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2 years ago

Mark has 10 pens. Kate has 5 times as many pens as Mark.

Mathematics

1 answer:

Inessa05 [86]2 years ago

5 0

Answer:

The third one, y = 5 x 10

Step-by-step explanation:

y = number of Kate's pens, 5 = how many times more pens Kate has than Mark, and 10 = how many pens Mark has.

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Prove that the diagonals of a rectangle bisect each other.

Umnica [9.8K]

Answer:

Step-by-step explanation:

example A(2a,0),B(2b,0)

C(2b,2c),D(2a,2c)

mid point of AC=((2a+2b)/2,(0+2c)/2)=(a+b,c)

mid point of BD=((2b+2a)/2,(0+2c)/2)=(a+b,c)

∴midpoint of diagonals same or diagonals bisect each other.

7 0

3 years ago

What is equivalent to 5^3•5^4

mafiozo [28]

Answer:

${5}^{7}$

Step-by-step explanation:

$5^3•5^4 = {5}^{3 + 4} = \purple{ \bold{ {5}^{7} }}$

8 0

2 years ago

Which is another way to write 42+63?

eduard

Forty two plus sixty three that's your answer

7 0

2 years ago

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

1 year ago

1 foot =12 inches therefore 3 feet = what

scoundrel [369]

Answer:

36 inches

Step-by-step explanation:

Just multipy 3 by 12.

5 0

3 years ago