All categories

3 years ago

Need help ASAP plzzzzzz tyyyyyyyyy

Mathematics

1 answer:

Marta_Voda [28]3 years ago

3 0

Answer:

(-3, -66) , (3, 6) , (5, 30)

Step-by-step explanation:

y= 12x-30=12(-3)-30=-36-30=-66

y=12x-30=12(3)-30=36-30=6

y=12x-30=12(5)-30=60-30=30

Remember PEMDAS, Parentheses Exponents Multiplication Division Additon Subtraction.

You might be interested in

Smallest to largest <br> 3/4 5/6 16/25 9/15

inn [45]

Answer: 3-4-5-6-9-15-16-25

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit

Phantasy [73]

Answer:

$y=-2.95836 x +234.56159$

Step-by-step explanation:

We assume that th data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 48, 22, 35, 43, 171, 13, 185, 25

a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =50+ 55+ 50+ 79+ 44+ 37+ 70+ 45+ 49=479$

$\sum_{i=1}^n y_i =152+ 48+ 22+ 35+ 43+ 171+ 13+ 185+ 25=694$

$\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897$

$\sum_{i=1}^n y^2_i =152^2 + 48^2 + 22^2 + 35^2 + 43^2 + 171^2 + 13^2 + 185^2 + 25^2=93226$

$\sum_{i=1}^n x_i y_i =50*152+ 55*48+ 50*22+ 79*35+ 44*43+ 37*171+ 70*13+ 45*185+ 49*25=32784$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.556$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=32784-\frac{479*694}{9}=-4152.22$

And the slope would be:

$m=-\frac{-4152.222}{1403.556}=-2.95836$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.222$

$\bar y= \frac{\sum y_i}{n}=\frac{694}{9}=77.111$

And we can find the intercept using this:

$b=\bar y -m \bar x=77.1111111-(-2.95836*53.22222222)=234.56159$

So the line would be given by:

$y=-2.95836 x +234.56159$

7 0

3 years ago

Translate the following statement to an inequality.

Irina-Kira [14]

Answer:

Step-by-step explanation:

a number no less then 15

let the number be x

no less then 15....means it has to be 15 or more

x > = 15 (thats greater then or equal to)

3 0

3 years ago

What is the expression for the area of the old garden if the perimeter is 6w+8, where W represents the width?

musickatia [10]

Answer:

w(2w+4)

Step-by-step explanation:

we know A = l * w

and Perimeter = 2l + 2w

we want to find l in terms of w

2l + 2w = 6w + 8

2l = 4w + 8

l = 2w + 4

so A = w * (2w + 4)

8 0

3 years ago

If PQRS is a rhombus, which statements must be true? Check all that apply.

Alexxx [7]

Answer:

PT=RT

PR is prependicular to qs

PQ=QR

QPR is congruent to SPR

Step-by-step explanation:

6 0

2 years ago