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konstantin123 [22]

2 years ago

14

Write an equation of the line parallel to y=3x−7 that passes through point (2, 4).

1 answer:

MrRissso [65]2 years ago

6 0

Parallel lines share the same slope. y=3x+7 has a slope of 3, so that is the slope of the parallel line. Then use y=mx+b an plug in (2,4).
y=3x+b
4=3(2)+b
4=6+b
b=-2

So the equation is y=3x-2

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3

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3 years ago

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Aleks04 [339]

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3 years ago

Solve the inequality 2x - 5 \le -x +12. Give your answer as an interval.

ludmilkaskok [199]

Answer: $\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{17}{3}\:\\ \:\mathrm{Decimal:}&\:x\le \:5.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{17}{3}]\end{bmatrix}$

Step-by-step explanation:

$2x-5\le \:-x+12$

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$2x+x\le \:-x+17+x$

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6 0

3 years ago

Solve for C<br><br> C<br> — - 4.3 = 11.5 <br> 2

Maslowich

Answer:

The correct answer is,

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7 0

3 years ago

A golfer keeps track of his score for playing nine holes of golf (half a normal golf round). His mean score is 8080 with a sta

solniwko [45]

Answer:

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and $11\sqrt2$ respectively.

Step-by-step explanation:

Given that,

For the first 9 holes X:

E(X) = 80

SD(X)=13

For the second 9 holes Y:

E(Y) = 80

SD(Y)=13

For the sum W=X+Y, the following properties holds for means , variance and standard deviation :

E(W)=E(X)+E(Y)

and

V(W)=V(X)+V(Y)

⇒SD²(W)=SD²(X)+SD²(Y) [ Variance = (standard deviation)²]

$\Rightarrow SD(W)=\sqrt{SD^2(X)+SD^2(Y)}$

∴E(W)=E(X)+E(Y) = 80 +80=160

and

∴ $SD(W)=\sqrt{SD^2(X)+SD^2(Y)}$

$=\sqrt{11^2+11^2}$

$=\sqrt{2.11^2}$

$=11\sqrt2$

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and $11\sqrt2$ respectively.

4 0

3 years ago