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3 years ago

write an equation in point-slope form that describes the line with a slope of -3 that contains the point (1,2).

Mathematics

2 answers:

DedPeter [7]3 years ago

6 0

Y - y1 = m(x-x1)
y - 2 = -3(x - 1)

salantis [7]3 years ago

4 0

Point-slope form is

y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line.

so here it is y - 2 = -3(x - 1) Answer

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Given, f(x) = 2x + 7 Find f(3)

Elina [12.6K]

Answer:

f(3) = 13

Step-by-step explanation:

f(x) = 2x + 7

replace x with 3

f(3) = 2×3 + 7

= 6 + 7

= 13

8 0

4 years ago

At Hogwarts School of Witchcraft and Wizardry, Professor Snape was concerned about grade inflation, and suggested that the schoo

ExtremeBDS [4]

Answers:

The z scores are approximately:

Care of Magical Creatures: z = 0.333
Defense Against the Dark Arts: z = 0.583
Transfiguration: z = -0.263
Potions: z = -0.533

From those scores, we can say:

Best grade = Defense Against the Dark Arts
Worst grade = Potions

=====================================================

Further Explanation:

We'll need to convert each given score to a corresponding standardized z score.

The formula to use is

z = (x - mu)/sigma

where,

x = given grade for each class
mu = mean
sigma = standard deviation

Let's find the z score for the Care of Magical Creatures class

z = (x - mu)/sigma

z = (3.80 - 3.75)/(0.15)

z = 0.333 approximately

Repeat this process for the Defense Against the Dark Arts score.

z = (x - mu)/sigma

z = (3.60 - 3.25)/(0.60)

z = 0.583 approximately

And for the Transfiguration class as well

z = (x - mu)/sigma

z = (3.10 - 3.20)/(0.38)

z = -0.263 approximately

The negative z score means his grade below the average, whereas earlier the other scores were above the average since he got positive z scores.

Now do the final class (Potions) to get this z score

z = (x - mu)/sigma

z = (2.50 - 2.90)/(0.75)

z = -0.533 approximately

This grade is below average as well.

----------------------------

To summarize, we have these z scores

Care of Magical Creatures: z = 0.333
Defense Against the Dark Arts: z = 0.583
Transfiguration: z = -0.263
Potions: z = -0.533

Harry did his best in Defense Against the Dark Arts because the z score of 0.583 (approximate) is the largest of the four z scores. On the other hand, his worst grade is in Potions because -0.533 is the lowest z score.

3 0

2 years ago

List the factor pairs of 15

icang [17]

1,15 3,5 are the only factor pairs

5 0

3 years ago

Read 2 more answers

Five less than four times a number is nine more than twice a number

Leokris [45]

5-4a=9+2a
Hope this help

7 0

3 years ago

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Find the area of the triangle whose vertices are (2, 3); (-1, 0); (2, -4)...

Neko [114]

Answer:

Area = 14.5

Step-by-step explanation:

Let's label the given coordinates A, B, C;

Thus;

A = (2, 3)

B = (-1, 0)

C = (2, -4)

From the coordinate geometry formula, the formula for area of a triangle with 3 vertices is;

Area = [Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2

Area = [2(0 - (-4)) + (-1)(-4 - 3) + 2(3 - (-4))]/2

Area = 29/2

Area = 14.5

8 0

3 years ago