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Aleksandr-060686 [28]

3 years ago

14

Zoe is solving the equation 3x – 4 = –10 for x. She used the addition property of equality to isolate the variable term as shown

. 3x – 4 = –10 3x – 4 + 4 = –10 + 4 3x = – 6

1 answer:

kherson [118]3 years ago

3 0

3x-4 = -10

3x-4 +4 = -10 +4

3x = -6

then you can divide it :

x = -6 : 3

x= -2

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marishachu [46]

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One solution of x^2-64=0 is 8. what is the other solution?

ivann1987 [24]

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Given that f.x 3x-2 over x+1 g[x] x +5 evaluate f[-4] and gf [-2]

Jobisdone [24]

The value of f[ -4 ] and g°f[-2] are $\frac{14}{3}$ and 13 respectively.

<h3>What is the value of f[-4] and g°f[-2]?</h3>

Given the function;

$f(x) = \frac{3x-2}{x+1}$
$g(x)=x+5$
f[ -4 ] = ?
g°f[ -2 ] = ?

For f[ -4 ], we substitute -4 for every variable x in the function.

$f(x) = \frac{3x-2}{x+1}\\\\f(-4) = \frac{3(-4)-2}{(-4)+1}\\\\f(-4) = \frac{-12-2}{-4+1}\\\\f(-4) = \frac{-14}{-3}\\\\f(-4) = \frac{14}{3}$

For g°f[-2]

g°f[-2] is expressed as g(f(-2))

$g(\frac{3x-2}{x+1}) = (\frac{3x-2}{x+1}) + 5\\\\g(\frac{3x-2}{x+1}) = \frac{3x-2}{x+1} + \frac{5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) = \frac{3x-2+5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) = \frac{8x+3}{x+1}\\\\We\ substitute \ in \ [-2] \\\\g(\frac{3x-2}{x+1}) = \frac{8(-2)+3}{(-2)+1}\\\\g(\frac{3x-2}{x+1}) = \frac{-16+3}{-2+1}\\\\g(\frac{3x-2}{x+1}) = \frac{-13}{-1}\\\\g(\frac{3x-2}{x+1}) = 13$

Therefore, the value of f[ -4 ] and g°f[-2] are $\frac{14}{3}$ and 13 respectively.

Learn more about composite functions here: brainly.com/question/20379727

#SPJ1

6 0

2 years ago

If the input is -8, what was the output

Diano4ka-milaya [45]

Answer:

I think the output can be any numbers because you don't have the function to put -8 in, so I can't identify the output exactly is.

Step-by-step explanation:

5 0

4 years ago

A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 2 bags of chips for $9.00. Another customer buy

stiv31 [10]

Answer: hot dog = $1.75

<u>Step-by-step explanation:</u>

Let h represent hot dogs and c represent bags of chips.

Customer 1: 4h + 2c = 9.00 → 3(4h + 2c = 9.00) → 12h + 6c = 27.00

Customer 2: 5h + 3c = 11.75 → -2(5h + 3c = 11.75) → <u>-10h - 6c </u>= <u>-23.50</u>

2h = 3.50

<u> ÷2 </u> <u> ÷2 </u>

h = 1.75

7 0

3 years ago