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3 years ago

Find the slope of the line that goes through the points (0,2) and (-1,-4)

Mathematics

2 answers:

Irina18 [472]3 years ago

8 0

Step-by-step explanation:

first you label the number

then you solve with a table shown above and the answer is the number you got from subtracting or adding

hope it helped

loris [4]3 years ago

3 0

The formula foh slope is y1-y2/x1-x2 , therefore , the slope is 6

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US THE DISTRIBUTIVE PROPERTY TO ANSWER

Svetradugi [14.3K]

Answer:

1. -6t - 18

2. 21n - 14

3. -28 + 7t

4. 5m - 30

5. -48 + 8c

6. -15y -24

Step-by-step explanation:

Hope this helps!!!

3 0

3 years ago

An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed

masya89 [10]

Answer:

$P(X\leq 1) = 0.331$

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

$P(X = x) = \frac{y^xe^{-y}}{x!}$

Where y represents λ (average)

y = 2.3

Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment

Using probability notations;

$P(X\leq 1) = P(X=0) + P(X =1)$

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

$P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}$

$P(X = 0) = \frac{1 * e^{-2.3}}{1}$

$P(X = 0) = e^{-2.3}$

$P(X = 0) = 0.10025884372$

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

$P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}$

$P(X = 1) = \frac{2.3 * e^{-2.3}}{1}$

$P(X = 1) =2.3 * e^{-2.3}$

$P(X = 1) = 2.3 * 0.10025884372$

$P(X = 1) = 0.23059534055$

$P(X\leq 1) = P(X=0) + P(X =1)$

$P(X\leq 1) = 0.10025884372 + 0.23059534055$

$P(X\leq 1) = 0.33085418427$

$P(X\leq 1) = 0.331$

Hence, the required probability is 0.331

6 0

3 years ago

A circular patio has a diameter of 12 feet. Holly is stringing lights around the edge of the patio. Approximately how many feet

vivado [14]

Answer:

37.68

i took the test hope this helped

4 0

2 years ago

Review the table.

Lynna [10]

Answer:

The function that models the scenario is given as follows;

$P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}$

Step-by-step explanation:

The table of values are presented as follows;

The number of days, t, since the rumor started: 0, 1, 2, 3, 4, 5

The number of people, P, hearing the rumor: 10, 16, 26, 42, 66, 100

Imputing the given functions from the options into Microsoft Excel, and

$A = P(t) = \dfrac{250}{1 + 24 \cdot e^{-0.5 \cdot t}}$

$B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}$

$C = P(t) = \dfrac{750}{1 + 74 \cdot e^{-0.5 \cdot t}}$

$D = P(t) = \dfrac{1000}{1 + 99 \cdot e^{-0.5 \cdot t}}$

solving using the given values of the variable, t, we have;

P t A B ${}$ C D

10 ${}$ 0 ${}$ 10 ${}$ 10 ${}$ 10 ${}$ 10

16 ${}$ 1 ${}$ 16.07021 16.27604 16.34583 ${}$ 16.38095

26 ${}$ 2 ${}$ 25.43466 26.2797 26.574 26.72363

42 ${}$ 3 ${}$ 39.33834 41.89929 42.82868 43.30901

66 ${}$ 4 ${}$ 58.85058 65.51853 68.09014 69.45316

100 ${}$ 5 ${}$ 84.17395 99.55866 106.0177 109.5721

Therefore, by comparison, the function represented by $B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}$ most accurately models the scenario.

7 0

3 years ago

Read 2 more answers

*Will mark Brainliest (10 points)* Please explain, thanks!

MAVERICK [17]

Standard form Ax + By = C
so
(y - y1) = m(x - x1)
given (5, -7) and m = -1/5
so
y + 7 = -1/5(x - 5)
-5y - 35 = x - 5
x + 5y = -30

answer
d. x + 5y = -30

5 0

3 years ago