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Vsevolod [243]
3 years ago
10

Consider the function below. Find f(5)

Mathematics
1 answer:
Alex73 [517]3 years ago
8 0

Answer:

-3

Step-by-step explanation:

f(x)=-2x+7

f(5)=-2×5+7

=-10+7

=-3

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PLEASE HELP!!! Find the equation , in the standard form of the line passing through the points (3,-4) and (5,1)
ExtremeBDS [4]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 3 &,& -4~) 
%  (c,d)
&&(~ 5 &,& 1~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-4)}{5-3}\implies \cfrac{1+4}{5-3}\implies \cfrac{5}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{5}{2}(x-3)\implies y+4=\cfrac{5}{2}x-\cfrac{15}{2}

\bf y=\cfrac{5}{2}x-\cfrac{15}{2}-4\implies y=\cfrac{5}{2}x-\cfrac{23}{2}\impliedby 
\begin{array}{llll}
\textit{now let's multiply both}\\
\textit{sides by }\stackrel{LCD}{2}
\end{array}
\\\\\\
2(y)=2\left( \cfrac{5}{2}x-\cfrac{23}{2} \right)\implies 2y=5x-23\implies \stackrel{standard~form}{-5x+2y=-23}
\\\\\\
\textit{and if we multiply both sides by -1}\qquad 5x-2y=23

side note:  multiplying by the LCD of both sides is just to get rid of the denominators
5 0
3 years ago
Please help with both and leave a small explanation! I wanna double check my answers! Also I’ll mark brainliest :)
77julia77 [94]

Answer:

1. 10m

2. 18 ft

Step-by-step explanation:

These are just ratios. They are both essentially doubling

7 0
2 years ago
Read 2 more answers
Last month you spent $20 on art supplies. This month you spent 180% of what you spent last month. How much did you spend this mo
Stolb23 [73]
$20 × 1.8 (180% in decimal form) = 36

$36 is how much you spent the 2nd

Brainliest please!
7 0
3 years ago
Ratio of 25 cm : 15m<br><br><br>answer fast
Alina [70]

Answer:

soln

1m= 100cm

25cm÷15m×100cm

25cm÷1500cm

60:1

is a answer

Step-by-step explanation:

hope you like my answer

3 0
3 years ago
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Use geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27
Darya [45]

Answer:

18

Step-by-step explanation:

<em>First, use the equation for geometric mean; an=a1r^n-1</em>

*where is an is the number at an n term, r is the ratio and a1 is the first number of the sequence.*

12 = a1 r^5

27 = a1r^7

From the equations above,

a1 = 128/81

r = 3/2

Therefore, the 7th term is:

an = (128/81) (3/2)^6

an = 18

hope this helps :)

3 0
2 years ago
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