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oee [108]
3 years ago
14

G(x) = x to the power of 2 - 6 over 3x + 10 & g(4) = what over what

Mathematics
1 answer:
dalvyx [7]3 years ago
8 0

Answer:

We have that:

g(x) = \frac{x^2 - 6}{3*x + 10}

And we want to find the value of g(4)

Then we are evaluating the function g(x) in x = 4, this means that we need to locate all the "x" in g(x), and replace them by 4.

If we do that, we get:

g(4) = \frac{4^2 - 6}{3*4 + 10}

Now we can just solve this to get:

g(4) = \frac{4^2 - 6}{3*4 + 10} = \frac{16-6}{12-10} = \frac{10}{2}  = 5

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The Social Security Administration increased the taxable wage base from $106,800 to $110,100. The 6.2% tax rate is unchanged. Jo
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Answer:

The Social Security Administration increased the taxable wage base from $106,800 to $110,100.

A:

The percent increase in the base =

\frac{110100-106800}{106800}\times100=3.09%

B:

Previous year tax = 0.062\times106800=6621.60 dollars

This year tax = 0.062\times110100=6826.20 dollars

Increase in tax = 6826.20-6621.60=204.60 dollars

Hence, Joe’s increase in Social Security tax for the new year is $204.60.

5 0
3 years ago
Find the value of this expression if x= -6 and y=1. xy^2/-7
Ahat [919]
(-6)(1)∧⁽2/-7⁾= -6 is the answer
Hope it's right
8 0
3 years ago
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Which expression has a value of 7/12<br> A. 6/8+1/4<br> B. 1/3+1/4<br> C. 7/8+4<br> D. 2 1/12+5 1/12
denis-greek [22]

Answer:

C

Step-by-step explanation:

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7 0
3 years ago
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In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s
MaRussiya [10]

Answer:

The mentioned number in the exercise is:

  • <u>362</u>

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

  • x = hundredths digit
  • y = tens digit
  • z = ones digit

We can write:

  1. x = z + 1 (the hundreds digit is one more than the ones digit).
  2. y = 2x (the tens digit is twice the hundreds digit).
  3. x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

  • x + y + z = 11
  • (z + 1) + y + z = 11 (remember x = z + 1)
  • z + 1 + y + z = 11
  • z + z +y + 1 = 11 (we just ordered the equation)
  • 2z + y + 1 = 11 (z + z = 2z)
  • 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
  • 2z + y = 10
  • 2z + (2x) = 10 (remember y = 2x)
  • 2z + 2x = 10
  • 2z + 2(z + 1) = 10 (x = z + 1 again)
  • 2z + 2z + 2 = 10
  • 4z + 2 = 10
  • 4z = 10 - 2
  • 4z = 8
  • z = 8/4
  • <u>z = 2</u>

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

  • x = z + 1
  • x = 2 + 1
  • <u>x = 3</u>

And we'll use the second equation to obtain the value of y (the tens digit):

  • y = 2x
  • y = 2(3)
  • <u>y = 6</u>

Organizing the digits, we obtain the number:

  • Number = xyz
  • <u>Number = 362</u>

As you can see, <em><u>the obtained number is 362</u></em>.

8 0
3 years ago
a random sample of 20 high school students was surveyed and asked "how long does it take you to get ready for school in the morn
Ksivusya [100]

Answer:

where are the choices

Step-by-step explanation:


8 0
3 years ago
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