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3 years ago

10

Can you write a 5 sentence summary about the substitution method?

1 answer:

MAXImum [283]3 years ago

6 0

Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Step-by-step explanation:

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Suppose that the scores, X, on a college entrance examination are normally distributed with a mean score of 560 and a standard d

12345 [234]

Answer:

543

Step-by-step explanation:

The 33rd percentile corresponds to a score of 542.4. In order for a score to be within the top 67%, it must be above that value. The least integer above that value is 543.

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3 years ago

Evaluate p-(m-4)(p-q) given m = -6, p=-5 and q=-5

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

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2 years ago

Suppose PR = 54, solve for QR<br> 4x-1<br> 3x-1<br> P<br> R

Svet_ta [14]

Answer:

$QR = 23$

Step-by-step explanation:

P, A, and R are collinear.

PR = 54

$PQ = 4x - 1$

$QR = 3x - 1$

To solve for the numerical length of PR, let's generate an equation to find the value of x.

According to the segment addition postulate:

$PQ + QR = PR$

$(4x - 1) + (3x - 1) = 54$ (substitution)

Solve for x

$4x - 1 + 3x - 1 = 54$

Combine like terms

$4x + 3x - 1 - 1 = 54$

$7x - 2 = 54$

Add 2 to both sides

$7x - 2 + 2 = 54 + 2$

$7x = 56$

Divide both sides by 7

$\frac{7x}{7} = \frac{56}{7}$

$x = 8$

$QR = 3x - 1$

Plug in the value of x into the equation

$QR = 3(8) - 1 = 24 - 1$

$QR = 23$

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3 years ago

What is b in terms of a and c?

aev [14]

Answer:

$b=\sqrt{c^2-a^2}$

Step-by-step explanation:

The given relation is

$c=\sqrt{a^2+b^2}$

To make $b$ the subject, we square both sides of the equation to get;

$c^2=(\sqrt{a^2+b^2})^2$

$c^2=a^2+b^2$

Isolate $b$ on one side of the equation;

$c^2-a^2=b^2$

Or

$b^2=c^2-a^2$

We take the positive square root of both sides to get;

$b=\sqrt{c^2-a^2}$

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3 years ago

What is absolute value???

Elena L [17]

<span>To remove any negative sign in front of a number, and to think of all numbers as positive (or zero). Example: |5|=5</span>

6 0

3 years ago

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