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love history [14]
3 years ago
7

30PTS only answer if you know please!

Mathematics
1 answer:
Archy [21]3 years ago
8 0
The expression inside the absolute value can be either positive or negative.

above, they solved for x in the positive expression. x/2 + 3 = 2

solve for x in the negative expression.
x/2 + 3 = -2
x/2 = -2 - 3
x/2 = -5
x = -10
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Over the last 3 years, salesperson A has earned twice as much as salesper B who in turn has averaged 50% more than salesper C. T
bekas [8.4K]
<span>A has earned twice as much as B so: A=2B
B has averaged 50% more than C so: B=C+0.5C
Combined is 220K, So A+B+C=220,000

The last equation can be re-written as:
2B+1.5C+C=220K
AND since A=2B, it can be rewritten again as:
3C+1.5C+C=220K

Now you can get C finally, since B=1.5C you can get B, then to get the average, just divide that by 3 (years) and you should be done.
So B = 60000 for 3 years</span>
4 0
3 years ago
Read 2 more answers
What’s 2x2x2x2x2xx2x2x2<br><br> Just trying to be nice and give someone brainlest
Ratling [72]

Answer:

256

Step-by-step explanation:

Can i have brainliest pls

4 0
3 years ago
Which choice is the solution to the inequality below?
Georgia [21]
<h3>hello!</h3>

In order to solve this inequality, we should divide both sides by 9:-

\sf{9x < 72}

Why 9? Because x is multiplied by 9, and we need to isolate x in order to find its value.

\sf{x < 8}

Hence, that's the solution to the inequality.

<em>It also means that the numbers less than 8 will satisfy the given inequality (make the inequality true)</em>

(Option C is correct :) )

<h3>note:-</h3>

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

8 0
2 years ago
Read 2 more answers
The graph of the function f(x) = log5 (x) is stretched vertically by a factor of 2, shifted to the left by 8 units, and shifted
atroni [7]

Answer:

We start with y = g(x) = f(x)

First, we have a vertical stretch by a factor of 2.

A vertical strech by a factor of A will be g(x) = A*f(x)

then in this case A = 2, so we have g(x) =  2*f(x)

Now we have it shifted left by 8 units.

We know that f(x - A) shift right the graph by A units (A positive), here A = 8.

then we have: g(x) =  2*f(x - 8)

Now we want shift up 3 units, if we have y = f(x) we can shift the graph up by A units as: y = g(x) + A (for A positive)

Then we have: g(x) =  2*f(x - 8) + 3

now, our function was f(x) = Log₅(x)

then g(x) = 2*log₅(x - 8) + 3.

7 0
3 years ago
Express your answer as a polynomial in standard form
Bingel [31]

Answer:

f(g(x)) = 4x² + 16x + 13

Step-by-step explanation:

Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.

<h3><u>Definitions:</u></h3>
  • The <u>polynomial in standard form</u> has terms that are arranged by <em>descending</em> order of degree.
  • In the <u>composition of function</u><em> f  </em>with function <em>g</em><em>, </em>which is alternatively expressed as <em>f  </em>° <em>g,</em> is defined as (<em>f </em> ° <em>g</em>)(x) = f(g(x)).

In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).

<h3><u>Solution:</u></h3>

Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:

f(x) = 4x + 5

g(x) = x² + 4x + 2

f(g(x)) = 4(x² + 4x + 2)  + 5

Next, distribute 4 into the parenthesis:

f(g(x)) = 4x² + 16x + 8  + 5

Combine constants:

f(g(x)) = 4x² + 16x + 13

Therefore, f(g(x)) as a polynomial in <em>x</em> that is written in standard form is: 4x² + 16x + 13.

8 0
2 years ago
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