2.5x + 2y = 49

From the second equation:

2x + 4y + 3z = 107

2x = 107 - 4y - 3z

x = 53.5 - 2y - 1.5z

x = 53.5 - 2y - 1.5(26.5 - 0.75x - 0.5y)

x - 1.125x = 53.5 - 2y - 39.75 + 0.75y

-0.125x = 13.75 - 1.25y

0.125x = 1.25y - 13.75

x = \frac{1.25y - 13.75}{0.125}

x = 10y - 110

Find the rental rate for the Fords.

We have to find y, so:

2.5x + 2y = 49

2.5(10y - 110) + 2y = 49

25y - 275 + 2y = 49

27y = 324

y = \frac{324}{27}

y = 12

The rental rate for the Fords is of $12 per day.

3 0
3 years ago
Someone help me with this answer please !!
Aleks04 [339]

Answer:

-27

Step-by-step explanation:

7 0
2 years ago
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