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madreJ [45]
3 years ago
9

Solve for all values of c in simplest form. 43=[c+21]​

Mathematics
1 answer:
Pepsi [2]3 years ago
3 0

Answer:

If those are absolute value lines: 22 and -64

Step-by-step explanation:

43 = | c + 21 | is an absolute value equation, meaning it has two answers.

To get the first you keep 43 positive and remove the absolute values and solve normally: 43 = c + 21 -> 43 - 21 = c -> c = 22.

To get the second you make 43 negative and remove the absolute values then solve: -43 = c + 21 -> -43 - 21 = c -> c = -64

43 = 22 + 21 -> 43 = 43

43 = -64 + 21 -> 43 = 43

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What is the slope OF THE GRAPH, not what is A slope, what is THE slope
PtichkaEL [24]

You can find the slope either by just looking at the line or using the slope formula.

#1: The slope formula is:

m=\frac{y_2-y_1}{x_2-x_1}       Find two points and plug it into the formula

I will use (0, 2) and (1, -1)

(0, 2) = (x₁, y₁)

(1, -1) = (x₂, y₂)

m = \frac{y_2-y_1}{x_2-x_1}

m = \frac{2-(-1)}{0-1}   [two negatives cancel each other out and become positive]

m=\frac{2+1}{-1} =\frac{3}{-1}

m = -3

#2: To find the slope without having to do the work, you use this:

m=\frac{rise}{run}

Rise is the number of units you go up(+) or down(-) from each point

Run is the number of units you go to the right from each point

If we start at a defined/obvious point, like (0, 2), find the next point and see how many units it goes up or down and to the right. The next point is (1, -1), so from each point, you go down 3 units and to the right 1 unit. So your slope is -3/1 or -3. You can make sure the slope is right by looking at another point.

5 0
3 years ago
Read 2 more answers
What is the factorization of the trinomial below?x3 - 12x2 + 35x?
Fed [463]
X³ - 12x² + 35x

x(x² - 12x + 35)

x(x-5)(x-7)
4 0
4 years ago
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-5x+y=-4 in function form
DaniilM [7]
In standard form it would be y= 5x - 4
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WILL GIVE 11 POINTS How many solutions does the system have?
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There is one answer.  

The intersecting points are (0, 5) just for the extra if you graph them both.  
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3 years ago
A manager at a local company asked his employees how many times they had given blood in the last year. The results of the survey
Lubov Fominskaja [6]

Answer:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

Step-by-step explanation:

For this case we have the following distribution given:

X        0         1       2       3       4         5        6

P(X)  0.3   0.25   0.2   0.12   0.07   0.04   0.02

For this case we need to find first the expected value given by:

E(X) = \sum_{i=1}^n X_i P(X_I)

And replacing we got:

E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61

Now we can find the second moment given by:

E(X^2) =\sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97

And the variance would be given by:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

 

8 0
4 years ago
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