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2 years ago

Please help! 20+ points!!

Mathematics

1 answer:

Aleksandr [31]2 years ago

7 0

Answer:

y = -2x + 8

Step-by-step explanation:

f(2) = 4 is the same as (2, 4) where x = 2 and y = 4

f(3) = 2 is the same as (3, 2) where x = 3 and y = 2

m is the slope of the line

b is the y-intercept

y = mx + b

To find the slope,

m = (y2 - y1)/(x2 - x1) = (2 - 4)/(3 - 2) = (-2)/(1) = -2

m = -2

y = -2x + b

To solve for b, take one of the two given values.

Using (2, 4)

4 = -2(2) + b

4 = -4 + b

b = 8

Using (3,2)

2 = -2(3) + b

2 = -6 + b

b = 8

y = -2x + 8

To double check b = 8,

The y-intercept is when x = 0.

y = -2(0) + 8

y = 8

(0, 8)

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2 years ago

At a competition with 7 runners, medals are awarded for first, second, and

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Answer:

Option A - Permutation; number of ways = 210

Step-by-step explanation:

Given : At a competition with 7 runners, medals are awarded for first, second, and third places. Each of the 3 medals is different.

To find : How many ways are there to award the medals?

Solution :

There are 7 runners but medals are three.

The first runner up got first medal as one is locked.

The second runner up got second medal as second is locked.

The third runner up got the third medal.

So, There is a permutation.

Number of ways to award the medals is $^7P_3$

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$^7P_3=\frac{7!}{(7-3)!}$

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2 years ago

Fully factorise x² + 7x+6

marin [14]

$\\ {\large{\textsf{\textbf{\underline{\underline{ Question \: :}}}}}} \\$

Factorise ;

x² + 7x+6

$\qquad\rule{120pt}{2pt}$

$\\ {\large{\textsf{\textbf{\underline{\underline{ Solution \: :}}}}}} \\$

$\\ \sf \implies \: {x}^{2} + 7x+6 \\$

$\\ \sf \implies \: {x}^{2} + 6x + x+6 \\$

$\\ \sf \implies \: x(x + 6) +1 (x+6) \\$

$\\ \sf \implies \: (x + 6) (x+1) \\$

$\\ \sf \implies \: x + 6= 0 \:\:\:\: and\:\:\:\: x+1=0 \\$

$\\ \sf \implies \: x= 0 -6\:\:\:\: and\:\:\:\: x=0-1 \\$

$\\ \sf \implies \: x= -6\:\:\:\: and\:\:\:\: x=-1 \\$

$\\\sf\implies\;{\underline{\boxed {\bf{ \:\:x=-6\:\: }}} }\red\bigstar \;\; \;\; \;{\underline{\boxed {\bf{ \:\:x=-1\:\: }}} }\red\bigstar \\$

$\\\qquad\rule{120pt}{2pt}\\$

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4 months ago

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1 year ago

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inessss [21]

Answer:

True.

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