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3 years ago

Please answer question image below.

Mathematics

2 answers:

Shtirlitz [24]3 years ago

7 0

Answer: Yes, the image represents a linear function.

Step-by-step explanation:

1. Look for any trends in the table.

- Each value of x increases by 2

- Each y value increases by 3 for every increase of 2 in x.

2. Optional: Calculate the slope

Slope = change in y/change in x

(6-3)/(1-(-1)) = 3/2 = 1/2

- For every increase of x by 1, the y value will increase by 1.5.

Because the x-values and the y-values consistently share this change throughout the table, the table represents a linear function.

anastassius [24]3 years ago

3 0

Yes it has a constant rate of change which is 3/2

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Solve the proportion

mario62 [17]

Answer:

$\boxed{\sf x = 5}$

Step-by-step explanation:

$\sf Solve \: for \: x \: over \: the \: real \: numbers: \\ \sf \implies \frac{2}{x - 3} = \frac{5}{x} \\ \\ \sf Take \: the \: reciprocal \: of \: both \: sides: \\ \sf \implies \frac{x - 3}{2} = \frac{x}{5} \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \\ \sf \implies \frac{x}{2} - \frac{3}{2} = \frac{x}{5} \\ \\ \sf Subtract \: \frac{x}{5} - \frac{3}{2} \: from \: both \: sides: \\ \sf \implies \frac{x}{2} - \frac{3}{2} - ( \frac{x}{5} - \frac{3}{2} ) = \frac{x}{5} - ( \frac{x}{5} - \frac{3}{2} ) \\ \\ \sf \implies \frac{x}{2} - \frac{3}{2} - \frac{x}{5} + \frac{3}{2} = \frac{x}{5} - \frac{x}{5} + \frac{3}{2} \\ \\ \sf \frac{x}{5} - \frac{x}{5} = 0 : \\ \sf \implies \frac{x}{2} - \frac{x}{5} - \frac{3}{2} + \frac{3}{2} = \frac{3}{2} \\ \\ \sf \frac{3}{2} - \frac{3}{2} = 0: \\ \sf \implies \frac{x}{2} - \frac{x}{5} = \frac{3}{2} \\ \\ \sf \frac{x}{2} - \frac{x}{5} = \frac{5x - 2x}{10} = \frac{3x}{10} : \\ \sf \implies \frac{3x}{10} = \frac{3}{2} \\ \\ \sf Multiply \: both \: sides \: by \: \frac{10}{3} : \\ \sf \implies \frac{3x}{10} \times \frac{10}{3} = \frac{3}{2 } \times \frac{10}{3} \\ \\ \sf \frac{3x}{10} \times \frac{10}{3} = \cancel{\frac{3}{10} } \times( x) \times \cancel{ \frac{10}{3} } = x : \\ \sf \implies x = \frac{3}{2} \times \frac{10}{3} \\ \\ \sf \frac{3}{2} \times \frac{10}{3} = \cancel{ \frac{3}{2} } \times \cancel{ \frac{3}{2} } \times 5 : \\ \sf \implies x = 5$

8 0

3 years ago

R + (-5r) Please explain how it's done.

Lisa [10]

Answer:

-4r

Step-by-step explanation:

r + (-5r)

1r + (-5r)

Factor out an r

r( 1 -5)

One minus 5 is negative 4. If you have one dollar and you borrow five dollars, how much did you borrow? 4 but that 4 is borrowed so it is negative

r (-4)

-4r

7 0

3 years ago

The expression represents the cost of Janelle’s cell phone bill, where m represents the number of minutes of use. 0.05m + 12 Wha

inn [45]

Answer:

The constant in the expression is 12

Step-by-step explanation:

The constant of the expression is the value that is independent of the number of minutes Janelle uses. The expression can be written as :

f(m)=0.05m +12

Example if m is 1 or 2

f(1) = 0.05(1) +12 = 12.05

f(2= = 0.05*2 +12 =0.1 +12 = 12.1

The value 12 is the minimum price of the bill indepent of the consumption of minutes of Janelle. She will always be charged this value.

8 0

3 years ago

Read 2 more answers

What matches the expression of 36÷4

IRINA_888 [86]

Are there any multiple choice if not then it would be the inverse operation and that is multiplication so 36 divided by 4 =9 and 9 x 4=36

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3 years ago

Please help me answer this question

avanturin [10]

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Differential equations are expressions that involve derivatives. In this question we must prove that a given expression is a solution of a differential equation, that is, substituting the variables and see if the equivalence is conserved.

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