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jekas [21]
2 years ago
8

Solve log x - 2 = 3 A. 1 B. 100,000 C. 10,000 D. 10

Mathematics
1 answer:
ahrayia [7]2 years ago
4 0

Answer: 100,000

Step-by-step explanation:

Given :

logx - 2 = 3

add 2 to both sides

log x = 5

Therefore :

x = 10^{5}

x = 100,000

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y=7/24x+625/24

Step-by-step explanation:

-7x+24y=-25"2

-7x+24y=625

+7x            +7x

24y=7x+625

divide 24

y=7/24x+625/24

Got this for my mathswatch too

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In a certain Algebra 2 class of 26 students, 7 of them play basketball and 13 of them play baseball. There are 10 students who p
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3 years ago
Tracy started a job at $18,500. Each year her pay increases by $600. What is her total
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3 years ago
Amy loaned $5 to each of 20 people. She recorded each loan by writing -$5 in her bank book. What is the total changes in the amo
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2 years ago
Which statements about the graph of the function f(x) = -x2 - 4x + 2 are true? Select three options.
Nady [450]

Answer:

Domain is all real numbers.

The range is \{y|y\le 6\}

The function is increasing over (-\infty,-2).

The function is decreasing over (-2,\infty)

The function has a positive y-intercept.

-----------------This is a guess if I had interpreted your choices correctly:

Second option: The range is \{y|y\le 6\}

Third option:  The function is increasing over (-\infty,-2).

Last option:  The function has a positive y-intercept.

I can't really read some of your choices. So you can read my above and determine which is false. If you have a question about any of what I said above please let me know.

Note: I guess those 0's are suppose to be infinities? I hopefully your function is f(x)=-x^2-4x+2.

Step-by-step explanation:

f(x)=-x^2-4x+2 is a polynomial function which mean it has domain of all real numbers.  All this sentence is really saying is that there exists a number for any value you input into -x^2-4x+2.

Now since the is a quadratic then it is a parabola. We know it is a quadratic because it is comparable to ax^2+bx+c, a \neq 0.

This means the graph sort of looks like a U or an upside down U.

It is U, when a>0.

It is upside down U, when a.

So here we have a=-1 so a which means the parabola is an upside down U.  

Let's look at the range.  We know the vertex is either the highest point (if a) or the lowest point (if a>0).

The vertex here will be the highest point, again since a.

The vertex's x-coordinate can be found by evaluating \frac{-b}{2a}:

\frac{-(-4)}{2(-1)}=\frac{4}{-2}=-2.

So the y-coordinate can be found by evaluate -x^2-4x+2 for x=-2:

-(-2)^2-4(-2)+2

-(4)+8+2

4+2

6

So the highest y-coordinate is 6.  The range is therefore (-\infty,6].

If you picture the upside down U in your mind and you know the graph is symmetrical about x=-2.

Then you know the parabola is increasing on (-\infty,-2) and decreasing on (-2,\infty).

So let's look at the intevals they have:

So on (-\infty,-2) the function is increasing.

Looking on (-4,\infty) the function is increasing on (-4,-2) but decreasing on the rest of that given interval.

The function's y-intercept can be found by putting 0 in for x:

-(0)^2-4(0)+2

-0-0+2

0+2

2

The y-intercept is positive since 2>0.

8 0
3 years ago
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