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3 years ago

Find an equation of the line passing through the pair of points. Write the equation in slope-intercept form.

Mathematics

1 answer:

muminat3 years ago

3 0

Answer:

y=10-x

Step-by-step explanation:

1. Find the slope of the equation using the formula (change in y/change in x)

(3-7)/(7-3)=-4/4=-1

2. Plug in the slope and one of the coordinate points to the slope-intercept form to find the y-intercept.

slope-intercept form: y=mx+b

7=-3+b

b=10

3. Put the slope-intercept form of the equation together.

y=10-x

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HELP ME AS FAST AS POSSIBLE! 95 POINTS!!!

Likurg_2 [28]

Answer:

Step-by-step explanation:

4 (x - 7) - 2 (x + 1) = 10

x = 10

B. -2 (x - 7) + (x + 1) = 5

x = 10

your equation is equivalent to B!

7 0

3 years ago

Read 2 more answers

a rectangle has an area of x2+8x+15 square meters and a width of x+3 what expression represents the length of the rectangle

anzhelika [568]

Answer:

1x + 5

Step-by-step explanation:

Since the area of a rectangle of width w and length l is A = l*w,

length = Area / Width.

Here, x^2 + 8x + 15

length of rectangle = ----------------------

x + 3

Use synthetic division to perform the above. The coefficients of the quadratic are a = 1, b = 8 and c = 15, and the divisor is -3 (from (x + 3).

-3 / 1 8 15

-3 -15

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

1 5 0

Since the remainer is zero (0), -3 is a root and 1x + 5 is a factor of the quadratic. This factor, representing the length of the rectangle, is 1x + 5.

Next time, kindly share the answer choices. Thank you.

6 0

3 years ago

Factor the expression. 32b + 12 32b + 12 = (Factor completely

grigory [225]

32b+12

32 and 12 is both divisible by 4 so divide them by 4 and the answers in parentheses

4(8b+3)

8 0

3 years ago

Teacl Smolts are young salmon at a stage when their skin becomes covered with silvery scales and they start to migrate from fres

erma4kov [3.2K]

Answer:

a) s = 8.81

b) Q1 = 43.4, Q2 = 49.4, Q3 = 57.35

c) See below

Step-by-step explanation:

(a) Find the standard deviation of the reflectance for these smolts. (Round your answer to two decimal places.)

In order to find the standard deviation, we need the mean first. The mean is defined as

$\bar x=\displaystyle\frac{\displaystyle\sum_{i=1}^{n}x_i}{n}$

where the $x_i$ are the values of the data collected and n=50 the size of the sample.

So, the mean is

$\bar x=50.882$

Now, the standard deviation of the sample is defined as

$s=\sqrt{\displaystyle\frac{\displaystyle\sum_{i=1}^n(x_i-\bar x)^2}{n-1}}$

and we have that our standard deviation is

s = 8.81

(b) Find the quartiles of the reflectance for these smolts

To find the quartiles, we must sort the data from lowest to largest:

33.6, 37.7, 38.3, 38.7, 42, 42, 42.2, 42.4, 42.7, 42.8, 42.9, 43.1, 43.7, 43.8, 44.2, 44.6, 45.5, 45.7, 46.3, 46.6, 47.4, 47.6, 47.7, 47.9, 49.2, 49.6, 50.5, 50.9, 51.3, 53, 53.9, 54.8, 54.9, 55.5, 56, 56, 56.2, 57.1, 57.6, 58.3, 59, 59.5, 60.4, 63.2, 63.4, 63.5, 64.6, 68, 69.1, 69.2

The first quartile is the number between the 12th and the 13th data (so 25% of the data are below it and 75% above it)

So the 1st quartile is

$Q_1=\displaystyle\frac{43.1+43.7}{2}=43.4$

The 2nd quartile is the median, the point between the 25th and 26th data, it splits the data in two halves.

$Q_2=\displaystyle\frac{49.2+49.6}{2}=49.4$

The 3rd quartile is the point between the 38th and 39th data (so 75% of the data are below it and 25% above it)

$Q_3=\displaystyle\frac{57.1+57.6}{2}=57.35$

(c) Do you prefer the standard deviation or the quartiles as a measure of spread for these data? Give reasons for your preference.

In this case, we prefer the quartiles as a measure of spread since the data are very scattered around the mean and there is no a central tendency.

3 0

3 years ago

Explica con tus palabras el significado de lim f(x)=7

Liono4ka [1.6K]

Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
(
-
∞
,
∞
)
,
{
x
|
x
∈
ℝ
}
Range:
{
y
|
y
=
7
}

6 0

3 years ago