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3 years ago

Find the slope of the line that passes through the given points (2,-7), (1,4)

Mathematics

1 answer:

a_sh-v [17]3 years ago

6 0

Answer:

Slope “m” = 1

Hence, the slope of the required line is 1.

Step-by-step explanation:

7/2+ -4/1 = 3/3 which is a whole number

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Plz help !!!!!!!!1

rosijanka [135]

Answer:

As outdoor temperatures increased, residents' electric bills increased.

Step-by-step explanation:

7 0

3 years ago

Find the point of diminishing returns (x comma y )for the function R(x), where R(x) represents revenue (in thousands of doll

riadik2000 [5.3K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The point of diminishing returns (x , y ) is (11, 21462)

Step-by-step explanation:

From the question we are told that

The function is $R(x) = 10,000 -x^3 - 33x^2 + 800x , \ \ 0 \le x \le 20$

Here R(x) represents revenue (in thousands of dollars) and x represents the amount spent on advertising (in thousands of dollars).

Now differentiating R(x) we have

$R'(x) = -3x^2 +66x + 800$

Finding the second derivative of R(x)

$R''(x) = -6x +66$

at inflection point $R''(x) = 0$

So $-6x +66 = 0$

=> $x= 11$

substituting value of x into R(x)

$R(x) = 10,000 -(11)^3 - 33(11)^2 + 800(11) ,$

$R(x) = 21462$

Now the point of diminishing returns (x , y ) i.e (x , R(x) ) is

(11, 21462)

4 0

3 years ago

Joaquín compró una docena y media de factura la docena son parte de grasa dos tercios tiene dulce de leche y el resto son medial

Juli2301 [7.4K]

Answer:

2 facturas de grasa.

12 facturas con dulce de leche

4 medialunas

Step-by-step explanation:

Una docena contiene 12 facturas y media docena contiene 6 facturas. Entonces Joaquin compro un total de 18 facturas (12+6). Si la novena parte (1/9) de las facturas son de grasa entonces solo multiplicamos esta fraccion por la totalidad de las facturas.

18 * (1/9) = 2 facturas de grasa.

La cantidad de facturas que tienen dulce de leche son dos tercios (2/3) de la totalidad. Entonces multiplicamos esta fracion for la totalidad.

18 * (2/3) = 12 facturas con dulce de leche

Por final, la cantidad de media lunas es el resto de las facturas, entonces descontamos las facturas de grasa y con dulce de leche de la totalidad para saber cuantas facturas son medialunas

18 - 2 - 12 = 4 medialunas

8 0

3 years ago

A cube has a surface area of 486 cm2. What is the side length ?

astraxan [27]

A Cube, has all equal sides, namely, the length, width and height
are all equal to each other

so.. notice the picture added here
you have really, 6 squares, stacked up to each other at the edges

so...what is the Area of one of those squares?
well, if the sides are equal, let's say the side is "x" long, then
the Area is $x\cdot x \implies x^2$

well, you have 6 of those squares, thus $\bf \textit{surface area of a cube}=
\begin{cases}
(x\cdot x)+\\
(x\cdot x)+\\
(x\cdot x)+\\
(x\cdot x)+\\
(x\cdot x)+\\
(x\cdot x)\\
 --------------\\
 x^2+x^2+x^2+x^2+x^2\\
6x^2
\end{cases}
\\\\
\textit{we know the Area is }486\ cm^2\qquad thus
\\\\
\textit{surface area}=6x^2\implies 486=6x^2$

solve for "x", to get one side's length

3 0

3 years ago

Write the prime factorization of each number using exponents.<br> 50 =<br> 20 =

OLEGan [10]

50 = 2 x 25 = 2 x 5 x 5 = 2 x 5^2

20 = 2 x 10 = 2 x 2 x 5 = 2^2 x 5

5 0

3 years ago