Order of the set of numbers from least to greatest : Square root of 64, 8 1/7,8.14...,15/2 please help

Sam is observing the velocity of a car at different times. After two hours, the velocity of the car is 50 km/h. After six hours,

Alexeev081 [22]

Part A)

$\bf \begin{array}{ccllll}
hours(x)&velocity(y)\\
-----&-----\\
2&50\\
6&54
\end{array}\\\\
-------------------------------\\\\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 2}}\quad ,&{{ 50}})\quad 
% (c,d)
&({{ 6}}\quad ,&{{ 54}})
\end{array}$

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{54-50}{6-2}\implies \cfrac{4}{4}\implies 1
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-50=1(x-2)\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y-50=x-2\implies \boxed{y-x=48}\impliedby 
\begin{array}{llll}
standard\\
form
\end{array}$

part B)

well, to graph a LINEar equation, since it's just a LINE, you simply need two points to graph a line, and since we know that y - x = 48.... if you want to know what's "y" when x = 7? or 7 hours, well

y - (7) = 48
y = 48 + 7
y = 55

so.. that's the point for the 7th hour, 7, 55, and you can pick any other point above, and graph it away.

6 0

3 years ago

Solve for y, give the slope and y intercept 5y=20, -y + 3=15x, y +1/3x=17

qaws [65]

$5y=20$ Equation

$y=4$ Divide by 5 on both sides

$5(4)=20$ Plug in for y

$20=20$ Simplify

y=4
slope= 0
y-intercept= 4

$^{-}y+3=15x$ Equation

$^{-}y=15x-3$ Subtract 3 from both sides

$y=-15x+3$ Divide both sides by -1

$- (^{-}15x+3) +3=15x$ Plug in for y

$15x-3+3=15x$ Distribute -1 into the parenthesis

$15x=15x$ Further simplified

y= -15x+3
slope= -15
y-intercept= 3

$y+ \frac{1}{3}x=17$ Equation

$y=^{-}\frac{1}{3}x+17$ Subtract 1/3x from both sides

$(^{-}\frac{1}{3}x+17 )+\frac{1}{3}x =17$ plug in for y

$17=17$ Simplify

y= -1/3x+17
slope= -1/3
intercept= 17

8 0

3 years ago

A polygon has vertices A(1,1), B(1, 4), C(4, 4). This figure is dilated by a factor of 3 and center of dilation (-1, 4). Find th

Art [367]

Answer:

Step-by-step explanation:

New coordinate = [old coordinate - dilation center]* scale factor + dilation center

So,

For A(1,1)

$[(1,1)-(-1,4)]*3+(-1,4)\\(2,-3)*3+(-1,4)\\(6,-9)+(-1,4)\\(5,-5)$

For B(1,4)

$[(1,4)-(-1,4)]*3+(-1,4)\\(2,0)*3+(-1,4)\\(6,0)+(-1,4)\\(5,4)$

For C(4,4)

$[(4,4)-(-1,4)]*3+(-1,4)\\(5,0)*3+(-1,4)\\(15,0)+(-1,4)\\(14,0)$

Therefore these (5,-5) , (5,4) and (14,0) are the new coordinates of polygon after dilation.

5 0

3 years ago

El prestigioso hotel Los Cisnes, cobra la recepción a las delegaciones extranjeras de acuerdo con la siguiente política: Las del

dem82 [27]

Answer:

"x" cantidad de personas, que será igual a

f(x) = $10x Si x < 30

f(x) = $9.5x si x ≥ 30

Si tenemos que son 29 personas entonces el costo es de:

f(x) = $10*29 = $290

Si incluye un miembro adicional

f(x) = $9.5*30 = $285

Ahorra un total de: $290 - $285 = $5

8 0

3 years ago

The half-life of a certain element is 100 days. How many half-lives will it be before only one-eighth of this element remains?

stiks02 [169]

12.5 not to sure youre welcome

8 0

3 years ago